Selamat Pagi rekan-rekan sekalian...kali ini contoh program yang aku buat agak sedikit lain tetapi masih menggunakan matematika rotasi, kalo diinget-inget besar sekali jasa matematika yang satu ini yah...
Kali ini artikel akan membahas tentang contoh program yang akan menampilkan sebuah botol 3D seperti gambar di bawah ini. Jika sebelumnya aku membuat bola 3D dan donat 3D dengan merotasikan vertex-nya, kali ini juga tidak berbeda, rotasikan vertex-nya dengan rumus rotasi.
Ada dua fungsi yang aku gunakan untuk membuat botol 3D, pertama load untuk men-setting nilai awal vertex botol.
void Load_Vertex_Botol()
{
double pi = 3.1415926535;
d_sudut = 10.0f;
float lebar_tutup = 0.3f;
float tinggi_tutup = 0.35f;
float d_siku_siku = 0.05f;
float lebar_leher = 0.25f;
float tinggi_leher = 1.2f;
float R1 = 0.8f;
sudut_LL_botol = 55.0f;
d_sudut_LL_botol = 5.0f;
float tinggi_body = 1.8f;
float R2 = 0.3f;
sudut_LA_botol = 90.0f;
d_sudut_LA_botol = 10.0f;
dxR2 = R1 - R2;
dyR2 = -tinggi_body;
float JT_tutup_botol;
float JT, JT_leher, JT_LL, JT_tinggi_body, JT_LA, JT_alas;
awal_tutup_botol[0].VX = 0.0f;
awal_tutup_botol[0].VY = tinggi_tutup + tinggi_leher + (R1 * (float)(float)sin(sudut_LL_botol / 180 * pi));
awal_tutup_botol[0].VZ = 0.0f;
awal_tutup_botol[1].VX = lebar_tutup - d_siku_siku;
awal_tutup_botol[1].VY = tinggi_tutup + tinggi_leher + (R1 * (float)sin(sudut_LL_botol / 180 * pi));
awal_tutup_botol[1].VZ = 0.0f;
awal_tutup_botol[2].VX = lebar_tutup;
awal_tutup_botol[2].VY = tinggi_tutup + tinggi_leher + (R1 * (float)sin(sudut_LL_botol / 180 * pi)) - d_siku_siku;
awal_tutup_botol[2].VZ = 0.0f;
awal_tutup_botol[3].VX = lebar_tutup;
awal_tutup_botol[3].VY = tinggi_leher + (R1 * (float)sin(sudut_LL_botol / 180 * pi));
awal_tutup_botol[3].VZ = 0.0f;
awal_tutup_botol[4].VX = lebar_leher;
awal_tutup_botol[4].VY = tinggi_leher + (R1 * (float)sin(sudut_LL_botol / 180 * pi));
awal_tutup_botol[4].VZ = 0.0f;
awal_leher_botol[0].VX = lebar_leher;
awal_leher_botol[0].VY = tinggi_leher + (R1 * (float)sin(sudut_LL_botol / 180 * pi));
awal_leher_botol[0].VZ = 0.0f;
awal_leher_botol[1].VX = R1 * (float)cos(sudut_LL_botol / 180 * pi);
awal_leher_botol[1].VY = R1 * (float)sin(sudut_LL_botol / 180 * pi);
awal_leher_botol[1].VZ = 0.0f;
awal_LL_botol.VX = R1;
awal_LL_botol.VY = 0.0f;
awal_LL_botol.VZ = 0.0f;
awal_body_botol[0].VX = R1;
awal_body_botol[0].VY = 0.0f;
awal_body_botol[0].VZ = 0.0f;
awal_body_botol[1].VX = R1;
awal_body_botol[1].VY = -tinggi_body;
awal_body_botol[1].VZ = 0.0f;
awal_LA_botol.VX = 0.0f;
awal_LA_botol.VY = -R2;
awal_LA_botol.VZ = 0.0f;
awal_alas_botol[0].VX = 0.0f;
awal_alas_botol[0].VY = -(tinggi_body + R2);
awal_alas_botol[0].VZ = 0.0f;
awal_alas_botol[1].VX = R1 - R2;
