lineTo3D/js/util.js

function isTwoLine(arr) {
    var max = 0,
      min = 1;
    for (var i = 0; i < arr.length; i++) {
      if (arr[i][0] > max) {
        max = arr[i][0];
      }
      if (arr[i][0] < min) {
        min = arr[i][0];
      }
    }
    return [min === 0, max];
  }
  
  /*
      @function: 加载3D线段，需要根据平台自行实现
      @info: 这里生成一个3D单位CUBE的所有线段
  */
  function _3dLine(r2x, r3x, ret) {
    // 坐标点长度
    var r1x = 0.5;
    // 矩形的各个定点
    var r2x_t = [
      [-r1x, -r1x, +r1x],
      [-r1x, +r1x, +r1x],
      [+r1x, +r1x, +r1x],
      [+r1x, -r1x, +r1x],
      [-r1x, -r1x, -r1x],
      [-r1x, +r1x, -r1x],
      [+r1x, +r1x, -r1x],
      [+r1x, -r1x, -r1x]
    ];
    // 线段的坐标
    // z轴
    var r3x_t = [
      [0, 1],
      [1, 2],
      [2, 3],
      [3, 0],
      [4, 5],
      [5, 6],
      [6, 7],
      [7, 4],
      [0, 4],
      [1, 5],
      [2, 6],
      [3, 7]
    ];
  
    // 各个线段的坐标
    var ret_t = [
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""],
      ["", ""]
    ];
    ret[0][0] = r2x[r3x[0][0]];
    for (var i = 0; i < r3x.length; i++) {
        ret[i] = {
            "3d_id":i,
            "3d_point1":r2x[r3x[i][0]],
            "3d_point2":r2x[r3x[i][1]]
        }
    //   ret[i][0] = r2x[r3x[i][0]];
    //   ret[i][1] = r2x[r3x[i][1]];
    }
    ret_t[0][0] = r2x_t[r3x_t[0][0]];
    for (var i = 0; i < r3x_t.length; i++) {
      ret_t[i][0] = r2x_t[r3x_t[i][0]];
      ret_t[i][1] = r2x_t[r3x_t[i][1]];
    }
  
    console.log(ret)
    return ret;
  }
  
  // 归一化
  function normalize(xyz, isFixed) {
    var _mo_ = Math.sqrt(xyz[0] * xyz[0] + xyz[1] * xyz[1] + xyz[2] * xyz[2]);
    var x = xyz[0] / _mo_;
    var y = xyz[1] / _mo_;
    var z = xyz[2] / _mo_;
  
    var r1x;
    if (isFixed) {
      r1x = [-y, -x, z];
    } else {
      r1x = [x, y, z];
    }
  
    return r1x;
  }
  
  /*
      @function: 相机在坐标原点上，返回空间点在球目图片上的投影点，和'_calculate3dPoint'互逆
      @param {xyz}: 空间中的3D点，不需要先进行归一化
      @return {ret}: 纹理空间的2D点，范围为[0 ,1]
  */
  
  function _calculate2dPoint(xyz) {
    var ret = ["", ""];
    //@info: 这一步是为了兼容我们所用的球目相机的正方向，并且进行归一化
    // const auto r1x = Vector<VAL64> {-xyz[1] ,-xyz[0] ,xyz[2] ,0}.normalize () ;
  
    var r1x = normalize(xyz, true);
    // var r1x = xyz
    ret[0] = Math.atan2(r1x[1], r1x[0]) / (Math.PI * 2) + 0.5;
  
    ret[1] = (Math.acos(r1x[2]) / (Math.PI * 2)) * 2;
  
    return ret;
  
    // ARRAY2<VAL64> ret ;
    // //@info: 这一步是为了兼容我们所用的球目相机的正方向，并且进行归一化
    // const auto r1x = Vector<VAL64> {-xyz[1] ,-xyz[0] ,xyz[2] ,0}.normalize () ;
    // //@info: 分别计算投影点坐标
    // //@info: 反三角函数，缩放，平移
    // ret[0] = _ATAN_ (r1x[1] , r1x[0]) / VAL64 (VALX_PI * 2) + VAL64 (0.5) ;
    // ret[1] = _ACOS_ (r1x[2]) / VAL64 (VALX_PI * 2) * 2 ;
    // return std::move (ret) ;
  }
  
