matrix unit

The unit matrix is a unit that provides objects for the common two, three and four dimensional vectors matrices. These vectors and matrices are very common in computer graphics and are often implemented from scratch by programmers while every implementation provides exactly the same functionality.

It makes therefore sense to provide this functionality in the runtime library. This eliminates the need for programmers to reinvent the wheel and also allows libraries that use matrix operations to become more compatible.

The matrix unit does not provide n-dimensional matrices. The functionality needs of a general matrix unit varies from application to application; one can think of reduced memory usage tricks for matrices that only have data around the diagonal etc., desire for parallelization etc. etc. It is believed that programmers that do use n-dimensional matrices would not necessarily benefit from such a unit in the runtime library.

Design goals:

• Provide common dimensions, two three and four.
• Provide multiple floating point precisions, single, double, extended.
• Simple trivial binary representation; it is possible to typecast vectors into other implementations that use the same trivial representation.
• No dynamic memory management in the background. It must be possible to write expressions like matrix A * B * C without worrying about memory management.

Design decisions:

• Class object model is ruled out. The objects object model, without virtual methods, is suitable.
• Operator overloading is a good way to allow programmers to write matrix expressions.
• 3 dimensions * 3 precision means 9 vector and 9 matrix objects. Macro's have been used in the source to take care of this.

Classes and records

Tmatrix2_double	object	Double precision matrix of two scalars.
Tmatrix2_extended	object	Extended precision matrix of two scalars.
Tmatrix2_single	object	Single precision matrix of two scalars.
Tmatrix3_double	object	Double precision matrix of three scalars.
Tmatrix3_extended	object	Extended precision matrix of three scalars.
Tmatrix3_single	object	Single precision matrix of three scalars.
Tmatrix4_double	object	Double precision matrix of four scalars.
Tmatrix4_extended	object	Extended precision matrix of extended scalars.
Tmatrix4_single	object	Single precision matrix of four scalars.
Tvector2_double	object	Double precision vector of two scalars.
Tvector2_extended	object	Extended precision vector of two scalars.
Tvector2_single	object	Single precision vector of two scalars.
Tvector3_double	object	Double precision vector of three scalars.
Tvector3_extended	object	Extended precision vector of three scalars.
Tvector3_single	object	Single precision vector of three scalars.
Tvector4_double	object	Double precision vector of four scalars.
Tvector4_extended	object	Extended precision vector of extended scalars.
Tvector4_single	object	Single precision vector of four scalars.

Procedures and functions

add(Tmatrix2_double,Double):Tmatrix2_double	operator	Add scalar to two-dimensional double precision matrix.
add(Tmatrix2_double,Tmatrix2_double):Tmatrix2_double	operator	Add two two-dimensional double precision matrices together.
add(Tmatrix2_extended,extended):Tmatrix2_extended	operator	Add scalar to two-dimensional extended precision matrix.
add(Tmatrix2_extended,Tmatrix2_extended):Tmatrix2_extended	operator	Add two two-dimensional extended precision matrices together.
add(Tmatrix2_single,single):Tmatrix2_single	operator	Add scalar to two-dimensional single precision matrix.
add(Tmatrix2_single,Tmatrix2_single):Tmatrix2_single	operator	Add two two-dimensional single precision matrices together.
add(Tmatrix3_double,Double):Tmatrix3_double	operator	Add scalar to three-dimensional double precision matrix.
add(Tmatrix3_double,Tmatrix3_double):Tmatrix3_double	operator	Add two three-dimensional double precision matrices together.
add(Tmatrix3_extended,extended):Tmatrix3_extended	operator	Add scalar to three-dimensional extended precision matrix.
add(Tmatrix3_extended,Tmatrix3_extended):Tmatrix3_extended	operator	Add two three-dimensional extended precision matrices together.
add(Tmatrix3_single,single):Tmatrix3_single	operator	Add scalar to three-dimensional single precision matrix.
add(Tmatrix3_single,Tmatrix3_single):Tmatrix3_single	operator	Add two three-dimensional single precision matrices together.
add(Tmatrix4_double,Double):Tmatrix4_double	operator	Add scalar to four-dimensional double precision matrix.
add(Tmatrix4_double,Tmatrix4_double):Tmatrix4_double	operator	Add two four-dimensional double precision matrices together.
add(Tmatrix4_extended,extended):Tmatrix4_extended	operator	Add scalar to four-dimensional extended precision matrix.
add(Tmatrix4_extended,Tmatrix4_extended):Tmatrix4_extended	operator	Add two four-dimensional extended precision matrices together.
add(Tmatrix4_single,single):Tmatrix4_single	operator	Add scalar to four-dimensional single precision matrix.
add(Tmatrix4_single,Tmatrix4_single):Tmatrix4_single	operator	Add two four-dimensional single precision matrices together.
add(Tvector2_double,Double):Tvector2_double	operator	Add scalar to two-dimensional double precision vector.
add(Tvector2_double,Tvector2_double):Tvector2_double	operator	Add two-dimensional double precision vectors together.
add(Tvector2_extended,extended):Tvector2_extended	operator	Add scalar to two-dimensional extended precision vector.
add(Tvector2_extended,Tvector2_extended):Tvector2_extended	operator	Add two-dimensional extended precision vectors together.
add(Tvector2_single,single):Tvector2_single	operator	Add scalar to two-dimensional single precision vector.
