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@@ -1,9 +1,7 @@
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goog.provide('ol.reproj.Triangulation');
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goog.provide('ol.reproj.triangulation');
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goog.require('goog.array');
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goog.require('goog.math');
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goog.require('ol.coordinate');
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goog.require('ol.extent');
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goog.require('ol.proj');
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@@ -21,194 +19,224 @@ goog.require('ol.proj');
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ol.reproj.Triangle;
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/**
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* `needsShift` indicates that _any_ of the triangles has to be shifted during
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* reprojection. See {@link ol.reproj.Triangle}.
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* @typedef {{triangles: Array.<ol.reproj.Triangle>,
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* needsShift: boolean}}
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* @param {ol.proj.Projection} sourceProj
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* @param {ol.proj.Projection} targetProj
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* @param {ol.Extent} targetExtent
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* @param {ol.Extent=} opt_maxSourceExtent
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* @param {number=} opt_maxSubdiv Maximal subdivision.
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* @param {number=} opt_errorThreshold Acceptable error (in source units).
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* @constructor
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*/
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ol.reproj.Triangulation;
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ol.reproj.Triangulation = function(sourceProj, targetProj, targetExtent,
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opt_maxSourceExtent, opt_maxSubdiv, opt_errorThreshold) {
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/**
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* @type {ol.proj.Projection}
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* @private
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*/
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this.sourceProj_ = sourceProj;
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/**
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* @type {ol.proj.Projection}
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* @private
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*/
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this.targetProj_ = targetProj;
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/**
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* @type {ol.TransformFunction}
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* @private
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*/
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this.transformInv_ = ol.proj.getTransform(this.targetProj_, this.sourceProj_);
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/**
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* @type {ol.Extent}
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* @private
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*/
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this.maxSourceExtent_ = goog.isDef(opt_maxSourceExtent) ?
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opt_maxSourceExtent : null;
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var errorThreshold = goog.isDef(opt_errorThreshold) ?
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opt_errorThreshold : 0; //TODO: define
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/**
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* @type {number}
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* @private
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*/
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this.errorThresholdSquared_ = errorThreshold * errorThreshold;
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/**
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* @type {Array.<ol.reproj.Triangle>}
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* @private
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*/
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this.triangles_ = [];
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/**
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* Indicates that _any_ of the triangles has to be shifted during
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* reprojection. See {@link ol.reproj.Triangle}.
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* @type {boolean}
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* @private
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*/
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this.needsShift_ = false;
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/**
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* @type {number}
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* @private
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*/
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this.sourceWorldWidth_ = ol.extent.getWidth(this.sourceProj_.getExtent());
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var tlDst = ol.extent.getTopLeft(targetExtent);
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var trDst = ol.extent.getTopRight(targetExtent);
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var brDst = ol.extent.getBottomRight(targetExtent);
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var blDst = ol.extent.getBottomLeft(targetExtent);
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var tlDstSrc = this.transformInv_(tlDst);
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var trDstSrc = this.transformInv_(trDst);
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var brDstSrc = this.transformInv_(brDst);
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var blDstSrc = this.transformInv_(blDst);
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this.addQuadIfValid_(tlDst, trDst, brDst, blDst,
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tlDstSrc, trDstSrc, brDstSrc, blDstSrc,
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opt_maxSubdiv || 0);
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};
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/**
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* Adds triangle to the triangulation (and reprojects the vertices) if valid.
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* @private
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* @param {ol.reproj.Triangulation} triangulation
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* Adds triangle to the triangulation.
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* @param {ol.Coordinate} a
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* @param {ol.Coordinate} b
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* @param {ol.Coordinate} c
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* @param {ol.proj.Projection} sourceProj
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* @param {ol.proj.Projection} targetProj
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* @param {ol.Extent=} opt_maxTargetExtent
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* @param {ol.Extent=} opt_maxSourceExtent
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* @param {ol.Coordinate} aSrc
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* @param {ol.Coordinate} bSrc
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* @param {ol.Coordinate} cSrc
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* @param {boolean} wrapsX
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* @private
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*/
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ol.reproj.triangulation.addTriangleIfValid_ = function(triangulation, a, b, c,
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sourceProj, targetProj, opt_maxTargetExtent, opt_maxSourceExtent) {
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if (goog.isDefAndNotNull(opt_maxTargetExtent)) {
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if (!ol.extent.containsCoordinate(opt_maxTargetExtent, a) &&
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!ol.extent.containsCoordinate(opt_maxTargetExtent, b) &&
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!ol.extent.containsCoordinate(opt_maxTargetExtent, c)) {
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// whole triangle outside target projection extent -> ignore
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return;
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}
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// clamp the vertices to the extent edges before transforming
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a = ol.extent.closestCoordinate(opt_maxTargetExtent, a);
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b = ol.extent.closestCoordinate(opt_maxTargetExtent, b);
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c = ol.extent.closestCoordinate(opt_maxTargetExtent, c);
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}
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var transformInv = ol.proj.getTransform(targetProj, sourceProj);
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var aSrc = transformInv(a);
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var bSrc = transformInv(b);
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var cSrc = transformInv(c);
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if (goog.isDefAndNotNull(opt_maxSourceExtent)) {
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var srcTriangleExtent = ol.extent.boundingExtent([aSrc, bSrc, cSrc]);
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if (!ol.extent.intersects(srcTriangleExtent, opt_maxSourceExtent)) {
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// whole triangle outside source projection extent -> ignore
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// TODO: intersect triangle with the extent rather than bbox ?
