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torusknotgenerator.cpp
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67 #ifndef _graphicsproceduraltorusknotgenerator_cpp
68 #define _graphicsproceduraltorusknotgenerator_cpp
69 
70 #include "Graphics/Procedural/Mesh/torusknotgenerator.h"
71 
72 #include "MathTools/mathtools.h"
73 #include "exception.h"
74 
75 namespace Mezzanine
76 {
77  namespace Graphics
78  {
79  namespace Procedural
80  {
81  TorusKnotGenerator::TorusKnotGenerator(const Real PoloidalRadius, const Real ToroidalRadius, const Integer PParam, const Integer QParam, const Whole PoloidalSeg, const Whole ToroidalSeg) :
82  TorusPoloidalRadius(PoloidalRadius),
83  TorusToroidalRadius(ToroidalRadius),
84  PParameter(PParam),
85  QParameter(QParam),
86  NumPoloidalSeg(PoloidalSeg),
87  NumToroidalSeg(ToroidalSeg)
88  { }
89 
91  { }
92 
93  ///////////////////////////////////////////////////////////////////////////////
94  // Utility
95 
97  {
98  Buffer.RebaseOffset();
99  Buffer.EstimateVertexCount( ( this->NumPoloidalSeg * this->PParameter + 1 ) * ( this->NumToroidalSeg + 1 ) );
100  Buffer.EstimateIndexCount( ( this->NumPoloidalSeg * this->PParameter ) * ( this->NumToroidalSeg + 1 ) * 6 );
101 
102  int Offset = 0;
103 
104  for( Whole i = 0 ; i <= this->NumPoloidalSeg * this->PParameter ; i++ )
105  {
106  Real phi = MathTools::GetTwoPi() * i / (Real)this->NumPoloidalSeg;
107  Real x0 = this->TorusPoloidalRadius * ( 2 + cos( this->QParameter * phi / (Real)this->PParameter ) ) * cos( phi ) / 3.f;
108  Real y0 = this->TorusPoloidalRadius * sin( this->QParameter * phi / (Real)this->PParameter ) / 3.f;
109  Real z0 = this->TorusPoloidalRadius * ( 2 + cos( this->QParameter * phi / (Real)this->PParameter ) ) * sin(phi) / 3.f;
110 
111  Real phi1 = MathTools::GetTwoPi() * ( i + 1 ) / (Real)this->NumPoloidalSeg;
112  Real x1 = this->TorusPoloidalRadius * ( 2 + cos( this->QParameter * phi1 / (Real)this->PParameter ) ) * cos( phi1) / 3.f;
113  Real y1 = this->TorusPoloidalRadius * sin( this->QParameter * phi1 / this->PParameter ) / 3.f;
114  Real z1 = this->TorusPoloidalRadius * ( 2 + cos( this->QParameter * phi1 / (Real)this->PParameter ) ) * sin( phi1 ) / 3.f;
115 
116  Vector3 v0( x0, y0, z0 );
117  Vector3 v1( x1, y1, z1 );
118  Vector3 direction( ( v1 - v0 ).GetNormal() );
119 
120  Quaternion KnotRot( direction,Vector3::Unit_Y() );
121 
122  for( Whole j =0 ; j <= this->NumToroidalSeg ; j++ )
123  {
124  Real alpha = MathTools::GetTwoPi() * j / this->NumToroidalSeg;
125  Vector3 vp = ( KnotRot * Vector3( cos(alpha), sin(alpha), 0 ) ) * this->TorusToroidalRadius;
126 
127  this->AddPoint( Buffer, v0 + vp,
128  vp.GetNormal(),
129  Vector2( i / (Real)this->NumPoloidalSeg, j / (Real)this->NumToroidalSeg ) );
130 
131  if( i != this->NumPoloidalSeg * this->PParameter ) {
132  Buffer.AddIndex( Offset + this->NumToroidalSeg + 1 );
133  Buffer.AddIndex( Offset + this->NumToroidalSeg );
134  Buffer.AddIndex( Offset );
135  Buffer.AddIndex( Offset + this->NumToroidalSeg + 1 );
136  Buffer.AddIndex( Offset );
137  Buffer.AddIndex( Offset + 1 );
138  }
139  Offset++;
140  }
141  }
142  }
143 
144  ///////////////////////////////////////////////////////////////////////////////
145  // Configuration
146 
148  {
149  if( PoloidalRadius <= 0.0 )
150  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"Radius for Poloidal ring of a generated torus mesh must be greater than zero.");
151 
152  this->TorusPoloidalRadius = PoloidalRadius;
153  return *this;
154  }
155 
157  {
158  if( ToroidalRadius <= 0.0 )
159  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"Radius for Toroidal ring of a generated torus mesh must be greater than zero.");
160 
161  this->TorusToroidalRadius = ToroidalRadius;
162  return *this;
163  }
164 
166  {
167  if( PParam <= 0 )
168  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"The P Parameter of a generated torus knot mesh must be greater than zero.");
169 
170  this->PParameter = PParam;
171  return *this;
172  }
173 
175  {
176  if( QParam <= 0 )
177  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"The Q Parameter of a generated torus knot mesh must be greater than zero.");
178 
179  this->QParameter = QParam;
180  return *this;
181  }
182 
184  {
185  if( PoloidalSeg < 3 )
186  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"Number of segments for Poloidal ring of generated torus mesh must be greater than two.");
187 
188  this->NumPoloidalSeg = PoloidalSeg;
189  return *this;
190  }
191 
193  {
194  if( ToroidalSeg < 3 )
195  MEZZ_EXCEPTION(ExceptionBase::PARAMETERS_EXCEPTION,"Number of segments for Toroidal ring of generated torus mesh must be greater than two.");
196 
197  this->NumToroidalSeg = ToroidalSeg;
198  return *this;
199  }
200  }//Procedural
201  }//Graphics
202 }//Mezzanine
203 
204 #endif
TorusKnotGenerator(const Real PoloidalRadius, const Real ToroidalRadius, const Integer PParam=2, const Integer QParam=3, const Whole PoloidalSeg=16, const Whole ToroidalSeg=16)
Class constructor.
