Lab3_Graphics_Phong Shading

better-ball.d

data 266 288
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3 1091 1068 1093 
4 1078 1079 73 72 
4 1079 1080 1094 73 
4 1080 1081 1095 1094 
4 1081 1082 1096 1095 
3 1097 1096 1082 
3 1083 1097 1082 
4 1099 1098 1087 1088 
3 1100 1099 1088 
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4 1076 1077 74 1105 
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3 1092 1106 1107 
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3 1104 1093 1108 
4 1084 1109 1097 1083 
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4 1086 1111 1110 1085 
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3 1098 1112 1087 
4 1094 1095 1113 75 
3 1113 76 75 
4 1113 1114 77 76 
4 1115 1114 1113 1095 
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3 1120 1119 1110 
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4 1123 1122 1112 1098 
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4 1116 1131 1130 1115 
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4 1120 1135 1134 1119 
4 1139 1138 1137 1136 
3 1140 1142 1141 
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4 1146 1145 1143 1144 
4 78 1129 1136 79 
4 1130 1139 1136 1129 
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3 1153 1157 1152 
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4 1201 1192 1135 1120 
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3 1160 88 87 
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3 90 89 1206 
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3 1212 1209 1211 
3 1212 1194 1203 
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4 1214 96 93 1210 
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4 1217 1214 1215 1216 
4 1217 97 96 1214 
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4 1247 1246 1248 1249 
4 1077 1078 72 74 
3 1094 75 73 
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4 1255 1253 1252 1254 
4 1250 99 101 1256 
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3 1105 74 102 
5 1106 1105 102 100 1251 
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3 1106 1253 1255 
3 1255 1261 1277 
4 1278 1277 1261 1264 
4 1279 1278 1264 1267 
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4 1313 1324 1325 1314 
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3 1295 1323 1316 
4 1320 1319 1328 1329 
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4 1325 1333 1332 1326 
4 1324 1334 1333 1325 
4 1327 1331 1335 1328 
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4 1323 1343 1342 1322 
4 101 103 1344 1256 
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4 1340 1355 1354 1341 
4 105 1354 1355 104 
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4 1352 1268 1265 1353 
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4 1332 1351 1352 1331 
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3 1295 1357 1343 
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4 1364 1363 1362 1361 
4 1365 1364 1361 1359 
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4 1370 1374 1373 1369 
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3 1390 1381 1382 
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4 1395 1394 1393 1388 
3 1396 1394 1395 
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3 1385 1386 1397 
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4 1399 1384 1380 1398 
4 1400 1397 1384 1399 
3 1385 1397 1400 
3 1395 1388 1385 
4 1409 1385 1400 1408 
3 1395 1385 1409 
3 1407 1396 1395 
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4 1404 1405 1408 1410 
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4 1412 1366 1360 1411 
4 1413 1370 1366 1412 
4 1401 1402 1412 1411 
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3 1398 1374 1414 
4 1414 1374 1370 1413 
3 1402 1414 1413 
3 1402 1403 1414 
4 1403 1404 1410 1414 
3 1108 1107 1301 
3 1442 1108 1415 
3 1443 1442 1415 
3 1108 1301 1415 
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3 1104 1442 1443 
4 1424 1423 1394 1396 
4 1435 1445 1444 1434 
3 1445 1446 1444 
4 1423 1422 1393 1394 
4 1434 1433 1422 1423 
4 1434 1444 1447 1433 
4 1416 1415 1301 1448 
4 1417 1416 1448 1418 
3 1376 1301 1375 
3 1377 1301 1376 
3 1448 1301 1377 
3 1448 1377 1381 
3 1390 1448 1381 
3 1443 1415 1416 
4 1419 1418 1448 1390 
4 1419 1390 1391 1420 
4 1420 1391 1392 1421 
4 1392 1393 1422 1421 
4 1432 1421 1422 1433 
4 1431 1420 1421 1432 
4 1431 1430 1419 1420 
4 1430 1429 1418 1419 
3 1432 1433 1447 
4 1449 1431 1432 1447 
4 1450 1443 1416 1417 
4 1428 1417 1418 1429 
4 1451 1430 1431 1449 
4 1452 1429 1430 1451 
4 1453 1428 1429 1452 
3 1453 1452 1454 
4 1454 1452 1451 1455 
4 1455 1451 1449 1456 
4 1456 1449 1447 1457 
4 1457 1447 1444 1446 
3 1453 1454 1458 
4 1458 1454 1455 1459 
4 1459 1455 1456 1460 
4 1460 1456 1457 1461 
3 1457 1446 1461 
4 1436 1458 1459 1437 
4 1437 1459 1460 1438 
4 1438 1460 1461 1439 
4 1439 1461 1446 1440 
4 1440 1446 1445 1441 
3 1445 1435 1441 
3 1462 1243 1450 
4 1242 1243 1462 1244 
4 1128 1443 1450 1243 
4 1103 1104 1443 1128 
4 1244 1462 1402 1248 
3 1427 1417 1428 
3 1427 1425 1417 
3 1426 1425 1427 
3 1427 1428 1453 
4 1436 1427 1453 1458 
3 1450 1417 1425 
4 1426 1462 1450 1425 
3 1426 1427 1436 
3 1176 1170 1157 
4 1170 1163 1158 1157 
4 1167 1168 1185 1180 
4 1177 1179 1174 1173 
4 1191 1196 1181 1183 
4 1141 1138 1139 1140 
4 1121 1220 1201 1120 
4 1123 1124 1233 1224 
4 1066 1065 1068 1075 
4 1022 1019 1020 1024 
4 1009 1021 1020 1008 
3 1031 1023 1022 
4 1014 1026 1025 1021 
3 1022 1039 1040 
4 1029 1027 1015 1016 
3 1015 1027 1026 
3 1025 1034 1038 
4 1067 1069 1076 1092 
4 1046 1052 1061 1045 
3 1424 1396 1407 
4 1441 1435 1424 1407 
4 1403 1402 1426 1436 
4 1404 1403 1436 1437 
4 1405 1404 1437 1438 
4 1406 1405 1438 1439 
4 1407 1406 1439 1440 
3 1407 1440 1441 
3 1295 1343 1323 
4 1249 1248 1402 1401 
4 98 1230 117 2 
3 1249 1401 111 
4 1247 1249 111 112 
4 1237 1247 112 113 
4 1235 1237 113 114 
4 1232 1235 114 115 
4 1231 1232 115 116 
4 1230 1231 116 117 
4 109 1359 1358 108 
4 1358 106 1 107 
3 1358 107 108 
3 111 1401 1411 
3 110 111 1411 
3 110 1411 1360 
3 109 110 1360 
3 109 1360 1359 
3 1295 1311 1292 
3 1295 1312 1311 
3 1402 1462 1426 
4 784 706 707 712 
4 784 767 735 706 
4 584 395 576 577 
4 577 572 578 582 
4 611 604 840 612 
3 604 603 840 
4 603 601 602 840 
3 493 957 44 
4 44 957 962 971 
4 1423 1424 1435 1434 
4 832 839 840 602 
4 839 841 612 840 
4 1607 1608 1567 1609 
4 1609 1567 1558 1610 
3 1610 1558 1611 
4 1611 1612 1613 1610 
4 1610 1613 1614 1609 
4 1609 1614 1615 1607 
4 1615 1614 1616 1617 
4 1617 1616 1618 1619 
3 1619 1618 1620 
4 1620 1618 1621 1622 
3 1622 1621 1623 
3 1623 1621 1624 
4 1624 1621 1625 1626 
4 1625 1621 1618 1616 
4 1616 1614 1613 1625 
4 1625 1613 1612 1626 
3 1612 1611 1627 
3 1626 1628 1629 
3 1629 1624 1626 
4 1629 1630 1631 1624 
3 1630 1629 1628 
3 1624 1631 1632 
4 1624 1632 1633 1623 
4 1623 1633 1634 1622 
3 1622 1634 1635 
4 1622 1635 1636 1620 
4 1620 1636 1637 1619 