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return;
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}
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if (!ol.extent.containsCoordinate(opt_maxSourceExtent, aSrc) ||
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!ol.extent.containsCoordinate(opt_maxSourceExtent, bSrc) ||
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!ol.extent.containsCoordinate(opt_maxSourceExtent, cSrc)) {
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// if any vertex is outside projection range, modify the target triangle
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// TODO: do not do closestCoordinate, but rather scale the triangle with
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// respect to a point inside the extent
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aSrc = ol.extent.closestCoordinate(opt_maxSourceExtent, aSrc);
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bSrc = ol.extent.closestCoordinate(opt_maxSourceExtent, bSrc);
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cSrc = ol.extent.closestCoordinate(opt_maxSourceExtent, cSrc);
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var makeFinite = function(coord, extent) {
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if (!goog.math.isFiniteNumber(coord[0])) {
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coord[0] = goog.math.clamp(coord[0], extent[0], extent[2]);
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}
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if (!goog.math.isFiniteNumber(coord[1])) {
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coord[1] = goog.math.clamp(coord[1], extent[1], extent[3]);
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}
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};
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makeFinite(aSrc, opt_maxSourceExtent);
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makeFinite(bSrc, opt_maxSourceExtent);
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makeFinite(cSrc, opt_maxSourceExtent);
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var transformFwd = ol.proj.getTransform(sourceProj, targetProj);
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a = transformFwd(aSrc);
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b = transformFwd(bSrc);
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c = transformFwd(cSrc);
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}
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}
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var needsShift = false;
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if (sourceProj.canWrapX()) {
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// determine if the triangle crosses the dateline here
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// This can be detected by transforming centroid of the target triangle.
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ol.reproj.Triangulation.prototype.addTriangle_ = function(a, b, c,
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aSrc, bSrc, cSrc, wrapsX) {
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// wrapsX could be determined by transforming centroid of the target triangle.
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// If the transformed centroid is outside the transformed triangle,
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// the triangle wraps around projection extent.
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// However, this would require additional transformation call.
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var centroid = [(a[0] + b[0] + c[0]) / 3,
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(a[1] + b[1] + c[1]) / 3];
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var centroidSrc = transformInv(centroid);
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if (!ol.coordinate.isInTriangle(centroidSrc, aSrc, bSrc, cSrc)) {
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needsShift = true;
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}
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}
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triangulation.triangles.push({
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this.triangles_.push({
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source: [aSrc, bSrc, cSrc],
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target: [a, b, c],
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needsShift: needsShift
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needsShift: wrapsX
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});
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if (needsShift) {
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triangulation.needsShift = true;
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if (wrapsX) {
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this.needsShift_ = true;
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}
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};
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/**
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* Triangulates given extent and reprojects vertices.
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* TODO: improved triangulation, better error handling of some trans fails
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* @param {ol.Extent} extent
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* @param {ol.proj.Projection} sourceProj
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* @param {ol.proj.Projection} targetProj
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* @param {ol.Extent=} opt_maxTargetExtent
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* @param {ol.Extent=} opt_maxSourceExtent
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* @param {number=} opt_subdiv Subdivision factor (default 4).
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* @return {ol.reproj.Triangulation}
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* Adds quad (points in clock-wise order) to the triangulation
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* (and reprojects the vertices) if valid.
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* @param {ol.Coordinate} a
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* @param {ol.Coordinate} b
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* @param {ol.Coordinate} c
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* @param {ol.Coordinate} d
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* @param {ol.Coordinate} aSrc
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* @param {ol.Coordinate} bSrc
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* @param {ol.Coordinate} cSrc
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* @param {ol.Coordinate} dSrc
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* @param {number} maxSubdiv Maximal allowed subdivision of the quad.