Vector3 GetNormal() const
This returns the normal for this relative to the origin.
Definition: vector3.cpp:363
TorusKnotGenerator & SetNumToroidalSeg(const Whole ToroidalSeg)
Sets the number of segments along the guiding circle. the number of segments is less than three...
A generator class for a torus knot mesh.
Real TorusPoloidalRadius
The radius of the primary ring of the torus.
A convenience buffer that stores vertices and indices of a mesh to be generated.
#define MEZZ_EXCEPTION(num, desc)
An easy way to throw exceptions with rich information.
Definition: exception.h:3048
void EstimateIndexCount(const Whole IndexCount)
Gives an estimation of the number of indices needed for this triangle buffer.
int Integer
A datatype used to represent any integer close to.
Definition: datatypes.h:154
This implements the exception hiearchy for Mezzanine.
float Real
A Datatype used to represent a real floating point number.
Definition: datatypes.h:141
TorusKnotGenerator & SetQParameter(const Integer QParam)
Sets the q parameter of the knot the paramter is set to 0, a PARAMETERS_EXCEPTION will be thrown...
Whole NumPoloidalSeg
The resolution of the Poloidal ring.
Integer PParameter
Controls how many times the knot is going around the torus.
void EstimateVertexCount(const Whole VertexCount)
Gives an estimation of the number of vertices need for this triangle buffer.
This is used to represent a point on a 2 dimentional area, such as a screen.
Definition: vector2.h:63
static Vector3 Unit_Y()
Gets a vector representing the Y unit of a Vector3.
Definition: vector3.cpp:134
TorusKnotGenerator & SetPParameter(const Integer PParam)
Sets the p parameter of the knot the paramter is set to 0, a PARAMETERS_EXCEPTION will be thrown...
Integer QParameter
Controls how many times the knot goes through the center of the torus.
void AddPoint(TriangleBuffer &Buffer, const Vector3 &Loc, const Vector3 &Norm, const Vector2 &UV) const
Adds a new point to a triangle buffer, using the format defined for that MeshGenerator.
TorusKnotGenerator & SetPoloidalRadius(const Real PoloidalRadius)
Sets the radius of the torus. the radius is set to 0 or less, a PARAMETERS_EXCEPTION will be thrown...
Thrown when parameters are checked at runtime and found invalid.
Definition: exception.h:108
TriangleBuffer & AddIndex(const Integer Index)
Adds an index to the index buffer.
This is used to represent a point in space, or a vector through space.
Definition: vector3.h:77
The bulk of the engine components go in this namspace.
Definition: actor.cpp:56
unsigned long Whole
Whole is an unsigned integer, it will be at least 32bits in size.
Definition: datatypes.h:151
Real TorusToroidalRadius
The radius of the secondary ring of the torus.
virtual void AddToTriangleBuffer(TriangleBuffer &Buffer) const
Adds the vertices and indices as configured in this generator to a triangle buffer.
TorusKnotGenerator & SetToroidalRadius(const Real ToroidalRadius)
Sets the radius of the torus ring. AKA it's thickness. the radius is set to 0 or less, a PARAMETERS_EXCEPTION will be thrown.
Whole NumToroidalSeg
The resolution of the Toroidal ring.
This is used to store information about rotation in 3d space.
Definition: quaternion.h:68
TorusKnotGenerator & SetNumPoloidalSeg(const Whole PoloidalSeg)
Sets the number of segments on the Poloidal ring. the number of segments is less than three...