4 1628 1638 1639 1630 
4 1630 1639 1640 1631 
4 1631 1640 1641 1632 
3 1641 1642 1633 
4 1633 1642 1643 1634 
4 1634 1643 1644 1635 
4 1635 1644 1645 1636 
4 1636 1645 1646 1637 
4 1638 16 17 1639 
4 1639 17 18 1640 
4 1640 18 19 1641 
4 1641 19 20 1642 
4 1642 20 21 1643 
4 1643 21 22 1644 
4 1644 22 23 1645 
4 1645 23 24 1646 
3 1647 1547 1648 
3 1648 1534 1647 
3 1647 1534 1649 
3 1649 1650 1647 
3 1647 1650 1548 
3 1611 1558 1549 
3 1549 1558 1557 
3 1557 1548 1549 
4 1611 1650 1649 1627 
3 1627 1649 1628 
3 1628 1649 1651 
4 1651 1652 1638 1628 
4 1638 1652 25 16 
4 25 1652 1536 12 
3 1628 1626 1612 
3 1627 1628 1612 
3 1549 1548 1650 
3 1611 1549 1650 
4 1534 1535 1651 1649 
4 1651 1535 1536 1652 
3 1801 1902 1816 
3 1902 1801 1903 
3 1903 1801 1785 
3 1904 1816 1905 
4 1905 1816 1902 1906 
4 1906 1902 1903 1907 
4 1907 1903 1785 1908 
3 1908 1785 1909 
3 1909 1785 1910 
4 1911 1904 1905 1912 
4 1912 1905 1906 1913 
4 1913 1906 1907 1914 
4 1914 1907 1915 1916 
3 1915 1907 1908 
4 1915 1908 1909 1917 
4 1917 1909 1910 1918 
3 1918 1910 1919 
3 1919 1920 1918 
3 1918 1920 1917 
4 1917 1920 1916 1915 
4 1919 1910 1767 1768 
4 1768 1767 1921 1922 
3 1922 1921 1749 
4 1749 1923 1924 1922 
3 1922 1924 1768 
4 1924 1923 1925 1926 
3 1923 1749 1750 
3 1750 1749 1927 
4 1927 1749 1730 1928 
3 1928 1730 1731 
3 1731 1730 1929 
4 1929 1730 1711 1712 
4 1929 1712 1713 1732 
3 1732 1731 1929 
3 1731 1732 1928 
4 1928 1732 1751 1927 
3 1925 1923 1750 
4 1926 1925 1751 1930 
3 1930 1931 1926 
3 1926 1768 1924 
3 1768 1926 1932 
3 1932 1933 1768 
3 1768 1933 1919 
3 1919 1933 1934 
3 1934 1933 1935 
4 1935 1933 1932 1936 
3 1934 1935 1937 
4 1937 1935 1936 1769 
3 1769 1936 1931 
3 1769 1931 1938 
4 1938 1751 1732 1733 
4 1733 1732 1713 1714 
4 1714 1713 1694 1695 
4 1695 30 32 1714 
4 1714 32 34 1733 
4 1733 34 36 1938 
4 1938 36 38 1769 
4 1769 38 46 1937 
4 1937 46 47 1939 
4 1939 1940 1934 1937 
3 1934 1940 1916 
3 1916 1920 1934 
3 1934 1920 1919 
4 1941 1911 1912 1942 
4 1942 1912 1913 1943 
4 1943 1913 1914 1944 
4 1944 1914 1916 1940 
4 1940 1939 1945 1946 
4 1946 1947 1944 1940 
4 1944 1947 1948 1943 
4 1943 1948 1949 1950 
4 1950 1951 1952 1943 
4 1943 1952 1953 1942 
4 1942 1953 1954 1941 
4 1941 1954 1955 1956 
4 1958 1957 1959 48 
4 48 1959 1960 49 
4 49 1960 1961 50 
4 50 1961 1951 1950 
4 1950 1949 1962 50 
4 50 1962 1963 51 
4 51 1963 1964 47 
4 47 1964 1945 1939 
3 1925 1750 1751 
3 1927 1751 1750 
4 1966 1965 1967 1968 
4 1968 1967 1969 1970 
4 1970 1969 1971 1972 
4 1972 1971 1973 1974 
4 1974 1973 1975 1976 
4 1976 1975 1977 1978 
4 1978 1977 1979 1980 
4 1980 1979 1981 1982 
4 1982 1981 1983 1984 
3 1984 1983 1985 
4 1985 1983 52 53 
4 52 1983 1981 54 
4 55 1979 1977 56 
4 56 1977 1975 57 
4 57 1975 1973 58 
4 58 1973 1971 59 
4 59 1971 1969 60 
4 60 1969 1967 61 
4 61 1967 1965 62 
4 62 1965 1958 48 
4 54 1981 1979 55 
3 1984 1986 1982 
4 1982 1986 1987 1980 
4 1980 1987 1988 1978 
4 1978 1988 1989 1976 
4 1976 1989 1990 1974 
4 1974 1990 1991 1972 
3 1972 1991 1970 
3 1992 1901 1993 
3 1986 1992 1987 
4 1987 1992 1993 1988 
4 1988 1993 1994 1989 
4 1989 1994 1995 1990 
3 1990 1995 1991 
3 1995 1994 1996 
4 1985 53 63 1997 
4 1997 63 64 1998 
4 1996 1994 1993 1901 
4 2089 2060 2054 2090 
4 2087 2043 2091 2092 
4 2092 2091 2031 2093 
3 2089 2090 2094 
3 2094 2095 2096 
3 2096 2095 2097 
4 2099 2100 2101 2102 
4 2102 2101 2103 2104 
4 2104 2103 2105 2106 
4 2106 2107 2108 2104 
4 2104 2108 2109 2102 
4 2102 2109 2110 2099 
4 2111 2103 2101 2112 
4 2112 2101 2100 2113 
4 2113 2114 2115 2116 
4 2117 2110 2109 2118 
4 2119 2118 2109 2108 
3 2108 2107 2119 
3 2120 2113 2100 
4 2092 2093 2115 2114 
4 2087 2098 2076 2043 
4 2090 2054 2076 2098 
4 2121 2094 2096 2122 
4 2122 2096 2097 2123 
4 2123 2097 2117 2124 
4 2125 2119 2107 2126 
4 2124 2117 2118 2127 
4 2127 2118 2119 2125 
4 2128 2122 2123 2129 
4 2124 2130 2129 2123 
4 2124 2127 2131 2130 
4 2131 2127 2125 2132 
4 2132 2125 2126 2133 
4 2133 2126 2134 2135 
4 2121 2122 2128 2136 
4 2136 2137 2138 2121 
4 2092 2114 2120 2087 
4 2086 2120 2100 2099 
4 2120 2086 2098 2087 
4 2098 2086 2139 2090 
4 2139 2086 2099 2110 
4 2097 2139 2110 2117 
3 2095 2139 2097 
4 2094 2090 2139 2095 
3 2094 2121 2089 
4 2116 2115 2140 2141 
4 2115 2093 2142 2140 
4 2113 2116 2143 2112 
4 2103 2111 2144 2105 
4 2144 2111 2145 2146 
4 2145 2111 2112 2143 
4 2146 2145 2147 2148 
4 2147 2145 2143 2149 
4 2149 2143 2116 2141 
3 2128 2129 2150 
3 2128 2150 2136 
4 2129 2151 2152 2150 
4 2151 2140 2142 2152 
4 2150 2152 2153 2037 
4 2153 2152 2142 2154 
4 2129 2130 2155 2151 
4 2151 2155 2141 2140 
4 2130 2131 2156 2155 
4 2155 2156 2149 2141 
4 2136 2150 2037 2137 
3 2156 2131 2132 
3 2133 2156 2132 
3 2149 2156 2147 
3 2133 2135 2156 
4 2148 2147 2156 2135 
4 2146 2148 2135 2134 
4 2126 2107 2106 2134 
4 1911 1941 2157 2158 
4 2158 2157 2159 1832 
4 1832 2159 2160 1848 
4 1848 2160 2161 2162 
4 2162 2161 2163 1862 
4 2166 2167 2168 1970 
4 1970 1991 1890 2166 
4 2170 2169 2171 2172 
4 2172 2171 2173 2174 
4 2174 2173 2161 2160 
3 2171 2175 2173 
4 2173 2175 2163 2161 
4 2169 2176 2177 2171 
4 2171 2177 2178 2175 
4 2175 2178 2164 2163 
4 2176 2179 2180 2177 
4 2177 2180 2181 2178 
4 2178 2181 2167 2164 
4 2182 2170 2172 2183 
4 2183 2172 2174 2184 
4 2184 2174 2160 2159 
3 2185 2159 2157 
4 2159 2185 2187 2184 
4 2184 2187 2188 2183 
4 2183 2188 2189 2182 
4 2185 2186 2190 2187 
3 2187 2190 2188 
4 2188 2190 2191 2192 
4 2186 2193 2191 2190 
4 2193 2195 2196 2191 
4 2191 2196 2197 2192 
4 2192 2197 2198 2199 
4 1968 1970 2168 2200 
4 2200 2195 1966 1968 
4 2195 2200 2201 2196 
4 2196 2201 2202 2197 
4 2197 2202 2203 2198 
4 2200 2168 2204 2201 
4 2201 2204 2205 2202 
4 2202 2205 2206 2203 
4 2204 2181 2180 2205 
4 2205 2180 2179 2206 
4 2168 2167 2181 2204 
4 2164 2167 2166 2165 
4 2032 2038 2039 2033 
4 2033 2039 2040 2034 
4 2034 2040 2041 2035 
4 2035 2041 2042 2036 
4 2061 2055 2054 2060 
4 2062 2056 2055 2061 
4 2063 2057 2056 2062 
4 2064 2058 2057 2063 
4 2065 2059 2058 2064 
4 2067 2062 2061 2066 
4 2068 2063 2062 2067 
4 2069 2064 2063 2068 
4 2070 2065 2064 2069 
4 2072 2067 2066 2071 
4 2073 2068 2067 2072 
4 2074 2069 2068 2073 
4 2075 2070 2069 2074 
4 2078 2072 2071 2077 
4 2079 2073 2072 2078 
4 2080 2074 2073 2079 
4 2081 2075 2074 2080 
4 2038 2032 2031 2091 
4 2044 2038 2091 2043 
4 2047 2048 2042 2041 
4 2046 2047 2041 2040 
4 2045 2039 2038 2044 
4 2045 2046 2040 2039 
4 2054 2055 2049 2076 
4 2049 2044 2043 2076 
4 2058 2059 2053 2052 
4 2057 2058 2052 2051 
4 2056 2057 2051 2050 
4 2055 2056 2050 2049 
4 2052 2053 2048 2047 
4 2051 2052 2047 2046 
4 2050 2051 2046 2045 
4 2049 2050 2045 2044 
3 2120 2114 2113 
5 2134 2106 2105 2144 2146 
4 2037 2077 2071 2137 
4 2084 2085 2081 2080 
4 2083 2084 2080 2079 
4 2082 2083 2079 2078 
4 2071 2066 2138 2137 
4 2093 2031 2154 2142 
4 2211 2153 2154 2210 
4 2082 2211 2210 2207 
4 2211 2077 2037 2153 
4 2211 2082 2078 2077 