awal_alas_botol[1].VY = -(tinggi_body + R2);
awal_alas_botol[1].VZ = 0.0f;
JT_tutup_botol = (lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f)) + tinggi_tutup + (lebar_tutup - lebar_leher);
TK_BT_atas[0].Y = 1.0f;
TK_BT_atas[1].Y = 1.0f - ((lebar_tutup - d_siku_siku) / JT_tutup_botol);
TK_BT_atas[2].Y = 1.0f - ((lebar_tutup - d_siku_siku) / JT_tutup_botol);
TK_BT_atas[3].Y = 1.0f;
TK_BT_siku[0].Y = 1.0f - ((lebar_tutup - d_siku_siku) / JT_tutup_botol);
TK_BT_siku[1].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f))) / JT_tutup_botol);
TK_BT_siku[2].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f))) / JT_tutup_botol);
TK_BT_siku[3].Y = 1.0f - ((lebar_tutup - d_siku_siku) / JT_tutup_botol);
TK_BT_samping[0].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f))) / JT_tutup_botol);
TK_BT_samping[1].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f)) + tinggi_tutup) / JT_tutup_botol);
TK_BT_samping[2].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f)) + tinggi_tutup) / JT_tutup_botol);
TK_BT_samping[3].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f))) / JT_tutup_botol);
TK_BT_bawah[0].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f)) + tinggi_tutup) / JT_tutup_botol);
TK_BT_bawah[1].Y = 0.0f;
TK_BT_bawah[2].Y = 0.0f;
TK_BT_bawah[3].Y = 1.0f - (((lebar_tutup - d_siku_siku) + sqrt(2 * pow(d_siku_siku, 2.0f)) + tinggi_tutup) / JT_tutup_botol);
JT_leher = sqrt(pow((awal_leher_botol[1].VX - awal_leher_botol[0].VX), 2.0f) + pow(tinggi_leher, 2.0f));
JT_LL = (sudut_LL_botol / d_sudut_LL_botol) * (2.0f * R1 * (float)sin(0.5f * d_sudut_LL_botol / 180.0f * pi));
JT_tinggi_body = tinggi_body;
JT_LA = (sudut_LA_botol / d_sudut_LA_botol) * (2.0f * R2 * (float)sin(0.5f * d_sudut_LA_botol / 180.0f * pi));
JT_alas = R1 - R2;
JT = JT_leher + JT_LL + JT_tinggi_body + JT_LA + JT_alas;
d_TK_x = 1.0f / (360.0f / d_sudut);
TK_leher[0].Y = 1.0f;
TK_leher[1].Y = 1.0f - (JT_leher / JT);
TK_leher[2].Y = 1.0f - (JT_leher / JT);
TK_leher[3].Y = 1.0f;
d_TK_LL_y = (JT_LL / JT) / (sudut_LL_botol / d_sudut_LL_botol);
awal_TK_LL_y = 1.0f - ((JT_leher + JT_LL) / JT);
TK_BS[0].Y = 1.0f - ((JT_leher + JT_LL) / JT);
TK_BS[1].Y = 1.0f - ((JT_leher + JT_LL + JT_tinggi_body) / JT);
TK_BS[2].Y = 1.0f - ((JT_leher + JT_LL + JT_tinggi_body) / JT);
TK_BS[3].Y = 1.0f - ((JT_leher + JT_LL) / JT);
d_TK_LA_y = (JT_LA / JT) / (sudut_LA_botol / d_sudut_LA_botol);
awal_TK_LA_y = 1.0f - ((JT_leher + JT_LL + JT_tinggi_body + JT_LA) / JT);
TK_BA[0].Y = 0.0f;
TK_BA[1].Y = 1.0f - ((JT_leher + JT_LL + JT_tinggi_body + JT_LA) / JT);
TK_BA[2].Y = 1.0f - ((JT_leher + JT_LL + JT_tinggi_body + JT_LA) / JT);
TK_BA[3].Y = 0.0f;
}
Kedua fungsi untuk membuat botol.