  /*
      @function: 相机在坐标原点上，返回球目图片上的投影点所在单位球上的原点，和'_calculate2dPoint'互逆
      @param {txy}: 纹理空间的2D点，范围为[0 ,1]
      @return {ret}: 空间中的3D点，在单位球上
  */
  
  function _calculate3dPoint(txy) {
    var ret = ["", "", ""];
  
    var r1x = (txy[1] / 2) * (Math.PI * 2);
    var r2x = (txy[0] - 0.5) * (Math.PI * 2);
  
    ret[0] = -Math.sin(r1x) * Math.sin(r2x);
    ret[1] = -Math.sin(r1x) * Math.cos(r2x);
    ret[2] = Math.cos(r1x);
  
    return ret;
  }
  
  /*
      @function: 计算栅格化所有线段后最大生成点的数量
      @param {line}: 线段的数组，line[i][0]为第一个点，line[i][1]为第二个点
      @param {gap}: 栅格化所需的步长，既每多长生成一个点
      @return {ret}: 最大生成点的数量
  */
  
  function _calculateMaxPoint(line, gap) {
    var ret = 0;
  
    for (var i = 0; i < line.length; i++) {
      var r1x = line[i][0];
      var r2x = line[i][1];
      // Math.hypot(x1 - x0, y1 - y0);
      ret += Math.ceil(
        Math.hypot(r1x[0] - r2x[0], r1x[1] - r2x[1], r1x[2] - r2x[2]) / gap + 0.5
      );
    }
  
    return ret;
  }
  
  /*
      @function: 计算3D线段在球目图片上的栅格化投影
      @param {camera_pose_matrix}: 相机位置，外参矩阵
      @param {line}: 线段的数组，line[i][0]为第一个点，line[i][1]为第二个点
      @param {gap}: 栅格化所需的步长，既每多长生成一个点
      @return {ret}: 栅格化投影投影后的2D线段，点坐标属于纹理空间，范围为[0 ,1]
  */
  function _3dTo2d(camera_pose_matrix, line, gap) {
    var ret = [];
    var ret_t = [];
    var item;
    var r10x = numbers.matrix.inverse(camera_pose_matrix);
  
    for (var i = 0; i < line.length; i++) {
      ret_t.push({ line: [] });
      item = []
      var r1x_temp = [[line[i]["3d_point1"][0]], [line[i]['3d_point1'][1]], [line[i]['3d_point1'][2]], [1]];
      var r2x_temp = [[line[i]['3d_point2'][0]], [line[i]['3d_point2'][1]], [line[i]['3d_point2'][2]], [1]];
      var r1x = numbers.matrix.multiply(r10x, r1x_temp);
      var r2x = numbers.matrix.multiply(r10x, r2x_temp);
      var r3x =
          Math.hypot(r2x[0] - r1x[0], r2x[1] - r1x[1], r2x[2] - r1x[2]) / gap
        ;
  
      var r2r1 = [r2x[0] - r1x[0], r2x[1] - r1x[1], r2x[2] - r1x[2]];
      var hasNormalize = normalize(r2r1, false);
  
      var r5x = [
        hasNormalize[0] * gap,
        hasNormalize[1] * gap,
        hasNormalize[2] * gap
      ];
  
      for (var j = 0; j < r3x; j++) {
        var r6x = [
          parseFloat(r1x[0]) + parseFloat(r5x[0]) * j,
          parseFloat(r1x[1]) + parseFloat(r5x[1]) * j,
          parseFloat(r1x[2]) + parseFloat(r5x[2]) * j
        ];
        var r7x = _calculate2dPoint(r6x);
        if (r7x[0] > maxX) {
          maxX = r7x[0];
        }
        ret_t[i].line.push(toDecimal(r7x));
        item.push(toDecimal(r7x))
      }
      var r6x_t = [
        parseFloat(r1x[0]) + parseFloat(r5x[0]) * r3x,
        parseFloat(r1x[1]) + parseFloat(r5x[1]) * r3x,
        parseFloat(r1x[2]) + parseFloat(r5x[2]) * r3x
      ];
      var r7x_t = _calculate2dPoint(r6x_t);
      ret_t[i].line.push(toDecimal(r7x_t));
      item.push(toDecimal(r7x_t))
    ret.push({
            "3d_id":[line[i]["3d_id"]][0],  
            '2d_arr':fixLine(item)
        })
    }

