/// <summary>
/// Make an orthogonal matrix
/// </summary>
/// <param name="left">Left value</param>
/// <param name="right">Right value</param>
/// <param name="bottom">Bottom value</param>
/// <param name="top">Top value</param>
/// <param name="zNear">Near z plane distance</param>
/// <param name="zFar">Far z plane distance</param>
/// <returns>Frustrum matrix</returns>
public static GLMatrix4D Orthogonal(double left, double right, double bottom, double top, double zNear, double zFar)
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 2 / (right - left);
ret.m[1] = 0;
ret.m[2] = 0;
ret.m[3] = 0;
ret.m[4] = 0;
ret.m[5] = 2 / (top - bottom);
ret.m[6] = 0;
ret.m[7] = 0;
ret.m[8] = 0;
ret.m[9] = 0;
ret.m[10] = -2 / (zFar - zNear);
ret.m[11] = 0;
ret.m[12] = -(right + left) / (right - left);
ret.m[13] = -(top + bottom) / (top - bottom);
ret.m[14] = -(zFar + zNear) / (zFar - zNear);
ret.m[15] = 1;
return(ret);
}
/// <summary>
/// Get the matrix dot product, the most commonly used form of matrix multiplication
/// </summary>
/// <param name="one">Left Matrix</param>
/// <param name="two">Right Matrix</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator*(GLMatrix4D one, GLMatrix4D two)
{
GLMatrix4D ret = new GLMatrix4D();
for (byte j = 0; j < 4; ++j)
{
ret.m[j] = one.m[j] * two.m[0]
+ one.m[j + 4] * two.m[1]
+ one.m[j + 8] * two.m[2]
+ one.m[j + 12] * two.m[3];
ret.m[j + 4] = one.m[j] * two.m[4]
+ one.m[j + 4] * two.m[5]
+ one.m[j + 8] * two.m[6]
+ one.m[j + 12] * two.m[7];
ret.m[j + 8] = one.m[j] * two.m[8]
+ one.m[j + 4] * two.m[9]
+ one.m[j + 8] * two.m[10]
+ one.m[j + 12] * two.m[11];
ret.m[j + 12] = one[j] * two.m[12]
+ one[j + 4] * two.m[13]
+ one[j + 8] * two.m[14]
+ one[j + 12] * two.m[15];
}
return(ret);
}
/// <summary>
/// Get the adjoint matrix
/// </summary>
/// <returns>A new matrix that is adjoint to this one</returns>
public GLMatrix4D adjoint()
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = CofactorM0();
ret.m[1] = -CofactorM4();
ret.m[2] = CofactorM8();
ret.m[3] = -CofactorM12();
ret.m[4] = -CofactorM1();
ret.m[5] = CofactorM5();
ret.m[6] = -CofactorM9();
ret.m[7] = CofactorM13();
ret.m[8] = CofactorM2();
ret.m[9] = -CofactorM6();
ret.m[10] = CofactorM10();
ret.m[11] = -CofactorM14();
ret.m[12] = -CofactorM3();
ret.m[13] = CofactorM7();
ret.m[14] = -CofactorM11();
ret.m[15] = CofactorM15();
return(ret);
}
/// <summary>
/// Create a frustrum matrix
/// </summary>
/// <param name="left">Left value</param>
/// <param name="right">Right value</param>
/// <param name="bottom">Bottom value</param>
/// <param name="top">Top value</param>
/// <param name="zNear">Near z plane distance</param>
/// <param name="zFar">Far z plane distance</param>
/// <returns>Frustrum matrix</returns>
public static GLMatrix4D glFrustrum(double left, double right, double bottom, double top, double zNear, double zFar)
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 2 * zNear / (right - left);
ret.m[1] = 0;
ret.m[2] = 0;
ret.m[3] = 0;
ret.m[4] = 0;
ret.m[5] = 2 * zNear / (top - bottom);
ret.m[6] = 0;
ret.m[7] = 0;
ret.m[8] = (right + left) / (right - left);
ret.m[9] = (top + bottom) / (top - bottom);
ret.m[10] = -(zFar + zNear) / (zFar - zNear);
ret.m[11] = -1;
ret.m[12] = 0;
ret.m[13] = 0;
ret.m[14] = -2 * zFar * zNear / (zFar - zNear);
ret.m[15] = 0;
