slides/exemples/pow.c

+#include <stdio.h>
+
+double pow_naive(double x, int n) {
+    if (n == 0) {
+        return 1.0;
+    }
+    double res = x;
+    for (int i = 1; i < n; i++) {
+        res *= x;
+    }
+    return res;
+}
+
+double pow_rec(double x, int n) {
+    if (n == 0) {
+        return 1.0;
+    } else {
+        return x * pow_rec(x, n - 1);
+    }
+}
+
+double pow_eff(double x, int n) {
+    if (n == 0) {
+        return 1.0;
+    } else if (n % 2 == 0) {
+        double intermediate = pow_eff(x, n / 2);
+        return intermediate * intermediate;
+    } else {
+        return x * pow_eff(x, n - 1);
+    }
+}
+
+int main() {
+    double x = 2;
+    int n = 10000;
+    double y = 0;
+    for (int i = 0; i < 1000; ++i) {
+        // y += pow_eff(x, n);
+        y += pow_naive(x, n);
+    }
+
+    // printf("%lf^%d = %lf\n", x, n, pow_naive(x, n));
+    // printf("%d^%d = %lf\n", x, n, pow_rec(x, n));
+    // printf("%lf^%d = %lf\n", x, n, pow_eff(x, n));
+    printf("y = %lf\n", y);
+}

slides/exemples/ppcm.c

+#include <stdio.h>
+
+int ppcm(int m, int n) {
+  int tmp_m = m;
+  int tmp_n = n;
+  while (m != n) {
+    if (m < n) {
+      m += tmp_m;
+    } else {
+      n += tmp_n;
+    }
+  }
+  return m;
+}
+
+int main() {
+  int m = 36;
+  int n = 90;
+
+  printf("the ppcm is %d\n", ppcm(m, n));
+  return 0;
+}

slides/exemples/queen.c

+#include <stdio.h>
+#include <stdlib.h>
+
+#define NX 8
+#define NY 8
+
+int main() {
+    char tab[NX][NY];
+    int cx = 4;
+    int cy = 7;
+    for (int i = 0; i < NX; ++i) {
+        for (int j = 0; j < NY; ++j) {
+            if (i == cy || j == cx) {
+                tab[i][j] = '*';
+            } else if (abs(cy - i) == abs(cx - j)) {
+                tab[i][j] = '*';
+            } else {
+                tab[i][j] = ' ';
+            }
+        }
+    }
+    tab[cy][cx] = 'R';
+    for (int i = 0; i < NX; ++i) {
+        for (int j = 0; j < NY; ++j) {
+            printf("%c ", tab[i][j]);
+        }
+        printf("\n");
+    }
+}

slides/exemples/queue.c

+#include <stdio.h>
+#include <stdlib.h>
+#include <stdbool.h>
+#include <assert.h>
+
+struct element {
+    int data;
+    struct element *next;
+};
+
+struct queue {
+    struct element *head;
+    struct element *tail;
+};
+
+void queue_init(struct queue *fa) {
+    fa->head = NULL;
+    fa->tail = NULL;
+}
+
+bool queue_is_empty(struct queue fa) {
+    return (fa.head == NULL && fa.tail == NULL);
+}
+
+int queue_tail(struct queue fa) {
+    assert(!queue_is_empty(fa) && "Careful the queue is empty.");
+    return fa.tail->data;
+}
+int queue_head(struct queue fa) {
+    assert(!queue_is_empty(fa) && "Careful the queue is empty.");
+    return fa.head->data;
+}
+
+void queue_enqueue(struct queue *fa, int val) {
+    struct element *elem = malloc(sizeof(*elem));
+    elem->data = val;
+    elem->next = NULL;
+    if (queue_is_empty(*fa)) {
+        fa->tail = elem;
+        fa->head = elem;
+    } else {
+        fa->tail->next = elem;
+        fa->tail = elem;
+    }
+}
+
+int queue_dequeue(struct queue *fa) {
+    if (queue_is_empty(*fa)) {
+        assert(false && "Empty queue, impossible to dequeue.");
+        // do something
+        return -1;
+    } else if (fa->head != fa->tail) {
+        struct element *tmp_elem = fa->head;  // 1
+        int tmp_val = fa->head->data;         // 2
+        fa->head = fa->head->next;            // 3
+        free(tmp_elem);                       // 4
+        return tmp_val;                       // 5
+    } else {
+        struct element *tmp_elem = fa->head;  // 1
+        int tmp_val = fa->head->data;         // 2
+        fa->head = NULL;                      // 3
+        fa->tail = NULL;                      // 3
+        free(tmp_elem);                       // 4
+        return tmp_val;                       // 5
+    }
+}
+
+void queue_destroy(struct queue *fa) {
+    while (!queue_is_empty(*fa)) {
+        queue_dequeue(fa);
+    }
+}
+
+int main() {
+    struct queue fa;  // mémoire est allouée
+    queue_init(&fa);
+    printf("is fa empty? %s\n", queue_is_empty(fa) ? "yes" : "no");
+
+    printf("enqueuing 10\n");
+    queue_enqueue(&fa, 10);
+    printf("enqueuing 20\n");
+    queue_enqueue(&fa, 20);
+    printf("enqueuing 30\n");
+    queue_enqueue(&fa, 30);
+    printf("is fa empty? %s\n", queue_is_empty(fa) ? "yes" : "no");
+
+    int v1 = queue_dequeue(&fa);
+    printf("v1 contains? %d\n", v1);
+    printf("head contains? %d\n", queue_head(fa));
+    printf("tail contains? %d\n", queue_tail(fa));
+    int v2 = queue_dequeue(&fa);
+    int v3 = queue_dequeue(&fa);
+    printf("v2 contains? %d\n", v2);
+    printf("v3 contains? %d\n", v3);
+    printf("is fa empty? %s\n", queue_is_empty(fa) ? "yes" : "no");
+
+    printf("enqueuing 10\n");
+    queue_enqueue(&fa, 10);
+    printf("enqueuing 20\n");
+    queue_enqueue(&fa, 20);
+    printf("enqueuing 30\n");
+    queue_enqueue(&fa, 30);
+    printf("is fa empty? %s\n", queue_is_empty(fa) ? "yes" : "no");
+    printf("destroying\n");
+    queue_destroy(&fa);
+    printf("is fa empty? %s\n", queue_is_empty(fa) ? "yes" : "no");
+
+    return EXIT_SUCCESS;
+}