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4 2189 2199 2286 2287 
4 2182 2189 2287 2223 
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3 1992 1900 1901 
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3 68 536 1891 
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3 2378 2370 1833 
3 2378 1833 1834 
3 1834 1849 2385 
3 1834 1835 1849 
4 1945 2413 2414 1946 
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4 1947 2415 2416 1948 
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4 1949 2417 2418 1962 
4 1962 2418 2419 1963 
4 1963 2419 2420 1964 
4 1964 2420 2413 1945 
4 1951 2421 2422 1952 
4 1952 2422 2423 1953 
4 1953 2423 2424 1954 
4 1954 2424 2425 1955 
4 1955 2425 2426 1957 
4 1957 2426 2427 1959 
4 1959 2427 2428 1960 
4 1960 2428 2429 1961 
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4 2419 2431 2430 2420 
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3 2440 2441 2448 
3 2439 2440 2448 
3 2438 2439 2448 
6 2449 2450 2451 2452 2453 2454 
4 2455 2456 2452 2451 
4 2452 2456 2457 2453 
3 2453 2457 2458 
4 2454 2453 2458 2459 
4 2449 2454 2459 2460 
3 2449 2460 2461 
4 2462 2455 2451 2450 
4 2463 2460 2459 2464 
4 2461 2465 2466 2462 
3 2467 2456 2455 
4 2458 2469 2464 2459 
4 2458 2457 2470 2469 
4 2464 2469 2471 2472 
4 2469 2470 2473 2471 
3 2470 2474 2473 
3 2470 2468 2474 
4 2475 2476 2467 2466 
3 2476 2477 2467 
3 2467 2477 2468 
4 2465 2478 2479 2466 
4 2478 2465 2463 2480 
4 2481 2482 2478 2480 
4 2482 2483 2479 2478 
4 2483 2484 2475 2479 
4 2484 2485 2476 2475 
4 2485 2486 2477 2476 
4 2486 2487 2468 2477 
3 2487 2488 2468 
4 2468 2488 2489 2474 
4 2474 2489 2490 2473 
4 2471 2473 2490 2491 
4 2472 2471 2491 2492 
3 2463 2472 2492 
3 2487 2493 2494 
4 2487 2494 2495 2488 
4 2488 2495 2496 2489 
4 2489 2496 2497 2490 
4 2491 2490 2497 2498 
4 2492 2491 2498 2499 
4 2463 2492 2499 2500 
4 2485 2501 2502 2486 
4 2503 2501 2485 2484 
4 2504 2503 2484 2483 
4 2504 2483 2482 2505 
4 2505 2482 2481 2506 
4 2507 2506 2481 2463 
3 2507 2463 2500 
4 2508 2505 2506 2509 
4 2508 2510 2504 2505 
4 2510 2511 2503 2504 
4 2511 2512 2501 2503 
4 2512 2513 2502 2501 
4 2513 2514 2493 2502 
4 2493 2514 2515 2494 
3 2494 2515 2495 
3 2516 2507 2500 
4 2510 2517 2518 2511 
4 2518 2519 2512 2511 
4 2519 2520 2513 2512 
4 2520 2521 2514 2513 
4 2521 2522 2515 2514 
4 2515 2522 2523 2495 
4 2495 2523 2524 2496 
4 2496 2524 2525 2497 
4 2498 2497 2525 2526 
3 2498 2526 2527 
4 2499 2498 2527 2528 
4 2500 2499 2528 2529 
4 2516 2500 2529 2530 
4 2531 2509 2516 2530 
3 2532 2509 2531 
4 2533 2508 2509 2534 
3 2534 2509 2532 
4 72 73 2520 2519 
4 73 2535 2521 2520 
4 2535 2536 2522 2521 
4 2536 2537 2523 2522 
3 2523 2537 2538 
3 2523 2538 2524 
4 2529 2528 2539 2540 
3 2529 2540 2541 
4 2530 2529 2541 2542 
4 2531 2530 2542 2543 
4 2544 2532 2531 2543 
4 2545 2534 2532 2544 
4 2546 74 2518 2517 
4 2547 2546 2517 2533 
3 2548 2547 2533 
4 2548 2533 2534 2549 
3 2549 2534 2545 
4 2524 2538 2550 2525 
4 2525 2550 2551 2526 
4 2526 2551 2552 2527 
4 2527 2552 2553 2528 
3 2528 2553 2539 
4 75 2554 2536 2535 
3 75 76 2554 
4 76 77 2555 2554 
4 2536 2554 2555 2556 
4 2536 2556 2557 2537 
4 2537 2557 2558 2538 
4 2538 2558 2559 2550 
4 2550 2559 2560 2551 
3 2551 2560 2561 
4 2551 2561 2562 2552 
4 2553 2552 2562 2563 
4 2539 2553 2563 2564 
4 2540 2539 2564 2565 
4 2541 2540 2565 2566 
4 2542 2541 2566 2567 
4 2568 2543 2542 2567 
4 2569 2544 2543 2568 
4 77 78 2570 2555 
4 2555 2570 2571 2556 
4 2556 2571 2572 2557 
4 2557 2572 2573 2558 
4 2558 2573 2574 2559 
4 2559 2574 2575 2560 
4 2560 2575 2576 2561 
4 2577 2578 2579 2580 
3 2582 2583 2581 
4 2583 2582 2584 2585 
4 2585 2584 2586 2587 
4 79 2577 2570 78 
4 2570 2577 2580 2571 
4 2580 2581 2572 2571 
4 2572 2581 2583 2573 
4 2573 2583 2585 2574 
4 2574 2585 2587 2575 
4 2575 2587 2588 2576 
4 2589 2590 2591 2592 
4 80 81 2593 2590 
4 2590 2593 2594 2591 
4 82 83 2589 2578 
4 2578 2589 2592 2579 
4 2579 2592 2595 2582 
4 2592 2591 2596 2595 
4 2591 2594 2597 2596 
3 2593 2598 2594 
4 81 84 2598 2593 
3 2594 2598 2597 
4 2598 84 85 2599 
4 85 86 2600 2599 
4 86 87 2601 2600 
4 2600 2601 2602 2603 
4 2599 2600 2603 2604 
5 2605 2606 2607 2608 2609 
4 2610 2611 2604 2606 
4 2606 2604 2603 2607 
4 2603 2602 2612 2607 
4 2608 2607 2612 2613 
4 2605 2614 2610 2606 
4 2586 2615 2614 2605 
4 2584 2616 2615 2586 
4 2582 2595 2616 2584 
3 2617 2611 2610 
4 2618 2617 2610 2614 
4 2619 2620 2615 2616 
3 2619 2616 2595 
3 2619 2595 2596 
4 2619 2596 2597 2620 
3 2620 2597 2618 
4 2597 2598 2617 2618 
4 2621 2608 2613 2622 
3 2623 2621 2622 
3 2623 2622 2624 
3 2625 2609 2626 
4 2586 2605 2609 2625 
4 2587 2586 2625 2627 
3 2587 2627 2588 
3 2588 2627 2628 
4 2627 2625 2626 2629 
4 2629 2626 2621 2623 
3 2629 2628 2627 
4 2629 2623 2624 2628 
4 2576 2588 2628 2630 
3 2630 2628 2631 
3 2628 2624 2631 
3 2624 2632 2631 
3 2576 2630 2633 
4 2633 2630 2631 2634 
3 2631 2632 2635 
3 2634 2631 2635 
4 2622 2613 2636 2637 
4 2613 2612 2638 2636 
4 2632 2637 2639 2635 
4 2637 2636 2640 2639 
4 2636 2638 2641 2640 
4 2561 2576 2633 2642 
4 2642 2633 2634 2643 
3 2634 2635 2644 
4 2643 2634 2644 2645 
4 2602 2646 2638 2612 
3 87 88 2601 
4 2601 88 2646 2602 
4 88 89 2647 2646 
4 2646 2647 2641 2638 
3 2647 89 90 
4 2647 90 2648 2641 
3 90 91 2648 
4 2641 2648 2649 2640 
4 2650 92 93 2651 
4 2640 2649 2652 2639 
4 2639 2652 2653 2635 
3 94 92 2650 
4 2648 91 95 2649 
4 2649 95 94 2650 
3 2652 2649 2650 
3 2652 2650 2653 
3 2644 2635 2653 
4 2645 2644 2653 2654 
4 2653 2650 2651 2654 
4 2651 93 96 2655 
4 2654 2651 2655 2656 
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4 2655 96 97 2658 
4 2659 2645 2654 2656 
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4 2657 2658 2671 2672 
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3 102 74 2546 
5 2692 100 102 2546 2547 
3 2694 2692 2547 
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4 104 103 2785 2796 
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3 2795 2803 2802 
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3 2891 2684 2903 
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4 2689 2843 2903 2685 
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3 2764 2784 2736 
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4 2 1473 2671 98 
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4 1472 1471 2673 2672 
4 1473 1472 2672 2671 
4 1464 2799 2800 1465 
4 1463 1 106 2799 
3 1464 1463 2799 
3 2852 2842 1467 
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3 2801 1466 1465 
3 2800 2801 1465 
3 2733 2752 2736 
3 2752 2753 2736 
3 2867 2903 2843 
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4 2060 2089 2121 2138 
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4 1936 1932 1926 1931 
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3 2194 1957 1958 
4 2194 1956 1955 1957 
3 2291 2290 2292 
3 44 2385 1849 
4 971 2392 2385 44 
4 2875 2876 2865 2864 
4 1956 2194 2193 2186 
4 2194 1966 2195 2193 
3 971 2399 2392 
3 971 962 967 