    // ret2dObj(ret)
    return {
        drawArr:ret_t,
        to3d:ret2dObj(ret)
    };
    // return ret_t;

  }

  function ret2dObj(arr) {
      var ret =[];
      var item;
      var count = 0
      for (var i = 0; i < arr.length; i++) {
          for (var j = 0; j < arr[i]["2d_arr"].length; j++) {
            ret.push({
                "2d_id":count,
                "3d_id":i,
                "2d_point1":arr[i]["2d_arr"][j]["2d_point1"],
                "2d_point2":arr[i]["2d_arr"][j]["2d_point2"]
            })
            count++
          }
      }
      return {
        panorama_line_2d:ret
      }
  }
  
  function fixLine(arr) {
    var obj,
      t_arr = [];
    for (var i = 0; i < arr.length; i++) {
      obj = {
        "2d_point1": arr[i],
        "2d_point2": arr[i + 1]
      };
      if (obj["2d_point2"]) {
        t_arr.push(obj);
      }
    }
    return t_arr;
  }
  
  /**
   * 四舍五入保留6位小数
   * @param {数组} arr 
   */
  function toDecimal(arr) {
    var xf = parseFloat(arr[0]);
    var yf = parseFloat(arr[1]);
  
    if (isNaN(xf) || isNaN(yf)) {
      return;
    }
    tx = Math.round(xf * 10e5) / 10e5;
    ty = Math.round(yf * 10e5) / 10e5;
  
    return [tx, ty];
  }
  
  function make_matrix_from_quat(quat) {
    var ret = numbers.matrix.identity(4);
    var r1x =
      quat[0] * quat[0] +
      quat[1] * quat[1] +
      quat[2] * quat[2] +
      quat[3] * quat[3];
    if (r1x != 0) {
      var x2 = (2 / r1x) * quat[0];
      var y2 = (2 / r1x) * quat[1];
      var z2 = (2 / r1x) * quat[2];
      var xx = quat[0] * x2;
      var xy = quat[0] * y2;
      var xz = quat[0] * z2;
      var yy = quat[1] * y2;
      var yz = quat[1] * z2;
      var zz = quat[2] * z2;
      var wx = quat[3] * x2;
      var wy = quat[3] * y2;
      var wz = quat[3] * z2;
  
      ret[0][0] = 1 - (yy + zz);
      ret[1][0] = xy - wz;
      ret[2][0] = xz + wy;
      ret[0][1] = xy + wz;
      ret[1][1] = 1 - (xx + zz);
      ret[2][1] = yz - wx;
      ret[0][2] = xz - wy;
      ret[1][2] = yz + wx;
      ret[2][2] = 1 - (xx + yy);
    }
    // ret = numbers.matrix.multiply([[1, 0, 0], [0, 1, 0], [0, 0, 1]], transpose(ret))
  
    var tran = [
      [1, 0, 0, quat[4]],
      [0, 1, 0, quat[5]],
      [0, 0, 1, quat[6]],
      [0, 0, 0, 1]
    ];
  
    ret = numbers.matrix.multiply(tran, transpose(ret));
  
    return ret;
    //   [
    //     [1, 0, 0, quat[4]],
    //     [0, 1, 0, quat[5]],
    //     [0, 0, 1, quat[6]],
    //     [0 ,0 ,0 ,1]
    //   ]
  }
  /**
   * 矩阵转置
   * @param {矩阵} arr
   */
  function transpose(arr) {
    var arr2 = [];
    for (var i = 0; i < arr[0].length; i++) {
      arr2[i] = [];
    }
    for (var i = 0; i < arr.length; i++) {
      for (var j = 0; j < arr[i].length; j++) {
        arr2[j][i] = arr[i][j];
      }
    }
    return arr2;
  }
  
