Triangle2D Class Reference

Represents a 2D triangle with support for UV mapping, depth, and intersection testing. More...

#include <Triangle2D.h>

Collaboration diagram for Triangle2D:

Public Member Functions
	Triangle2D ()
	Default constructor.
	Triangle2D (const Vector2D &p1, const Vector2D &p2, const Vector2D &p3)
	Constructs a triangle from 2D vertices.
	Triangle2D (const Quaternion &lookDirection, Transform *camT, Triangle3D *t, Material *material)
	Constructs a triangle from 3D data with a camera transformation and material.
	Triangle2D (Triangle3D *t)
	Constructs a triangle from a 3D triangle.
Vector2D	GetP1 ()
	Gets the first vertex as a 2D point.
Vector2D	GetP2 ()
	Gets the second vertex as a 2D point.
Vector2D	GetP3 ()
	Gets the third vertex as a 2D point.
Material *	GetMaterial ()
	Gets the material assigned to the triangle.
bool	DidIntersect (const float &x, const float &y, float &u, float &v, float &w)
	Checks if a point intersects the triangle using barycentric coordinates.
bool	DidIntersect (BoundingBox2D *bbox)
	Checks if the triangle intersects a bounding box.
bool	DidIntersectSAT (BoundingBox2D *bbox)
	Checks if the triangle intersects a bounding box using the Separating Axis Theorem (SAT).
String	ToString ()
	Converts the triangle's data to a string representation.

Public Attributes
float	denominator = 0.0f
	Precomputed denominator for barycentric coordinate calculations.
float	p1X
float	p1Y
float	p2X
float	p2Y
float	p3X
float	p3Y
	Coordinates of the triangle's vertices.
float	v0X
float	v0Y
float	v1X
float	v1Y
float	v2X
float	v2Y
	Edge vectors for barycentric coordinate calculations.
Vector2D	min
Vector2D	max
	Minimum and maximum bounds of the triangle.
Vector3D *	normal
	Normal vector of the triangle (if available).
Material *	material
	Material assigned to the triangle.
Vector3D *	t3p1
	Pointer to the first vertex in 3D space.
Vector3D *	t3p2
	Pointer to the second vertex in 3D space.
Vector3D *	t3p3
	Pointer to the third vertex in 3D space.
const Vector2D *	p1UV
	UV coordinates of the first vertex.
const Vector2D *	p2UV
	UV coordinates of the second vertex.
const Vector2D *	p3UV
	UV coordinates of the third vertex.
bool	hasUV = false
	Indicates whether the triangle has UV mapping.
float	averageDepth = 0.0f
	Average depth of the triangle for rendering.

Detailed Description

Represents a 2D triangle with support for UV mapping, depth, and intersection testing.

Definition at line 25 of file Triangle2D.h.

Constructor & Destructor Documentation

Triangle2D() [1/4]

Triangle2D

(

)

Default constructor.

Definition at line 3 of file Triangle2D.cpp.

Triangle2D() [2/4]

Triangle2D	(	const Vector2D &	p1,
		const Vector2D &	p2,
		const Vector2D &	p3
	)

Constructs a triangle from 2D vertices.

Parameters

p1	First vertex.
p2	Second vertex.
p3	Third vertex.

Definition at line 5 of file Triangle2D.cpp.

References denominator, p1X, p1Y, p2X, p2Y, p3X, p3Y, v0X, v0Y, v1X, v1Y, Vector2D::X, and Vector2D::Y.

Triangle2D() [3/4]

Triangle2D	(	const Quaternion &	lookDirection,
		Transform *	camT,
		Triangle3D *	t,
		Material *	material
	)

Constructs a triangle from 3D data with a camera transformation and material.

Parameters

lookDirection	Camera look direction as a quaternion.
camT	Camera transform.
t	Source 3D triangle.
material	Material to assign to the triangle.

Definition at line 21 of file Triangle2D.cpp.