slides/exemples/quicksort.c

+#include <stdlib.h>
+#include <stdio.h>
+
+void print_tab(int size, int tab[size]) {
+    for (int i = 0; i < size; ++i) {
+        printf("%d ", tab[i]);
+    }
+    printf("\n");
+}
+
+void swap(int *lhs, int *rhs) {
+    int tmp = *lhs;
+    *lhs = *rhs;
+    *rhs = tmp;
+}
+
+int partition(int tab[], int ind_min, int ind_max) {
+    // ind_min == 0
+    // ind_max == 6
+    int pivot = tab[ind_max];  // 12
+    int i = ind_min - 1;       // 0
+    int j = ind_max;           // 6
+    while (i < j) {
+        do {
+            i += 1;  // 0, tab[0] == 1 < 12
+        } while (tab[i] < pivot && i < j);
+        do {
+            j -= 1;  // j == 5, tab[5] < 12
+        } while (tab[j] > pivot && i < j);
+        if (i < j) {
+            swap(&tab[i], &tab[j]);
+        }
+    }
+    swap(&tab[i], &tab[ind_max]);
+
+    return i;
+}
+
+void quicksort(int tab[], int ind_min, int ind_max) {
+    int size = ind_max - ind_min + 1;
+    if (size > 1) {
+        int ind_pivot = partition(tab, ind_min, ind_max);
+        if (ind_pivot - ind_min > 0) {
+            quicksort(tab, ind_min, ind_pivot - 1);
+        }
+        if (ind_max - ind_pivot > 0) {
+            quicksort(tab, ind_pivot + 1, ind_max);
+        }
+    }
+}
+
+int main(int argc, char *argv[]) {
+    int size = argc - 1;
+    int tab[size];
+    for (int i = 0; i < size; ++i) {
+        tab[i] = atoi(argv[i + 1]);
+    }
+    print_tab(size, tab);
+    quicksort(tab, 0, size - 1);
+    print_tab(size, tab);
+}

slides/exemples/selection_sort.c

+#include <stdio.h>
+#include <stdbool.h>
+#include <stdlib.h>
+#include <time.h>
+
+#define SIZE 10
+
+void tab_initialize(int size, double tab[size]) {
+    srand(time(NULL));
+    for (int i = 0; i < size; ++i) {
+        double rdm = (double)rand() / (double)RAND_MAX;
+        tab[i] = rdm;
+    }
+}
+
+void tab_show(int size, double tab[size]) {
+    for (int i = 0; i < size; ++i) {
+        printf("%lf ", tab[i]);
+    }
+    printf("\n");
+}
+
+int tab_find_min_index(int i, int size, double tab[size]) {
+    int i_min = i;
+    for (int j = i + 1; j < size; ++j) {
+        if (tab[j] < tab[i_min]) {
+            i_min = j;
+        }
+    }
+    return i_min;
+}
+
+void swap(int i, int j, double tab[]) {
+    double tmp = tab[i];
+    tab[i] = tab[j];
+    tab[j] = tmp;
+}
+
+void tab_selection_sort(int size, double tab[size]) {
+    for (int i = 0; i < size; ++i) {
+        int i_min = tab_find_min_index(i, size, tab);
+
+        // échange tab[i] et tab[j]
+        if (i_min != i) {
+            swap(i, i_min, tab);
+        }
+    }
+}
+
+bool tab_is_sorted(int size, double tab[size]) {
+    for (int i = 1; i < size; ++i) {
+        if (tab[i - 1] > tab[i]) {
+            return false;
+        }
+    }
+    return true;
+}
+
+int main() {
+    // allocate tab
+    double tab[SIZE];
+    tab_initialize(SIZE, tab);
+    tab_show(SIZE, tab);
+    tab_selection_sort(SIZE, tab);
+    tab_show(SIZE, tab);
+    bool is_sorted = tab_is_sorted(SIZE, tab);
+    printf("Is the tab sorted? %d\n", is_sorted);
+}