  /**
   * 画线
   * @param {*画布} context
   * @param {*画布宽度 } w
   * @param {*画布高度} h
   * @param {*水平缩放倍数} scaleTime
   * @param {*垂直缩放倍数} scaleTimeH
   * @param {*线条数组} lineArr
   * @param {*是否重画} isclear
   */
  function drawSingleLine(
    context,
    w,
    h,
    scaleTime,
    scaleTimeH,
    lineArr,
    isclear
  ) {
  
    context.beginPath();
  
    if (isclear) {
      context.clearRect(0, 0, w, h);
      context.drawImage(img, 0, 0, w, h);
    }
    context.moveTo(
      lineArr[0].line[0][0] * scaleTime,
      lineArr[0].line[0][1] * scaleTimeH
    );
  
    for (var i = 0; i < lineArr.length; i++) {
      if (isTwoLine(lineArr[i].line)[0]) {
        for (var k = 0; k < lineArr[i].line.length; k++) {
          if (lineArr[i].line[k][0] < 0.5) {
            var temp = lineArr[i].line[k][0] + isTwoLine(lineArr[i].line)[1];
            if (temp <= 1) {
              lineArr[i].line.push([temp, lineArr[i].line[k][1]]);
            }
          }
        }
      }
      context.moveTo(
        lineArr[i].line[0][0] * scaleTime,
        lineArr[i].line[0][1] * scaleTimeH
      );
      for (var j = 0; j < lineArr[i].line.length; j++) {
        if (j + 1 < lineArr[i].line.length) {
          // Math.hypot(
          //   lineArr[i].line[j+1][0] - lineArr[i].line[j][0],
          //   lineArr[i].line[j+1][1] - lineArr[i].line[j][1]
          // ) < 0.05
          if (Math.abs(lineArr[i].line[j + 1][0] - lineArr[i].line[j][0]) > 0.5) {
            context.moveTo(
              lineArr[i].line[j + 1][0] * scaleTime,
              lineArr[i].line[j + 1][1] * scaleTimeH
            );
          } else {
            context.lineTo(
              lineArr[i].line[j][0] * scaleTime,
              lineArr[i].line[j][1] * scaleTimeH
            );
          }
        }
        if (j + 1 === lineArr[i].line.length) {
          context.lineTo(
            lineArr[i].line[j][0] * scaleTime,
            lineArr[i].line[j][1] * scaleTimeH
          );
        }
      }
    }
  
    context.stroke();
  }
  
  /**
   * 选中伸缩的墙进行画线
   * @param {画布} context
   * @param {画布宽度} w
   * @param {画布高度} h
   * @param {水平缩放倍数} scaleTime
   * @param {垂直缩放倍数} scaleTimeH
   * @param {线条数组} lineArr
   */
  function selectDragLine(context, w, h, scaleTime, scaleTimeH, lineArr, test) {
    context.strokeStyle = "#ff0000";
    drawSingleLine(context, w, h, scaleTime, scaleTimeH, lineArr, true);
    context.strokeStyle = "#00ff00";
    drawSingleLine(context, w, h, scaleTime, scaleTimeH, test, false);
  }
  
  /**
   * 找到面得中心坐标
   * @param {线段数组} lineArr
   * @param {水平缩放倍数} scaleTime
   * @param {垂直缩放倍数} scaleTimeH
   */
  function _calculateMiddlePoint(test, scaleTime, scaleTimeH) {
    var minX = 1,
      minY = 1,
      maxX = 0,
      maxY = 0;
    for (var i = 0; i < test.length; i++) {
      for (var j = 0; j < test[i].line.length; j++) {
        minX = Math.min(minX, test[i].line[j][0]);
        minY = Math.min(minY, test[i].line[j][1]);
        maxX = Math.max(maxX, test[i].line[j][0]);
        maxY = Math.max(maxY, test[i].line[j][1]);
      }
    }
    return [
      ((maxX - minX) / 2 + minX) * scaleTime,
      ((maxY - minY) / 2 + minY) * scaleTimeH
    ];
  }
  
  /**
   * 计算墙体中心和鼠标坐标点的距离
   * @param {当前鼠标点击的坐标点} current
   * @param {墙体的中心点坐标} middle
   */
  function _calculateMiddlePointDistance(current, middle) {
    return _calculateDistance(current, middle);
  }
  
  /**
   * 计算两点之间的距离
   * @param {坐标点} p1
   * @param {坐标点} p2
   */
  function _calculateDistance(p1, p2) {
    return Math.sqrt(Math.pow(p2[1] - p1[1], 2) + Math.pow(p2[0] - p1[0], 2));
  }
  
