!function(e){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=e();else if("function"==typeof define&&define.amd)define([],e);else{var f;"undefined"!=typeof window?f=window:"undefined"!=typeof global?f=global:"undefined"!=typeof self&&(f=self),f.decomp=e()}}(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o=0 && s<=1 && t>=0 && t<=1); } /** * Get the area of a triangle spanned by the three given points. Note that the area will be negative if the points are not given in counter-clockwise order. * @static * @method area * @param {Array} a * @param {Array} b * @param {Array} c * @return {Number} */ function triangleArea(a,b,c){ return (((b[0] - a[0])*(c[1] - a[1]))-((c[0] - a[0])*(b[1] - a[1]))); } function isLeft(a,b,c){ return triangleArea(a,b,c) > 0; } function isLeftOn(a,b,c) { return triangleArea(a, b, c) >= 0; } function isRight(a,b,c) { return triangleArea(a, b, c) < 0; } function isRightOn(a,b,c) { return triangleArea(a, b, c) <= 0; } var tmpPoint1 = [], tmpPoint2 = []; /** * Check if three points are collinear * @method collinear * @param {Array} a * @param {Array} b * @param {Array} c * @param {Number} [thresholdAngle=0] Threshold angle to use when comparing the vectors. The function will return true if the angle between the resulting vectors is less than this value. Use zero for max precision. * @return {Boolean} */ function collinear(a,b,c,thresholdAngle) { if(!thresholdAngle){ return triangleArea(a, b, c) === 0; } else { var ab = tmpPoint1, bc = tmpPoint2; ab[0] = b[0]-a[0]; ab[1] = b[1]-a[1]; bc[0] = c[0]-b[0]; bc[1] = c[1]-b[1]; var dot = ab[0]*bc[0] + ab[1]*bc[1], magA = Math.sqrt(ab[0]*ab[0] + ab[1]*ab[1]), magB = Math.sqrt(bc[0]*bc[0] + bc[1]*bc[1]), angle = Math.acos(dot/(magA*magB)); return angle < thresholdAngle; } } function sqdist(a,b){ var dx = b[0] - a[0]; var dy = b[1] - a[1]; return dx * dx + dy * dy; } /** * Get a vertex at position i. It does not matter if i is out of bounds, this function will just cycle. * @method at * @param {Number} i * @return {Array} */ function polygonAt(polygon, i){ var s = polygon.length; return polygon[i < 0 ? i % s + s : i % s]; } /** * Clear the polygon data * @method clear * @return {Array} */ function polygonClear(polygon){ polygon.length = 0; } /** * Append points "from" to "to"-1 from an other polygon "poly" onto this one. * @method append * @param {Polygon} poly The polygon to get points from. * @param {Number} from The vertex index in "poly". * @param {Number} to The end vertex index in "poly". Note that this vertex is NOT included when appending. * @return {Array} */ function polygonAppend(polygon, poly, from, to){ for(var i=from; i v[br][0])) { br = i; } } // reverse poly if clockwise if (!isLeft(polygonAt(polygon, br - 1), polygonAt(polygon, br), polygonAt(polygon, br + 1))) { polygonReverse(polygon); return true; } else { return false; } } /** * Reverse the vertices in the polygon * @method reverse */ function polygonReverse(polygon){ var tmp = []; var N = polygon.length; for(var i=0; i!==N; i++){ tmp.push(polygon.pop()); } for(var i=0; i!==N; i++){ polygon[i] = tmp[i]; } } /** * Check if a point in the polygon is a reflex point * @method isReflex * @param {Number} i * @return {Boolean} */ function polygonIsReflex(polygon, i){ return isRight(polygonAt(polygon, i - 1), polygonAt(polygon, i), polygonAt(polygon, i + 1)); } var tmpLine1=[], tmpLine2=[]; /** * Check if two vertices in the polygon can see each other * @method canSee * @param {Number} a Vertex index 1 * @param {Number} b Vertex index 2 * @return {Boolean} */ function polygonCanSee(polygon, a,b) { var p, dist, l1=tmpLine1, l2=tmpLine2; if (isLeftOn(polygonAt(polygon, a + 1), polygonAt(polygon, a), polygonAt(polygon, b)) && isRightOn(polygonAt(polygon, a - 1), polygonAt(polygon, a), polygonAt(polygon, b))) { return false; } dist = sqdist(polygonAt(polygon, a), polygonAt(polygon, b)); for (var i = 0; i !