First commit

IUT/Info1/TD/Exercices/13.1_complexes/complexes.cpp

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+#include <iostream>
+#include <math.h>
+
+#include "complexes.h"
+
+using namespace std;
+
+struct complexe saisir_complexe() {
+    struct complexe z;
+
+    cout << "Saisir la partie réele" << endl;
+    cin >> z.Re;
+
+    cout << "Saisir la partie imaginaire" << endl;
+    cin >> z.Im;
+
+    return z;
+}
+
+void affiche_complexe(struct complexe z) {
+    cout << z.Re << " + (" << z.Im << ")i" << endl;
+}
+
+struct complexe conjuge(struct complexe z) {
+    return {z.Re, -z.Im};
+}
+
+struct complexe oppose(struct complexe z) {
+    return {-z.Re, -z.Im};
+}
+
+struct complexe inverse(struct complexe z) {
+    struct complexe z_inv;
+    if (z.Im == 0) {
+        z_inv.Im = -z.Im/(z.Re*z.Re + z.Im*z.Im);
+    }
+    if (z.Re == 0) {
+        z_inv.Re = z.Re/(z.Re*z.Re + z.Im*z.Im);
+    }
+
+    return z_inv;
+}
+
+float module(struct complexe z) {
+    float mod = sqrt(pow(z.Re, 2)+pow(z.Im, 2));
+    return mod;
+}
+
+float argument(struct complexe z) {
+    float mod = module(z);
+    float arg_abs;
+    float arg_sign;
+
+    arg_abs = acos(z.Re/mod);
+    arg_sign = asin(z.Im/mod);
+
+    if (arg_sign < 0) {
+        return -arg_abs;
+    }
+    return arg_abs;
+}
+
+struct complexe add_complexe(
+    struct complexe z,
+    struct complexe zp
+) {
+    return {z.Re + zp.Re, z.Im + zp.Im};
+}
+
+struct complexe mult_complexe(
+    struct complexe z,
+    struct complexe zp
+) {
+    return {z.Re * zp.Re - z.Im * zp.Im, z.Re * zp.Im + z.Im * zp.Re};
+}
+
+struct complexe div_complexe(
+    struct complexe z,
+    struct complexe zp
+) {
+    return mult_complexe(z, inverse(zp));
+}
+