  /**
   * 判断点是否在墙体上
   * @param {鼠标当前坐标点} current
   * @param {墙体线段} lineArr
   * @param {水平缩放倍数} scaleTime
   * @param {垂直缩放倍数} scaleTimeH
   */
  function isInFace(current, test, scaleTime, scaleTimeH) {
    var fixArr = [];
    var selectYArr = [];
    var minX = 1,
      minY = 1,
      maxX = 0,
      maxY = 0;
    for (var i = 0; i < test.length; i++) {
      for (var j = 0; j < test[i].line.length; j++) {
        minX = Math.min(minX, test[i].line[j][0]);
        // minY = Math.min(minY, test[i].line[j][1]);
        maxX = Math.max(maxX, test[i].line[j][0]);
        // maxY = Math.max(maxY, test[i].line[j][1]);
        fixArr.push({
          id: parseFloat(test[i].line[j][0]).toFixed(1),
          y: test[i].line[j][1]
        });
      }
    }
    for (var i = 0; i < fixArr.length; i++) {
      if (fixArr[i].id == parseFloat(current[0] / scaleTime).toFixed(1)) {
        selectYArr.push(fixArr[i].y);
      }
    }
    for (var i = 0; i < selectYArr.length; i++) {
      minY = Math.min(minY, selectYArr[i]);
      maxY = Math.max(maxY, selectYArr[i]);
    }
    return (
      current[0] > minX * scaleTime &&
      current[0] < maxX * scaleTime &&
      current[1] > minY * scaleTimeH &&
      current[1] < maxY * scaleTimeH
    );
  }
  
  /**
   * 更新墙体线段的位置
   * @param {缩放的大小} distance
   * @param {墙体线段} lineArr
   */
  function updateLineArr(distance, lineArr,_3dPoint,tag) {
    // deltaX：值为负的（-1），则表示滚轮向左滚动。值为正的（1），则表示滚轮向右滚动。
    // deltaY：值为负的（-1），则表示滚轮向下滚动。值为正的（1），则表示滚轮向上滚动。
    // deltaFactor：增量因子。通过 deltaFactor * deltaX 或者 deltaFactor * deltaY 可以得到浏览器实际的滚动距离。
    // distance = -10
    if (tag) {
      _3dPoint[2][0]+=distance
      _3dPoint[3][0]+=distance
      _3dPoint[((_3dPoint.length)/2+2)][0]+=distance
      _3dPoint[((_3dPoint.length)/2+3)][0]+=distance
    } else{
      _3dPoint[1][1]+=distance
      _3dPoint[2][1]+=distance
      _3dPoint[((_3dPoint.length)/2+1)][1]+=distance
      _3dPoint[((_3dPoint.length)/2+2)][1]+=distance
    }
    rx1 = _3dLine(r2x, r3x, ret);
    lineArr = _3dTo2d(
      make_matrix_from_quat([
        0.008515,
        -0.014279,
        0.016179,
        0.999731,
        -5.438891,
        2.167653,
        0.165233
      ]),
      rx1,
      0.05
    )["drawArr"];
    return lineArr;
  }
  
  function updateSelectArr(lineArr,idxArr) {
    var ret = [];
    for (var i = 0; i < idxArr.length; i++) {
      ret.push(lineArr[idxArr[i]])
    }
  
    return ret
  }
  
  function _culaculateFaceArr(lineArr, faceArr) {
    var ret = [];
    for (var i = 0; i < faceArr.length; i++) {
      var item = [];
      for (var j = 0; j < faceArr[i].length; j++) {
        item.push(lineArr[faceArr[i][j]]);
      }
      ret.push({
        id:i,
        arr:item
      });
    }
    
    return ret;
  }
  
  function selectWhichFace(lineArr, faceArr, current, scaleTime, scaleTimeH) {
    var allFaceArr = _culaculateFaceArr(lineArr, faceArr);
    var ret = 0;
    var tempRet = 0;
    var minDist =
      faceArr &&
      _calculateMiddlePointDistance(
        current,
        _calculateMiddlePoint(allFaceArr[0].arr, scaleTime, scaleTimeH)
      );
    for (var i = 0; i < allFaceArr.length; i++) {
      if (isInFace(current, allFaceArr[i].arr, scaleTime, scaleTimeH)) {
        // tempRet = i
        ret = i
        if (
          _calculateMiddlePointDistance(
            current,
            _calculateMiddlePoint(allFaceArr[i].arr, scaleTime, scaleTimeH)
          ) < minDist
        ) {
          minDist = _calculateMiddlePointDistance(
            current,
            _calculateMiddlePoint(allFaceArr[i].arr, scaleTime, scaleTimeH)
          );
        }else{
          ret = i
        }
      }
    }
    return  allFaceArr[ret];
  }
  
