1 #ifndef SimTK_SIMMATH_GEO_TRIANGLE_H_ 2 #define SimTK_SIMMATH_GEO_TRIANGLE_H_ 49 class Geo::Triangle_ {
51 typedef Vec<2,P> Vec2P;
52 typedef Vec<3,P> Vec3P;
53 typedef UnitVec<P,1> UnitVec3P;
59 Triangle_(
const Vec3P& v0,
const Vec3P& v1,
const Vec3P& v2)
68 {
setVertices(*vertexPointers[0], *vertexPointers[1], *vertexPointers[2]); }
72 { assert(0<=i && i<3); v[i] = p;
return *
this; }
75 { v[0]=v0; v[1]=v1; v[2]=v2;
return *
this; }
79 { v[0]=vertices[0]; v[1]=vertices[1]; v[2]=vertices[2];
return *
this; }
107 {
return uv[0]*v[0] + uv[1]*v[1] + (1-uv[0]-uv[1])*v[2]; }
112 {
return (v[0]+v[1]+v[2]) / RealP(3); }
117 {
return UnitVec3P((v[1]-v[0]) % (v[2]-v[0])); }
127 {
return ((v[1]-v[0]) % (v[2]-v[0])).norm() / 2; }
131 {
return ((v[1]-v[0]) % (v[2]-v[0])).normSqr() / 4; }
138 "Geo::Triangle_::findNearestPoint(): Not implemented yet.");
144 RealP& distance, Vec2P& uv)
const 146 "Geo::Triangle_::intersectsRay(): Not implemented yet.");
return false;}
158 bool& isCoplanar)
const;
173 #endif // SimTK_SIMMATH_GEO_TRIANGLE_H_ A geometric primitive representing a triangle by its vertices as points in some unspecified frame...
Definition: Geo.h:64
Triangle_ & setVertex(int i, const Vec3P &p)
Change one vertex of this triangle.
Definition: Geo_Triangle.h:71
Triangle_ & setVertices(const Vec3P &v0, const Vec3P &v1, const Vec3P &v2)
Change the vertices of this triangle.
Definition: Geo_Triangle.h:74
Triangle_()
Construct an uninitialized Triangle object; the vertices will be garbage.
Definition: Geo_Triangle.h:57
Sphere_< P > calcBoundingSphere() const
Calculate the smallest bounding sphere enclosing the three vertices of this triangle.
Definition: Geo_Triangle.h:122
const Vec3P & getVertex(int i) const
Access a vertex by index. Order is the same as construction.
Definition: Geo_Triangle.h:83
This is the top-level SimTK namespace into which all SimTK names are placed to avoid collision with o...
Definition: Assembler.h:37
#define SimTK_ASSERT_ALWAYS(cond, msg)
Definition: ExceptionMacros.h:349
Vec3P & operator[](int i)
Get writable access to a vertex by indexing the triangle.
Definition: Geo_Triangle.h:95
Vec3P findPoint(const Vec2P &uv) const
Return a point on the triangle's face given by its (u,v) coordinates.
Definition: Geo_Triangle.h:106
Vec3P findCentroid() const
Return the centroid point on the triangle's face; this is the same as findPoint(1/3,1/3) but faster.
Definition: Geo_Triangle.h:111
bool intersectsRay(const Vec3P &origin, const UnitVec3P &direction, RealP &distance, Vec2P &uv) const
Determine whether a given ray intersects this triangle.
Definition: Geo_Triangle.h:143
bool overlapsTriangle(const Triangle_< P > &other) const
Determine yes/no whether this triangle overlaps another one.
Triangle_(const Vec3P &v0, const Vec3P &v1, const Vec3P &v2)
Construct a triangle from its vertices.
Definition: Geo_Triangle.h:59
Includes internal headers providing declarations for the basic SimTK Core classes, including Simmatrix.
Defines geometric primitive shapes and algorthms.
A 3d line segment primitive represented by its end points in an unspecified frame, and a collection of line segment-related utility methods.
Definition: Geo.h:57
Vec3P & updVertex(int i)
Get writable access to a vertex by index. Order is the same as construction.
Definition: Geo_Triangle.h:88
RealP calcArea() const
Return the area of this triangle.
Definition: Geo_Triangle.h:126
Collects primitive operations involving line segments.
const Vec3P & operator[](int i) const
Access a vertex by indexing the triangle.
Definition: Geo_Triangle.h:93
This is the header file that every Simmath compilation unit should include first. ...
bool intersectsTriangle(const Triangle_< P > &other, LineSeg_< P > &seg, bool &isCoplanar) const
Determine whether this triangle intersects another one, and if so then if they are not coplanar retur...
Triangle_(const Vec3P *vertices)
Construct a triangle from vertices stored in array which is presumed to contain at least three points...
Definition: Geo_Triangle.h:63
Defines primitive computations involving points.
Triangle_ & setVertices(const Vec3P *vertices)
Change the vertices of this triangle, taking the new ones from an array which is presumed to contain ...
Definition: Geo_Triangle.h:78
#define SimTK_INDEXCHECK(ix, ub, where)
Definition: ExceptionMacros.h:145
A geometric primitive representing a sphere by its radius and center point, and a collection of spher...
Definition: Geo.h:56
Vec3P findNearestPoint(const Vec3P &position, Vec2P &uv) const
Given a location in space, find the point of this triangular face that is closest to that location...
Definition: Geo_Triangle.h:136
LineSeg_< P > getEdge(int i) const
Return a LineSeg_ containing an edge of this triangle, with edges numbered in a counterclockwise dire...
Definition: Geo_Triangle.h:100
RealP calcAreaSqr() const
Return the square of the area of this triangle.
Definition: Geo_Triangle.h:130
Triangle_(const Vec3P **vertexPointers)
Construct a triangle from an indirect list of vertices stored in array which is presumed to contain a...
Definition: Geo_Triangle.h:67
#define SimTK_SIMMATH_EXPORT
Definition: SimTKmath/include/simmath/internal/common.h:64
UnitVec3P calcUnitNormal() const
Calculate the unit normal to the triangle face taking the vertices in counterclockwise order...
Definition: Geo_Triangle.h:116
static Sphere_< P > calcBoundingSphere(const Vec3P &p)
Create a tiny bounding sphere around a single point.
Definition: Geo_Point.h:333