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contourLine.js-e
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contourLine.js-e
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## Copyright (c) 2016, Empirical Modelling Group
## All rights reserved.
##
## See LICENSE.txt
##
## Functions for drawing contour lines (iso-lines).
##
${{
/**Creates an object that holds the boundaries of a two or three dimensional space in which a
* function will be evaluated at various discrete points and used to form a line (or a surface).
* If zMin and zMax are both left undefined then the space is two-dimensional, otherwise
* it is three-dimensional.
*/
window.EuclideanSpace = function (xMin, yMin, zMin, xMax, yMax, zMax) {
this.xMin = xMin;
this.yMin = yMin;
this.zMin = zMin;
this.xMax = xMax;
this.yMax = yMax;
this.zMax = zMax;
}
EuclideanSpace.prototype.toString = function () {
if (this.zMin === undefined && this.zMax === undefined) {
return "EuclideanSpace(" + Eden.edenCodeForValues(this.xMin, this.yMin, this.xMax,
this.yMax) + ")";
} else {
return "EuclideanSpace(" + Eden.edenCodeForValues(this.xMin, this.yMin, this.zMin,
this.xMax, this.yMax, this.zMax) + ")";
}
}
EuclideanSpace.prototype.getEdenCode = EuclideanSpace.prototype.toString;
/**Creates an abstract representation of a two-dimensional shape produced by evaluating a
* function at discrete points. The vertices are expressed in an abstract space ranging from
* (0, 0) to (numX - 1, numY - 1), where numX and numY are the number of points to evaluate the
* function for in each direction. That is, numX and numY control the image resolution.
* @param {TwoDScalarField} field An object that provides the function values (possibly from an
* internal cache).
* @param {Number} isoValue The threshold value that determines which function values fall
* inside the boundary of the shape.
* @param {Number} t The time instant at which to evaluate the function. May be omitted if the
* function is time invariant.
*/
window.ContourData = function (field, isoValue, t) {
this.field = field;
this.isoValue = isoValue;
this.t = t;
if (field instanceof TwoDScalarField) {
//Compute and store vertices, ready to be plotted later (after simple translation and scaling).
var fieldValues = field.getValues(isoValue, t);
this.paths = this.computePaths(fieldValues);
}
}
/**Translates and scales the vertices from the abstract shape to fit the location and dimensions
* of the output space on the canvas.
* @return {Array<Array<Point>>} An array of paths, each path represented as an array of Points.
*/
ContourData.prototype.scalePaths = function (x, y, width, height, scale, lineWidth) {
var paths = this.paths;
var halfLineWidth = lineWidth / 2;
x = x + halfLineWidth;
y = y + halfLineWidth;
if (this.paths !== undefined) {
var scaledPaths = new Array(paths.length);
/* If the points are connected with straight lines then the nature of the algorithm
* prevents the vertices from being less than 0.5 units away from the edge of the space,
* except as a result of the linear interpolation post processing step, which we decide
* not to apply to the edge points. This decision means that if a value above the iso
* threshold is yielded when applying the function to a point on the edge of the input
* space then the perimeter of the shape also extends hard up the edge of the visual
* space. From this idea we get the values 2 and 0.5 below.
*/
var cellRenderWidth = (width - (lineWidth + 1) / scale) / (this.field.numX - 2);
var cellRenderHeight = (height - (lineWidth + 1) / scale) / (this.field.numY - 2);
for (var i = 0; i < paths.length; i++) {
var path = paths[i];
var scaledPath = new Array(path.length);
for (var j = 0; j < path.length; j++) {
var p = path[j];
var sx = Math.round((x + (p.x - 0.5) * cellRenderWidth) * scale) / scale;
var sy = Math.round((y + (p.y - 0.5) * cellRenderHeight) * scale) / scale;
scaledPath[j] = new Point(sx, sy);
}
scaledPaths[i] = scaledPath;
}
return scaledPaths;
} else {
return [];
}
}
ContourData.prototype.toString = function () {
return "ContourData(" + Eden.edenCodeForValues(this.field, this.isoValue, this.t) + ")";
}
ContourData.prototype.getEdenCode = ContourData.prototype.toString;
/**Computes the locations of the vertices in the abstract space and the correct order to
* traverse them in order to plot the perimeter of the shape.
* @param {Array<Array<Number>>} An array of function result values (i.e. the raw values and
* not the TwoDScalarField object that represents all of information about the field (including
* the algorithm for computing the values)).
