Mat33_cd (struct)¶
The Mat33_cd represents a 3 by 3 matrix. It uses Vec3_cd types for each of the 3 rows.
/*
** Example: Vec4
*/
// create a matrix 3x3
Vec3_cd v0(1.0, 0.0, 0.0);
Vec3_cd v1(0.0, 1.0, 0.0);
Vec3_cd v2(0.0, 0.0, 1.0);
Mat33_cd mat(v0, v1, v2);
Fabric Engine Matrices are column-major rather than row-major¶
Most DCCs follow a row-major convention for expressing their matrices which implies that multiplication of matrices occurs in the opposite order to those in Fabric Engine.
In Maya and Softimage, to transform a point (P) by a matrix (WM), you would post-multiply the vector by the matrix by placing it on the left side of the matrix.
(P’ = P x WM)
In Fabric Engine, to transform a point (P) by a matrix (WM), you would post-multiply it by placing it on the right hand side of the matrix.
(P’ = WM x P)
When multiplying matrices together, the order of the matrices is also swapped when compared to Maya/Softimage.
To Transform a Matrix (M) into the space of a another matrix (WM), you would place the L on the right hand side of WM
(M’ = WM x M)
In Maya, Softimage and 3dsmax, the order of the matrices in the multiplication would be swapped.
(M’ = M x WM)
Methods¶
Methods in detail¶
Mat33_cd ( in Complex_d _00, in Complex_d _01, in Complex_d _02, in Complex_d _10, in Complex_d _11, in Complex_d _12, in Complex_d _20, in Complex_d _21, in Complex_d _22 )
Constructor from scalars
Mat33_cd ( in Mat33_cd other )
copy constructor
Mat33_cd ( in Vec3_cd row0, in Vec3_cd row1, in Vec3_cd row2 )
Constructor from vectors
Mat33_cd ()
Mat33_cd Mat33_cd.add? ( in Mat33_cd other )
Overload method for the add operator
Returns the adjoint matrix of this matrix
Boolean Mat33_cd.almostEqual? ( in Mat33_cd other )
Returns true if this matrix is almost the same as another one (using a default precision)
Boolean Mat33_cd.almostEqual? ( in Mat33_cd other, in Float32 precision )
Returns true if this matrix is almost equal to the given matrix within the provided precision range
clone method
Complex_d Mat33_cd.determinant? ()
Returns the determinant of this matrix
Mat33_cd Mat33_cd.divideComplex_d? ( in Complex_d other )
Returns the division of this matrix and a scalar
Boolean Mat33_cd.equal? ( in Mat33_cd other )
Returns true if this matrix is the same as another one
Hash for this value
Returns the inverse matrix of this matrix
Mat33_cd Mat33_cd.inverse_safe? ()
Mat33_cd Mat33_cd.multiply? ( in Mat33_cd other )
Overload method for the multiply operator
Mat33_cd Mat33_cd.multiplyComplex_d? ( in Complex_d other )
Returns the product of this matrix and a scalar
Vec3_cd Mat33_cd.multiplyVector? ( in Vec3_cd other )
Returns the product of this matrix and a vector
Mat33_cd.set! ( in Complex_d _00, in Complex_d _01, in Complex_d _02, in Complex_d _10, in Complex_d _11, in Complex_d _12, in Complex_d _20, in Complex_d _21, in Complex_d _22 )
Sets each component with a single scalar value.
Mat33_cd.set! ( in Vec3_cd row0, in Vec3_cd row1, in Vec3_cd row2 )
Setter from vectors
Mat33_cd.setColumns! ( in Vec3_cd col0, in Vec3_cd col1, in Vec3_cd col2 )
Setter from vectors, column-wise
Mat33_cd.setDiagonal! ( in Complex_d v )
setting the diagonal components of this matrix to a scalar
Mat33_cd.setDiagonal! ( in Vec3_cd v )
setting the diagonal components of this matrix to the components of a vector
Mat33_cd.setIdentity! ()
setting this matrix to the identity matrix
Mat33_cd.setNull! ()
setting all components of the matrix to 0.0
Mat33_cd.setRows! ( in Vec3_cd row0, in Vec3_cd row1, in Vec3_cd row2 )
Setter from vectors, row-wise
Mat33_cd Mat33_cd.subtract? ( in Mat33_cd other )
Overload method for the subtract operator
Mat33_cd Mat33_cd.transpose? ()
Returns the transposed matrix of this matrix