Edgetable.h

#include "stdafx.h"
#include <vector>
#include <iostream>

#ifndef Edge_H_INCLUDED
#define Edge_H_INCLUDED

using namespace std;

class Edge{
    public:
        vector<float> *edgeValue;
        Edge(){
			edgeValue = new vector<float>();
		};
        void setEdgeValue(float ymax, float xStart, float xSlope, float zStart, float zSlope, float Nxstart, float Nxslope,
                         float Nystart, float Nyslope, float Nzstart, float Nzslope){
            edgeValue->clear();
            edgeValue->push_back(ymax);
            edgeValue->push_back(xStart);
            edgeValue->push_back(xSlope);
            edgeValue->push_back(zStart);
            edgeValue->push_back(zSlope);
			edgeValue->push_back(Nxstart);
			edgeValue->push_back(Nxslope);
			edgeValue->push_back(Nystart);
			edgeValue->push_back(Nyslope);
			edgeValue->push_back(Nzstart);
			edgeValue->push_back(Nzslope);
        }
        ~Edge(){
			delete edgeValue;
		};

    private:
};
#endif


#ifndef EdgeTable_H_INCLUDED
#define EdgeTable_H_INCLUDED

class EdgeTable{
    public:   
		//count the number of edges with same ymax
        int count;
        vector < Edge* > tempEdge;
        EdgeTable(){
            count = 0;
        }

        void insertValue(float ymax, float xStart, float xSlope, float zStart, float zSlope, float Nxstart, float Nxslope,
                         float Nystart, float Nyslope, float Nzstart, float Nzslope){
			Edge *edgeValue = new Edge();
            edgeValue->setEdgeValue(ymax,xStart,xSlope, zStart,zSlope, Nxstart, Nxslope,Nystart,Nyslope, Nzstart, Nzslope);
            tempEdge.push_back(edgeValue);
            count++;
        }

        vector<float>* getEdgeValue(int index){
           return tempEdge[index]->edgeValue;
        }
        ~EdgeTable(){
		
		};
};
#endif 

Lab3_Phong Shading.cpp

// Lab3_Phong Shading.cpp : Defines the entry point for the console application.
//

#include "stdafx.h"
#ifdef __APPLE__
#include <OpenGL/OpenGL.h>
#include <Glut/glut.h>
#else
#include <stdlib.h>
#include <GL/glut.h>
#endif
#include <math.h>
#include <algorithm>
#include <iostream>
#include <vector>
#include <fstream>
#include <string>
#include <iomanip>
#include "PolyModel.h"
#include "EdgeTable.h"
#include "Scanline.h"

using namespace std;

/**********************************************************************
 * Configuration
 **********************************************************************/

#define INITIAL_WIDTH 640
#define INITIAL_HEIGHT 480
#define INITIAL_X_POS 100
#define INITIAL_Y_POS 100

#define WINDOW_NAME  "Lab_3 Shading and Illumination Modeling - Phong Shading"