void Botol_Solid()
{
int i, loop_i;
double pi = 3.1415926535;
float temp_sudut1, temp_sudut2;
int j, loop_j;
float temp_sudut_lengkung1, temp_sudut_lengkung2;
float temp_Botol_LL_X, temp_Botol_LL_Y, temp_Botol_LL_Z;
int k, loop_k;
float temp_sudut_LA1, temp_sudut_LA2;
float temp_Botol_LA_X, temp_Botol_LA_Y, temp_Botol_LA_Z;
temp_sudut1 = 0.0f;
temp_sudut2 = d_sudut;
loop_i = (int)(360.0 / d_sudut);
loop_j = (int)(sudut_LL_botol / d_sudut_LL_botol);
temp_sudut_lengkung1 = 0.0f;
temp_sudut_lengkung2 = d_sudut_LL_botol;
loop_k = (int)(sudut_LA_botol / d_sudut_LA_botol);
temp_sudut_LA1 = 0.0f;
temp_sudut_LA2 = d_sudut_LA_botol;
TK_BT_atas[0].X = 0.0f;
TK_BT_atas[1].X = 0.0f;
TK_BT_atas[2].X = d_TK_x;
TK_BT_atas[3].X = d_TK_x;
TK_BT_siku[0].X = 0.0f;
TK_BT_siku[1].X = 0.0f;
TK_BT_siku[2].X = d_TK_x;
TK_BT_siku[3].X = d_TK_x;
TK_BT_samping[0].X = 0.0f;
TK_BT_samping[1].X = 0.0f;
TK_BT_samping[2].X = d_TK_x;
TK_BT_samping[3].X = d_TK_x;
TK_BT_bawah[0].X = 0.0f;
TK_BT_bawah[1].X = 0.0f;
TK_BT_bawah[2].X = d_TK_x;
TK_BT_bawah[3].X = d_TK_x;
TK_leher[0].X = 0.0f;
TK_leher[1].X = 0.0f;
TK_leher[2].X = d_TK_x;
TK_leher[3].X = d_TK_x;
TK_LL[0].X = 0.0f;
TK_LL[0].Y = awal_TK_LL_y;
TK_LL[1].X = 0.0f;
TK_LL[1].Y = awal_TK_LL_y + d_TK_LL_y;
TK_LL[2].X = d_TK_x;
TK_LL[2].Y = awal_TK_LL_y + d_TK_LL_y;
TK_LL[3].X = d_TK_x;
TK_LL[3].Y = awal_TK_LL_y;
TK_BS[0].X = 0.0f;
TK_BS[1].X = 0.0f;
TK_BS[2].X = d_TK_x;
TK_BS[3].X = d_TK_x;
TK_LA[0].X = 0.0f;
TK_LA[0].Y = awal_TK_LA_y;
TK_LA[1].X = 0.0f;
TK_LA[1].Y = awal_TK_LA_y + d_TK_LA_y;
TK_LA[2].X = d_TK_x;
TK_LA[2].Y = awal_TK_LA_y + d_TK_LA_y;
TK_LA[3].X = d_TK_x;
TK_LA[3].Y = awal_TK_LA_y;
TK_BA[0].X = 0.0f;
TK_BA[1].X = 0.0f;
TK_BA[2].X = d_TK_x;
TK_BA[3].X = d_TK_x;
glPushMatrix();
for (i = 1; i <= loop_i; i++)
{
glBindTexture(GL_TEXTURE_2D, kulit_botol_tutup);
Botol_Tutup[0].VX = awal_tutup_botol[0].VX;
Botol_Tutup[0].VY = awal_tutup_botol[0].VY;
Botol_Tutup[0].VZ = awal_tutup_botol[0].VZ;
Botol_Tutup[1].VX = (awal_tutup_botol[1].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[1].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Tutup[1].VY = awal_tutup_botol[1].VY;
Botol_Tutup[1].VZ = (-awal_tutup_botol[1].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[1].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Tutup[8].VX = (awal_tutup_botol[1].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[1].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Tutup[8].VY = awal_tutup_botol[1].VY;
Botol_Tutup[8].VZ = (-awal_tutup_botol[1].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[1].VZ * (float)cos(temp_sudut2 / 180 * pi));
Botol_Tutup[2].VX = (awal_tutup_botol[2].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[2].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Tutup[2].VY = awal_tutup_botol[2].VY;
Botol_Tutup[2].VZ = (-awal_tutup_botol[2].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[2].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Tutup[7].VX = (awal_tutup_botol[2].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[2].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Tutup[7].VY = awal_tutup_botol[2].VY;
Botol_Tutup[7].VZ = (-awal_tutup_botol[2].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[2].VZ * (float)cos(temp_sudut2 / 180 * pi));