return(ret);
}
public static void ApplyRotToGLMatrix4d( ref GLMatrix4D matrix, Rot rot )
{
double fRotAngle = 0;
Vector3 vAxis = new Vector3();
mvMath.Rot2AxisAngle( ref vAxis, ref fRotAngle, rot );
matrix.applyRotate( (float)( fRotAngle / mvMath.PiOver180 ), (float)vAxis.x, (float)vAxis.y, (float)vAxis.z );
}
/// <summary>
/// Apply a rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation</param>
/// <param name="x">X value of the rotation vector</param>
/// <param name="y">Y value of the rotation vector</param>
/// <param name="z">Z value of the rotation vector</param>
/// <returns>This matrix</returns>
public GLMatrix4D applyRotate(double angle, double x, double y, double z)
{
GLMatrix4D temp = new GLMatrix4D();
temp.LoadRotate(angle, x, y, z);
return(Multiply3By3(temp));
}
/// <summary>
/// Apply a Z rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation</param>
/// <returns>This matrix</returns>
/// <remarks>Apply rotate[X,Y,Z,XYZ] specialisations by sebastien bloc</remarks>
public GLMatrix4D ApplyRotateZ(double angle)
{
GLMatrix4D temp = new GLMatrix4D();
temp.loadRotateZ(angle);
return(Multiply3By3(temp));
}
/// <summary>
/// Identity matrix
/// </summary>
/// <returns>A new identity matrix</returns>
public static GLMatrix4D Identity()
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 1; ret.m[4] = 0; ret.m[8] = 0; ret.m[12] = 0;
ret.m[1] = 0; ret.m[5] = 1; ret.m[9] = 0; ret.m[13] = 0;
ret.m[2] = 0; ret.m[6] = 0; ret.m[10] = 1; ret.m[14] = 0;
ret.m[3] = 0; ret.m[7] = 0; ret.m[11] = 0; ret.m[15] = 1;
return(ret);
}
/// <summary>
/// Subtract one matrix from another
/// </summary>
/// <param name="one">Left Matrix</param>
/// <param name="two">Right Matrix</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator-(GLMatrix4D one, GLMatrix4D two)
{
GLMatrix4D result = new GLMatrix4D();
for (byte i = 0; i < 16; ++i)
{
result.m[i] = one.m[i] - two.m[i];
}
return(result);
}
/// <summary>
/// Divide this matrix by a scalar
/// </summary>
/// <param name="mat">Matrix</param>
/// <param name="val">Scalar</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator/(GLMatrix4D mat, double val)
{
GLMatrix4D result = new GLMatrix4D();
for (byte i = 0; i < 16; ++i)
{
result.m[i] = mat.m[i] / val;
}
return(result);
}
/// <summary>
/// Adjoint method inverse, constant time inversion implementation
/// </summary>
/// <returns>A new matrix that is inverse to this one</returns>
public GLMatrix4D inverse()
{
GLMatrix4D ret = new GLMatrix4D(adjoint());
double determinant = m[0] * ret[0] + m[1] * ret[4] + m[2] * ret[8] + m[3] * ret[12];
//assert(determinant!=0 && "Singular matrix has no inverse");
ret /= determinant;
return(ret);
}
/// <summary>
/// Apply a XYZ rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation around X axis</param>
/// <param name="angle">Angle of rotation around Y axis</param>
/// <param name="angle">Angle of rotation around Z axis</param>
/// <returns>This matrix</returns>
/// <remarks>Apply rotate[X,Y,Z,XYZ] specialisations by sebastien bloc</remarks>
public GLMatrix4D ApplyRotateXYZ(double x, double y, double z)
{
GLMatrix4D temp = new GLMatrix4D();
temp.LoadRotateX(x);
Multiply3By3(temp);
temp.loadRotateY(y);
Multiply3By3(temp);
temp.loadRotateZ(z);
return(Multiply3By3(temp));
}
/// <summary>
/// Equality function override