slides/exemples/sorted_list.c

+#include <stdlib.h>
+#include <stdio.h>
+#include <stdbool.h>
+
+struct element {
+    int data;
+    struct element *next;
+};
+
+typedef struct element *list;
+
+list list_create() {
+    return NULL;
+}
+
+bool list_is_empty(list l) {
+    return l == NULL;
+}
+
+list list_push(list l, int val) {
+    struct element *e = malloc(sizeof(*e));
+    e->next = NULL;
+    e->data = val;
+    if (list_is_empty(l)) {
+        return e;
+    } else if (val < l->data) {
+        e->next = l;
+        return e;
+    } else {
+        struct element *crt = l;
+        while (NULL != crt && val > crt->next->data) {
+            crt = crt->next;
+        }
+        e->next = crt->next;
+        crt->next = e;
+        return l;
+    }
+}
+
+list list_extract(list l, int val) {
+    struct element *crt = l;
+    struct element *prec = l;
+    if (list_is_empty(l)) {
+        return l;
+    } else if (val == crt->data) {
+        l = crt->next;
+        free(crt);
+        return l;
+    } else {
+        while (crt->next != NULL && crt->data < val) {
+            prec = crt;
+            crt = crt->next;
+        }
+        if (val == crt->data) {
+            prec->next = crt->next;
+            free(crt);
+        }
+        return l;
+    }
+}
+
+struct element *list_search(list l, int val) {
+    struct element *crt = l;
+    while (crt->next != NULL && crt->data < val) {
+        crt = crt->next;
+    }
+    if (val == crt->data) {
+        return crt;
+    }
+    return NULL;
+}
+
+void list_destroy(list *l) {
+    struct element *crt = *l;
+    while (crt != NULL) {
+        struct element *e = crt;
+        crt = crt->next;
+        free(e);
+    }
+    *l = NULL;
+}
+
+void print_safe(struct element *e) {
+    if (e != NULL) {
+        printf("%d\n", e->data);
+    }
+}
+
+int main() {
+    list l = list_create();
+    l = list_extract(l, 2);
+    l = list_push(l, 10);
+    l = list_push(l, 0);
+    l = list_push(l, 2);
+    printf("first %d\n", l->data);
+    printf("second %d\n", l->next->data);
+    printf("third %d\n", l->next->next->data);
+    struct element *e = list_search(l, 2);
+    print_safe(e);
+    /*printf("two %d\n", e->data);*/
+    e = list_search(l, 10);
+    print_safe(e);
+    /*printf("ten %d\n", e->data);*/
+    e = list_search(l, 0);
+    print_safe(e);
+    /*printf("zero %d\n", e->data);*/
+    e = list_search(l, 3);
+    print_safe(e);
+    /*printf("absent %p\n", e);*/
+    e = list_search(l, 190);
+    print_safe(e);
+    /*printf("bigger %p\n", e);*/
+    e = list_search(l, -1);
+    print_safe(e);
+    /*printf("smaller %p\n", e);*/
+    l = list_extract(l, 2);
+    l = list_extract(l, 100);
+    printf("first %d\n", l->data);
+    printf("second %d\n", l->next->data);
+    l = list_extract(l, 0);
+    printf("first %d\n", l->data);
+    list_destroy(&l);
+}