add(Tvector2_single,Tvector2_single):Tvector2_single	operator	Add two-dimensional single precision vectors together.
add(Tvector3_double,Double):Tvector3_double	operator	Add scalar to three-dimensional double precision vector.
add(Tvector3_double,Tvector3_double):Tvector3_double	operator	Add three-dimensional double precision vectors together.
add(Tvector3_extended,extended):Tvector3_extended	operator	Add scalar to three-dimensional extended precision vector.
add(Tvector3_extended,Tvector3_extended):Tvector3_extended	operator	Add three-dimensional extended precision vectors together.
add(Tvector3_single,single):Tvector3_single	operator	Add scalar to three-dimensional single precision vector.
add(Tvector3_single,Tvector3_single):Tvector3_single	operator	Add three-dimensional extended precision vectors together.
add(Tvector4_double,Double):Tvector4_double	operator	Add scalar to four-dimensional double precision vector.
add(Tvector4_double,Tvector4_double):Tvector4_double	operator	Add four-dimensional double precision vectors together.
add(Tvector4_extended,extended):Tvector4_extended	operator	Add scalar to four-dimensional extended precision vector.
add(Tvector4_extended,Tvector4_extended):Tvector4_extended	operator	Add four-dimensional extended precision vectors together.
add(Tvector4_single,single):Tvector4_single	operator	Add scalar to four-dimensional single precision vector.
add(Tvector4_single,Tvector4_single):Tvector4_single	operator	Add four-dimensional single precision vectors together.
assign(Tmatrix2_double):Tmatrix2_extended	operator	Allow assignment of two-dimensional double precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix2_double):Tmatrix2_single	operator	Allow assignment of two-dimensional double precision matrix to two-dimensional single precision matrix.
assign(Tmatrix2_double):Tmatrix3_double	operator	Allow assignment of two-dimensional double precision matrix to three-dimensional double precision matrix.
assign(Tmatrix2_double):Tmatrix3_extended	operator	Allow assignment of two-dimensional double precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix2_double):Tmatrix3_single	operator	Allow assignment of two-dimensional single precision matrix to three-dimensional single precision matrix.
assign(Tmatrix2_double):Tmatrix4_double	operator	Allow assignment of two-dimensional double precision matrix to four-dimensional double precision matrix.
assign(Tmatrix2_double):Tmatrix4_extended	operator	Allow assignment of two-dimensional double precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix2_double):Tmatrix4_single	operator	Allow assignment of two-dimensional double precision matrix to four-dimensional single precision matrix.
assign(Tmatrix2_extended):Tmatrix2_double	operator	Allow assignment of two-dimensional extended precision matrix to two-dimensional double precision matrix.
assign(Tmatrix2_extended):Tmatrix2_single	operator	Allow assignment of two-dimensional extended precision matrix to two-dimensional single precision matrix.
assign(Tmatrix2_extended):Tmatrix3_double	operator	Allow assignment of two-dimensional extended precision matrix to three-dimensional double precision matrix.
assign(Tmatrix2_extended):Tmatrix3_extended	operator	Allow assignment of two-dimensional extended precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix2_extended):Tmatrix3_single	operator	Allow assignment of two-dimensional extended precision matrix to three-dimensional single precision matrix.
assign(Tmatrix2_extended):Tmatrix4_double	operator	Allow assignment of two-dimensional extended precision matrix to four-dimensional double precision matrix.
assign(Tmatrix2_extended):Tmatrix4_extended	operator	Allow assignment of two-dimensional extended precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix2_extended):Tmatrix4_single	operator	Allow assignment of two-dimensional extended precision matrix to four-dimensional single precision matrix.
assign(Tmatrix2_single):Tmatrix2_double	operator	Allow assignment of two-dimensional single precision matrix to two-dimensional double precision matrix.
assign(Tmatrix2_single):Tmatrix2_extended	operator	Allow assignment of two-dimensional single precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix2_single):Tmatrix3_double	operator	Allow assignment of two-dimensional single precision matrix to three-dimensional double precision matrix.
assign(Tmatrix2_single):Tmatrix3_extended	operator	Allow assignment of two-dimensional single precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix2_single):Tmatrix3_single	operator	Allow assignment of two-dimensional single precision matrix to three-dimensional single precision matrix.
assign(Tmatrix2_single):Tmatrix4_double	operator	Allow assignment of two-dimensional single precision matrix to four-dimensional double precision matrix.
assign(Tmatrix2_single):Tmatrix4_extended	operator	Allow assignment of two-dimensional single precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix2_single):Tmatrix4_single	operator	Allow assignment of two-dimensional single precision matrix to four-dimensional single precision matrix.
assign(Tmatrix3_double):Tmatrix2_double	operator	Allow assignment of three-dimensional double precision matrix to two-dimensional double precision matrix.
assign(Tmatrix3_double):Tmatrix2_extended	operator	Allow assignment of three-dimensional double precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix3_double):Tmatrix2_single	operator	Allow assignment of three-dimensional double precision matrix to two-dimensional single precision matrix.
assign(Tmatrix3_double):Tmatrix3_extended	operator	Allow assignment of three-dimensional double precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix3_double):Tmatrix3_single	operator	Allow assignment of three-dimensional double precision matrix to three-dimensional single precision matrix.
assign(Tmatrix3_double):Tmatrix4_double	operator	Allow assignment of three-dimensional double precision matrix to four-dimensional double precision matrix.