* @return {Array<Array<Point>>} An array of paths, each path represented as an array of Points.
*/
ContourData.prototype.computePaths = function (field) {
//console.log("Field values");
//console.log(field);
if (field === undefined) {
return [];
}
var fieldObj = this.field;
var isoValue = this.isoValue;
var t = this.t;
//Compute which cells have values above the threshold.
var thresholdValues = new Array(field.length);
for (var i = 0; i < field.length; i++) {
var inputColumn = field[i];
var thresholdColumn = new Array(inputColumn.length);
thresholdValues[i] = thresholdColumn;
for (var j = 0; j < inputColumn.length; j++) {
thresholdColumn[j] = inputColumn[j] >= isoValue? 1 : 0;
}
}
//Compute patterns.
var numColumns = fieldObj.numX - 1;
var numRows = fieldObj.numY - 1;
var completed = new Array(numColumns);
var patterns = new Array(numColumns);
for (var i = 0; i < numColumns; i++) {
completed[i] = new Array(numRows);
patterns[i] = new Array(numRows);
}
var middleValue;
var allInside = true;
for (var i = 0; i < numColumns; i++) {
var columnComplete = completed[i];
var patternColumn = patterns[i];
for (var j = 0; j < numRows; j++) {
var pattern =
15 -
(thresholdValues[i][j] * 8 +
thresholdValues[i+1][j] * 4 +
thresholdValues[i+1][j+1] * 2 +
thresholdValues[i][j+1]);
if (pattern == 5 || pattern == 10) {
middleValue = fieldObj.middleValue(i, j, t);
if (middleValue >= isoValue) {
//Case "-5" is similar to Case 10, and Case "-10" like Case 5.
pattern = - pattern;
}
} // end resolve ambiguity
patternColumn[j] = pattern;
var isInside = (pattern == 0);
columnComplete[j] = Number(isInside || pattern == 15);
allInside = allInside && isInside;
} //end scan down a column
} //end scan across columns
//console.log("Patterns");
//console.log(patterns);
/* Traverse the grid. For each point not yet marked as complete, trace a path (part or all
* of the shape's perimeter) beginning from that point.
*/
var shapes = [];
this.shapes = shapes;
var shape;
if (allInside) {
var shape = new Array(4);
shape[0] = new Point(0.5, 0.5);
shape[1] = new Point(numColumns - 0.5, 0.5);
shape[2] = new Point(numColumns - 0.5, numRows - 0.5);
shape[3] = new Point(0.5, numRows - 0.5);
shapes.push(shape);
} else {
for (var i = 0; i < numColumns; i++) {
var columnComplete = completed[i];
for (var j = 0; j < numRows; j++) {
if (columnComplete[j] < 1) {
shape = this.computePathFromPoint(field, patterns, completed, i, j);
shapes.push(shape);
foundPath = true;
}
}
}
}
return shapes;
}
ContourData.prototype.computePathFromPoint = function(field, patterns, completed, beginI, beginJ) {
var fieldObj = this.field;
var maxCol = fieldObj.numX - 2;
var maxRow = fieldObj.numY - 2;
var isoValue = this.isoValue;
var prevI, prevJ;
var i = beginI;
var j = beginJ;
var points = [];
var sum, outX, outY, nextI, nextJ;
var val;
//console.log("Begin path");
do {
var pattern = patterns[i][j];
//console.log("(" + i + ", " + j + ") " + pattern);
switch (pattern) {
case 14:
val = field[i][j+1] - isoValue;
sum = 1 + val;
if (prevJ == j) {
outX = 1 - 0.5 / sum;
outY = 1;
nextI = 0;
nextJ = 1;
} else {
outX = 0;
outY = 1 - (0.5 + val) / sum;
nextI = -1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 13:
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
if (prevJ == j) {
outX = 1 - (0.5 + val) / sum;
outY = 1;
nextI = 0;
nextJ = 1;
} else {
outX = 1;
outY = 1 - (0.5 + val) / sum;
nextI = 1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 11:
val = field[i+1][j] - isoValue;
sum = 1 + val;
if (prevJ == j) {
outX = 1 - (0.5 + val) / sum;
outY = 0;
nextI = 0;
nextJ = -1;
} else {
outX = 1;
outY = 1 - 0.5 / sum;
nextI = 1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 7:
val = field[i][j] - isoValue;
sum = 1 + val;
if (prevJ == j) {
outX = 1 - 0.5 / sum;
outY = 0;
nextI = 0;
nextJ = -1;
} else {
outX = 0;
outY = 1 - 0.5 / sum;