  
/**
 * 根据sta查找点
 * @param {array} line1 第一条线段的点坐标
 * @param {array} line2 第二条线段的点坐标
 * @param {Boolean} sta 决定查找相同的点或不相同的点 
 */
function findPoint(line1, line2, sta) {
    if (!line1 || !line2) {
        console.log('线段未定义' + line1 + '  ' + line2);
        return null;
    }
    if (line1.length < 2 || line2.length < 2) {
        console.log('线段点坐标个数小于3, 请检查')
        return
    }
    if (sta === null || typeof sta === 'undefined') {
        sta = true;
    }
    // 根据sta值寻找当前线段与下一线段中符合要求的点
    for (let i = 0; i < line1.length; i++) {
        // sta为false, 寻找与下一线段都不相同的点
        if (!sta && sta === arrayEquals(line1[i], line2[0]) && sta === arrayEquals(line1[i], line2[1])) {
            
            return line1[i];
        }
        // sta为true, 寻找与下一线段相交的点
        if (sta && (sta === arrayEquals(line1[i], line2[0]) || sta === arrayEquals(line1[i], line2[1]))) {
            return line1[i];
        }
    }
    return null;
}

/**
 * 判断两个数组是否相等
 * @param {array} array1 
 * @param {array} array2 
 */
function arrayEquals(array1, array2) {
    if (!array1 || !array2) {
        return false;
    }
    if (array1.length !== array2.length) {
        return false;
    }
    for (let i = 0, len = array1.length; i < len; i++) {
        if (array1[i] instanceof Array && array2[i] instanceof Array) {
            if (!equals(array1[i], array2[2])) {
                return false;
            }
        } else if (array1[i] !== array2[i]) {
            return false;
        }
    }
    return true;
}

/**
 * 判断一个数组中的元素是否都包含在另一个数组中
 * @param {array} arrays
 * @param {array} array2 
 * @returns {boolean} true-表示数组元素唯一, false表示数组元素不唯一
 */
function arrayOnly(array1, array2) {
    if(!array1 || !array2) {
        console.log('数组未定义, 请检查');
        return;
    }
    if(!array1.length || !array2.length || array1.length === 0) {
        return false;
    }
    for(let i = 0; i < array1.length; i++) {
        let num = 0;
        for(let j = 0; j < array1[i].length; j++) {
            if(array2.indexOf(array1[i][j]) >= 0) {
                // return false;
                num++;
            }
        }
        if(num === array1[i].length) {
            return true;
        }
    }
    return false;
}

function fix3dData(arr) {
    var ret = []
    var idxItem
    var idxArr = []
   
  
    for (var i = 0; i < arr.length; i++) {
        idxItem = []
        for (var j = 0; j < arr[i].length; j++) {
            ret.push(arr[i][j].points[0])
            idxItem.push(arr[i][j].id)
        }
        idxArr.push(idxItem)
    }

    // return idxArr;

    var r2x_t = [
        [-0.5, -0.5, +0.5],
        [-0.5, +0.5, +0.5],
        [+0.5, +0.5, +0.5],
        [+0.5, -0.5, +0.5],
        [-0.5, -0.5, -0.5],
        [-0.5, +0.5, -0.5],
        [+0.5, +0.5, -0.5],
        [+0.5, -0.5, -0.5]
      ];
      // 线段的坐标
      // z轴
      var r3x_t = [
        [0, 1],
        [1, 2],
        [2, 3],
        [3, 0],
        [4, 5],
        [5, 6],
        [6, 7],
        [7, 4],
        [0, 4],
        [1, 5],
        [2, 6],
        [3, 7]
      ];
    
      // 各个线段的坐标
      var ret_t = [
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""],
        ["", ""]
      ];
}