Lista de exercícios 7 - Matriz

matriz.c

#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>

#define SIZE 3

float media_matriz(int n, float a[][SIZE]) {
  float m = 0.0f;
  size_t i;
  for(i = 0; i < n*SIZE; i++)
    m += a[i/SIZE][i%SIZE];
  return m / (n*SIZE);
}

void identidade(int n, float a[][SIZE]) {
  size_t i;
  for(i = 0; i < n*SIZE; i++)
    a[i/SIZE][i%SIZE] = 0;
  for(i = 0; i < SIZE; i++)
    a[i][i] = 1;
}

void transposta(int n, float a[][SIZE], float t[][SIZE]) {
  size_t i;
  for(i = 0; i < n*SIZE; i++)
    t[i/SIZE][i%SIZE] = a[i%SIZE][i/SIZE];
}

bool simetrica(int n, float a[][SIZE]) {
  bool s = true;
  size_t i;
  for(i = 0; i < n*SIZE; i++)
    s &= (a[i/SIZE][i%SIZE] == a[i%SIZE][i/SIZE]);
  return s;
}

void soma_matriz(int n, float a[][SIZE], float b[][SIZE], float s[][SIZE]) {
  size_t i;
  for(i = 0; i < n*SIZE; i++)
    s[i/SIZE][i%SIZE] = a[i/SIZE][i%SIZE] + b[i/SIZE][i%SIZE];
}

void mult_matriz(int n, float a[][SIZE], float b[][SIZE], float p[][SIZE]) {
  size_t i, j;
  for(i = 0; i < n*SIZE; i++) {
    p[i/SIZE][i%SIZE] = 0;
    for(j = 0; j < SIZE; j++) {
      p[i/SIZE][i%SIZE] += a[i/SIZE][j] * b[j][i%SIZE];
    }
  }
}

void imprime_matriz(int n, float a[][SIZE]) {
  size_t i, j;
  printf("[\n");
  for(i = 0; i < n; i++) {
    printf("  [");
    for(j = 0; j < SIZE; j++) 
      printf("%f, ", a[i][j]);
    printf("\b\b]\n");
  }
  printf("]\n");
}

int main() {
  float m[SIZE][SIZE], m2[SIZE][SIZE], t[SIZE][SIZE];
  size_t i;

  for(i = 0; i < SIZE*SIZE; i++) {
    printf("[%lu][%lu] = ", i / SIZE, i % SIZE);
    scanf("%f", m[i/SIZE] + i%SIZE);
  }
  printf("\n");
  for(i = 0; i < SIZE*SIZE; i++) {
    printf("[%lu][%lu] = ", i / SIZE, i % SIZE);
    scanf("%f", m2[i/SIZE] + i%SIZE);
  }

  printf("\n");
  imprime_matriz(SIZE, m);
  imprime_matriz(SIZE, m2);

  printf("\nMedia: %f\n", media_matriz(SIZE, m));
  printf("Simetrica: %1i\n", simetrica(SIZE, m));

  printf("\nTransposta: \n");
  transposta(SIZE, m, t);
  imprime_matriz(SIZE, t);

  printf("\nSoma: \n");
  soma_matriz(SIZE, m, m2, t);
  imprime_matriz(SIZE, t);

  printf("\nProduto: \n");
  mult_matriz(SIZE, m, m2, t);
  imprime_matriz(SIZE, t);

  return 0;
}