nextI = -1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 1:
if (prevJ == j) {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 1;
nextI = 0;
nextJ = 1;
} else {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - 0.5 / sum;
nextJ = 0;
nextI = -1;
}
completed[i][j] = 1;
break;
case 2:
if (prevJ == j) {
val = field[i][j+1] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 1;
nextI = 0;
nextJ = 1;
} else {
val = field[i+1][j] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - 0.5 / sum;
nextI = 1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 4:
if (prevJ == j) {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 0;
nextI = 0;
nextJ = -1;
} else {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - (0.5 + val) / sum;
nextI = 1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 8:
if (prevJ == j) {
val = field[i+1][j] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 0;
nextI = 0;
nextJ = -1;
} else {
val = field[i][j+1] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - (0.5 + val) / sum;
nextI = -1;
nextJ = 0;
}
completed[i][j] = 1;
break;
case 12:
if (prevI == i - 1) {
val = field[i+1][j+1] - isoValue;
outX = 1;
nextI = 1;
} else {
val = field[i][j+1] - isoValue;
outX = 0;
nextI = -1;
}
sum = 1 + val;
outY = 1 - (0.5 + val) / sum;
nextJ = 0;
completed[i][j] = 1;
break;
case 9:
if (prevJ == j - 1) {
val = field[i+1][j+1] - isoValue;
outY = 1;
nextJ = 1;
} else {
val = field[i+1][j] - isoValue;
outY = 0;
nextJ = -1;
}
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
nextI = 0;
completed[i][j] = 1;
break;
case 3:
if (prevI == i - 1) {
val = field[i+1][j] - isoValue;
outX = 1;
nextI = 1;
} else {
val = field[i][j] - isoValue;
outX = 0;
nextI = -1;
}
sum = 1 + val;
outY = 1 - 0.5 / sum;
nextJ = 0;
completed[i][j] = 1;
break;
case 6:
if (prevJ == j - 1) {
val = field[i][j+1] - isoValue;
outY = 1;
nextJ = 1;
} else {
val = field[i][j] - isoValue;
outY = 0;
nextJ = -1;
}
sum = 1 + val;
outX = 1 - 0.5 / sum;
nextI = 0;
completed[i][j] = 1;
break;
case 5:
switch (prevJ - j) {
case 0:
if (prevI == i + 1) {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 1;
nextJ = 1;
completed[i][j] = completed[i][j] + 0.4;
} else {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 0;
nextJ = -1;
completed[i][j] = completed[i][j] + 0.6;
}
nextI = 0;
break;
case 1:
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - (0.5 + val) / sum;
nextI = 1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.4;
break;
case -1:
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - 0.5 / sum;
nextI = -1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.6;
break;
default:
if (completed[i][j] == 0.4) {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - 0.5 / sum;
nextI = -1;
nextJ = 0;
completed[i][j] = 1;
} else {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - (0.5 + val) / sum;
nextI = 1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.4;
}
}
break;
case 10:
switch (prevJ - j) {
case 0:
if (prevI == i + 1) {
val = field[i+1][j] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 0;
nextJ = -1;
completed[i][j] = completed[i][j] + 0.6;
} else {
val = field[i][j+1] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 1;
nextJ = 1;
completed[i][j] = completed[i][j] + 0.4;
}
nextI = 0;
break;
case 1:
val = field[i][j+1] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - (0.5 + val) / sum;
nextI = -1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.4;
break;
case -1:
val = field[i+1][j] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - 0.5 / sum;
nextI = 1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.6;
break;
default:
if (completed[i][j] == 0.4) {
val = field[i+1][j] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 0;
nextJ = -1;
completed[i][j] = 1;
} else {
val = field[i][j+1] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 1;
nextJ = 1;