slides/exemples/stack.c

+#include <stdio.h>
+#include <stdlib.h>
+#include <stdbool.h>
+#include <assert.h>
+
+#define MAX_CAPACITY 5
+
+struct stack {
+    int top;
+    int data[MAX_CAPACITY];
+};
+
+void stack_init(struct stack *s) {
+    s->top = -1;
+}
+
+bool stack_is_empty(struct stack s) {
+    return s.top == -1;
+}
+
+void stack_push(struct stack *s, int val) {
+    assert(s->top < MAX_CAPACITY - 1);
+    if (s->top != MAX_CAPACITY - 1) {
+        s->top += 1;
+        s->data[s->top] = val;
+    }
+}
+
+/*int stack_pop(struct stack *s) {*/
+/*    if (!stack_is_empty(*s)) {*/
+/*        int tmp = s->data[s->top];*/
+/*        s->top -= 1;*/
+/*        return tmp;*/
+/*    }*/
+/*}*/
+
+/*void stack_pop(struct stack *s, int *val) {*/
+/*    if (!stack_is_empty(*s)) {*/
+/*        *val = s->data[s->top];*/
+/*        s->top -= 1;*/
+/*    }*/
+/*}*/
+
+int *stack_pop(struct stack *s) {
+    assert(!stack_is_empty(*s));
+
+    if (!stack_is_empty(*s)) {
+        int *val = &(s->data[s->top]);
+        s->top -= 1;
+        return val;
+    } else {
+        return NULL;
+    }
+}
+
+int *stack_peek(struct stack s) {
+    if (!stack_is_empty(s)) {
+        int *val = &(s.data[s.top]);
+        return val;
+    } else {
+        return NULL;
+    }
+}
+
+void stack_print(struct stack s) {
+    for (int i = s.top; i >= 0; --i) {
+        printf("%d\n", s.data[i]);
+    }
+}
+
+int main() {
+    struct stack s;
+    stack_init(&s);
+    stack_print(s);
+
+    printf("s.top = %d\n", s.top);
+    printf("is_empty(): %s\n", stack_is_empty(s) ? "True" : "False");
+    stack_push(&s, 10);
+    stack_push(&s, 20);
+    stack_push(&s, 30);
+    stack_push(&s, 40);
+    stack_push(&s, 50);
+    stack_push(&s, 60);
+    printf("is_empty(): %s\n", stack_is_empty(s) ? "True" : "False");
+    stack_print(s);
+    /*int val = -1;*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+    /*stack_pop(&s, &val);*/
+    /*printf("popped value = %d\n", val);*/
+
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+    /*printf("popped value = %d\n", stack_pop(&s));*/
+
+    printf("peeked value = %d\n", *stack_peek(s));
+    printf("peeked value = %d\n", *stack_peek(s));
+    stack_print(s);
+
+    printf("popped value = %d\n", *stack_pop(&s));
+    printf("popped value = %d\n", *stack_pop(&s));
+    printf("popped value = %d\n", *stack_pop(&s));
+    printf("popped value = %d\n", *stack_pop(&s));
+    printf("popped value = %d\n", *stack_pop(&s));
+    /*printf("popped value = %d\n", *stack_pop(&s));*/
+    stack_print(s);
+    printf("is_empty(): %s\n", stack_is_empty(s) ? "True" : "False");
+
+    return EXIT_SUCCESS;
+}

slides/exemples/strlen.c

+size_t strlen(char *str) {
+    int i = 0;
+    while (str[i] != '\0') {
+        i += 1;
+    }
+    return i;
+}

slides/exemples/sum.c

+#include <stdio.h>
+
+int sum(int n) {
+    if (n <= 1) {
+        return 1;
+    } else {
+        return n + sum(n - 1);
+    }
+}
+
+int sum_imp(int n) {
+    int i = 1;
+    int sum = 0;
+    while (i <= n) {
+        sum += i;
+        i += 1;
+    }
+    return sum;
+}
+
+int main() {
+    int n = 100;
+    printf("Sum(%d) = %d, theoretical = %d\n", n, sum(n), n * (n + 1) / 2);
+}

slides/exemples/table_list.c

+#include <stdio.h>
+
+struct key_t {
+    int k;
+};
+
+struct value_t {
+    int v;
+};
+
+struct key_value_t {
+    struct key_t key;
+    struct value_t value;
+};
+
+struct elem {
+    struct key_value_t kv;
+    struct elem *next;
+};
+
+struct table {
+    struct elem *head;
+};
+
+struct value_t *sequential(struct table tab, struct key_t key) {
+    struct elem *e = tab.head;
+    while (e != NULL) {
+        if (e->kv.key.k == key.k) {
+            return &(e->kv.value);
+        }
+        e = e->next;
+    }
+    return NULL;
+}
+
+int main() {
+    int w = 5;
+    /*int *v = NULL;*/
+    int *v = &w;
+    printf("%d\n", *v);
+}

slides/exemples/while.c

+#include <math.h>
+#include <stdbool.h>
+#include <stdio.h>
+
+bool is_prime(int number) {
+  for (int i = 2; i <= sqrt(number); i++) {
+    if (0 == number % i) {
+      return false;
+    }
+  }
+  return true;
+}
+
+int main() {
+  int max_number = 100000;
+  for (int i = 2; i <= max_number; ++i) { // max_number * sqrt(max_number)
+    if (is_prime(i)) {
+      printf("%d\n", i);
+    }
+  }
+  return 0;
+}

slides/figs/PageRanks-Example.svg

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slides/figs/Social_Network.svg

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