assign(Tmatrix3_double):Tmatrix4_extended	operator	Allow assignment of three-dimensional double precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix3_double):Tmatrix4_single	operator	Allow assignment of three-dimensional double precision matrix to four-dimensional single precision matrix.
assign(Tmatrix3_extended):Tmatrix2_double	operator	Allow assignment of three-dimensional extended precision matrix to two-dimensional double precision matrix.
assign(Tmatrix3_extended):Tmatrix2_extended	operator	Allow assignment of three-dimensional extended precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix3_extended):Tmatrix2_single	operator	Allow assignment of three-dimensional extended precision matrix to two-dimensional single precision matrix.
assign(Tmatrix3_extended):Tmatrix3_double	operator	Allow assignment of three-dimensional extended precision matrix to three-dimensional double precision matrix.
assign(Tmatrix3_extended):Tmatrix3_single	operator	Allow assignment of three-dimensional extended precision matrix to three-dimensional single precision matrix.
assign(Tmatrix3_extended):Tmatrix4_double	operator	Allow assignment of three-dimensional extended precision matrix to four-dimensional double precision matrix.
assign(Tmatrix3_extended):Tmatrix4_extended	operator	Allow assignment of three-dimensional extended precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix3_extended):Tmatrix4_single	operator	Allow assignment of three-dimensional extended precision matrix to four-dimensional single precision matrix.
assign(Tmatrix3_single):Tmatrix2_double	operator	Allow assignment of three-dimensional single precision matrix to two-dimensional double precision matrix.
assign(Tmatrix3_single):Tmatrix2_extended	operator	Allow assignment of three-dimensional single precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix3_single):Tmatrix2_single	operator	Allow assignment of three-dimensional single precision matrix to two-dimensional single precision matrix.
assign(Tmatrix3_single):Tmatrix3_double	operator	Allow assignment of three-dimensional single precision matrix to three-dimensional double precision matrix.
assign(Tmatrix3_single):Tmatrix3_extended	operator	Allow assignment of three-dimensional single precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix3_single):Tmatrix4_double	operator	Allow assignment of three-dimensional single precision matrix to four-dimensional double precision matrix.
assign(Tmatrix3_single):Tmatrix4_extended	operator	Allow assignment of three-dimensional single precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix3_single):Tmatrix4_single	operator	Allow assignment of three-dimensional single precision matrix to four-dimensional single precision matrix.
assign(Tmatrix4_double):Tmatrix2_double	operator	Allow assignment of four-dimensional double precision matrix to two-dimensional double precision matrix.
assign(Tmatrix4_double):Tmatrix2_extended	operator	Allow assignment of four-dimensional double precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix4_double):Tmatrix2_single	operator	Allow assignment of four-dimensional double precision matrix to two-dimensional single precision matrix.
assign(Tmatrix4_double):Tmatrix3_double	operator	Allow assignment of four-dimensional double precision matrix to three-dimensional double precision matrix.
assign(Tmatrix4_double):Tmatrix3_extended	operator	Allow assignment of four-dimensional double precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix4_double):Tmatrix3_single	operator	Allow assignment of four-dimensional double precision matrix to three-dimensional single precision matrix.
assign(Tmatrix4_double):Tmatrix4_extended	operator	Allow assignment of four-dimensional double precision matrix to four-dimensional extended precision matrix.
assign(Tmatrix4_double):Tmatrix4_single	operator	Allow assignment of four-dimensional single precision matrix to four-dimensional single precision matrix.
assign(Tmatrix4_extended):Tmatrix2_double	operator	Allow assignment of four-dimensional extended precision matrix to two-dimensional double precision matrix.
assign(Tmatrix4_extended):Tmatrix2_extended	operator	Allow assignment of four-dimensional extended precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix4_extended):Tmatrix2_single	operator	Allow assignment of four-dimensional extended precision matrix to two-dimensional single precision matrix.
assign(Tmatrix4_extended):Tmatrix3_double	operator	Allow assignment of four-dimensional extended precision matrix to three-dimensional double precision matrix.
assign(Tmatrix4_extended):Tmatrix3_extended	operator	Allow assignment of four-dimensional extended precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix4_extended):Tmatrix3_single	operator	Allow assignment of four-dimensional extended precision matrix to three-dimensional single precision matrix.
assign(Tmatrix4_extended):Tmatrix4_double	operator	Allow assignment of four-dimensional extended precision matrix to four-dimensional double precision matrix.
assign(Tmatrix4_extended):Tmatrix4_single	operator	Allow assignment of four-dimensional extended precision matrix to four-dimensional single precision matrix.
assign(Tmatrix4_single):Tmatrix2_double	operator	Allow assignment of four-dimensional single precision matrix to two-dimensional double precision matrix.
assign(Tmatrix4_single):Tmatrix2_extended	operator	Allow assignment of four-dimensional single precision matrix to two-dimensional extended precision matrix.
assign(Tmatrix4_single):Tmatrix2_single	operator	Allow assignment of four-dimensional single precision matrix to two-dimensional single precision matrix.
assign(Tmatrix4_single):Tmatrix3_double	operator	Allow assignment of four-dimensional single precision matrix to three-dimensional double precision matrix.
assign(Tmatrix4_single):Tmatrix3_extended	operator	Allow assignment of four-dimensional single precision matrix to three-dimensional extended precision matrix.