== polygon.length; ++i) { // for each edge if ((i + 1) % polygon.length === a || i === a){ // ignore incident edges continue; } if (isLeftOn(polygonAt(polygon, a), polygonAt(polygon, b), polygonAt(polygon, i + 1)) && isRightOn(polygonAt(polygon, a), polygonAt(polygon, b), polygonAt(polygon, i))) { // if diag intersects an edge l1[0] = polygonAt(polygon, a); l1[1] = polygonAt(polygon, b); l2[0] = polygonAt(polygon, i); l2[1] = polygonAt(polygon, i + 1); p = lineInt(l1,l2); if (sqdist(polygonAt(polygon, a), p) < dist) { // if edge is blocking visibility to b return false; } } } return true; } /** * Check if two vertices in the polygon can see each other * @method canSee2 * @param {Number} a Vertex index 1 * @param {Number} b Vertex index 2 * @return {Boolean} */ function polygonCanSee2(polygon, a,b) { // for each edge for (var i = 0; i !== polygon.length; ++i) { // ignore incident edges if (i === a || i === b || (i + 1) % polygon.length === a || (i + 1) % polygon.length === b){ continue; } if( lineSegmentsIntersect(polygonAt(polygon, a), polygonAt(polygon, b), polygonAt(polygon, i), polygonAt(polygon, i+1)) ){ return false; } } return true; } /** * Copy the polygon from vertex i to vertex j. * @method copy * @param {Number} i * @param {Number} j * @param {Polygon} [targetPoly] Optional target polygon to save in. * @return {Polygon} The resulting copy. */ function polygonCopy(polygon, i,j,targetPoly){ var p = targetPoly || []; polygonClear(p); if (i < j) { // Insert all vertices from i to j for(var k=i; k<=j; k++){ p.push(polygon[k]); } } else { // Insert vertices 0 to j for(var k=0; k<=j; k++){ p.push(polygon[k]); } // Insert vertices i to end for(var k=i; k 0){ return polygonSlice(polygon, edges); } else { return [polygon]; } } /** * Slices the polygon given one or more cut edges. If given one, this function will return two polygons (false on failure). If many, an array of polygons. * @method slice * @param {Array} cutEdges A list of edges, as returned by .getCutEdges() * @return {Array} */ function polygonSlice(polygon, cutEdges){ if(cutEdges.length === 0){ return [polygon]; } if(cutEdges instanceof Array && cutEdges.length && cutEdges[0] instanceof Array && cutEdges[0].length===2 && cutEdges[0][0] instanceof Array){ var polys = [polygon]; for(var i=0; i maxlevel){ console.warn("quickDecomp: max level ("+maxlevel+") reached."); return result; } for (var i = 0; i < polygon.length; ++i) { if (polygonIsReflex(poly, i)) { reflexVertices.push(poly[i]); upperDist = lowerDist = Number.MAX_VALUE; for (var j = 0; j < polygon.length; ++j) { if (isLeft(polygonAt(poly, i - 1), polygonAt(poly, i), polygonAt(poly, j)) && isRightOn(polygonAt(poly, i - 1), polygonAt(poly, i), polygonAt(poly, j - 1))) { // if line intersects with an edge p = getIntersectionPoint(polygonAt(poly, i - 1), polygonAt(poly, i), polygonAt(poly, j), polygonAt(poly, j - 1)); // find the point of intersection if (isRight(polygonAt(poly, i + 1), polygonAt(poly, i), p)) { // make sure it's inside the poly d = sqdist(poly[i], p); if (d < lowerDist) { // keep only the closest intersection lowerDist = d; lowerInt = p; lowerIndex = j; } } } if (isLeft(polygonAt(poly, i + 1), polygonAt(poly, i), polygonAt(poly, j + 1)) && isRightOn(polygonAt(poly, i + 1), polygonAt(poly, i), polygonAt(poly, j))) { p = getIntersectionPoint(polygonAt(poly, i + 1), polygonAt(poly, i), polygonAt(poly, j), polygonAt(poly, j + 1)); if (isLeft(polygonAt(poly, i - 1), polygonAt(poly, i), p)) { d = sqdist(poly[i], p); if (d < upperDist) { upperDist = d; upperInt = p; upperIndex = j; } } } } // if there are no vertices to connect to, choose a point in the middle if (lowerIndex === (upperIndex + 1) % polygon.length) { //console.log("Case 1: Vertex("+i+"), lowerIndex("+lowerIndex+"), upperIndex("+upperIndex+"), poly.size("+polygon.length+")"); p[0] = (lowerInt[0] + upperInt[0]) / 2; p[1] = (lowerInt[1] + upperInt[1]) / 2; steinerPoints.push(p); if (i < upperIndex) { //lowerPoly.insert(lowerPoly.end(), poly.begin() + i, poly.begin() + upperIndex + 1); polygonAppend(lowerPoly, poly, i, upperIndex+1); lowerPoly.push(p); upperPoly.push(p); if (lowerIndex !