src/matrix2i.c file

Functions

auto mat2i_identity(void) -> matrix2i: Constructs the 2x2 integer identity matrix.
auto mat2i_mul(matrix2i a, matrix2i b) -> matrix2i: Multiplies two 2x2 integer matrices (a * b).
auto mat2i_transpose(matrix2i m) -> matrix2i: Computes the transpose of a 2x2 integer matrix.
auto mat2i_inverse(matrix2i m) -> matrix2i: Computes the inverse of a 2x2 integer matrix.
auto mat2i_determinant(matrix2i m) -> vm_int_t: Calculates the determinant of the given 2x2 integer matrix.
auto mat2i_mul_vec2i(matrix2i m, vector2i v) -> vector2i: Multiplies a 2x2 integer matrix by a vector2i.

Constructs the 2x2 integer identity matrix.

Returns	The identity matrix2i.

Multiplies two 2x2 integer matrices (a * b).

Parameters
a	The first matrix.
b	The second matrix.
Returns	The resulting product matrix2i.

Column-major product AB so (AB)v == A(Bv) (column vector on the right).

Computes the transpose of a 2x2 integer matrix.

Parameters
m	The input matrix.
Returns	The transposed matrix2i.

Computes the inverse of a 2x2 integer matrix.

Parameters
m	The input matrix.
Returns	The inverse matrix2i.

Truncated integer inverse (not a modular inverse).

Calculates the determinant of the given 2x2 integer matrix.

Parameters
m	The matrix.
Returns	The determinant value (m.v[0]m.v[3] - m.v[1]m.v[2]).

Multiplies a 2x2 integer matrix by a vector2i.