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/*
* Copyright 2012 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "TriangleUtilities.h"
// http://www.blackpawn.com/texts/pointinpoly/default.html
bool pointInTriangle(const Triangle& triangle, const _Point& pt) {
// Compute vectors
_Vector v0 = triangle[2] - triangle[0];
_Vector v1 = triangle[1] - triangle[0];
_Vector v2 = pt - triangle[0];
// Compute dot products
double dot00 = v0.dot(v0);
double dot01 = v0.dot(v1);
double dot02 = v0.dot(v2);
double dot11 = v1.dot(v1);
double dot12 = v1.dot(v2);
// Compute barycentric coordinates
double invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
double u = (dot11 * dot02 - dot01 * dot12) * invDenom;
double v = (dot00 * dot12 - dot01 * dot02) * invDenom;
// Check if point is in triangle
return (u >= 0) && (v >= 0) && (u + v < 1);
}