assign(Tmatrix4_single):Tmatrix3_single	operator	Allow assignment of four-dimensional single precision matrix to three-dimensional single precision matrix.
assign(Tmatrix4_single):Tmatrix4_double	operator	Allow assignment of four-dimensional single precision matrix to four-dimensional double precision matrix.
assign(Tmatrix4_single):Tmatrix4_extended	operator	Allow assignment of four-dimensional single precision matrix to four-dimensional extended precision matrix.
assign(Tvector2_double):Tvector2_extended	operator	Allow assignment of double precision vector to extended precision vector.
assign(Tvector2_double):Tvector2_single	operator	Allow assignment of double precision vector to single precision vector.
assign(Tvector2_double):Tvector3_double	operator	Allow assignment of two-dimensional double precision vector to three-dimensional double precision vector.
assign(Tvector2_double):Tvector3_extended	operator	Allow assignment of two-dimensional double precision vector to three-dimensional extended precision vector.
assign(Tvector2_double):Tvector3_single	operator	Allow assignment of two-dimensional double precision vector to three-dimensional single precision vector.
assign(Tvector2_double):Tvector4_double	operator	Allow assignment of two-dimensional double precision vector to four-dimensional double precision vector.
assign(Tvector2_double):Tvector4_extended	operator	Allow assignment of two-dimensional double precision vector to four-dimensional extended precision vector.
assign(Tvector2_double):Tvector4_single	operator	Allow assignment of two-dimensional double precision vector to four-dimensional single precision vector.
assign(Tvector2_extended):Tvector2_double	operator	Allow assignment of extended precision vector to double precision vector.
assign(Tvector2_extended):Tvector2_single	operator	Allow assignment of extended precision vector to single precision vector.
assign(Tvector2_extended):Tvector3_double	operator	Allow assignment of two-dimensional extended precision vector to three-dimensional double precision vector.
assign(Tvector2_extended):Tvector3_extended	operator	Allow assignment of two-dimensional extended precision vector to three-dimensional extended precision vector.
assign(Tvector2_extended):Tvector3_single	operator	Allow assignment of two-dimensional extended precision vector to three-dimensional single precision vector.
assign(Tvector2_extended):Tvector4_double	operator	Allow assignment of two-dimensional extended precision vector to four-dimensional double precision vector.
assign(Tvector2_extended):Tvector4_extended	operator	Allow assignment of two-dimensional extended precision vector to four-dimensional extended precision vector.
assign(Tvector2_extended):Tvector4_single	operator	Allow assignment of two-dimensional extended precision vector to four-dimensional single precision vector.
assign(Tvector2_single):Tvector2_double	operator	Allow assignment of single precision vector to double precision vector.
assign(Tvector2_single):Tvector2_extended	operator	Allow assignment of single precision vector to extended precision vector.
assign(Tvector2_single):Tvector3_double	operator	Allow assignment of two-dimensional single precision vector to three-dimensional double precision vector.
assign(Tvector2_single):Tvector3_extended	operator	Allow assignment of two-dimensional single precision vector to three-dimensional extended precision vector.
assign(Tvector2_single):Tvector3_single	operator	Allow assignment of two-dimensional single precision vector to three-dimensional single precision vector.
assign(Tvector2_single):Tvector4_double	operator	Allow assignment of two-dimensional single precision vector to four-dimensional double precision vector.
assign(Tvector2_single):Tvector4_extended	operator	Allow assignment of two-dimensional single precision vector to four-dimensional extended precision vector.
assign(Tvector2_single):Tvector4_single	operator	Allow assignment of two-dimensional single precision vector to four-dimensional single precision vector.
assign(Tvector3_double):Tvector2_double	operator	Allow assignment of three-dimensional double precision vector to two-dimensional double precision vector.
assign(Tvector3_double):Tvector2_extended	operator	Allow assignment of three-dimensional double precision vector to two-dimensional extended precision vector.
assign(Tvector3_double):Tvector2_single	operator	Allow assignment of three-dimensional double precision vector to two-dimensional single precision vector.
assign(Tvector3_double):Tvector3_extended	operator	Allow assignment of three-dimensional double precision vector to three-dimensional extended precision vector.
assign(Tvector3_double):Tvector3_single	operator	Allow assignment of three-dimensional double precision vector to three-dimensional single precision vector.
assign(Tvector3_double):Tvector4_double	operator	Allow assignment of three-dimensional double precision vector to four-dimensional double precision vector.
assign(Tvector3_double):Tvector4_extended	operator	Allow assignment of three-dimensional double precision vector to four-dimensional extended precision vector.
assign(Tvector3_double):Tvector4_single	operator	Allow assignment of three-dimensional double precision vector to four-dimensional single precision vector.
assign(Tvector3_extended):Tvector2_double	operator	Allow assignment of three-dimensional extended precision vector to two-dimensional double precision vector.
assign(Tvector3_extended):Tvector2_extended	operator	Allow assignment of three-dimensional extended precision vector to two-dimensional extended precision vector.
assign(Tvector3_extended):Tvector2_single	operator	Allow assignment of three-dimensional extended precision vector to two-dimensional single precision vector.
assign(Tvector3_extended):Tvector3_double	operator	Allow assignment of three-dimensional extended precision vector to three-dimensional double precision vector.
assign(Tvector3_extended):Tvector3_single	operator	Allow assignment of three-dimensional single precision vector to three-dimensional double precision vector.