== 0){ //upperPoly.insert(upperPoly.end(), poly.begin() + lowerIndex, poly.end()); polygonAppend(upperPoly, poly,lowerIndex,poly.length); } //upperPoly.insert(upperPoly.end(), poly.begin(), poly.begin() + i + 1); polygonAppend(upperPoly, poly,0,i+1); } else { if (i !== 0){ //lowerPoly.insert(lowerPoly.end(), poly.begin() + i, poly.end()); polygonAppend(lowerPoly, poly,i,poly.length); } //lowerPoly.insert(lowerPoly.end(), poly.begin(), poly.begin() + upperIndex + 1); polygonAppend(lowerPoly, poly,0,upperIndex+1); lowerPoly.push(p); upperPoly.push(p); //upperPoly.insert(upperPoly.end(), poly.begin() + lowerIndex, poly.begin() + i + 1); polygonAppend(upperPoly, poly,lowerIndex,i+1); } } else { // connect to the closest point within the triangle //console.log("Case 2: Vertex("+i+"), closestIndex("+closestIndex+"), poly.size("+polygon.length+")\n"); if (lowerIndex > upperIndex) { upperIndex += polygon.length; } closestDist = Number.MAX_VALUE; if(upperIndex < lowerIndex){ return result; } for (var j = lowerIndex; j <= upperIndex; ++j) { if ( isLeftOn(polygonAt(poly, i - 1), polygonAt(poly, i), polygonAt(poly, j)) && isRightOn(polygonAt(poly, i + 1), polygonAt(poly, i), polygonAt(poly, j)) ) { d = sqdist(polygonAt(poly, i), polygonAt(poly, j)); if (d < closestDist && polygonCanSee2(poly, i, j)) { closestDist = d; closestIndex = j % polygon.length; } } } if (i < closestIndex) { polygonAppend(lowerPoly, poly,i,closestIndex+1); if (closestIndex !== 0){ polygonAppend(upperPoly, poly,closestIndex,v.length); } polygonAppend(upperPoly, poly,0,i+1); } else { if (i !== 0){ polygonAppend(lowerPoly, poly,i,v.length); } polygonAppend(lowerPoly, poly,0,closestIndex+1); polygonAppend(upperPoly, poly,closestIndex,i+1); } } // solve smallest poly first if (lowerPoly.length < upperPoly.length) { polygonQuickDecomp(lowerPoly,result,reflexVertices,steinerPoints,delta,maxlevel,level); polygonQuickDecomp(upperPoly,result,reflexVertices,steinerPoints,delta,maxlevel,level); } else { polygonQuickDecomp(upperPoly,result,reflexVertices,steinerPoints,delta,maxlevel,level); polygonQuickDecomp(lowerPoly,result,reflexVertices,steinerPoints,delta,maxlevel,level); } return result; } } result.push(polygon); return result; } /** * Remove collinear points in the polygon. * @method removeCollinearPoints * @param {Number} [precision] The threshold angle to use when determining whether two edges are collinear. Use zero for finest precision. * @return {Number} The number of points removed */ function polygonRemoveCollinearPoints(polygon, precision){ var num = 0; for(var i=polygon.length-1; polygon.length>3 && i>=0; --i){ if(collinear(polygonAt(polygon, i-1),polygonAt(polygon, i),polygonAt(polygon, i+1),precision)){ // Remove the middle point polygon.splice(i%polygon.length,1); num++; } } return num; } /** * Remove duplicate points in the polygon. * @method removeDuplicatePoints * @param {Number} [precision] The threshold to use when determining whether two points are the same. Use zero for best precision. */ function polygonRemoveDuplicatePoints(polygon, precision){ for(var i=polygon.length-1; i>=1; --i){ var pi = polygon[i]; for(var j=i-1; j>=0; --j){ if(points_eq(pi, polygon[j], precision)){ polygon.splice(i,1); continue; } } } } /** * Check if two scalars are equal * @static * @method eq * @param {Number} a * @param {Number} b * @param {Number} [precision] * @return {Boolean} */ function scalar_eq(a,b,precision){ precision = precision || 0; return Math.abs(a-b) <= precision; } /** * Check if two points are equal * @static * @method points_eq * @param {Array} a * @param {Array} b * @param {Number} [precision] * @return {Boolean} */ function points_eq(a,b,precision){ return scalar_eq(a[0],b[0],precision) && scalar_eq(a[1],b[1],precision); } },{}]},{},[1]) (1) });