Matrix Type
A matrix is a data type that contains between one and sixteen scalar components in a two dimensional grid. Every component of a matrix must be of the same type.
Type Declaration
You can declare matrix variables by using the scalar type name of the matrix's contents with the number of rows and columns it contains:
TypeRowsCols Name
Where Type is the scalar type of each of the components, Rows is an integer between 1 and 4 inclusive indicating the number of rows, Cols is an integer between 1 and 4 inclusive indicating the number of columns and Name is an ASCII string that uniquely identifies the variable name.
Examples:
int1x1 iMatrix; // integer matrix with 1 row, 1 column, 1 single component
int4x1 iMatrix; // integer matrix with 4 rows, 1 column, 4 total components
int1x4 iMatrix; // integer matrix with 1 row, 4 columns, 4 total components
double3x3 dMatrix; // double matrix with 3 rows, 3 columns, 9 total components
float3x2 fMatrix = { 0.0f, 0.1f, // row 1
2.1f, 2.2f, // row 2
4.1f, 4.2f // row 3
};
Template-style Declaration
An alternate declaration syntax uses the matrix keyword and template arguments to indicate scalar type, number of rows and number of columns:
matrix <Type=float, Rows=4, Cols=4> Name
Where Type is the scalar type of each of the components, Rows is an integer between 1 and 4 inclusive indicating the number of rows, Cols is an integer between 1 and 4 inclusive indicating the number of columns, but they are specified within template-style angle brackets. Name is an ASCII string that uniquely identifies the variable name.
Note that the template parameter defaults allow specifying 4-column matrtices of a given type and row count by leaving off the last parameter, a 4x4 matrix of a given type by leaving off the last two template parameters or 4x4 float matrices by leaving off all three.
Examples:
matrix <int, 1, 1> iMatrix = { 1 };
matrix <float, 2, 3> fMatrix = { 0.0f, 0.1f, 0.2f, // row 1
2.1f, 2.2f, 2.3f // row 2
};
matrix<int16_t, 1> sMatrix = { 1, 2, 3, 4 }; // Defaults to 1x4 int16 matrix
matrix<float16_t> hMatrix = { 0.0f, 0.1f, 0.2f, 0.3f, // Defaults to 4x4 float16 matrix
1.0f, 1.1f, 1.2f, 1.3f,
2.0f, 2.1f, 2.2f, 2.3f,
3.0f, 3.1f, 3.2f, 3.3f };
matrix fMatrix = { 0.0f, 0.1f, 0.2f, 0.3f, // Defaults to 4x4 float matrix
1.0f, 1.1f, 1.2f, 1.3f,
2.0f, 2.1f, 2.2f, 2.3f,
3.0f, 3.1f, 3.2f, 3.3f };