PolyModel model;

float Xmin = 0;
float Xmax = 640;
float Ymin = 0;
float Ymax = 480;

vector< vector < vector <float> > > pixels1(Ymax,vector< vector< float > >(Xmax,vector < float > (5)));

void init(){
    glMatrixMode (GL_PROJECTION);
    //Reset the drawing perspective
    glLoadIdentity();

    gluOrtho2D(Xmin, Xmax, Ymin, Ymax);
}

void drawScene(){
	/* clear the screen and the depth buffer */
    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
	// input Model file name
	string ifile = "better-ball.d";
	//string ifile = "cow.d";
    ifstream ifs(ifile.c_str());

	model.setShiftLocal(0, 0, -2);
	//model.setShiftLocal(0, 0, -5);
	model.setDeviceScale(Xmin, Xmax, Ymin, Ymax);

    model.loadModel(ifs);
    //compose the matrices
    vector<vector<float>> temp = model.matComposite();
    
    Scanline scan(model.m_polys, model.m_front_poly, temp, model.world_verts);
    scan.setDeviceCoord(Xmin, Xmax, Ymin, Ymax);
    scan.getPixelValue();
    pixels1 = scan.pixels;

	//-------------------draw ------------------
    glMatrixMode( GL_MODELVIEW );
    glLoadIdentity();
    for(int i = 0 ; i < Xmax ; i++)
    {// front_Poly.size() is the number of polygon which face camera
        for(int j = 0 ; j < Ymax  ; j++)
        {//draw line from one vertex to next vertex
            glBegin(GL_POINTS);
                if(pixels1[j][i][0] == 1)//if there is a pixel
                {   //set pixel color
                    glColor3f(pixels1[j][i][2],pixels1[j][i][3],
                              pixels1[j][i][4]);
                    glVertex2i(i,j);
                }
            glEnd();
        }
    }
    glutSwapBuffers();
}

int main(int argc, char** argv){
    //Initialize GLUT
	glutInit (&argc, argv);
    glutInitDisplayMode(GLUT_RGBA | GLUT_DEPTH | GLUT_DOUBLE);
	glutInitWindowSize (INITIAL_WIDTH, INITIAL_HEIGHT);		//set windows size
    glutInitWindowPosition (INITIAL_X_POS, INITIAL_Y_POS);  //set windows position
    glutCreateWindow (WINDOW_NAME); 	//create windows
	glutDisplayFunc (drawScene);
	
	//OpenGL and other program initialization
    init();
    glutMainLoop();

    return 1;
}

PolyModel.cpp

#include "stdafx.h"
#include "PolyModel.h"
#ifdef __APPLE__
#include <OpenGL/OpenGL.h>
#include <Glut/glut.h>
#else
#include <GL/glut.h>
#endif
#include <vector>
#include <iostream>
#include <fstream>
#include <string>
#include <cstring>
#include <cstdlib>
#include <math.h>
#include <iomanip>

using namespace std;

PolyModel::PolyModel(){   
	//set up default parameter
    setNear(10); //near
    setFar(200); //far
    setWidth(10); //h
    setUpVec(0,1,0);//up vector of camera
    setCameraPosition(0,0,0);
    //default camera position on world coordinate
    setProjectRef(0, 0, -1);
    //default camera project reference on world coordinate
}

bool PolyModel::loadModel(std::istream& istr, bool reverse){
    //load filename *.d
    if (!istr.good())
		return false;

	//declare two variables to store the number of vertex and polygon
    int vertex_count, face_count;

    //store first word "data"
    string data;

    char firstline[100];
    istr.getline(firstline, 100, '\n');
    istr.seekg(0L, ios::beg);
    string string = firstline; 

    if(!string.find("data")){
		//first line include word "data"
        istr >> data >> vertex_count >> face_count;
    }
    else{
		//first line doesn't include word "data"
        istr >> vertex_count >> face_count;
    }
	//declare a vector to store vertice coordinates
    vector< vector<float> > vertex(vertex_count, vector<float>(4));
    
    // Read in all the points, assign vertex to public vector vec_vertex
    for(int i = 0; i< vertex_count; i++){
        istr >> vertex[i][0] >> vertex[i][1] >> vertex[i][2];
        vertex[i][3] = 1;
		m_verts.push_back(vertex[i]);
    } 

    // Read in all the polygons
    for(int i = 0; i< face_count; i++){
        int element,index;
		//read in vertex index
        istr>>index;
		//declare a vector to store all the points of each polygon
        vector<int> row;
		//store index of each polygon into row vector
        row.push_back(index);

		//read in all the points of each polygon
        for (int j = 0; j < index  ; j++){
            istr>>element;
            row.push_back(element); 
        }
		// assign the vector to the public vector vec_polygon
        m_polys.push_back(row);
    }
    return true;
}

vector< vector<float> > PolyModel::matComposite(){
	//initialize modeling, viewing, perspective transformation vectors
	vector< vector<float> > m_model(4, vector<float>(4));
	vector< vector<float> > m_view (4, vector<float>(4));
	vector< vector<float> > m_pers (4, vector<float>(4));

	//compute Modeling transform Matrix
    matrixModel(m_model, localToWorld);
    //compute viewing transform Matrix
    matrixView(m_view , camera, up_vector);
    //compute Perspective transform Matrix
    matrixPers(m_pers , near , far , h);

	vector< vector<float> > temp_world_verts(m_verts.size(), vector<float>(4));

	for(int i = 0 ; i < (int)m_verts.size() ; i++)
        matrix4x1(temp_world_verts[i],  m_model, m_verts[i]);
	
	world_verts = temp_world_verts;
    
    vector< vector<float> > m_model_view(4, vector<float> (4));
	//compute composite matrix to view space
    matrix4x4(m_model_view, m_view, m_model);
    
	//vec_view_vertex stores vertices in view space
    vector< vector<float> > temp_vertex(m_verts.size(),vector<float>(4) );
    
    for(int i = 0 ; i < (int)m_verts.size() ; i++)
	  //vertice in view space
      matrix4x1(temp_vertex[i] , m_model_view, m_verts[i]);
        
    //start front face calculus in view space
    vector <float> view_normal(3);
    vector <float> poly_vector_1(3);
    vector <float> poly_vector_2(3);
    vector <float> poly_normal(3);
    vector <float> front_vertex;//store all 'front vertices' index
    
	//compute visible face
    for(int i=0; i<(int)m_polys.size(); i++){
		//compute two vectors on one polygon
        vector_subtraction(poly_vector_1, temp_vertex[m_polys[i][2]-1], temp_vertex[m_polys[i][1]-1]);
        vector_subtraction(poly_vector_2, temp_vertex[m_polys[i][2]-1], temp_vertex[m_polys[i][3]-1]);
        //compute the direction to the camera
        vector_subtraction(view_normal, camera, temp_vertex[m_polys[i][2]-1]);
        //calculus cross product
        cross_product(poly_normal, poly_vector_1, poly_vector_2);

        //detect visible face if dot product greater than 0
        if(dot_product(poly_normal,view_normal) > 0){
           //store front 'polygon index'
		   m_front_index.push_back(i);
            
           for(int j=1; j< (int)m_polys[i][0]+1; j++)
                front_vertex.push_back(m_polys[i][j]);
        }
    }

    for(int i=0; i< (int)m_front_index.size(); i++)
	//store front face polygon data
    m_front_poly.push_back(m_polys[m_front_index[i]]);
      