assign(Tvector3_extended):Tvector4_double	operator	Allow assignment of three-dimensional extended precision vector to four-dimensional double precision vector.
assign(Tvector3_extended):Tvector4_extended	operator	Allow assignment of three-dimensional extended precision vector to four-dimensional extended precision vector.
assign(Tvector3_extended):Tvector4_single	operator	Allow assignment of three-dimensional extended precision vector to four-dimensional single precision vector.
assign(Tvector3_single):Tvector2_double	operator	Allow assignment of three-dimensional single precision vector to two-dimensional double precision vector.
assign(Tvector3_single):Tvector2_extended	operator	Allow assignment of three-dimensional single precision vector to two-dimensional extended precision vector.
assign(Tvector3_single):Tvector2_single	operator	Allow assignment of three-dimensional single precision vector to two-dimensional single precision vector.
assign(Tvector3_single):Tvector3_double	operator	Allow assignment of three-dimensional single precision vector to three-dimensional double precision vector.
assign(Tvector3_single):Tvector3_extended	operator	Allow assignment of three-dimensional single precision vector to three-dimensional extended precision vector.
assign(Tvector3_single):Tvector4_double	operator	Allow assignment of three-dimensional single precision vector to four-dimensional double precision vector.
assign(Tvector3_single):Tvector4_extended	operator	Allow assignment of three-dimensional single precision vector to four-dimensional extended precision vector.
assign(Tvector3_single):Tvector4_single	operator	Allow assignment of three-dimensional single precision vector to four-dimensional single precision vector.
assign(Tvector4_double):Tvector2_double	operator	Allow assignment of four-dimensional double precision vector to two-dimensional double precision vector.
assign(Tvector4_double):Tvector2_extended	operator	Allow assignment of four-dimensional double precision vector to two-dimensional extended precision vector.
assign(Tvector4_double):Tvector2_single	operator	Allow assignment of four-dimensional double precision vector to two-dimensional single precision vector.
assign(Tvector4_double):Tvector3_double	operator	Allow assignment of four-dimensional double precision vector to three-dimensional double precision vector.
assign(Tvector4_double):Tvector3_extended	operator	Allow assignment of four-dimensional double precision vector to three-dimensional extended precision vector.
assign(Tvector4_double):Tvector3_single	operator	Allow assignment of four-dimensional double precision vector to three-dimensional single precision vector.
assign(Tvector4_double):Tvector4_extended	operator	Allow assignment of four-dimensional single precision vector to four-dimensional extended precision vector.
assign(Tvector4_double):Tvector4_single	operator	Allow assignment of four-dimensional double precision vector to four-dimensional single precision vector.
assign(Tvector4_extended):Tvector2_double	operator	Allow assignment of four-dimensional extended precision vector to two-dimensional double precision vector.
assign(Tvector4_extended):Tvector2_extended	operator	Allow assignment of four-dimensional extended precision vector to two-dimensional extended precision vector.
assign(Tvector4_extended):Tvector2_single	operator	Allow assignment of four-dimensional extended precision vector to two-dimensional single precision vector.
assign(Tvector4_extended):Tvector3_double	operator	Allow assignment of four-dimensional extended precision vector to three-dimensional double precision vector.
assign(Tvector4_extended):Tvector3_extended	operator	Allow assignment of four-dimensional extended precision vector to three-dimensional extended precision vector.
assign(Tvector4_extended):Tvector3_single	operator	Allow assignment of four-dimensional extended precision vector to three-dimensional single precision vector.
assign(Tvector4_extended):Tvector4_double	operator	Allow assignment of four-dimensional single precision vector to four-dimensional double precision vector.
assign(Tvector4_extended):Tvector4_single	operator	Allow assignment of four-dimensional extended precision vector to four-dimensional single precision vector.
assign(Tvector4_single):Tvector2_double	operator	Allow assignment of four-dimensional single precision vector to two-dimensional double precision vector.
assign(Tvector4_single):Tvector2_extended	operator	Allow assignment of four-dimensional single precision vector to two-dimensional extended precision vector.
assign(Tvector4_single):Tvector2_single	operator	Allow assignment of four-dimensional single precision vector to two-dimensional single precision vector.
assign(Tvector4_single):Tvector3_double	operator	Allow assignment of four-dimensional single precision vector to three-dimensional double precision vector.
assign(Tvector4_single):Tvector3_extended	operator	Allow assignment of four-dimensional single precision vector to three-dimensional extended precision vector.
assign(Tvector4_single):Tvector3_single	operator	Allow assignment of four-dimensional single precision vector to three-dimensional single precision vector.
assign(Tvector4_single):Tvector4_double	operator	Allow assignment of four-dimensional single precision vector to four-dimensional double precision vector.
assign(Tvector4_single):Tvector4_extended	operator	Allow assignment of four-dimensional single precision vector to four-dimensional extended precision vector.
divide(Tmatrix2_double,Double):Tmatrix2_double	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix2_extended,extended):Tmatrix2_extended	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix2_single,single):Tmatrix2_single	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix3_double,Double):Tmatrix3_double	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix3_extended,extended):Tmatrix3_extended	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix3_single,single):Tmatrix3_single	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix4_double,Double):Tmatrix4_double	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix4_extended,extended):Tmatrix4_extended	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tmatrix4_single,single):Tmatrix4_single	operator	Divide a two-dimensional single precision matrix by a scalar.