completed[i][j] = completed[i][j] + 0.4;
}
nextI = 0;
}
break;
case -5:
switch (prevJ - j) {
case 0:
if (prevI == i + 1) {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 0;
nextJ = -1;
completed[i][j] = completed[i][j] + 0.6;
} else {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 1;
nextJ = 1;
completed[i][j] = completed[i][j] + 0.4;
}
nextI = 0;
break;
case 1:
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 0;
outY = 1 - 0.5 / sum;
nextI = -1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.4;
break;
case -1:
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1;
outY = 1 - (0.5 + val) / sum;
nextI = 1;
nextJ = 0;
completed[i][j] = completed[i][j] + 0.6;
break;
default:
if (completed[i][j] == 0.4) {
val = field[i][j] - isoValue;
sum = 1 + val;
outX = 1 - 0.5 / sum;
outY = 0;
nextJ = -1;
completed[i][j] = 1;
} else {
val = field[i+1][j+1] - isoValue;
sum = 1 + val;
outX = 1 - (0.5 + val) / sum;
outY = 1;
nextJ = 1;
completed[i][j] = completed[i][j] + 0.4;
}
nextI = 0;
}
break;
}
if (i == 0) {
if (outX < 0.5) {
outX = 0.5;
}
} else if (i == maxCol) {
if (outX > 0.5) {
outX = 0.5;
}
}
if (j == 0) {
if (outY < 0.5) {
outY = 0.5;
}
} else if (j == maxRow) {
if (outY > 0.5) {
outY = 0.5;
}
}
points.push(new Point(i + outX, j + outY));
nextI = i + nextI;
nextJ = j + nextJ;
var overflowX = 0, overflowY = 0;
var prevVal;
if (nextI < 0) {
prevVal = field[0][j] - isoValue;
if (prevVal >= 0) {
//Traverse up to find the first point in column 0 that is outside of the shape.
overflowY = -1;
} else {
//Traverse down to find the first point in column 0 that is outside of the shape.
overflowY = 1;
}
} else if (nextI > maxCol) {
prevVal = field[maxCol+1][j] -isoValue;
if (prevVal >= 0) {
//Traverse up to find the first point in the rightmost column that is outside of the shape.
overflowY = -1;
} else {
//Traverse down to find the first point in the rightmost column that is outside of the shape.
overflowY = 1;
}
} else if (nextJ < 0) {
prevVal = field[i][0] - isoValue;
if (prevVal >= 0) {
//Traverse left to find the first point in row 0 that is outside of the shape.
overflowX = -1;
} else {
//Traverse right to find the first point in row 0 that is outside of the shape.
overflowX = 1;
}
} else if (nextJ > maxRow) {
prevVal = field[i][maxRow+1] - isoValue;
if (prevVal >= 0) {
//Traverse left to find the first point in the bottommost row that is outside of the shape.
overflowX = -1;
} else {
//Traverse right to find the first point in the bottommost row that is outside of the shape.
overflowX = 1;
}
}
var check, put, prev, inCoord;
while (overflowX != 0 || overflowY != 0) {
if (overflowY == -1) {
//Traverse 1 step upwards.
nextJ--;
if (nextI < 0) {
check = 0;
put = 0;
prev = -1;
} else {
check = maxCol + 1;
put = maxCol;
prev = maxCol + 1;
}
if (nextJ >= 0) {
val = field[check][nextJ] - isoValue;
if (val < 0) {
sum = 1 + prevVal;
inCoord = 1 - (0.5 + prevVal) / sum;
nextI = put;
i = prev;
j = nextJ;
points.push(new Point(put + 0.5, nextJ + inCoord));
overflowY = 0;
}
} else {
//Top-left or top-right corner reached. Start traversing right/left.
points.push(new Point(put + 0.5, 0.5));
overflowX = check == 0? 1 : -1;
overflowY = 0;
val = 0;
}
} else if (overflowY == 1) {
//Traverse 1 step downwards.
nextJ++;
if (nextI < 0) {
check = 0;
put = 0;
prev = -1;
} else {
check = maxCol + 1;
put = maxCol;
prev = maxCol + 1;
}
if (nextJ <= maxRow + 1) {
val = field[check][nextJ] - isoValue;
if (val < 0) {
sum = 1 + prevVal;
inCoord = 1 - 0.5 / sum;
nextI = put;
nextJ--;
i = prev;
j = nextJ;
points.push(new Point(put + 0.5, nextJ + inCoord));
overflowY = 0;
}
} else {
//Bottom-left or bottom-right corner reached. Start traversing right/left.
points.push(new Point(0.5, maxRow + 0.5));
overflowX = check == 0? 1 : -1;
overflowY = 0;
val = 0;
}
} else if (overflowX == -1) {
//Traverse 1 step left.