///
Botol_Tutup[3].VX = (awal_tutup_botol[3].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[3].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Tutup[3].VY = awal_tutup_botol[3].VY;
Botol_Tutup[3].VZ = (-awal_tutup_botol[3].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[3].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Tutup[6].VX = (awal_tutup_botol[3].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[3].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Tutup[6].VY = awal_tutup_botol[3].VY;
Botol_Tutup[6].VZ = (-awal_tutup_botol[3].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[3].VZ * (float)cos(temp_sudut2 / 180 * pi));
//
Botol_Tutup[4].VX = (awal_tutup_botol[4].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[4].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Tutup[4].VY = awal_tutup_botol[4].VY;
Botol_Tutup[4].VZ = (-awal_tutup_botol[4].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_tutup_botol[4].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Tutup[5].VX = (awal_tutup_botol[4].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[4].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Tutup[5].VY = awal_tutup_botol[4].VY;
Botol_Tutup[5].VZ = (-awal_tutup_botol[4].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_tutup_botol[4].VZ * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_BT_atas[0].X, TK_BT_atas[0].Y);
glVertex3f(Botol_Tutup[0].VX, Botol_Tutup[0].VY, Botol_Tutup[0].VZ);
glTexCoord2f(TK_BT_atas[1].X, TK_BT_atas[1].Y);
glVertex3f(Botol_Tutup[1].VX, Botol_Tutup[1].VY, Botol_Tutup[1].VZ);
glTexCoord2f(TK_BT_atas[2].X, TK_BT_atas[2].Y);
glVertex3f(Botol_Tutup[8].VX, Botol_Tutup[8].VY, Botol_Tutup[8].VZ);
glTexCoord2f(TK_BT_atas[3].X, TK_BT_atas[3].Y);
glVertex3f(Botol_Tutup[0].VX, Botol_Tutup[0].VY, Botol_Tutup[0].VZ);
glEnd();
glBegin(GL_POLYGON);
glTexCoord2f(TK_BT_siku[0].X, TK_BT_siku[0].Y);
glVertex3f(Botol_Tutup[1].VX, Botol_Tutup[1].VY, Botol_Tutup[1].VZ);
glTexCoord2f(TK_BT_siku[1].X, TK_BT_siku[1].Y);
glVertex3f(Botol_Tutup[2].VX, Botol_Tutup[2].VY, Botol_Tutup[2].VZ);
glTexCoord2f(TK_BT_siku[2].X, TK_BT_siku[2].Y);
glVertex3f(Botol_Tutup[7].VX, Botol_Tutup[7].VY, Botol_Tutup[7].VZ);
glTexCoord2f(TK_BT_siku[3].X, TK_BT_siku[3].Y);
glVertex3f(Botol_Tutup[8].VX, Botol_Tutup[8].VY, Botol_Tutup[8].VZ);
glEnd();
glBegin(GL_POLYGON);
glTexCoord2f(TK_BT_samping[0].X, TK_BT_samping[0].Y);
glVertex3f(Botol_Tutup[2].VX, Botol_Tutup[2].VY, Botol_Tutup[2].VZ);
glTexCoord2f(TK_BT_samping[1].X, TK_BT_samping[1].Y);
glVertex3f(Botol_Tutup[3].VX, Botol_Tutup[3].VY, Botol_Tutup[3].VZ);
glTexCoord2f(TK_BT_samping[2].X, TK_BT_samping[2].Y);
glVertex3f(Botol_Tutup[6].VX, Botol_Tutup[6].VY, Botol_Tutup[6].VZ);
glTexCoord2f(TK_BT_samping[3].X, TK_BT_samping[3].Y);
glVertex3f(Botol_Tutup[7].VX, Botol_Tutup[7].VY, Botol_Tutup[7].VZ);
glEnd();
glBegin(GL_POLYGON);
glTexCoord2f(TK_BT_bawah[0].X, TK_BT_bawah[0].Y);
glVertex3f(Botol_Tutup[3].VX, Botol_Tutup[3].VY, Botol_Tutup[3].VZ);
glTexCoord2f(TK_BT_bawah[1].X, TK_BT_bawah[1].Y);
glVertex3f(Botol_Tutup[4].VX, Botol_Tutup[4].VY, Botol_Tutup[4].VZ);
glTexCoord2f(TK_BT_bawah[2].X, TK_BT_bawah[2].Y);
glVertex3f(Botol_Tutup[5].VX, Botol_Tutup[5].VY, Botol_Tutup[5].VZ);
