# include iostream include cmath include GL glut include GL GL using nam

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169``` ```#include #include #include #include using namespace std; double f(double x, double y) { double f; f = y*y - 2 * x*y - 3 * x*x; return f; } double g(double x, double y) { double g; g = y*y - x*y - 2 * x*x - 4; return g; } double f_diff_x(double x, double y) { double f_diff_x; f_diff_x = -2 * y - 6 * x; return f_diff_x; } double f_diff_y(double x, double y) { double f_diff_y; f_diff_y = 2 * y - 2 * x; return f_diff_y; } double g_diff_x(double x, double y) { double g_diff_x; g_diff_x = -y - 4 * x; return g_diff_x; } double g_diff_y(double x, double y) { double g_diff_y; g_diff_y = 2 * y - x; return g_diff_y; } void display() { //координатная плоскость glColor3f(0.0, 1.0, 0.0); glBegin(GL_LINES); glVertex2f(-550, 0); glVertex2f(550, 0); glEnd(); glBegin(GL_LINES); glVertex2f(0, 150); glVertex2f(0, -150); glEnd(); glPointSize(2.0); for (int i = -550; i < 550; i = i + 10) { if (i == 0) { glPointSize(4.0); glBegin(GL_POINTS); glColor3f(1.0, 1.0, 1.0); glVertex2d(i, 0); glEnd(); } else { glPointSize(2.0); glBegin(GL_POINTS); glColor3f(1.0, 1.0, 1.0); glVertex2d(i, 0); glEnd(); } } for (int i = -150; i < 150; i = i + 10) { if (i == 0) { glPointSize(4.0); glBegin(GL_POINTS); glColor3f(1.0, 1.0, 1.0); glVertex2d(0, i); glEnd(); } else { glPointSize(2.0); glBegin(GL_POINTS); glColor3f(1.0, 1.0, 1.0); glVertex2d(0, i); glEnd(); } } double x0[2] = { 15, 10 }; //начальное приближение double xk = x0[0]; double yk = x0[1]; double _xk; //промежуточное приближение double qk, pk, x_next, y_next, max; double eps = 0.0001; int t = 10; do { _xk = xk - f(xk, yk) / f_diff_x(xk, yk); qk = (g(_xk, yk)*f_diff_x(xk, yk)) / (f_diff_x(xk, yk)*g_diff_y(_xk, yk) - f_diff_y(xk, yk)*g_diff_x(_xk, yk)); pk = (f(xk, yk) - qk*f_diff_y(xk, yk)) / f_diff_x(xk, yk); x_next = xk - pk; y_next = yk - qk; glPointSize(3.0); glBegin(GL_POINTS); glColor3f(0.0, 0.0, 1.0); glVertex2d(xk * t, yk * t); glVertex2d(x_next * t, y_next * t); glEnd(); glBegin(GL_LINE_STRIP); glColor3f(1.0, 0.0, 0.0); glVertex2d(xk * t, yk * t); glVertex2d(x_next * t, y_next * t); glEnd(); glBegin(GL_LINE_STRIP); glColor3f(1.0, 0.0, 1.0); glVertex2d(xk * t, yk * t); glVertex2d(xk * t, 0); glEnd(); glBegin(GL_LINE_STRIP); glColor3f(1.0, 0.0, 1.0); glVertex2d(xk * t, yk * t); glVertex2d(0, yk * t); glEnd(); printf("curr: (%.5f ; %.5f)\n", xk, yk); printf("next: (%.5f ; %.5f)\n", x_next, y_next); xk = x_next; yk = y_next; max = (abs(pk) > abs(qk)) ? abs(pk) : abs(qk); cout << endl; } while (max > eps); glFlush(); } int main(int argc, char **argv) { glutInit(&argc, argv); glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); glutInitWindowSize(600*2, 165*2); glutInitWindowPosition(0, 0); glutCreateWindow("Sin"); glClearColor(1.0, 1.0, 1.0, 1.0); glMatrixMode(GL_PROJECTION); glLoadIdentity(); glOrtho(-600.0, 600.0, -200.0, 200.0, -1.0, 1.0); glutDisplayFunc(display); glutMainLoop(); return 0; } ```