/// </summary>
/// <param name="twoobject">Matrix object</param>
/// <returns>True if they are equal, false otherwise</returns>
public override bool Equals(object twoobject)
{
GLMatrix4D two = twoobject as GLMatrix4D;
for (int i = 0; i < 16; i++)
{
if (m[i] != two.m[i])
{
return(false);
}
}
return(true);
}
//!Return the transpose
/// <summary>
/// Get a transposed matrix
/// </summary>
/// <returns>A new matrix that is the transposed form of this</returns>
public GLMatrix4D GetTranspose()
{
GLMatrix4D temp = new GLMatrix4D();
for (int i = 0; i < 4; ++i)
{
for (int j = 0; j < 4; ++j)
{
temp.m[j + i * 4] = m[i + j * 4];
}
}
return(temp);
}
/// <summary>
/// Apply the matrix dot product to this matrix
/// </summary>
/// <param name="mat">Right Side Matrix</param>
/// <returns>This Matrix</returns>
/// <remarks>unrolling by sebastien bloc</remarks>
public GLMatrix4D Multiply3By3(GLMatrix4D mat)
{
GLMatrix4D temp = new GLMatrix4D(this);
m[0] = temp.m[0] * mat.m[0] + temp.m[4] * mat.m[1] + temp.m[8] * mat.m[2];
m[4] = temp.m[0] * mat.m[4] + temp.m[4] * mat.m[5] + temp.m[8] * mat.m[6];
m[8] = temp.m[0] * mat.m[8] + temp.m[4] * mat.m[9] + temp.m[8] * mat.m[10];
m[1] = temp.m[1] * mat.m[0] + temp.m[5] * mat.m[1] + temp.m[9] * mat.m[2];
m[5] = temp.m[1] * mat.m[4] + temp.m[5] * mat.m[5] + temp.m[9] * mat.m[6];
m[9] = temp.m[1] * mat.m[8] + temp.m[5] * mat.m[9] + temp.m[9] * mat.m[10];
m[2] = temp.m[2] * mat.m[0] + temp.m[6] * mat.m[1] + temp.m[10] * mat.m[2];
m[6] = temp.m[2] * mat.m[4] + temp.m[6] * mat.m[5] + temp.m[10] * mat.m[6];
m[10] = temp.m[2] * mat.m[8] + temp.m[6] * mat.m[9] + temp.m[10] * mat.m[10];
m[3] = temp.m[3] * mat.m[0] + temp.m[7] * mat.m[1] + temp.m[11] * mat.m[2];
m[7] = temp.m[3] * mat.m[4] + temp.m[7] * mat.m[5] + temp.m[11] * mat.m[6];
m[11] = temp.m[3] * mat.m[8] + temp.m[7] * mat.m[9] + temp.m[11] * mat.m[10];
return(this);
}
/// <summary>
/// Apply a rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation</param>
/// <param name="x">X value of the rotation vector</param>
/// <param name="y">Y value of the rotation vector</param>
/// <param name="z">Z value of the rotation vector</param>
/// <returns>This matrix</returns>
public GLMatrix4D applyRotate( double angle, double x, double y, double z )
{
GLMatrix4D temp = new GLMatrix4D();
temp.LoadRotate( angle,x,y,z );
return Multiply3By3( temp );
}
/// <summary>
/// Get the adjoint matrix
/// </summary>
/// <returns>A new matrix that is adjoint to this one</returns>
public GLMatrix4D adjoint()
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = CofactorM0();
ret.m[1] = -CofactorM4();
ret.m[2] = CofactorM8();
ret.m[3] = -CofactorM12();
ret.m[4] = -CofactorM1();
ret.m[5] = CofactorM5();
ret.m[6] = -CofactorM9();
ret.m[7] = CofactorM13();
ret.m[8] = CofactorM2();
ret.m[9] = -CofactorM6();
ret.m[10] = CofactorM10();
ret.m[11] = -CofactorM14();
ret.m[12] = -CofactorM3();
ret.m[13] = CofactorM7();
ret.m[14] = -CofactorM11();
ret.m[15] = CofactorM15();
return ret;
}
/// <summary>
/// Make an orthogonal matrix
/// </summary>
/// <param name="left">Left value</param>
/// <param name="right">Right value</param>
/// <param name="bottom">Bottom value</param>
/// <param name="top">Top value</param>
/// <param name="zNear">Near z plane distance</param>
/// <param name="zFar">Far z plane distance</param>