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* @private
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*/
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ol.reproj.triangulation.createForExtent = function(extent, sourceProj,
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targetProj, opt_maxTargetExtent, opt_maxSourceExtent, opt_subdiv) {
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ol.reproj.Triangulation.prototype.addQuadIfValid_ = function(a, b, c, d,
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aSrc, bSrc, cSrc, dSrc, maxSubdiv) {
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var triangulation = {
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triangles: [],
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needsShift: false
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};
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var srcQuadExtent = ol.extent.boundingExtent([aSrc, bSrc, cSrc, dSrc]);
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if (!goog.isNull(this.maxSourceExtent_)) {
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if (!ol.extent.intersects(srcQuadExtent, this.maxSourceExtent_)) {
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// whole quad outside source projection extent -> ignore
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return;
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}
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}
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var srcCoverageX = ol.extent.getWidth(srcQuadExtent) / this.sourceWorldWidth_;
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var tlDst = ol.extent.getTopLeft(extent);
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var brDst = ol.extent.getBottomRight(extent);
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// when the quad is wrapped in the source projection
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// it covers most of the projection extent, but not fully
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var wrapsX = this.sourceProj_.canWrapX() &&
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srcCoverageX > 0.5 && srcCoverageX < 1;
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var subdiv = opt_subdiv || 4;
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for (var y = 0; y < subdiv; y++) {
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for (var x = 0; x < subdiv; x++) {
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// do 2 triangle: [(x, y), (x + 1, y + 1), (x, y + 1)]
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// [(x, y), (x + 1, y), (x + 1, y + 1)]
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if (maxSubdiv > 0) {
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var needsSubdivision = !wrapsX && this.sourceProj_.isGlobal() &&
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srcCoverageX > 0.25; //TODO: define
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var x0y0dst = [
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goog.math.lerp(tlDst[0], brDst[0], x / subdiv),
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goog.math.lerp(tlDst[1], brDst[1], y / subdiv)
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];
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var x1y0dst = [
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goog.math.lerp(tlDst[0], brDst[0], (x + 1) / subdiv),
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goog.math.lerp(tlDst[1], brDst[1], y / subdiv)
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];
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var x0y1dst = [
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goog.math.lerp(tlDst[0], brDst[0], x / subdiv),
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goog.math.lerp(tlDst[1], brDst[1], (y + 1) / subdiv)
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];
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var x1y1dst = [
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goog.math.lerp(tlDst[0], brDst[0], (x + 1) / subdiv),
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goog.math.lerp(tlDst[1], brDst[1], (y + 1) / subdiv)
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];
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var center = [(a[0] + c[0]) / 2, (a[1] + c[1]) / 2];
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var centerSrc = this.transformInv_(center);
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ol.reproj.triangulation.addTriangleIfValid_(
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triangulation, x0y0dst, x1y1dst, x0y1dst,
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sourceProj, targetProj, opt_maxTargetExtent, opt_maxSourceExtent);
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ol.reproj.triangulation.addTriangleIfValid_(
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triangulation, x0y0dst, x1y0dst, x1y1dst,
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sourceProj, targetProj, opt_maxTargetExtent, opt_maxSourceExtent);
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if (!needsSubdivision) {
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var dx;
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if (wrapsX) {
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var centerSrcEstimX =
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(goog.math.modulo(aSrc[0], this.sourceWorldWidth_) +
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goog.math.modulo(cSrc[0], this.sourceWorldWidth_)) / 2;
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dx = centerSrcEstimX -