divide(Tvector2_double,Double):Tvector2_double	operator	Divide a two-dimensional double precision vector by a scalar.
divide(Tvector2_extended,extended):Tvector2_extended	operator	Divide a two-dimensional extended precision vector by a scalar.
divide(Tvector2_single,single):Tvector2_single	operator	Divide a two-dimensional single precision vector by a scalar.
divide(Tvector3_double,Double):Tvector3_double	operator	Divide a three-dimensional double precision vector by a scalar.
divide(Tvector3_extended,extended):Tvector3_extended	operator	Divide a three-dimensional extended precision vector by a scalar.
divide(Tvector3_single,single):Tvector3_single	operator	Divide a three-dimensional single precision vector by a scalar.
divide(Tvector4_double,Double):Tvector4_double	operator	Divide a four-dimensional double precision vector by a scalar.
divide(Tvector4_extended,extended):Tvector4_extended	operator	Divide a four-dimensional extended precision vector by a scalar.
divide(Tvector4_single,single):Tvector4_single	operator	Divide a four-dimensional single precision vector by a scalar.
multiply(Tmatrix2_double,Double):Tmatrix2_double	operator	Multiply a two-dimensional double precision matrix by a scalar.
multiply(Tmatrix2_double,Tmatrix2_double):Tmatrix2_double	operator	Give product of two two-dimensional double precision matrices.
multiply(Tmatrix2_double,Tvector2_double):Tvector2_double	operator	Give product of a two-dimensional double precision matrix and vector.
multiply(Tmatrix2_extended,extended):Tmatrix2_extended	operator	Multiply a two-dimensional extended precision matrix by a scalar.
multiply(Tmatrix2_extended,Tmatrix2_extended):Tmatrix2_extended	operator	Give product of two two-dimensional extended precision matrices.
multiply(Tmatrix2_extended,Tvector2_extended):Tvector2_extended	operator	Give product of a two-dimensional extended precision matrix and vector.
multiply(Tmatrix2_single,single):Tmatrix2_single	operator	Multiply a two-dimensional single precision matrix by a scalar.
multiply(Tmatrix2_single,Tmatrix2_single):Tmatrix2_single	operator	Give product of two two-dimensional single precision matrices.
multiply(Tmatrix2_single,Tvector2_single):Tvector2_single	operator	Give product of a two-dimensional single precision matrix and vector.
multiply(Tmatrix3_double,Double):Tmatrix3_double	operator	Multiply a three-dimensional double precision matrix by a scalar.
multiply(Tmatrix3_double,Tmatrix3_double):Tmatrix3_double	operator	Give product of two three-dimensional double precision matrices.
multiply(Tmatrix3_double,Tvector3_double):Tvector3_double	operator	Give product of a three-dimensional double precision matrix and vector.
multiply(Tmatrix3_extended,extended):Tmatrix3_extended	operator	Multiply a three-dimensional extended precision matrix by a scalar.
multiply(Tmatrix3_extended,Tmatrix3_extended):Tmatrix3_extended	operator	Give product of two three-dimensional extended precision matrices.
multiply(Tmatrix3_extended,Tvector3_extended):Tvector3_extended	operator	Give product of a three-dimensional extended precision matrix and vector.
multiply(Tmatrix3_single,single):Tmatrix3_single	operator	Multiply a three-dimensional single precision matrix by a scalar.
multiply(Tmatrix3_single,Tmatrix3_single):Tmatrix3_single	operator	Give product of two three-dimensional single precision matrices.
multiply(Tmatrix3_single,Tvector3_single):Tvector3_single	operator	Give product of a three-dimensional single precision matrix and vector.
multiply(Tmatrix4_double,Double):Tmatrix4_double	operator	Multiply a four-dimensional double precision matrix by a scalar.
multiply(Tmatrix4_double,Tmatrix4_double):Tmatrix4_double	operator	Give product of two four-dimensional double precision matrices.
multiply(Tmatrix4_double,Tvector4_double):Tvector4_double	operator	Give product of a four-dimensional double precision matrix and vector.
multiply(Tmatrix4_extended,extended):Tmatrix4_extended	operator	Multiply a four-dimensional extended precision matrix by a scalar.
multiply(Tmatrix4_extended,Tmatrix4_extended):Tmatrix4_extended	operator	Give product of two four-dimensional extended precision matrices.
multiply(Tmatrix4_extended,Tvector4_extended):Tvector4_extended	operator	Give product of a four-dimensional extended precision matrix and vector.
multiply(Tmatrix4_single,single):Tmatrix4_single	operator	Multiply a four-dimensional single precision matrix by a scalar.
multiply(Tmatrix4_single,Tmatrix4_single):Tmatrix4_single	operator	Give product of two four-dimensional single precision matrices.
multiply(Tmatrix4_single,Tvector4_single):Tvector4_single	operator	Give product of a four-dimensional single precision matrix and vector.
multiply(Tvector2_double,Double):Tvector2_double	operator	Multiply a two-dimensional double precision vector by a scalar.
multiply(Tvector2_double,Tvector2_double):Tvector2_double	operator	Multiply two vectors element wise.
multiply(Tvector2_extended,extended):Tvector2_extended	operator	Multiply a two-dimensional extended precision vector by a scalar.
multiply(Tvector2_extended,Tvector2_extended):Tvector2_extended	operator	Multiply two vectors element wise.