	//mark visible vertices by add extra number at the back of them
    for(int i = 0 ; i < (int)front_vertex.size() ; i++){
        if(temp_vertex[front_vertex[i]-1].size() == 4){
			vector<float> temp(4);
			matrix4x1(temp, m_pers, temp_vertex[front_vertex[i]-1]);
			for(int j = 0; j< 4;j++){
				temp[j] /= temp[3];
			}
			temp[0] = ((Xmax - Xmin)/2)*(temp[0]+1) ;//x
			temp[1] = ((Ymax - Ymin)/2)*(temp[1]+1) ;//y
			temp_vertex[front_vertex[i]-1] = temp;
			temp_vertex[front_vertex[i]-1].push_back(-1);
		}	
     }
    //initialize vec_device_vertex with normalized vertices
	return temp_vertex;
}

void PolyModel::setShiftLocal(float x, float y, float z){
	//set vector that object shift from local to world
    localToWorld.push_back(x);
    localToWorld.push_back(y);
    localToWorld.push_back(z);
}

void PolyModel::setCameraPosition(float x, float y, float z){
	//set Camera position in world coordinate
    camera.push_back(x);
    camera.push_back(y);
    camera.push_back(z);
}

void PolyModel::setUpVec(float x, float y, float z){
	//set up vector for camera
    up_vector.push_back(x);
    up_vector.push_back(y);
    up_vector.push_back(z);
}

void PolyModel::setNear(float Near){
	//set near clipping plan =>d
    near = Near;
}

void PolyModel::setFar(float Far){
	//set far clipping plan => far
    far = Far;
}

void PolyModel::setWidth(float width){
	//set h for perspective matrix
    h = width;
}

void PolyModel::setProjectRef(float x, float y, float z){
	//set project reference for camera
    P_ref.push_back(x);
    P_ref.push_back(y);
    P_ref.push_back(z);
}

void PolyModel::setDeviceScale(float x, float X,float y, float Y){
    Xmin = x;
    Xmax = X;
    Ymin = y;
    Ymax = Y;
}

void PolyModel::view_N(vector<float> &N_vector, vector<float> camera, vector<float> vertex){
	//compute N vector
    vector<float> num(3);
    float den; 
    vector_subtraction(num, camera, vertex); 
    den = vector_length(num); 
    for(int i = 0 ; i < 3 ; i++)
        N_vector[i] = num[i]/den;
}

void PolyModel::view_U(vector<float> &U_vector,vector<float> N_vector , vector<float> up_vector){
	//compute U vector for camera
    vector<float> num(3);
    float den; 
    cross_product(num , N_vector, up_vector);
    den = vector_length(num); 

    for(int i = 0 ; i < 3 ; i++)
        U_vector[i] = num[i]/den;
}

void PolyModel::view_V(vector<float> &V_vector,vector<float> U_vector, vector<float> N_vector){
	//compute V vector for camera
    cross_product(V_vector , U_vector , N_vector);
}

float PolyModel::vector_length(vector<float> vector_1){
	//compute vector length
    return sqrt(vector_1[0]*vector_1[0] + vector_1[1]*vector_1[1] +
              vector_1[2]*vector_1[2]);
}

void PolyModel::vector_subtraction(vector<float> &sub,vector<float> vector_1, vector<float> vector_2){
	//compute vector subtraction
    //vector_2 - vector_1
    for(int i = 0 ; i < 3 ; i++)
        sub[i] = vector_2[i] - vector_1[i];
}

float PolyModel::dot_product(vector<float> vector_1,vector<float> vector_2){
	//compute dot product
    return vector_1[0]*vector_2[0] + vector_1[1]*vector_2[1] +
           vector_1[2]*vector_2[2];
}

void PolyModel::cross_product(vector<float> &normal,vector<float>vector_1, vector<float>vector_2){
	//compute cross product
    normal[0] = vector_1[1]*vector_2[2] - vector_1[2]*vector_2[1];
    normal[1] = vector_1[2]*vector_2[0] - vector_1[0]*vector_2[2];
    normal[2] = vector_1[0]*vector_2[1] - vector_1[1]*vector_2[0];
}

void PolyModel::matrix4x1(vector <float> &matrix_out,vector< vector<float> >matrix_L,vector <float>matrix_R){
	// compute 4 x 4 and 4 x 1 matrices muliplication
    for(int i = 0 ; i < 4 ; i++ ){
        matrix_out[i] =
            matrix_L[i][0] * matrix_R[0] +
            matrix_L[i][1] * matrix_R[1] +
            matrix_L[i][2] * matrix_R[2] +
            matrix_L[i][3] * matrix_R[3] ;
    }
}

void PolyModel::matrix4x4(vector< vector<float> > &matrix_out,vector< vector<float> >matrix_L,vector< vector<float> >matrix_R){
	// compute 2 4 x 4 matrices muliplication
    for(int i = 0 ; i < 4 ; i++ )
        for(int j = 0 ; j < 4 ; j++ ){
            matrix_out[i][j] =
                matrix_L[i][0] * matrix_R[0][j] +
                matrix_L[i][1] * matrix_R[1][j] +
                matrix_L[i][2] * matrix_R[2][j] +
                matrix_L[i][3] * matrix_R[3][j];
        }
}

void PolyModel::matrixModel(vector< vector<float> >& m_model, vector<float> toWorld){
	//compute modeling matrix
    for(int i = 0 ; i < 4 ; i++)
        for(int j = 0 ; j < 4 ; j++ ){
            if(i == j)
                m_model[i][j] = 1;
            else if(i == 0 && j ==3 )
                m_model[i][j] = toWorld[0];
            else if(i == 1 && j ==3 )
                m_model[i][j] = toWorld[1];
            else if(i == 2 && j ==3 )
                m_model[i][j] = toWorld[2];
            else
                m_model[i][j] = 0;
        }
}

void PolyModel::matrixView(vector< vector<float> >& m_view,vector<float> camera, vector<float> up_vector){
	//compute view transformation Matrix
    vector< vector<float> > m_viewR(4, vector<float>(4));
    vector< vector<float> > m_viewT(4, vector<float>(4));
    
    for(int i=0; i<4; i++)
        for(int j=0; j<4; j++){
            if(i == j){
                m_viewR[i][j] = 1;
                m_viewT[i][j] = 1;
            }
            else{
                m_viewR[i][j] = 0;
                m_viewT[i][j] = 0;
            }
        }

    for(int i=0; i<3; i++)
        m_viewT[i][3] = -camera[i];

    view_N(m_viewR[2], camera , P_ref);
    view_U(m_viewR[0], m_viewR[2], up_vector);
    view_V(m_viewR[1], m_viewR[0], m_viewR[2]);

    matrix4x4(m_view, m_viewR , m_viewT);
}

void PolyModel::matrixPers(vector< vector<float> >& m_pers, float d, float f, float h){
	//compute perspective matrix
    for(int i=0; i<4; i++)
        for(int j=0; j<4; j++){
            if(i == 0 && j ==0)
                m_pers[i][j] = 0.5;
            else if(i == 1 && j ==1)
                m_pers[i][j] = 0.65;
            else if (i == 2 && j ==2)
                m_pers[i][j] = f / (f - d);
            else if (i == 2 && j ==3)
                m_pers[i][j] = - f * d / (f - d);
            else if (i == 3 && j ==2)
                m_pers[i][j] = 1;
            else
                m_pers[i][j] = 0;
        }
}

PolyModel::~PolyModel()
{
}

PolyModel.h

#include "stdafx.h"
#include <string>
#include <vector>
#include <iostream>

#ifndef POLYMODEL_H
#define POLYMODEL_H

#pragma once

using namespace std;

class PolyModel{
    public:
		//vectors for original vertex coordinates and polygons
        vector< vector<float> > m_verts;
        vector< vector<int> > m_polys;
		vector< vector<float> > world_verts;

		//vector for visible face polygons and corresponding indexes
        vector<int>  m_front_index;     
        vector< vector<int> > m_front_poly;
		
		//constructor
		PolyModel();

		//load data from ".d" file
        bool loadModel(istream& istr, bool reverse=false);
        
		//compute back face and normalized vertices data
        vector< vector<float> > matComposite();
        
        virtual ~PolyModel();

		//set vector for object shift from local to world
        void setShiftLocal(float, float, float);
		//set Camera position in world coordinate
        void setCameraPosition(float, float, float);
        //set up vector for camera
        void setUpVec(float, float, float);
        //set near clipping distance
        void setNear(float);
        //set far clipping distance
        void setFar(float);
        //set h for perspective matrix
        void setWidth(float);
        