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goog.math.modulo(centerSrc[0], this.sourceWorldWidth_);
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} else {
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dx = (aSrc[0] + cSrc[0]) / 2 - centerSrc[0];
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}
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var dy = (aSrc[1] + cSrc[1]) / 2 - centerSrc[1];
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var centerSrcErrorSquared = dx * dx + dy * dy;
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needsSubdivision = centerSrcErrorSquared > this.errorThresholdSquared_;
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}
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if (needsSubdivision) {
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var ab = [(a[0] + b[0]) / 2, (a[1] + b[1]) / 2];
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var abSrc = this.transformInv_(ab);
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var bc = [(b[0] + c[0]) / 2, (b[1] + c[1]) / 2];
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var bcSrc = this.transformInv_(bc);
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var cd = [(c[0] + d[0]) / 2, (c[1] + d[1]) / 2];
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var cdSrc = this.transformInv_(cd);
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var da = [(d[0] + a[0]) / 2, (d[1] + a[1]) / 2];
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var daSrc = this.transformInv_(da);
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this.addQuadIfValid_(a, ab, center, da,
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aSrc, abSrc, centerSrc, daSrc, maxSubdiv - 1);
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this.addQuadIfValid_(ab, b, bc, center,
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|
abSrc, bSrc, bcSrc, centerSrc, maxSubdiv - 1);
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|
this.addQuadIfValid_(center, bc, c, cd,
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centerSrc, bcSrc, cSrc, cdSrc, maxSubdiv - 1);
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|
this.addQuadIfValid_(da, center, cd, d,
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|
daSrc, centerSrc, cdSrc, dSrc, maxSubdiv - 1);
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return;
|
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}
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}
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return triangulation;
|
|
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|
this.addTriangle_(a, c, d, aSrc, cSrc, dSrc, wrapsX);
|
|
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|
this.addTriangle_(a, b, c, aSrc, bSrc, cSrc, wrapsX);
|
|
|
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|
};
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|
|
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|
|
|
/**
|
|
|
|
|
* @param {ol.reproj.Triangulation} triangulation
|
|
|
|
|
* @param {ol.proj.Projection} sourceProj
|
|
|
|
|
* @return {ol.Extent}
|
|
|
|
|
*/
|
|
|
|
|
ol.reproj.triangulation.getSourceExtent = function(triangulation, sourceProj) {
|
|
|
|
|
ol.reproj.Triangulation.prototype.calculateSourceExtent = function() {
|
|
|
|
|
var extent = ol.extent.createEmpty();
|
|
|
|
|
|
|
|
|
|
if (triangulation.needsShift) {
|
|
|
|
|
if (this.needsShift_) {
|
|
|
|
|
// although only some of the triangles are crossing the dateline,
|
|
|
|
|
// all coordiantes need to be "shifted" to be positive
|
|
|
|
|
// to properly calculate the extent (and then possibly shifted back)
|
|
|
|
|
|
|
|
|
|
var sourceProjExtent = sourceProj.getExtent();
|
|
|
|
|
var sourceProjWidth = ol.extent.getWidth(sourceProjExtent);
|
|
|
|
|
goog.array.forEach(triangulation.triangles, function(triangle, i, arr) {
|
|
|
|
|
goog.array.forEach(this.triangles_, function(triangle, i, arr) {
|
|
|
|
|
var src = triangle.source;
|
|
|
|
|
ol.extent.extendCoordinate(extent,
|
|
|
|
|
[goog.math.modulo(src[0][0], sourceProjWidth), src[0][1]]);
|
|
|
|
|
[goog.math.modulo(src[0][0], this.sourceWorldWidth_), src[0][1]]);
|
|
|
|
|
ol.extent.extendCoordinate(extent,
|
|
|
|
|
[goog.math.modulo(src[1][0], sourceProjWidth), src[1][1]]);
|
|
|
|
|
[goog.math.modulo(src[1][0], this.sourceWorldWidth_), src[1][1]]);
|
|
|
|
|
ol.extent.extendCoordinate(extent,
|
|
|
|
|
[goog.math.modulo(src[2][0], sourceProjWidth), src[2][1]]);
|
|
|
|
|
});
|
|
|
|
|
[goog.math.modulo(src[2][0], this.sourceWorldWidth_), src[2][1]]);
|
|
|
|
|
}, this);
|
|
|
|
|
|
|
|
|
|
var sourceProjExtent = this.sourceProj_.getExtent();
|
|
|
|
|
var right = sourceProjExtent[2];
|
|
|
|
|
if (extent[0] > right) extent[0] -= sourceProjWidth;
|
|
|
|
|
if (extent[2] > right) extent[2] -= sourceProjWidth;
|
|
|
|
|
if (extent[0] > right) extent[0] -= this.sourceWorldWidth_;
|
|
|
|
|
if (extent[2] > right) extent[2] -= this.sourceWorldWidth_;
|
|
|
|
|
} else {
|
|
|
|
|
goog.array.forEach(triangulation.triangles, function(triangle, i, arr) {
|
|
|
|
|
goog.array.forEach(this.triangles_, function(triangle, i, arr) {
|
|
|
|
|
var src = triangle.source;
|
|
|
|
|
ol.extent.extendCoordinate(extent, src[0]);
|
|
|
|
|
ol.extent.extendCoordinate(extent, src[1]);
|
|
|
|
|
@@ -218,3 +246,11 @@ ol.reproj.triangulation.getSourceExtent = function(triangulation, sourceProj) {
|
|
|
|
|
|
|
|
|
|
return extent;
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* @return {Array.<ol.reproj.Triangle>}
|
|
|
|
|
*/
|
|
|
|
|
ol.reproj.Triangulation.prototype.getTriangles = function() {
|
|
|
|
|
return this.triangles_;
|
|
|
|
|
};
|
|
|
|
|
|