glTexCoord2f(TK_BT_bawah[3].X, TK_BT_bawah[3].Y);
glVertex3f(Botol_Tutup[6].VX, Botol_Tutup[6].VY, Botol_Tutup[6].VZ);
glEnd();
glBindTexture(GL_TEXTURE_2D, kulit_botol_body);
Botol_Leher[0].VX = (awal_leher_botol[0].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_leher_botol[0].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Leher[0].VY = awal_leher_botol[0].VY;
Botol_Leher[0].VZ = (-awal_leher_botol[0].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_leher_botol[0].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Leher[1].VX = (awal_leher_botol[1].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_leher_botol[1].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Leher[1].VY = awal_leher_botol[1].VY;
Botol_Leher[1].VZ = (-awal_leher_botol[1].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_leher_botol[1].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Leher[2].VX = (awal_leher_botol[1].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_leher_botol[1].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Leher[2].VY = awal_leher_botol[1].VY;
Botol_Leher[2].VZ = (-awal_leher_botol[1].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_leher_botol[1].VZ * (float)cos(temp_sudut2 / 180 * pi));
Botol_Leher[3].VX = (awal_leher_botol[0].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_leher_botol[0].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Leher[3].VY = awal_leher_botol[0].VY;
Botol_Leher[3].VZ = (-awal_leher_botol[0].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_leher_botol[0].VZ * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_leher[0].X, TK_leher[0].Y);
glVertex3f(Botol_Leher[0].VX, Botol_Leher[0].VY, Botol_Leher[0].VZ);
glTexCoord2f(TK_leher[1].X, TK_leher[1].Y);
glVertex3f(Botol_Leher[1].VX, Botol_Leher[1].VY, Botol_Leher[1].VZ);
glTexCoord2f(TK_leher[2].X, TK_leher[2].Y);
glVertex3f(Botol_Leher[2].VX, Botol_Leher[2].VY, Botol_Leher[2].VZ);
glTexCoord2f(TK_leher[3].X, TK_leher[3].Y);
glVertex3f(Botol_Leher[3].VX, Botol_Leher[3].VY, Botol_Leher[3].VZ);
glEnd();
for (j = 1; j <= loop_j; j++)
{
Botol_LL[0].VX = (awal_LL_botol.VX * (float)cos(temp_sudut_lengkung1 / 180 * pi)) + (-awal_LL_botol.VY * (float)sin(temp_sudut_lengkung1 / 180 * pi));
Botol_LL[0].VY = (awal_LL_botol.VX * (float)sin(temp_sudut_lengkung1 / 180 * pi)) + (awal_LL_botol.VY * (float)cos(temp_sudut_lengkung1 / 180 * pi));
Botol_LL[0].VZ = awal_LL_botol.VZ;
Botol_LL[1].VX = (awal_LL_botol.VX * (float)cos(temp_sudut_lengkung2 / 180 * pi)) + (-awal_LL_botol.VY * (float)sin(temp_sudut_lengkung2 / 180 * pi));
Botol_LL[1].VY = (awal_LL_botol.VX * (float)sin(temp_sudut_lengkung2 / 180 * pi)) + (awal_LL_botol.VY * (float)cos(temp_sudut_lengkung2 / 180 * pi));
Botol_LL[1].VZ = awal_LL_botol.VZ;
temp_Botol_LL_X = Botol_LL[0].VX;
temp_Botol_LL_Y = Botol_LL[0].VY;
temp_Botol_LL_Z = Botol_LL[0].VZ;
Botol_LL[0].VX = (temp_Botol_LL_X * (float)cos(temp_sudut1 / 180 * pi)) + (temp_Botol_LL_Z * (float)sin(temp_sudut1 / 180 * pi));
Botol_LL[0].VY = temp_Botol_LL_Y;
Botol_LL[0].VZ = (-temp_Botol_LL_X * (float)sin(temp_sudut1 / 180 * pi)) + (temp_Botol_LL_Z * (float)cos(temp_sudut1 / 180 * pi));
Botol_LL[3].VX = (temp_Botol_LL_X * (float)cos(temp_sudut2 / 180 * pi)) + (temp_Botol_LL_Z * (float)sin(temp_sudut2 / 180 * pi));
