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vertex.cpp (2253B)

      1 #include "all_includes.hh"
      2 
      3 Vertex::Vertex() {}
      4 
      5 Vertex::Vertex(float _x, float _y, float _z): x(_x), y(_y), z(_z) {
      6 	/* if (!(std::isfinite(x) && std::isfinite(y) && std::isfinite(z)))
      7 		std::cerr << "Attempted to create vertex with bad data !" << std::endl; */
      8 }
      9 
     10 float Vertex::norm() const { return std::sqrt(x*x + y*y + z*z); }
     11 
     12 Vertex Vertex::projectOn(Vertex v) const {
     13 	// http://www.developpez.net/forums/d202580/applications/developpement-2d-3d-jeux/contribuez/faq-mat-quat-ajout-calculs-vectoriels/
     14 	float scalaire = (this->x)*(v.x) + (this->y)*(v.y) + (this->z)*(v.z);
     15 	float norme = v.norm();
     16 	return Vertex(v.x, v.y, v.z) * scalaire / (norme * norme);
     17 }
     18 
     19 Vertex Vertex::setNorm(float n) const {
     20 	return (*this * n / norm());
     21 }
     22 
     23 Vertex Vertex::normalize() const {
     24 	return (*this / norm());
     25 }
     26 
     27 float Vertex::cosAngle(Vertex v) const {
     28 	// http://www.developpez.net/forums/d202580/applications/developpement-2d-3d-jeux/contribuez/faq-mat-quat-ajout-calculs-vectoriels/
     29 	return ((this->x*v.x + this->y*v.y + this->z*v.z) / (norm()*v.norm()));
     30 }
     31 
     32 float Vertex::angle(Vertex v) const {
     33 	return std::acos(cosAngle(v));
     34 }
     35 
     36 std::ostream& operator<<(std::ostream& os, const Vertex& v) {
     37 	return os << "(" << v.x << "," << v.y << "," << v.z << ")";
     38 }
     39 
     40 
     41 Vertex operator+(const Vertex& u, const Vertex& v) {
     42 	return Vertex(u.x + v.x, u.y + v.y, u.z + v.z);
     43 }
     44 
     45 Vertex operator-(const Vertex& u, const Vertex& v) {
     46 	return Vertex(u.x - v.x, u.y - v.y, u.z - v.z);
     47 }
     48 
     49 Vertex operator-(const Vertex& v) {
     50 	return Vertex(-v.x, -v.y, -v.z);
     51 }
     52 
     53 Vertex operator*(const Vertex& v, const float n) {
     54 	return Vertex(v.x * n, v.y * n, v.z * n);
     55 }
     56 
     57 Vertex operator*(const Vertex& u, const Vertex& v) {
     58 	return Vertex(
     59 		(u.y * v.z) - (u.z * v.y),
     60 		(u.z * v.x) - (u.x * v.z),
     61 		(u.x * v.y) - (u.y * v.x)
     62 	);
     63 }
     64 
     65 Vertex operator/(const Vertex& v, const float f) {
     66 	return Vertex(v.x / f, v.y / f, v.z / f);
     67 }
     68 
     69 Vertex Vertex::fromSpherical(float r, float xAngle, float yAngle) {
     70 	// http://electron9.phys.utk.edu/vectors/3dcoordinates.htm
     71 	return Vertex(
     72 		r * std::sin(xAngle / 180.f * Angle::Pi) * std::cos(yAngle / 180.f * Angle::Pi),
     73 		r * std::sin(xAngle / 180.f * Angle::Pi) * std::sin(yAngle / 180.f * Angle::Pi),
     74 		r * std::cos(xAngle / 180.f * Angle::Pi)
     75 	);
     76 }