From f5e0076a8455eec5b4a515b39202217f8a8b9e71 Mon Sep 17 00:00:00 2001 From: justanothercatgirl Date: Sun, 13 Oct 2024 19:28:57 +0300 Subject: Initial commit --- matrix.c | 116 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 116 insertions(+) create mode 100644 matrix.c (limited to 'matrix.c') diff --git a/matrix.c b/matrix.c new file mode 100644 index 0000000..29c4457 --- /dev/null +++ b/matrix.c @@ -0,0 +1,116 @@ +#include "matrix.h" + +// Почему так? Числа более рандомные получаются. А ещё это быстро. +double frand(double min, double max) { + double ret = 0; + unsigned long *ret_mem = (unsigned long*)&ret; + *ret_mem = ( ((unsigned long)rand() << 21) + ^ (unsigned long)rand() + ) & ~(1UL << 63); + int expa, expb; + frexp(min, &expa); + frexp(max, &expb); + int _exp = rand() % (expb-expa + 2) + expa - 1 ; + *ret_mem |= ((unsigned long)abs(_exp) << 52) | + (_exp < 0 ? 0UL << 62 : 1UL << 62); + return fmod(ret, max-min) + min; +} + +struct matrix matrix_new(usz rows, usz columns) { + double ** data = malloc(rows * sizeof (double*)); + for (usz i = 0; i < rows; ++i) + data[i] = malloc(columns * sizeof (double)); + return (struct matrix) { + .data = data, + .rows = rows, + .columns = columns, + }; +} + +void matrix_free(struct matrix m) { + for (usz i = 0; i < m.rows; ++i) + free(m.data[i]); + free(m.data); +} + +void matrix_print(struct matrix *m) { + for (usz i = 0; i < m->rows; ++i) { + printf("| "); + for (usz j = 0; j < m->columns; ++j) { + printf("%10.3g ", m->data[i][j]); + } + printf("|\n"); + } +} + +void matrix_fill(struct matrix *m, double min, double max) { + for (usz i = 0; i < m->rows; ++i) + for (usz j = 0; j < m->columns; ++j) + m->data[i][j] = frand(min, max); +} + +void matrix_apply(struct matrix *m, const struct fmatrix *fm) { + if (m->rows != fm->rows || m->columns != fm->columns) return; + for (usz i = 0; i < fm->rows; ++i) + for (usz j = 0; j < fm->columns; ++j) + m->data[i][j] = (fm->funcs[i][j])(m->data[i][j]); +} + + +struct tumatrix tumatrix_new(usz size) { + double **data = malloc(sizeof (double*) * size); + for (usz i = 0; i < size; ++i) + data[i] = malloc(sizeof (double) * (size - i)); + return (struct tumatrix){.data = data, .size = size}; +} + +void tumatrix_free(struct tumatrix m) { + for (usz i = 0; i < m.size; ++i) + free(m.data[i]); + free(m.data); +} + +double tumatrix_at(const struct tumatrix *m, usz row, usz column) { + if (row > column) return 0.0; + return m->data[row][column - row]; +} + +struct tumatrix tumatrix_mul(const struct tumatrix *a, const struct tumatrix *b) { + if (a->size != b->size) return (struct tumatrix){0}; + struct tumatrix c = tumatrix_new(a->size); + for (usz i = 0; i < a->size; ++i) { + for(usz j = i; j < a->size; ++j) { + double psum = 0; + // maybe r should go from i to j instead, will see + for (usz r = 0; r < a->size; ++r) + psum += tumatrix_at(a, i, r) * tumatrix_at(b, r, j); + c.data[i][j-i] = psum; + } + } + return c; +} + +// Определитель треугольной матрицы равен произведению элементов её главной диагонали +// [https://ru.wikipedia.org/wiki/Треугольная_матрица] +double tumatrix_det(const struct tumatrix *m) { + double prod = 1.0; + for (usz i = 0; i < m->size; ++i) + prod *= tumatrix_at(m, i, i); + return prod; +} + +void tumatrix_fill(struct tumatrix *m, double min, double max) { + for (usz i = 0; i < m->size; ++i) + for (usz j = 0; j < m->size - i; ++j) + m->data[i][j] = frand(min, max); +} + +void tumatrix_print(const struct tumatrix *m) { + for (usz i = 0; i < m->size; ++i) { + printf("| "); + for (usz j = 0; j < m->size; ++j) { + printf("%10.3g ", tumatrix_at(m, i, j)); + } + printf("|\n"); + } +} -- cgit v1.2.3-70-g09d2