Botol_LL[3].VY = temp_Botol_LL_Y;
Botol_LL[3].VZ = (-temp_Botol_LL_X * (float)sin(temp_sudut2 / 180 * pi)) + (temp_Botol_LL_Z * (float)cos(temp_sudut2 / 180 * pi));
temp_Botol_LL_X = Botol_LL[1].VX;
temp_Botol_LL_Y = Botol_LL[1].VY;
temp_Botol_LL_Z = Botol_LL[1].VZ;
Botol_LL[1].VX = (temp_Botol_LL_X * (float)cos(temp_sudut1 / 180 * pi)) + (temp_Botol_LL_Z * (float)sin(temp_sudut1 / 180 * pi));
Botol_LL[1].VY = temp_Botol_LL_Y;
Botol_LL[1].VZ = (-temp_Botol_LL_X * (float)sin(temp_sudut1 / 180 * pi)) + (temp_Botol_LL_Z * (float)cos(temp_sudut1 / 180 * pi));
Botol_LL[2].VX = (temp_Botol_LL_X * (float)cos(temp_sudut2 / 180 * pi)) + (temp_Botol_LL_Z * (float)sin(temp_sudut2 / 180 * pi));
Botol_LL[2].VY = temp_Botol_LL_Y;
Botol_LL[2].VZ = (-temp_Botol_LL_X * (float)sin(temp_sudut2 / 180 * pi)) + (temp_Botol_LL_Z * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_LL[0].X, TK_LL[0].Y);
glVertex3f(Botol_LL[0].VX, Botol_LL[0].VY, Botol_LL[0].VZ);
glTexCoord2f(TK_LL[1].X, TK_LL[1].Y);
glVertex3f(Botol_LL[1].VX, Botol_LL[1].VY, Botol_LL[1].VZ);
glTexCoord2f(TK_LL[2].X, TK_LL[2].Y);
glVertex3f(Botol_LL[2].VX, Botol_LL[2].VY, Botol_LL[2].VZ);
glTexCoord2f(TK_LL[3].X, TK_LL[3].Y);
glVertex3f(Botol_LL[3].VX, Botol_LL[3].VY, Botol_LL[3].VZ);
glEnd();
temp_sudut_lengkung1 = temp_sudut_lengkung1 + d_sudut_LL_botol;
temp_sudut_lengkung2 = temp_sudut_lengkung2 + d_sudut_LL_botol;
TK_LL[0].Y = TK_LL[0].Y + d_TK_LL_y;
TK_LL[1].Y = TK_LL[1].Y + d_TK_LL_y;
TK_LL[2].Y = TK_LL[2].Y + d_TK_LL_y;
TK_LL[3].Y = TK_LL[3].Y + d_TK_LL_y;
}
temp_sudut_lengkung1 = 0.0f;
temp_sudut_lengkung2 = d_sudut_LL_botol;
Botol_BS[0].VX = (awal_body_botol[0].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_body_botol[0].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_BS[0].VY = awal_body_botol[0].VY;
Botol_BS[0].VZ = (-awal_body_botol[0].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_body_botol[0].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_BS[1].VX = (awal_body_botol[1].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_body_botol[1].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_BS[1].VY = awal_body_botol[1].VY;
Botol_BS[1].VZ = (-awal_body_botol[1].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_body_botol[1].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_BS[2].VX = (awal_body_botol[1].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_body_botol[1].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_BS[2].VY = awal_body_botol[1].VY;
Botol_BS[2].VZ = (-awal_body_botol[1].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_body_botol[1].VZ * (float)cos(temp_sudut2 / 180 * pi));
Botol_BS[3].VX = (awal_body_botol[0].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_body_botol[0].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_BS[3].VY = awal_body_botol[0].VY;
Botol_BS[3].VZ = (-awal_body_botol[0].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_body_botol[0].VZ * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_BS[0].X, TK_BS[0].Y);
glVertex3f(Botol_BS[0].VX, Botol_BS[0].VY, Botol_BS[0].VZ);
glTexCoord2f(TK_BS[1].X, TK_BS[1].Y);
glVertex3f(Botol_BS[1].VX, Botol_BS[1].VY, Botol_BS[1].VZ);