/// <returns>Frustrum matrix</returns>
public static GLMatrix4D Orthogonal( double left, double right, double bottom, double top, double zNear, double zFar )
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 2/(right-left);
ret.m[1] = 0;
ret.m[2] = 0;
ret.m[3] = 0;
ret.m[4] = 0;
ret.m[5] = 2/(top-bottom);
ret.m[6] = 0;
ret.m[7] = 0;
ret.m[8] = 0;
ret.m[9] = 0;
ret.m[10] = -2/(zFar-zNear);
ret.m[11] = 0;
ret.m[12] = -(right+left)/(right-left);
ret.m[13] = -(top+bottom)/(top-bottom);
ret.m[14] = -(zFar+zNear)/(zFar-zNear);
ret.m[15] = 1;
return ret;
}
/// <summary>
/// Identity matrix
/// </summary>
/// <returns>A new identity matrix</returns>
public static GLMatrix4D Identity()
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 1; ret.m[4] = 0; ret.m[8] = 0; ret.m[12] = 0;
ret.m[1] = 0; ret.m[5] = 1; ret.m[9] = 0; ret.m[13] = 0;
ret.m[2] = 0; ret.m[6] = 0; ret.m[10] = 1; ret.m[14] = 0;
ret.m[3] = 0; ret.m[7] = 0; ret.m[11] = 0; ret.m[15] = 1;
return ret;
}
/// <summary>
/// Create a frustrum matrix
/// </summary>
/// <param name="left">Left value</param>
/// <param name="right">Right value</param>
/// <param name="bottom">Bottom value</param>
/// <param name="top">Top value</param>
/// <param name="zNear">Near z plane distance</param>
/// <param name="zFar">Far z plane distance</param>
/// <returns>Frustrum matrix</returns>
public static GLMatrix4D glFrustrum( double left, double right, double bottom, double top, double zNear, double zFar )
{
GLMatrix4D ret = new GLMatrix4D();
ret.m[0] = 2*zNear/(right-left);
ret.m[1] = 0;
ret.m[2] = 0;
ret.m[3] = 0;
ret.m[4] = 0;
ret.m[5] = 2*zNear/(top-bottom);
ret.m[6] = 0;
ret.m[7] = 0;
ret.m[8] = (right+left)/(right-left);
ret.m[9] = (top+bottom)/(top-bottom);
ret.m[10] = -(zFar+zNear)/(zFar-zNear);
ret.m[11] = -1;
ret.m[12] = 0;
ret.m[13] = 0;
ret.m[14] = -2*zFar*zNear/(zFar-zNear);
ret.m[15] = 0;
return ret;
}
/// <summary>
/// Divide this matrix by a scalar
/// </summary>
/// <param name="mat">Matrix</param>
/// <param name="val">Scalar</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator /( GLMatrix4D mat, double val)
{
GLMatrix4D result = new GLMatrix4D();
for( byte i = 0; i < 16; ++i )
{
result.m[i] = mat.m[i] / val;
}
return result;
}
/// <summary>
/// Subtract one matrix from another
/// </summary>
/// <param name="one">Left Matrix</param>
/// <param name="two">Right Matrix</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator -( GLMatrix4D one, GLMatrix4D two)
{
GLMatrix4D result = new GLMatrix4D();
for( byte i = 0; i < 16; ++i )
{
result.m[i] = one.m[i] - two.m[i];
}
return result;
}
/// <summary>
/// Get the matrix dot product, the most commonly used form of matrix multiplication
/// </summary>
/// <param name="one">Left Matrix</param>
/// <param name="two">Right Matrix</param>
/// <returns>New resulting matrix</returns>
public static GLMatrix4D operator *( GLMatrix4D one, GLMatrix4D two )
{
GLMatrix4D ret = new GLMatrix4D();
for( byte j = 0; j < 4; ++j )
{
ret.m[j] = one.m[j]*two.m[0]
+ one.m[j+4]*two.m[1]
+ one.m[j+8]*two.m[2]
+ one.m[j+12]*two.m[3];
ret.m[j+4] = one.m[j]*two.m[4]
+ one.m[j+4]*two.m[5]
+ one.m[j+8]*two.m[6]
+ one.m[j+12]*two.m[7];
ret.m[j+8] = one.m[j]*two.m[8]
+ one.m[j+4]*two.m[9]
+ one.m[j+8]*two.m[10]
+ one.m[j+12]*two.m[11];
ret.m[j+12] = one[j]*two.m[12]
+ one[j+4]*two.m[13]