        //set project reference for camera
        void setProjectRef(float, float, float);
		//set scale to device coordinate Xmin, Ymin, Xmax, Ymax
		void setDeviceScale(float, float, float, float);
        
		//compute vector length
		float vector_length(vector<float>);
        //compute vector subtraction
        void vector_subtraction(vector<float> &, vector<float>, vector<float>);

        //compute dot product
        float dot_product(vector<float> , vector<float> );
        //compute cross product
        void cross_product(vector<float> &, vector<float>, vector<float>);

		// compute the multiplication of two matrices
        void matrix4x1(vector <float> &, vector< vector<float> >,vector <float>);
        // compute the multiplication of two 4x4 matrices
        void matrix4x4(vector< vector<float> >&, vector< vector<float> >,vector< vector<float> >);

		//compute N vector for camera
        void view_N(vector<float> &, vector<float>, vector<float>);
		//compute U vector for camera
        void view_U(vector<float> &, vector<float>, vector<float>);
		//compute V vector for camera
        void view_V(vector<float> &, vector<float>, vector<float>);
		
        //compute modeling transformation matrix
        void matrixModel(vector< vector<float> >&, vector<float>);
        //compute viewing transformation Matrix
        void matrixView(vector< vector<float> >& , vector<float> , vector<float>);
        //compute projection transformation matrix
        void matrixPers(vector< vector<float> >&  , float , float , float );


    private:
        char *fileName;

        vector <float> localToWorld;
        vector <float> camera; //camera position in world
        vector <float> up_vector;//up vector for camera
        vector<float> P_ref;//project reference for camera
		vector <float> deviceScale;

        float h;//for perspective matrix
		float near;//near clipping plan
        float far;//far clipping plan
		float Xmin;
        float Ymin;
        float Xmax;
        float Ymax;

        vector< vector<float> > m_model;//Modeling transform Matrix
		vector< vector<float> > m_view;//view transformation Matrix
        vector< vector<float> > m_pers;//Perspective transform Matrix
        
    protected:

};

#endif // POLYMODEL_H

Scanline.cpp

#include "stdafx.h"
#include "Scanline.h"
#include "EdgeTable.h"
#include <vector>
#include <cstdlib>
#include <math.h>
#include <iomanip>
#include <algorithm>
#include <math.h>
#include <time.h>
#include <fstream>

Scanline::Scanline(vector< vector<int> >Poly, vector< vector<int> > frontPoly, vector< vector<float> > deviceVertex, vector< vector<float> > worldVertex){   
	//read in front polygons and vertices
    front_Poly = frontPoly;
    device_vertex = deviceVertex;
	world_vertex = worldVertex;
	//round up x,y value and put them in round_vertex
    roundUpVertex(round_vertex,device_vertex);
	Kd = 0.3;
    Ks = 0.7;
    Ka = 0.2;
	vector<float> temp_lightDir(3, 1);
	temp_lightDir[2]= 1.5;
	lightDir = temp_lightDir;
	vector<float> temp_viewDir(3, 0);
	viewDir = temp_viewDir;
	viewDir[2] = 1;
}

void Scanline::computeVertexNormal(){
	vector <float> temp_vector_1(3);
	vector <float> temp_vector_2(3);
	vector <float> poly_normal(3);
	vector< vector<float> > temp_vertex_normal(world_vertex.size(),vector<float>(3));

	vector<float> temp_h(3);
	sum(temp_h, lightDir, viewDir);

	for(int i = 0; i < 3; i++)
		h_vector.push_back(temp_h[i] / length(temp_h));

	for(int i = 0; i < (int)front_Poly.size(); i++){
	   subtraction(temp_vector_1, world_vertex[front_Poly[i][2]-1], world_vertex[front_Poly[i][1]-1]);
	   subtraction(temp_vector_2, world_vertex[front_Poly[i][2]-1], world_vertex[front_Poly[i][3]-1]);
	   crossProduct(poly_normal, temp_vector_1, temp_vector_2);

	   for(int j=1; j<(int)front_Poly[i][0]+1 ;j++){
		   //add normal of neibor polygon to vertex
            for (int k=0; k<3; k++ )
                temp_vertex_normal[front_Poly[i][j]-1][k] += poly_normal[k];
        }
	}

	for(int i=0; i<(int)temp_vertex_normal.size() ;i++ ){
        float temp_length = length(temp_vertex_normal[i]);
        for (int j=0; j<3 ;j++ ){
			//normalize the normal on vertex
            temp_vertex_normal[i][j] = temp_vertex_normal[i][j] / temp_length;
        }
    }
    vertex_normal = temp_vertex_normal;
    //vertex normals as average of surrounding neibor polygon's normal 
}

void Scanline::getPixelValue(){
	computeVertexNormal();
	//put y value and vertex index in temp_y
    vector< vector<float> > temp_y;
	vector< vector<float> > startVertex;
    vector< vector<float> > nearVertex;
    
    for(int poly_num = 0; poly_num< (int)front_Poly.size();poly_num++){
        temp_y.clear();
		startVertex.clear();
        nearVertex.clear();
        
        //sort the y value in a polygon
        sortYvalue(temp_y,poly_num);

        //find near vertices around start vertice
        findNearVertex(nearVertex, startVertex, temp_y, poly_num);
        //create Edgetable
        Edgetable(startVertex, nearVertex, front_Poly, poly_num);
    }
	computePixelIntensity();
}

void Scanline::sortYvalue(vector< vector<float> > & temp_y, int poly_num){
    for(int i=1; i< front_Poly[poly_num][0]+1; i++){
        vector<float> temp;
		//put in the index of vertice in one polygon
        temp.push_back(front_Poly[poly_num][i]-1);
		//put in the y value of vertice in one polygon
        temp.push_back(round_vertex[front_Poly[poly_num][i]-1][1]);
        if(i == 1){
            temp.push_back(front_Poly[poly_num][front_Poly[poly_num][0]]-1);
            //front vertex
            temp.push_back(front_Poly[poly_num][i+1]-1); //back vertex
        }
        else if (i == front_Poly[poly_num][0]){
            temp.push_back(front_Poly[poly_num][i-1]-1); //front vertex
            temp.push_back(front_Poly[poly_num][1]-1); //back vertex
        }
        else{
            temp.push_back(front_Poly[poly_num][i-1]-1); //front vertex
            temp.push_back(front_Poly[poly_num][i+1]-1); //back vertex
        }
        temp_y.push_back(temp);
    }
    //sort the vertices in one polygon by y value
    for(int i=0;i<(int)temp_y.size() - 1;i++)
        for(int j=0; j<(int)temp_y.size()-i-1; j++)
            if(temp_y[j][1] > temp_y[j+1][1])
                swap(temp_y[j],temp_y[j+1]);
}

void Scanline::roundUpVertex(vector< vector<float> > &round_vertex, vector< vector<float> > deviceVertex){
	//round up x, y value
    round_vertex = deviceVertex;
	for(int i=0;i<(int)round_vertex.size();i++){
		if(deviceVertex[i].size() == 5){
        for(int j=0;j<4;j++)
            if(j < 2)
                round_vertex[i][j] = ceil(device_vertex[i][j]);
		}
	}
}

void Scanline::findNearVertex(vector< vector<float> > &nearVertex, vector< vector<float> > &startVertex, vector< vector<float> >temp_y, int poly_num){
	//find the vertices near the start vertice which is sorted by y value
    for (int i = 0; i < (int)temp_y.size() ; i++){
        vector< float > temp_0(round_vertex[temp_y[i][0]]);
        temp_0[4] = temp_y[i][0];//real index
		temp_0.insert(temp_0.end(),vertex_normal[temp_y[i][0]].begin(),
                      vertex_normal[temp_y[i][0]].end());
        startVertex.push_back(temp_0); //start vertex index from 0
    
        vector< float > temp_1(round_vertex[temp_y[i][2]]);
        vector< float > temp_2(round_vertex[temp_y[i][3]]);
        temp_1[4] = temp_y[i][2];
        temp_2[4] = temp_y[i][3];
		temp_1.insert(temp_1.end(),vertex_normal[temp_y[i][2]].begin(),
                      vertex_normal[temp_y[i][2]].end());