nextI--;
if (nextJ < 0) {
check = 0;
put = 0;
prev = -1;
} else {
check = maxRow + 1;
put = maxRow;
prev = maxRow + 1;
}
if (nextI >= 0) {
val = field[nextI][check] - isoValue;
if (val < 0) {
sum = 1 + prevVal;
inCoord = 1 - (0.5 + prevVal) / sum;
nextJ = put;
i = nextI;
j = prev;
points.push(new Point(nextI + inCoord, put + 0.5));
overflowX = 0;
}
} else {
//Top-left or bottom-left corner reached. Start traversing down/up.
points.push(new Point(0.5, put + 0.5));
overflowX = 0;
overflowY = check == 0? 1 : -1;
val = 0;
}
} else {
//Traverse 1 step right.
nextI++;
if (nextJ < 0) {
check = 0;
put = 0;
prev = -1;
} else {
check = maxRow + 1;
put = maxRow;
prev = maxRow + 1;
}
if (nextI <= maxCol + 1) {
val = field[nextI][check] - isoValue;
if (val < 0) {
sum = 1 + prevVal;
inCoord = 1 - 0.5 / sum;
nextI--;
nextJ = put;
i = nextI;
j = prev;
points.push(new Point(nextI + inCoord, put + 0.5));
overflowX = 0;
}
} else {
//Top-right or bottom-right corner reached. Start traversing down/up.
points.push(new Point(maxCol + 0.5, put + 0.5));
overflowX = 0;
overflowY = check == 0? 1 : -1;
val = 0;
}
}
prevVal = val;
}
prevI = i;
prevJ = j;
i = nextI;
j = nextJ;
} while (i != beginI || j != beginJ);
return points;
}
window.TwoDScalarField = function (ptr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter) {
if (numX !== undefined) {
numX = Math.ceil(numX);
}
if (numY !== undefined) {
numY = Math.ceil(numY);
}
if (numT !== undefined) {
numT = Math.ceil(numT);
}
this.ptr = ptr;
this.space = space;
this.numX = numX;
this.numY = numY;
this.tMin = tMin;
this.tMax = tMax;
this.numT = numT;
this.existsBefore = existsBefore;
this.existsAfter = existsAfter;
if (space !== undefined) {
this.cellWidth = (space.xMax - space.xMin) / numX;
this.cellHeight = (space.yMax - space.yMin) / numY;
}
}
TwoDScalarField.prototype.toString = function () {
var s = "ScalarField2D(" + Eden.edenCodeForValues(this.ptr, this.space, this.numX, this.numY);
if (this.tMin !== undefined || this.tMax !== undefined || this.numT !== undefined ||
this.existsBefore !== undefined || this.existsAfter !== undefined) {
s = s + ", " + Eden.edenCodeForValues(this.tMin, this.tMax, this.numT, this.existsBefore, this.existsAfter);
}
s = s + ")";
return s;
}
TwoDScalarField.prototype.getEdenCode = TwoDScalarField.prototype.toString;
window.KeyFrame2DScalarField = function (fPtr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter) {
TwoDScalarField.call(this, fPtr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter);
var f = fPtr.value();
this.f = f;
var keyFrames = new Array(this.numT);
this.keyFrames = keyFrames;
var minVals = new Array(this.numT);
this.minVals = minVals;
var maxVals = new Array(this.numT);
this.maxVals = maxVals;
var xMin = space.xMin;
var yMin = space.yMin;
var cellWidth = this.cellWidth;
var cellHeight = this.cellHeight;
var timeBetweenKeyframes = (tMax - tMin) / (this.numT - 1);
for (var k = 0; k < this.numT; k++) {
var minVal = Infinity;
var maxVal = -Infinity;
var t = tMin + k * timeBetweenKeyframes;
var field = new Array(this.numX);
keyFrames[k] = field;
for (var i = 0; i < this.numX; i++) {
var column = new Array(this.numY);
field[i] = column;
var x = xMin + (i + 0.5) * cellWidth;
for (var j = 0; j < this.numY; j++) {
var y = yMin + (j + 0.5) * cellHeight;
var value = f(x, y, t);
column[j] = value;
if (value < minVal) {
minVal = value;
} else if (value > maxVal) {
maxVal = value;
}
}
}
minVals[k] = minVal;
maxVals[k] = maxVal;
}
}
KeyFrame2DScalarField.prototype = new TwoDScalarField();
KeyFrame2DScalarField.prototype.middleValue = function (i, j, t) {
return this.f(
this.space.xMin + (i + 1) * this.cellWidth,