+ one[j+8]*two.m[14]
+ one[j+12]*two.m[15];
}
return ret;
}
/// <summary>
/// Copy a matrix
/// </summary>
/// <param name="mat">Source matrix to copy from</param>
public GLMatrix4D(GLMatrix4D mat)
{
Buffer.BlockCopy( mat.m, 0, m, 0, Buffer.ByteLength( mat.m ) );
return;
}
/// <summary>
/// Apply a XYZ rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation around X axis</param>
/// <param name="angle">Angle of rotation around Y axis</param>
/// <param name="angle">Angle of rotation around Z axis</param>
/// <returns>This matrix</returns>
/// <remarks>Apply rotate[X,Y,Z,XYZ] specialisations by sebastien bloc</remarks>
public GLMatrix4D ApplyRotateXYZ( double x,double y,double z )
{
GLMatrix4D temp = new GLMatrix4D();
temp.LoadRotateX( x );
Multiply3By3( temp );
temp.loadRotateY( y );
Multiply3By3( temp );
temp.loadRotateZ( z );
return Multiply3By3( temp );
}
//!Return the transpose
/// <summary>
/// Get a transposed matrix
/// </summary>
/// <returns>A new matrix that is the transposed form of this</returns>
public GLMatrix4D GetTranspose()
{
GLMatrix4D temp = new GLMatrix4D();
for( int i = 0; i < 4; ++i)
{
for( int j = 0; j < 4; ++j)
{
temp.m[j+i*4] = m[i+j*4];
}
}
return temp;
}
/// <summary>
/// Apply a Z rotation to this matrix
/// </summary>
/// <param name="angle">Angle of rotation</param>
/// <returns>This matrix</returns>
/// <remarks>Apply rotate[X,Y,Z,XYZ] specialisations by sebastien bloc</remarks>
public GLMatrix4D ApplyRotateZ( double angle )
{
GLMatrix4D temp = new GLMatrix4D();
temp.loadRotateZ( angle );
return Multiply3By3( temp );
}
/// <summary>
/// Apply the matrix dot product to this matrix
/// </summary>
/// <param name="mat">Right Side Matrix</param>
/// <returns>This Matrix</returns>
/// <remarks>unrolling by sebastien bloc</remarks>
public GLMatrix4D Multiply3By3( GLMatrix4D mat )
{
GLMatrix4D temp = new GLMatrix4D( this );
m[0] = temp.m[0]*mat.m[0]+temp.m[4]*mat.m[1]+temp.m[8]*mat.m[2];
m[4] = temp.m[0]*mat.m[4]+temp.m[4]*mat.m[5]+temp.m[8]*mat.m[6];
m[8] = temp.m[0]*mat.m[8]+temp.m[4]*mat.m[9]+temp.m[8]*mat.m[10];
m[1] = temp.m[1]*mat.m[0]+temp.m[5]*mat.m[1]+temp.m[9]*mat.m[2];
m[5] = temp.m[1]*mat.m[4]+temp.m[5]*mat.m[5]+temp.m[9]*mat.m[6];
m[9] = temp.m[1]*mat.m[8]+temp.m[5]*mat.m[9]+temp.m[9]*mat.m[10];
m[2] = temp.m[2]*mat.m[0]+temp.m[6]*mat.m[1]+temp.m[10]*mat.m[2];
m[6] = temp.m[2]*mat.m[4]+temp.m[6]*mat.m[5]+temp.m[10]*mat.m[6];
m[10] = temp.m[2]*mat.m[8]+temp.m[6]*mat.m[9]+temp.m[10]*mat.m[10];
m[3] = temp.m[3]*mat.m[0]+temp.m[7]*mat.m[1]+temp.m[11]*mat.m[2];
m[7] = temp.m[3]*mat.m[4]+temp.m[7]*mat.m[5]+temp.m[11]*mat.m[6];
m[11] = temp.m[3]*mat.m[8]+temp.m[7]*mat.m[9]+temp.m[11]*mat.m[10];
return this;
}
/// <summary>
/// Adjoint method inverse, constant time inversion implementation
/// </summary>
/// <returns>A new matrix that is inverse to this one</returns>
public GLMatrix4D inverse()
{
GLMatrix4D ret = new GLMatrix4D(adjoint());
double determinant = m[0]*ret[0] + m[1]*ret[4] + m[2]*ret[8] + m[3]*ret[12];
//assert(determinant!=0 && "Singular matrix has no inverse");
ret /= determinant;
return ret;
}
/// <summary>
/// Copy a matrix
/// </summary>
/// <param name="mat">Source matrix to copy from</param>
public GLMatrix4D(GLMatrix4D mat)
{
Buffer.BlockCopy(mat.m, 0, m, 0, Buffer.ByteLength(mat.m));
return;
}