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+/*
+ * ***** BEGIN GPL LICENSE BLOCK *****
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ *
+ * The Original Code is Copyright (C) 2010 Blender Foundation.
+ * All rights reserved.
+ *
+ * The Original Code is: all of this file.
+ *
+ * Contributor(s): none yet.
+ *
+ * ***** END GPL LICENSE BLOCK *****
+ */
+
+#ifndef __GEOMUTILS_H__
+#define __GEOMUTILS_H__
+
+/** \file blender/freestyle/intern/geometry/GeomUtils.h
+ * \ingroup freestyle
+ * \brief Various tools for geometry
+ * \author Stephane Grabli
+ * \date 12/04/2002
+ */
+
+#include <vector>
+
+#include "Geom.h"
+
+#include "../system/FreestyleConfig.h"
+
+using namespace std;
+using namespace Geometry;
+
+namespace GeomUtils {
+
+//
+// Templated procedures
+//
+/////////////////////////////////////////////////////////////////////////////
+
+/*! Computes the distance from a point P to a segment AB */
+template<class T>
+real distPointSegment( const T& P, const T& A , const T& B)
+{
+ T AB, AP, BP;
+ AB = B - A;
+ AP = P - A;
+ BP = P - B;
+
+ real c1(AB * AP);
+ if (c1 <= 0)
+ return AP.norm();
+
+ real c2(AB * AB);
+ if (c2 <= c1)
+ return BP.norm();
+
+ real b = c1 / c2;
+ T Pb, PPb;
+ Pb = A + b * AB;
+ PPb = P - Pb;
+
+ return PPb.norm();
+}
+
+//
+// Non-templated procedures
+//
+/////////////////////////////////////////////////////////////////////////////
+typedef enum {
+ DONT_INTERSECT,
+ DO_INTERSECT,
+ COLINEAR,
+ COINCIDENT,
+} intersection_test;
+
+LIB_GEOMETRY_EXPORT
+intersection_test intersect2dSeg2dSeg(const Vec2r& p1, const Vec2r& p2, // first segment
+ const Vec2r& p3, const Vec2r& p4, // second segment
+ Vec2r& res); // found intersection point
+
+LIB_GEOMETRY_EXPORT
+intersection_test intersect2dLine2dLine(const Vec2r& p1, const Vec2r& p2, // first segment
+ const Vec2r& p3, const Vec2r& p4, // second segment
+ Vec2r& res); // found intersection point
+
+LIB_GEOMETRY_EXPORT
+intersection_test intersect2dSeg2dSegParametric(const Vec2r& p1, const Vec2r& p2, // first segment
+ const Vec2r& p3, const Vec2r& p4, // second segment
+ real& t, // I = P1 + t * P1P2)
+ real& u, // I = P3 + u * P3P4
+ real epsilon = M_EPSILON);
+
+/*! check whether a 2D segment intersect a 2D region or not */
+LIB_GEOMETRY_EXPORT
+bool intersect2dSeg2dArea(const Vec2r& min, const Vec2r& max, const Vec2r& A, const Vec2r& B);
+
+/*! check whether a 2D segment is included in a 2D region or not */
+LIB_GEOMETRY_EXPORT
+bool include2dSeg2dArea(const Vec2r& min, const Vec2r& max, const Vec2r& A, const Vec2r& B);
+
+/*! Box-triangle overlap test, adapted from Tomas Akenine-Möller code */
+LIB_GEOMETRY_EXPORT
+bool overlapTriangleBox(Vec3r& boxcenter, Vec3r& boxhalfsize, Vec3r triverts[3]);
+
+/*! Fast, Minimum Storage Ray-Triangle Intersection, adapted from Tomas Möller and Ben Trumbore code. */
+LIB_GEOMETRY_EXPORT
+bool intersectRayTriangle(const Vec3r& orig, const Vec3r& dir, const Vec3r& v0, const Vec3r& v1, const Vec3r& v2,
+ real& t, // I = orig + t * dir
+ real& u, real& v, // I = (1 - u - v) * v0 + u * v1 + v * v2
+ const real epsilon = M_EPSILON); // the epsilon to use
+
+/*! Intersection between plane and ray adapted from Graphics Gems, Didier Badouel */
+LIB_GEOMETRY_EXPORT
+intersection_test intersectRayPlane(const Vec3r& orig, const Vec3r& dir, // ray origin and direction
+ // plane's normal and offset (plane = { P / P.N + d = 0 })
+ const Vec3r& norm, const real d,
+ real& t, // I = orig + t * dir
+ const real epsilon = M_EPSILON); // the epsilon to use
+
+/*! Intersection Ray-Bounding box (axis aligned).
+ * Adapted from Williams et al, "An Efficient Robust Ray-Box Intersection Algorithm", JGT 10:1 (2005), pp. 49-54.