glTexCoord2f(TK_BS[2].X, TK_BS[2].Y);
glVertex3f(Botol_BS[2].VX, Botol_BS[2].VY, Botol_BS[2].VZ);
glTexCoord2f(TK_BS[3].X, TK_BS[3].Y);
glVertex3f(Botol_BS[3].VX, Botol_BS[3].VY, Botol_BS[3].VZ);
glEnd();
for (k = 1; k <= loop_k; k++)
{
Botol_LA[0].VX = (awal_LA_botol.VX * (float)cos(temp_sudut_LA1 / 180 * pi)) + (-awal_LA_botol.VY * (float)sin(temp_sudut_LA1 / 180 * pi));
Botol_LA[0].VY = (awal_LA_botol.VX * (float)sin(temp_sudut_LA1 / 180 * pi)) + (awal_LA_botol.VY * (float)cos(temp_sudut_LA1 / 180 * pi));
Botol_LA[0].VZ = awal_LA_botol.VZ;
Botol_LA[1].VX = (awal_LA_botol.VX * (float)cos(temp_sudut_LA2 / 180 * pi)) + (-awal_LA_botol.VY * (float)sin(temp_sudut_LA2 / 180 * pi));
Botol_LA[1].VY = (awal_LA_botol.VX * (float)sin(temp_sudut_LA2 / 180 * pi)) + (awal_LA_botol.VY * (float)cos(temp_sudut_LA2 / 180 * pi));
Botol_LA[1].VZ = awal_LA_botol.VZ;
Botol_LA[0].VX = Botol_LA[0].VX + dxR2;
Botol_LA[0].VY = Botol_LA[0].VY + dyR2;
Botol_LA[1].VX = Botol_LA[1].VX + dxR2;
Botol_LA[1].VY = Botol_LA[1].VY + dyR2;
temp_Botol_LA_X = Botol_LA[0].VX;
temp_Botol_LA_Y = Botol_LA[0].VY;
temp_Botol_LA_Z = Botol_LA[0].VZ;
Botol_LA[0].VX = (temp_Botol_LA_X * (float)cos(temp_sudut1 / 180 * pi)) + (temp_Botol_LA_Z * (float)sin(temp_sudut1 / 180 * pi));
Botol_LA[0].VY = temp_Botol_LA_Y;
Botol_LA[0].VZ = (-temp_Botol_LA_X * (float)sin(temp_sudut1 / 180 * pi)) + (temp_Botol_LA_Z * (float)cos(temp_sudut1 / 180 * pi));
Botol_LA[3].VX = (temp_Botol_LA_X * (float)cos(temp_sudut2 / 180 * pi)) + (temp_Botol_LA_Z * (float)sin(temp_sudut2 / 180 * pi));
Botol_LA[3].VY = temp_Botol_LA_Y;
Botol_LA[3].VZ = (-temp_Botol_LA_X * (float)sin(temp_sudut2 / 180 * pi)) + (temp_Botol_LA_Z * (float)cos(temp_sudut2 / 180 * pi));
temp_Botol_LA_X = Botol_LA[1].VX;
temp_Botol_LA_Y = Botol_LA[1].VY;
temp_Botol_LA_Z = Botol_LA[1].VZ;
Botol_LA[1].VX = (temp_Botol_LA_X * (float)cos(temp_sudut1 / 180 * pi)) + (temp_Botol_LA_Z * (float)sin(temp_sudut1 / 180 * pi));
Botol_LA[1].VY = temp_Botol_LA_Y;
Botol_LA[1].VZ = (-temp_Botol_LA_X * (float)sin(temp_sudut1 / 180 * pi)) + (temp_Botol_LA_Z * (float)cos(temp_sudut1 / 180 * pi));
Botol_LA[2].VX = (temp_Botol_LA_X * (float)cos(temp_sudut2 / 180 * pi)) + (temp_Botol_LA_Z * (float)sin(temp_sudut2 / 180 * pi));
Botol_LA[2].VY = temp_Botol_LA_Y;
Botol_LA[2].VZ = (-temp_Botol_LA_X * (float)sin(temp_sudut2 / 180 * pi)) + (temp_Botol_LA_Z * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_LA[0].X, TK_LA[0].Y);
glVertex3f(Botol_LA[0].VX, Botol_LA[0].VY, Botol_LA[0].VZ);
glTexCoord2f(TK_LA[1].X, TK_LA[1].Y);
glVertex3f(Botol_LA[1].VX, Botol_LA[1].VY, Botol_LA[1].VZ);
glTexCoord2f(TK_LA[2].X, TK_LA[2].Y);
glVertex3f(Botol_LA[2].VX, Botol_LA[2].VY, Botol_LA[2].VZ);
glTexCoord2f(TK_LA[3].X, TK_LA[3].Y);
glVertex3f(Botol_LA[3].VX, Botol_LA[3].VY, Botol_LA[3].VZ);
glEnd();
temp_sudut_LA1 = temp_sudut_LA1 + d_sudut_LA_botol;
temp_sudut_LA2 = temp_sudut_LA2 + d_sudut_LA_botol;
TK_LA[0].Y = TK_LA[0].Y + d_TK_LA_y;
TK_LA[1].Y = TK_LA[1].Y + d_TK_LA_y;
TK_LA[2].Y = TK_LA[2].Y + d_TK_LA_y;
TK_LA[3].Y = TK_LA[3].Y + d_TK_LA_y;
}
temp_sudut_LA1 = 0.0f;
temp_sudut_LA2 = d_sudut_LA_botol;
Botol_Alas[0].VX = awal_alas_botol[0].VX;
Botol_Alas[0].VY = awal_alas_botol[0].VY;
Botol_Alas[0].VZ = awal_alas_botol[0].VZ;
