class Matrix

Manipulation with 4x4 matrices

Public Fields

float x[4][4]

Direct accessto matrix components

Public

Constructor

Matrix()

Elements are not initialized

Binary operations

Matrix& operator+= (const Matrix& A)

add-to

Matrix& operator-= (const Matrix& A)

subtract-from

Matrix& operator*= (const Matrix& A)

multiply by matrix

Matrix& operator*= (float A)

scale by scalar

friend Matrix operator+ (const Matrix& A, const Matrix& B)

friend Matrix operator- (const Matrix& A, const Matrix& B)

friend Matrix operator* (const Matrix& A, float B)

friend Matrix operator* (const Matrix& A, const Matrix& B)

Basic matrix operations

void Invert()

Invert the matrix

void Transpose()

Transpose the matrix

void Adjoint()

Compute an adjoint matrix

friend Matrix Invert(const Matrix& M)

Invert a given matrix

friend Matrix Transpose(const Matrix& M)

Transpose a given matrix

friend Matrix Adjoint(const Matrix& M)

Compute an adjoint matrix

Special matrices

friend Matrix IdentityMatrix()

friend Matrix ZeroMatrix()

friend Matrix TranslationMatrix(const Vector3D& Location)

friend Matrix RotationXMatrix(float Angle)

friend Matrix RotationYMatrix(float Angle)

friend Matrix RotationZMatrix(float Angle)

friend Matrix RotationYPRMatrix(float Yaw, float Pitch, float Roll)

friend Matrix RotationAxisMatrix(const Vector3D& axis, float Angle)

Generate matrix for rotation around an arbitrary axis

friend Matrix ScaleMatrix(float X, float Y, float Z)

Scale the matrix

friend Matrix GenRotation(const Vector3D& x, const Vector3D& y, const Vector3D& z)

Generate a rotation matrix

friend Matrix MirrorX()

Mirror in X direction

friend Matrix MirrorY()

Mirror in Y direction

friend Matrix MirrorZ()

Mirror in Z direction

friend Matrix RotationOnly(const Matrix& x)

Extract rotation part of a matrix

friend Matrix ViewMatrix(const Vector3D& LookAt, const Vector3D& Viewer, const Vector3D& Up)

Generate a viewing matrix

friend Matrix QuadricMatrix(float a, float b, float c, float d, float e, float f, float g, float h, float j, float k)

Generate matrix for a quadric object. Used by OORT

Vector transforms

friend class Vector3D operator* const Matrix& M const Vector3D& v

Transform a vector

friend class Vector3D RotateOnly const Matrix& M const Vector3D& v

Apply only rotation part to a vector

friend class Vector3D RotateAndScaleOnly const Matrix& M const Vector3D& v

Rotate and scala onlye

Other messages

friend ostream& operator<< (ostream& s, const Matrix& M)

Overloaded output operator.

Compute determinants

float det4x4(void) const

A 4x4 determinant

friend float det4x4(Matrix const &m)

A 4x4 determinant

float x[4][4]

Direct accessto matrix components

Constructor

Matrix()

Elements are not initialized

Binary operations

Matrix& operator+= (const Matrix& A)

add-to

Matrix& operator-= (const Matrix& A)

subtract-from

Matrix& operator*= (const Matrix& A)

multiply by matrix

Matrix& operator*= (float A)

scale by scalar

friend Matrix operator+ (const Matrix& A, const Matrix& B)

friend Matrix operator- (const Matrix& A, const Matrix& B)

friend Matrix operator* (const Matrix& A, float B)

friend Matrix operator* (const Matrix& A, const Matrix& B)

Basic matrix operations

void Invert()

Invert the matrix

void Transpose()

Transpose the matrix

void Adjoint()

Compute an adjoint matrix

friend Matrix Invert(const Matrix& M)

Invert a given matrix

friend Matrix Transpose(const Matrix& M)

Transpose a given matrix

friend Matrix Adjoint(const Matrix& M)

Compute an adjoint matrix

Special matrices

friend Matrix IdentityMatrix()

friend Matrix ZeroMatrix()

friend Matrix TranslationMatrix(const Vector3D& Location)

friend Matrix RotationXMatrix(float Angle)

friend Matrix RotationYMatrix(float Angle)

friend Matrix RotationZMatrix(float Angle)

friend Matrix RotationYPRMatrix(float Yaw, float Pitch, float Roll)

friend Matrix RotationAxisMatrix(const Vector3D& axis, float Angle)

Generate matrix for rotation around an arbitrary axis

friend Matrix ScaleMatrix(float X, float Y, float Z)

Scale the matrix

friend Matrix GenRotation(const Vector3D& x, const Vector3D& y, const Vector3D& z)

Generate a rotation matrix

friend Matrix MirrorX()

Mirror in X direction

friend Matrix MirrorY()

Mirror in Y direction

friend Matrix MirrorZ()

Mirror in Z direction

friend Matrix RotationOnly(const Matrix& x)

Extract rotation part of a matrix

friend Matrix ViewMatrix(const Vector3D& LookAt, const Vector3D& Viewer, const Vector3D& Up)

Generate a viewing matrix

friend Matrix QuadricMatrix(float a, float b, float c, float d, float e, float f, float g, float h, float j, float k)

Generate matrix for a quadric object. Used by OORT

Vector transforms

friend class Vector3D operator* const Matrix& M const Vector3D& v

Transform a vector

friend class Vector3D RotateOnly const Matrix& M const Vector3D& v

Apply only rotation part to a vector

friend class Vector3D RotateAndScaleOnly const Matrix& M const Vector3D& v

Rotate and scala onlye

Other messages

friend ostream& operator<< (ostream& s, const Matrix& M)

Overloaded output operator.

Compute determinants

float det4x4(void) const

A 4x4 determinant

friend float det4x4(Matrix const &m)

A 4x4 determinant

This class has no child classes.

Author:

Nicholas Wilt and Milos Sramek

Version:

1.0

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