multiply(Tvector2_single,single):Tvector2_single	operator	Multiply a two-dimensional single precision vector by a scalar.
multiply(Tvector2_single,Tvector2_single):Tvector2_single	operator	Multiply two vectors element wise.
multiply(Tvector3_double,Double):Tvector3_double	operator	Multiply a three-dimensional double precision vector by a scalar.
multiply(Tvector3_double,Tvector3_double):Tvector3_double	operator	Multiply two vectors element wise.
multiply(Tvector3_extended,extended):Tvector3_extended	operator	Multiply a three-dimensional extended precision vector by a scalar.
multiply(Tvector3_extended,Tvector3_extended):Tvector3_extended	operator	Multiply two vectors element wise.
multiply(Tvector3_single,single):Tvector3_single	operator	Multiply a three-dimensional single precision vector by a scalar.
multiply(Tvector3_single,Tvector3_single):Tvector3_single	operator	Multiply two vectors element wise.
multiply(Tvector4_double,Double):Tvector4_double	operator	Multiply a four-dimensional double precision vector by a scalar.
multiply(Tvector4_double,Tvector4_double):Tvector4_double	operator	Multiply two vectors element wise.
multiply(Tvector4_extended,extended):Tvector4_extended	operator	Multiply a four-dimensional extended precision vector by a scalar.
multiply(Tvector4_extended,Tvector4_extended):Tvector4_extended	operator	Multiply two vectors element wise.
multiply(Tvector4_single,single):Tvector4_single	operator	Multiply a four-dimensional single precision vector by a scalar.
multiply(Tvector4_single,Tvector4_single):Tvector4_single	operator	Multiply two vectors element wise.
negative(Tmatrix2_double):Tmatrix2_double	operator	Negate two-dimensional double precision matrix.
negative(Tmatrix2_extended):Tmatrix2_extended	operator	Negate two-dimensional extended precision matrix.
negative(Tmatrix2_single):Tmatrix2_single	operator	Negate two-dimensional single precision matrix.
negative(Tmatrix3_double):Tmatrix3_double	operator	Negate three-dimensional double precision matrix.
negative(Tmatrix3_extended):Tmatrix3_extended	operator	Negate three-dimensional extended precision matrix.
negative(Tmatrix3_single):Tmatrix3_single	operator	Negate three-dimensional single precision matrix.
negative(Tmatrix4_double):Tmatrix4_double	operator	Negate four-dimensional double precision matrix.
negative(Tmatrix4_extended):Tmatrix4_extended	operator	Negate four-dimensional extended precision matrix.
negative(Tmatrix4_single):Tmatrix4_single	operator	Negate four-dimensional single precision matrix.
negative(Tvector2_double):Tvector2_double	operator	Negate two-dimensional vector.
negative(Tvector2_extended):Tvector2_extended	operator	Negate two-dimensional vector.
negative(Tvector2_single):Tvector2_single	operator	Negate two-dimensional vector.
negative(Tvector3_double):Tvector3_double	operator	Negate three-dimensional vector.
negative(Tvector3_extended):Tvector3_extended	operator	Negate three-dimensional vector.
negative(Tvector3_single):Tvector3_single	operator	Negate three-dimensional vector.
negative(Tvector4_double):Tvector4_double	operator	Negate four-dimensional vector.
negative(Tvector4_extended):Tvector4_extended	operator	Negate four-dimensional vector.
negative(Tvector4_single):Tvector4_single	operator	Negate four-dimensional vector.
power(Tvector2_double,Tvector2_double):Double	operator	Calculate the internal product of two vectors.
power(Tvector2_extended,Tvector2_extended):extended	operator	Calculate the internal product of two vectors.
power(Tvector2_single,Tvector2_single):single	operator	Calculate the internal product of two vectors.
power(Tvector3_double,Tvector3_double):Double	operator	Calculate the internal product of two vectors.
power(Tvector3_extended,Tvector3_extended):extended	operator	Calculate the internal product of two vectors.
power(Tvector3_single,Tvector3_single):single	operator	Calculate the internal product of two vectors.
power(Tvector4_double,Tvector4_double):Double	operator	Calculate the internal product of two vectors.
power(Tvector4_extended,Tvector4_extended):extended	operator	Calculate the internal product of two vectors.
power(Tvector4_single,Tvector4_single):single	operator	Calculate the internal product of two vectors.
subtract(Tmatrix2_double,Double):Tmatrix2_double	operator	Subtract scalar to two-dimensional double precision matrix.
subtract(Tmatrix2_double,Tmatrix2_double):Tmatrix2_double	operator	Subtract a two-dimensional double precision matrix from another.
subtract(Tmatrix2_extended,extended):Tmatrix2_extended	operator	Add scalar to two-dimensional extended precision matrix.
subtract(Tmatrix2_extended,Tmatrix2_extended):Tmatrix2_extended	operator	Subtract a two-dimensional extended precision matrix from another.
subtract(Tmatrix2_single,single):Tmatrix2_single	operator	Subtract scalar to two-dimensional single precision matrix.
subtract(Tmatrix2_single,Tmatrix2_single):Tmatrix2_single	operator	Subtract a two-dimensional single precision matrix from another.
subtract(Tmatrix3_double,Double):Tmatrix3_double	operator	Add scalar to three-dimensional double precision matrix.
subtract(Tmatrix3_double,Tmatrix3_double):Tmatrix3_double	operator	Subtract a three-dimensional double precision matrix from another.