Botol_Alas[1].VX = (awal_alas_botol[1].VX * (float)cos(temp_sudut1 / 180 * pi)) + (awal_alas_botol[1].VZ * (float)sin(temp_sudut1 / 180 * pi));
Botol_Alas[1].VY = awal_alas_botol[1].VY;
Botol_Alas[1].VZ = (-awal_alas_botol[1].VX * (float)sin(temp_sudut1 / 180 * pi)) + (awal_alas_botol[1].VZ * (float)cos(temp_sudut1 / 180 * pi));
Botol_Alas[2].VX = (awal_alas_botol[1].VX * (float)cos(temp_sudut2 / 180 * pi)) + (awal_alas_botol[1].VZ * (float)sin(temp_sudut2 / 180 * pi));
Botol_Alas[2].VY = awal_alas_botol[1].VY;
Botol_Alas[2].VZ = (-awal_alas_botol[1].VX * (float)sin(temp_sudut2 / 180 * pi)) + (awal_alas_botol[1].VZ * (float)cos(temp_sudut2 / 180 * pi));
glBegin(GL_POLYGON);
glTexCoord2f(TK_BA[0].X, TK_BA[0].Y);
glVertex3f(Botol_Alas[0].VX, Botol_Alas[0].VY, Botol_Alas[0].VZ);
glTexCoord2f(TK_BA[1].X, TK_BA[1].Y);
glVertex3f(Botol_Alas[1].VX, Botol_Alas[1].VY, Botol_Alas[1].VZ);
glTexCoord2f(TK_BA[2].X, TK_BA[2].Y);
glVertex3f(Botol_Alas[2].VX, Botol_Alas[2].VY, Botol_Alas[2].VZ);
glTexCoord2f(TK_BA[3].X, TK_BA[3].Y);
glVertex3f(Botol_Alas[0].VX, Botol_Alas[0].VY, Botol_Alas[0].VZ);
glEnd();
temp_sudut1 = temp_sudut1 + d_sudut;
temp_sudut2 = temp_sudut2 + d_sudut;
TK_BT_atas[0].X = TK_BT_atas[0].X + d_TK_x;
TK_BT_atas[1].X = TK_BT_atas[1].X + d_TK_x;
TK_BT_atas[2].X = TK_BT_atas[2].X + d_TK_x;
TK_BT_atas[3].X = TK_BT_atas[3].X + d_TK_x;
TK_BT_siku[0].X = TK_BT_siku[0].X + d_TK_x;
TK_BT_siku[1].X = TK_BT_siku[1].X + d_TK_x;
TK_BT_siku[2].X = TK_BT_siku[2].X + d_TK_x;
TK_BT_siku[3].X = TK_BT_siku[3].X + d_TK_x;
TK_BT_samping[0].X = TK_BT_samping[0].X + d_TK_x;
TK_BT_samping[1].X = TK_BT_samping[1].X + d_TK_x;
TK_BT_samping[2].X = TK_BT_samping[2].X + d_TK_x;
TK_BT_samping[3].X = TK_BT_samping[3].X + d_TK_x;
TK_BT_bawah[0].X = TK_BT_bawah[0].X + d_TK_x;
TK_BT_bawah[1].X = TK_BT_bawah[1].X + d_TK_x;
TK_BT_bawah[2].X = TK_BT_bawah[2].X + d_TK_x;
TK_BT_bawah[3].X = TK_BT_bawah[3].X + d_TK_x;
TK_leher[0].X = TK_leher[0].X + d_TK_x;
TK_leher[1].X = TK_leher[1].X + d_TK_x;
TK_leher[2].X = TK_leher[2].X + d_TK_x;
TK_leher[3].X = TK_leher[3].X + d_TK_x;
TK_LL[0].X = TK_LL[0].X + d_TK_x;
TK_LL[0].Y = awal_TK_LL_y;
TK_LL[1].X = TK_LL[1].X + d_TK_x;
TK_LL[1].Y = awal_TK_LL_y + d_TK_LL_y;
TK_LL[2].X = TK_LL[2].X + d_TK_x;
TK_LL[2].Y = awal_TK_LL_y + d_TK_LL_y;
TK_LL[3].X = TK_LL[3].X + d_TK_x;
TK_LL[3].Y = awal_TK_LL_y;
TK_BS[0].X = TK_BS[0].X + d_TK_x;
TK_BS[1].X = TK_BS[1].X + d_TK_x;
TK_BS[2].X = TK_BS[2].X + d_TK_x;
TK_BS[3].X = TK_BS[3].X + d_TK_x;
TK_LA[0].X = TK_LA[0].X + d_TK_x;
TK_LA[0].Y = awal_TK_LA_y;
TK_LA[1].X = TK_LA[1].X + d_TK_x;
TK_LA[1].Y = awal_TK_LA_y + d_TK_LA_y;
TK_LA[2].X = TK_LA[2].X + d_TK_x;
TK_LA[2].Y = awal_TK_LA_y + d_TK_LA_y;
TK_LA[3].X = TK_LA[3].X + d_TK_x;
TK_LA[3].Y = awal_TK_LA_y;
TK_BA[0].X = TK_BA[0].X + d_TK_x;
TK_BA[1].X = TK_BA[1].X + d_TK_x;
TK_BA[2].X = TK_BA[2].X + d_TK_x;
TK_BA[3].X = TK_BA[3].X + d_TK_x;
}
glPopMatrix();
}
Sampai disini dulu yah...dengan contoh program ini aku berharap rekan-rekan bisa membuat objek 3D yang lebih baik dengan memanfaatkan matematika, sampai jumpa lagi di artikel yang lain.
Update 2 Jan 2016
Dari iseng-iseng buat botol 3D lahirlah ide untuk membuat Hely 3D.
Salam
Heriady
heriady.yoh@gmail.com
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