References averageDepth, denominator, Transform::GetPosition(), Transform::GetRotation(), Transform::GetScale(), hasUV, Triangle3D::hasUV, material, max, min, Quaternion::Multiply(), normal, Triangle3D::Normal(), Triangle3D::p1, p1UV, Triangle3D::p1UV, p1X, p1Y, Triangle3D::p2, p2UV, Triangle3D::p2UV, p2X, p2Y, Triangle3D::p3, p3UV, Triangle3D::p3UV, p3X, p3Y, t3p1, t3p2, t3p3, Quaternion::UnrotateVector(), v0X, v0Y, v1X, v1Y, Vector2D::X, Vector3D::X, Vector2D::Y, Vector3D::Y, and Vector3D::Z.

Triangle2D() [4/4]

Triangle2D

(

Triangle3D *

t

)

Constructs a triangle from a 3D triangle.

Parameters

t	Source 3D triangle.

Definition at line 79 of file Triangle2D.cpp.

References averageDepth, denominator, max, min, Triangle3D::p1, p1X, p1Y, Triangle3D::p2, p2X, p2Y, Triangle3D::p3, p3X, p3Y, t3p1, t3p2, t3p3, v0X, v0Y, v1X, v1Y, Vector2D::X, Vector3D::X, Vector2D::Y, Vector3D::Y, and Vector3D::Z.

Member Function Documentation

DidIntersect() [1/2]

bool DidIntersect

(

BoundingBox2D *

bbox

)

Checks if the triangle intersects a bounding box.

Parameters

bbox	Bounding box to test against.

Returns

True if the triangle intersects the bounding box, otherwise false.

Definition at line 150 of file Triangle2D.cpp.

References max, min, and BoundingBox2D::Overlaps().

DidIntersect() [2/2]

bool DidIntersect	(	const float &	x,
		const float &	y,
		float &	u,
		float &	v,
		float &	w
	)

Checks if a point intersects the triangle using barycentric coordinates.

Parameters

x	X-coordinate of the point.
y	Y-coordinate of the point.
u	Output barycentric coordinate u.
v	Output barycentric coordinate v.
w	Output barycentric coordinate w.

Returns

True if the point intersects the triangle, otherwise false.

Definition at line 136 of file Triangle2D.cpp.

References denominator, p1X, p1Y, v0X, v0Y, v1X, and v1Y.

Referenced by Node::Insert().

DidIntersectSAT()

bool DidIntersectSAT

(

BoundingBox2D *

bbox

)

Checks if the triangle intersects a bounding box using the Separating Axis Theorem (SAT).

Parameters

bbox	Bounding box to test against.

Returns

True if the triangle intersects the bounding box, otherwise false.

Definition at line 155 of file Triangle2D.cpp.

References BoundingBox2D::GetMaximum(), BoundingBox2D::GetMinimum(), Mathematics::Max(), Mathematics::Min(), p1X, p1Y, p2X, p2Y, p3X, p3Y, Vector2D::X, and Vector2D::Y.

GetMaterial()

Material * GetMaterial

(

)

Gets the material assigned to the triangle.

Returns

Pointer to the material.

Definition at line 132 of file Triangle2D.cpp.

References material.

Referenced by Rasterizer::CheckRasterPixel(), and Rasterizer::CheckRasterPixelAccel().

GetP1()

Vector2D GetP1

(

)

Gets the first vertex as a 2D point.

Returns

First vertex.

Definition at line 120 of file Triangle2D.cpp.

References p1X, and p1Y.

GetP2()

Vector2D GetP2

(

)

Gets the second vertex as a 2D point.

Returns

Second vertex.

Definition at line 124 of file Triangle2D.cpp.

References p2X, and p2Y.

GetP3()

Vector2D GetP3

(

)

Gets the third vertex as a 2D point.

Returns

Third vertex.

Definition at line 128 of file Triangle2D.cpp.

References p3X, and p3Y.

ToString()

String ToString

(

)

Converts the triangle's data to a string representation.

Returns

String representation of the triangle.