+ */
+LIB_GEOMETRY_EXPORT
+bool intersectRayBBox(const Vec3r& orig, const Vec3r& dir, // ray origin and direction
+ const Vec3r& boxMin, const Vec3r& boxMax, // the bbox
+ // the interval in which at least on of the intersections must happen
+ real t0, real t1,
+ real& tmin, // Imin = orig + tmin * dir is the first intersection
+ real& tmax, // Imax = orig + tmax * dir is the second intersection
+ real epsilon = M_EPSILON); // the epsilon to use
+
+/*! Checks whether 3D point P lies inside or outside of the triangle ABC */
+LIB_GEOMETRY_EXPORT
+bool includePointTriangle(const Vec3r& P, const Vec3r& A, const Vec3r& B, const Vec3r& C);
+
+LIB_GEOMETRY_EXPORT
+void transformVertex(const Vec3r& vert, const Matrix44r& matrix, Vec3r& res);
+
+LIB_GEOMETRY_EXPORT
+void transformVertices(const vector<Vec3r>& vertices, const Matrix44r& trans, vector<Vec3r>& res);
+
+LIB_GEOMETRY_EXPORT
+Vec3r rotateVector(const Matrix44r& mat, const Vec3r& v);
+
+//
+// Coordinates systems changing procedures
+//
+/////////////////////////////////////////////////////////////////////////////
+
+/*! From world to image
+ * p
+ * point's coordinates expressed in world coordinates system
+ * q
+ * vector in which the result will be stored
+ * model_view_matrix
+ * The model view matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ * projection_matrix
+ * The projection matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ * viewport
+ * The viewport: x,y coordinates followed by width and height (OpenGL like viewport)
+ */
+LIB_GEOMETRY_EXPORT
+void fromWorldToImage(const Vec3r& p, Vec3r& q, const real model_view_matrix[4][4], const real projection_matrix[4][4],
+ const int viewport[4]);
+
+/*! From world to image
+ * p
+ * point's coordinates expressed in world coordinates system
+ * q
+ * vector in which the result will be stored
+ * transform
+ * The transformation matrix (gathering model view and projection),
+ * expressed in line major order (OpenGL matrices are column major ordered)
+ * viewport
+ * The viewport: x,y coordinates followed by width and height (OpenGL like viewport)
+ */
+LIB_GEOMETRY_EXPORT
+void fromWorldToImage(const Vec3r& p, Vec3r& q, const real transform[4][4], const int viewport[4]);
+
+/*! Projects from world coordinates to camera coordinates
+ * Returns the point's coordinates expressed in the camera's
+ * coordinates system.
+ * p
+ * point's coordinates expressed in world coordinates system
+ * q
+ * vector in which the result will be stored
+ * model_view_matrix
+ * The model view matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ */
+LIB_GEOMETRY_EXPORT
+void fromWorldToCamera(const Vec3r& p, Vec3r& q, const real model_view_matrix[4][4]);
+
+/*! Projects from World Coordinates to retina coordinates
+ * Returns the point's coordinates expressed in Retina system.
+ * p
+ * point's coordinates expressed in camera system
+ * q
+ * vector in which the result will be stored
+ * projection_matrix
+ * The projection matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ */
+LIB_GEOMETRY_EXPORT
+void fromCameraToRetina(const Vec3r& p, Vec3r& q, const real projection_matrix[4][4]);
+
+/*! From retina to image.
+ * Returns the coordinates expressed in Image coorinates system.
+ * p
+ * point's coordinates expressed in retina system
+ * q
+ * vector in which the result will be stored
+ * viewport
+ * The viewport: x,y coordinates followed by width and height (OpenGL like viewport).
+ */
+LIB_GEOMETRY_EXPORT
+void fromRetinaToImage(const Vec3r& p, Vec3r& q, const int viewport[4]);
+
+/*! From image to retina
+ * p
+ * point's coordinates expressed in image system
+ * q
+ * vector in which the result will be stored
+ * viewport
+ * The viewport: x,y coordinates followed by width and height (OpenGL like viewport).
+ */
+LIB_GEOMETRY_EXPORT
+void fromImageToRetina(const Vec3r& p, Vec3r& q, const int viewport[4]);
+
+/*! computes the coordinates of q in the camera coordinates system,
+ * using the known z coordinates of the 3D point.
+ * That means that this method does not inverse any matrices,
+ * it only computes X and Y from x,y and Z)
+ * p
+ * point's coordinates expressed in retina system
+ * q
+ * vector in which the result will be stored
+ * projection_matrix
+ * The projection matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ */
+LIB_GEOMETRY_EXPORT
+void fromRetinaToCamera(const Vec3r& p, Vec3r& q, real z, const real projection_matrix[4][4]);
+
+/*! Projects from camera coordinates to world coordinates
+ * Returns the point's coordinates expressed in the world's
+ * coordinates system.
+ * p
+ * point's coordinates expressed in the camera coordinates system
+ * q
+ * vector in which the result will be stored
+ * model_view_matrix
+ * The model view matrix expressed in line major order (OpenGL
+ * matrices are column major ordered)
+ */
+LIB_GEOMETRY_EXPORT
+void fromCameraToWorld(const Vec3r& p, Vec3r& q, const real model_view_matrix[4][4]);
+
+} // end of namespace GeomUtils
+
+#endif // __GEOMUTILS_H__