mpfr_mat.h – matrices of MPFR floating-point numbers

Memory management

void mpfr_mat_init(mpfr_mat_t mat, slong rows, slong cols, mpfr_prec_t prec)

Initialises a matrix with the given number of rows and columns and the given precision for use. The precision is the exact precision of the entries.

void mpfr_mat_clear(mpfr_mat_t mat)

Clears the given matrix.

Basic manipulation

__mpfr_struct * mpfr_mat_entry(const mpfr_mat_t mat, slong i, slong j)

Return a reference to the entry at row \(i\) and column \(j\) of the given matrix. The values \(i\) and \(j\) must be within the bounds for the matrix. The reference can be used to either return or set the given entry.

void mpfr_mat_swap(mpfr_mat_t mat1, mpfr_mat_t mat2)

Efficiently swap matrices mat1 and mat2.

void mpfr_mat_swap_entrywise(mpfr_mat_t mat1, mpfr_mat_t mat2)

Swaps two matrices by swapping the individual entries rather than swapping the contents of the structs.

void mpfr_mat_set(mpfr_mat_t mat1, const mpfr_mat_t mat2)

Set mat1 to the value of mat2.

void mpfr_mat_zero(mpfr_mat_t mat)

Set mat to the zero matrix.

Comparison

int mpfr_mat_equal(const mpfr_mat_t mat1, const mpfr_mat_t mat2)

Return \(1\) if the two given matrices are equal, otherwise return \(0\).

Randomisation

void mpfr_mat_randtest(mpfr_mat_t mat, flint_rand_t state)

Generate a random matrix with random number of rows and columns and random entries for use in test code.

Basic arithmetic

void mpfr_mat_mul_classical(mpfr_mat_t C, const mpfr_mat_t A, const mpfr_mat_t B, mpfr_rnd_t rnd)

Set \(C\) to the product of \(A\) and \(B\) with the given rounding mode, using the classical algorithm.