Definition at line 195 of file Triangle2D.cpp.

References p1X, p1Y, p2X, p2Y, p3X, p3Y, and Vector2D::ToString().

Member Data Documentation

averageDepth

float averageDepth = 0.0f

Average depth of the triangle for rendering.

Definition at line 44 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), Triangle2D(), and Triangle2D().

denominator

float denominator = 0.0f

Precomputed denominator for barycentric coordinate calculations.

Definition at line 27 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), Triangle2D(), Triangle2D(), and Triangle2D().

hasUV

bool hasUV = false

Indicates whether the triangle has UV mapping.

Definition at line 43 of file Triangle2D.h.

Referenced by Triangle2D().

material

Material* material

Material assigned to the triangle.

Definition at line 33 of file Triangle2D.h.

Referenced by GetMaterial(), and Triangle2D().

max

Vector2D max

Minimum and maximum bounds of the triangle.

Definition at line 30 of file Triangle2D.h.

Referenced by DidIntersect(), Triangle2D(), and Triangle2D().

min

Vector2D min

Definition at line 30 of file Triangle2D.h.

Referenced by DidIntersect(), Triangle2D(), and Triangle2D().

normal

Vector3D* normal

Normal vector of the triangle (if available).

Definition at line 32 of file Triangle2D.h.

Referenced by Triangle2D().

p1UV

const Vector2D* p1UV

UV coordinates of the first vertex.

Definition at line 39 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), and Triangle2D().

p1X

float p1X

Definition at line 28 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), DidIntersectSAT(), GetP1(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

p1Y

float p1Y

Definition at line 28 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), DidIntersectSAT(), GetP1(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

p2UV

const Vector2D* p2UV

UV coordinates of the second vertex.

Definition at line 40 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), and Triangle2D().

p2X

float p2X

Definition at line 28 of file Triangle2D.h.

Referenced by DidIntersectSAT(), GetP2(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

p2Y

float p2Y

Definition at line 28 of file Triangle2D.h.

Referenced by DidIntersectSAT(), GetP2(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

p3UV

const Vector2D* p3UV

UV coordinates of the third vertex.

Definition at line 41 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), and Triangle2D().

p3X

float p3X

Definition at line 28 of file Triangle2D.h.

Referenced by DidIntersectSAT(), GetP3(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

p3Y

float p3Y

Coordinates of the triangle's vertices.

Definition at line 28 of file Triangle2D.h.

Referenced by DidIntersectSAT(), GetP3(), ToString(), Triangle2D(), Triangle2D(), and Triangle2D().

t3p1

Vector3D* t3p1

Pointer to the first vertex in 3D space.

Definition at line 35 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), Triangle2D(), and Triangle2D().

t3p2

Vector3D* t3p2

Pointer to the second vertex in 3D space.

Definition at line 36 of file Triangle2D.h.

Referenced by Triangle2D(), and Triangle2D().

t3p3

Vector3D* t3p3

Pointer to the third vertex in 3D space.

Definition at line 37 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixel(), Rasterizer::CheckRasterPixelAccel(), Triangle2D(), and Triangle2D().

v0X

float v0X

Definition at line 29 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), Triangle2D(), Triangle2D(), and Triangle2D().

v0Y

float v0Y

Definition at line 29 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), Triangle2D(), Triangle2D(), and Triangle2D().

v1X

float v1X

Definition at line 29 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), Triangle2D(), Triangle2D(), and Triangle2D().

v1Y

float v1Y

Definition at line 29 of file Triangle2D.h.

Referenced by Rasterizer::CheckRasterPixelAccel(), DidIntersect(), Triangle2D(), Triangle2D(), and Triangle2D().

v2X

float v2X

Definition at line 29 of file Triangle2D.h.

v2Y

float v2Y

Edge vectors for barycentric coordinate calculations.

Definition at line 29 of file Triangle2D.h.

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The documentation for this class was generated from the following files:

• Triangle2D.h
• Triangle2D.cpp