subtract(Tmatrix3_extended,extended):Tmatrix3_extended	operator	Add scalar to three-dimensional extended precision matrix.
subtract(Tmatrix3_extended,Tmatrix3_extended):Tmatrix3_extended	operator	Subtract a three-dimensional extended precision matrix from another.
subtract(Tmatrix3_single,single):Tmatrix3_single	operator	Add scalar to three-dimensional single precision matrix.
subtract(Tmatrix3_single,Tmatrix3_single):Tmatrix3_single	operator	Subtract a three-dimensional single precision matrix from another.
subtract(Tmatrix4_double,Double):Tmatrix4_double	operator	Add scalar to four-dimensional double precision matrix.
subtract(Tmatrix4_double,Tmatrix4_double):Tmatrix4_double	operator	Subtract a four-dimensional double precision matrix from another.
subtract(Tmatrix4_extended,extended):Tmatrix4_extended	operator	Add scalar to four-dimensional extended precision matrix.
subtract(Tmatrix4_extended,Tmatrix4_extended):Tmatrix4_extended	operator	Subtract a four-dimensional extended precision matrix from another.
subtract(Tmatrix4_single,single):Tmatrix4_single	operator	Add scalar to four-dimensional single precision matrix.
subtract(Tmatrix4_single,Tmatrix4_single):Tmatrix4_single	operator	Subtract a four-dimensional single precision matrix from another.
subtract(Tvector2_double,Double):Tvector2_double	operator	Subtract scalar from two-dimensional double precision vector.
subtract(Tvector2_double,Tvector2_double):Tvector2_double	operator	Subtract two-dimensional double precision vectors from each other.
subtract(Tvector2_extended,extended):Tvector2_extended	operator	Subtract scalar from two-dimensional extended precision vector.
subtract(Tvector2_extended,Tvector2_extended):Tvector2_extended	operator	Subtract two-dimensional extended precision vectors from each other.
subtract(Tvector2_single,single):Tvector2_single	operator	Subtract scalar from two-dimensional single precision vector.
subtract(Tvector2_single,Tvector2_single):Tvector2_single	operator	Subtract two-dimensional single precision vectors from each other.
subtract(Tvector3_double,Double):Tvector3_double	operator	Subtract scalar from three-dimensional double precision vector.
subtract(Tvector3_double,Tvector3_double):Tvector3_double	operator	Subtract three-dimensional double precision vectors from each other.
subtract(Tvector3_extended,extended):Tvector3_extended	operator	Subtract scalar from three-dimensional extended precision vector.
subtract(Tvector3_extended,Tvector3_extended):Tvector3_extended	operator	Subtract three-dimensional extended precision vectors from each other.
subtract(Tvector3_single,single):Tvector3_single	operator	Subtract scalar from three-dimensional single precision vector.
subtract(Tvector3_single,Tvector3_single):Tvector3_single	operator	Subtract three-dimensional single precision vectors from each other.
subtract(Tvector4_double,Double):Tvector4_double	operator	Subtract scalar from four-dimensional double precision vector.
subtract(Tvector4_double,Tvector4_double):Tvector4_double	operator	Subtract four-dimensional double precision vectors from each other.
subtract(Tvector4_extended,extended):Tvector4_extended	operator	Subtract scalar from four-dimensional extended precision vector.
subtract(Tvector4_extended,Tvector4_extended):Tvector4_extended	operator	Subtract four-dimensional extended precision vectors from each other.
subtract(Tvector4_single,single):Tvector4_single	operator	Subtract scalar from four-dimensional single precision vector.
subtract(Tvector4_single,Tvector4_single):Tvector4_single	operator	Subtract four-dimensional single precision vectors from each other.
symmetricaldifference(Tvector3_double,Tvector3_double):Tvector3_double	operator	Calculate the external product of two three-dimensional vectors.
symmetricaldifference(Tvector3_extended,Tvector3_extended):Tvector3_extended	operator	Calculate the external product of two three-dimensional vectors.
symmetricaldifference(Tvector3_single,Tvector3_single):Tvector3_single	operator	Calculate the external product of two three-dimensional vectors.

Types

Tmatrix2_double_data	type	Internal data of Tmatrix2_double.
Tmatrix2_extended_data	type	Internal data of Tmatrix2_extended.
Tmatrix2_single_data	type	Internal data of Tmatrix2_single.
Tmatrix3_double_data	type	Internal data of Tmatrix3_double.
Tmatrix3_extended_data	type	Internal data of Tmatrix3_extended.
Tmatrix3_single_data	type	Internal data of Tmatrix3_single.
Tmatrix4_double_data	type	Internal data of Tmatrix4_double.
Tmatrix4_extended_data	type	Internal data of Tmatrix4_extended.
Tmatrix4_single_data	type	Internal data of Tmatrix4_single.
Tvector2_double_data	type	Internal data of Tvector2_double.
Tvector2_extended_data	type	Internal data of Tvector2_extended.
Tvector2_single_data	type	Internal data of Tvector2_single.
Tvector3_double_data	type	Internal data of Tvector3_double.
Tvector3_extended_data	type	Internal data of Tvector3_extended.
Tvector3_single_data	type	Internal data of Tvector3_single.
Tvector4_double_data	type	Internal data of Tvector4_double.
Tvector4_extended_data	type	Internal data of Tvector4_extended.
Tvector4_single_data	type	Internal data of Tvector4_single.