this.space.yMin + (j + 1) * this.cellHeight,
t);
}
KeyFrame2DScalarField.prototype.getValues = function (threshold, t) {
var tMin = this.tMin;
var tMax = this.tMax;
if (t !== undefined && (
(t >= tMin || this.existsBefore) &&
(t <= tMax || this.existsAfter))) {
var frameNumber = (t - tMin) / (tMax - tMin) * (this.numT - 1);
var frameNumberBefore = Math.floor(frameNumber);
var frameNumberAfter = Math.ceil(frameNumber);
if (frameNumberBefore == frameNumberAfter) {
return this.keyFrames[frameNumberBefore];
} else {
var numX = this.numX;
var numY = this.numY;
var values = new Array(numX);
var proportionAfter = frameNumber - frameNumberBefore;
var proportionBefore = frameNumberAfter - frameNumber;
var keyFrameBefore = this.keyFrames[frameNumberBefore];
var keyFrameAfter = this.keyFrames[frameNumberAfter];
var beforeMin = this.minVals[frameNumberBefore];
var beforeMax = this.maxVals[frameNumberBefore];
var afterMin = this.minVals[frameNumberAfter];
var afterMax = this.maxVals[frameNumberAfter];
var weightedMin = beforeMin * proportionBefore + afterMin * proportionAfter;
var weightedMax = beforeMax * proportionBefore + afterMax * proportionAfter;
for (var i = 0; i < numX; i++) {
var column = new Array(numY);
var columnBefore = keyFrameBefore[i];
var columnAfter = keyFrameAfter[i];
values[i] = column;
for (var j = 0; j < numY; j++) {
var value1, distance1, value2, distance2;
value1 = columnBefore[j];
if (value1 >= threshold) {
distance1 = (value1 - threshold) / (beforeMax - threshold);
} else {
distance1 = -(threshold - value1) / (threshold - beforeMin);
}
value2 = columnAfter[j];
if (value2 >= threshold) {
distance2 = (value2 - threshold) / (afterMax - threshold);
} else {
distance2 = -(threshold - value2) / (threshold - afterMin);
}
var sumDistance = distance1 * proportionBefore + distance2 * proportionAfter;
if (sumDistance >= 0) {
column[j] = threshold + sumDistance * (weightedMax - threshold);
} else {
column[j] = threshold + sumDistance * (threshold - weightedMin);
}
}
}
return values;
}
} else {
return undefined;
}
}
window.Static2DScalarField = function (fPtr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter) {
TwoDScalarField.call(this, fPtr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter);
var f = fPtr.value();
this.f = f;
var field = new Array(this.numX);
this.field = field;
var xMin = space.xMin;
var yMin = space.yMin;
var cellWidth = this.cellWidth;
var cellHeight = this.cellHeight;
var t;
if (tMin !== undefined && tMax !== undefined) {
t = (tMin + tMax) / 2;
} else if (tMin !== undefined) {
t = tMin;
} else if (tMax !== undefined) {
t = tMax;
} else {
t = 0;
}
this.t = t;
for (var i = 0; i < this.numX; i++) {
var column = new Array(this.numY);
field[i] = column;
var x = xMin + (i + 0.5) * cellWidth;
for (var j = 0; j < this.numY; j++) {
var y = yMin + (j + 0.5) * cellHeight;
column[j] = f(x, y, t);
}
}
}
Static2DScalarField.prototype = new TwoDScalarField();
Static2DScalarField.prototype.middleValue = function (i, j) {
return this.f(
this.space.xMin + (i + 1) * this.cellWidth,
this.space.yMin + (j + 1) * this.cellHeight,
this.t);
}
Static2DScalarField.prototype.getValues = function (threshold, t) {
var tMin = this.tMin;
var tMax = this.tMax;
if (t === undefined || (
(t >= tMin || tMin === undefined || this.existsBefore !== false) &&
(t <= tMax || tMax === undefined || this.existsAfter !== false))) {
return this.field;
} else {
return undefined;
}
}
window.Explicit2DScalarField = function (listPtr, space, numX, numY, tMin, tMax, numT, existsBefore, existsAfter) {
var transposed = listPtr instanceof Symbol? listPtr.value() : undefined;