        temp_2.insert(temp_2.end(),vertex_normal[temp_y[i][3]].begin(),
                      vertex_normal[temp_y[i][3]].end());
        
        nearVertex.push_back(temp_1);
        nearVertex.push_back(temp_2);
    }}

void Scanline::Edgetable(vector< vector<float> > startVertex, vector< vector<float> > nearVertex, vector< vector<int> >front_Poly, int poly_num)
{   //put edge value in edge table
    vector<float> edgeValue;
    vector <EdgeTable> ET(Ymax);
	//check if an edge is already in edgetable
    vector<int> check;
    float xSlope;
    float zSlope;
	float NxSlope;
    float NySlope;
    float NzSlope;
    for(int i = 0; i< (int)startVertex.size();i++){
        for(int j = 0; j<2 ;j++){
            edgeValue.clear();
           //test if one edge is already in edgetable by comparing the sum of index
            if(find(check.begin(), check.end(), startVertex[i][4] * nearVertex[i*2 + j][4]) != check.end())
                continue;
			//add the sum of index in the check vector
            else
                check.push_back(startVertex[i][4] * nearVertex[i*2 + j][4]);
            //check horizontal edge and delete them
            if((startVertex[i][1] == nearVertex[i*2 + j][1]) && startVertex[i][0] != nearVertex[i*2 + j][0]){
                continue;
            }
            else if((startVertex[i][1] == nearVertex[i*2 + j][1]) && startVertex[i][0] == nearVertex[i*2 + j][0]){
				//dot overlapped
                xSlope = 0;
            }
            else
				//compute x slope 1/m 
                xSlope = (startVertex[i][0]-nearVertex[i*2 + j][0])/ (startVertex[i][1]-nearVertex[i*2 + j][1]);
            //find y max 
           
            edgeValue.push_back(nearVertex[i*2 + j][1]);
            
            //put x start in edgeValue
            edgeValue.push_back(startVertex[i][0]);
            edgeValue.push_back(xSlope);

            //compute z increment
            
			if(startVertex[i][1] == nearVertex[i*2 + j][1]){
                zSlope = 0;
				NxSlope = 0;
                NySlope = 0;
                NzSlope = 0;
            }
            else{
				//compute zSlope
                zSlope = (nearVertex[i*2 + j][2] - startVertex[i][2])/ (nearVertex[i*2 + j][1] - startVertex[i][1]);
                NxSlope = (nearVertex[i*2 + j][5] - startVertex[i][5])/ (nearVertex[i*2 + j][1] - startVertex[i][1]);
                NySlope = (nearVertex[i*2 + j][6] - startVertex[i][6])/ (nearVertex[i*2 + j][1] - startVertex[i][1]);
                NzSlope = (nearVertex[i*2 + j][7] - startVertex[i][7])/ (nearVertex[i*2 + j][1] - startVertex[i][1]);
			}
            //put in Edge table
            ET[startVertex[i][1]].insertValue(edgeValue[0] , 
				startVertex[i][0], xSlope, 
				startVertex[i][2], zSlope, 
				startVertex[i][5], NxSlope,
                startVertex[i][6], NySlope,
                startVertex[i][7], NzSlope);
        }
    }
    //apply active edge table
    activeEdgeTable(ET,poly_num);
}

void Scanline::activeEdgeTable(vector <EdgeTable> ET, int poly_num){
    vector<float> temp;
    vector< vector<float>* > AET;
    int start = 0;
    float zBuffer;
	float NxBuffer;//normal x
    float NyBuffer;//normal y
    float NzBuffer;//normal z
    for(int y_min = 0; y_min< (int)ET.size(); y_min++) {
		//no edge in ET
        if(ET[y_min].count == 0 && start==0)
            continue; 
		//exist edge in ET
        else{
            start=1;

            //put edge value from ET to AET
            for(int i = 0; i< ET[y_min].count;i++){
                AET.push_back( ET[y_min].getEdgeValue(i));
            }

			//Remove from AET entries of which y = ymax
           for(int j = 0; j< (int)AET.size();j++){
                if((*AET[j])[0] == y_min){
                    AET.erase(AET.begin()+j);
                    j--;
                }
            }

		   if((int)AET.size() %2 !=0){
               AET.erase(AET.begin());
			}

            if(AET.size()==0)
                break;
            //sort AET by x value
            for(int i =0; i <( int)AET.size() - 1;i++)
                for(int j=0; j <( int)AET.size()-i-1; j++)
                    if((*AET[j])[1] >(*AET[j+1])[1])
                        swap(AET[j], AET[j+1]);

            for(int j = 0; j< (int)AET.size();j+=2){
                if(ceil((*AET[j])[1]) == ceil((*AET[j+1])[1])){
                    zBuffer = 0;
				    NxBuffer = 0;
                    NyBuffer = 0;
                    NzBuffer = 0;
				}
                else{
                    zBuffer = ((*AET[j+1])[3] - (*AET[j])[3])/ (ceil((*AET[j+1])[1]) - ceil((*AET[j])[1]));
                    NxBuffer = ((*AET[j+1])[5] - (*AET[j])[5])/(ceil((*AET[j+1])[1]) - ceil((*AET[j])[1]));
                    NyBuffer = ((*AET[j+1])[7] - (*AET[j])[7])/(ceil((*AET[j+1])[1]) - ceil((*AET[j])[1]));
                    NzBuffer = ((*AET[j+1])[9] - (*AET[j])[9])/(ceil((*AET[j+1])[1]) - ceil((*AET[j])[1]));
                }            
				for(int X_value = (int)ceil((*AET[j])[1]); X_value<= (int)floor((*AET[j+1])[1]);X_value++){
                    //Z value
                    if(X_value == ceil((*AET[j])[1])){
                        pixel_zBuffer[y_min][X_value][1] = (*AET[j])[3];
						pixel_zBuffer[y_min][X_value][2] = (*AET[j])[5];
                        pixel_zBuffer[y_min][X_value][3] = (*AET[j])[7];
                        pixel_zBuffer[y_min][X_value][4] = (*AET[j])[9];
					}
                    else{
                        pixel_zBuffer[y_min][X_value][1] = pixel_zBuffer[y_min][X_value -1][1] + zBuffer;
						pixel_zBuffer[y_min][X_value][2] =
                            pixel_zBuffer[y_min][X_value -1 ][2] + NxBuffer;
                        pixel_zBuffer[y_min][X_value][3] =
                            pixel_zBuffer[y_min][X_value -1 ][3] + NyBuffer;
                        pixel_zBuffer[y_min][X_value][4] =
                            pixel_zBuffer[y_min][X_value -1 ][4] + NzBuffer;
					}
                    if(pixels[y_min][X_value][0] == 0){
                    //if there doesn't exit a pixel
                        pixels[y_min][X_value][0]= 1;
                        pixels[y_min][X_value][1] = pixel_zBuffer[y_min][X_value][1];
                        pixels[y_min][X_value][2] = pixel_zBuffer[y_min][X_value][2];
                        pixels[y_min][X_value][3] = pixel_zBuffer[y_min][X_value][3];
                        pixels[y_min][X_value][4] = pixel_zBuffer[y_min][X_value][4];
                    }
                    else if(pixel_zBuffer[y_min][X_value][1] < pixels[y_min][X_value][1]){
                        //while exist a nearer pixel
                        pixels[y_min][X_value][1]= pixel_zBuffer[y_min][X_value][1];
                        pixels[y_min][X_value][2] = pixel_zBuffer[y_min][X_value][2];
                        pixels[y_min][X_value][3] = pixel_zBuffer[y_min][X_value][3];
                        pixels[y_min][X_value][4] = pixel_zBuffer[y_min][X_value][4];
                    }
                }
            }
       
            for(int j = 0; j< (int)AET.size();j++){
				//replace x by x + xSlope
               (*AET[j])[1] += (*AET[j])[2];
                //replace z by z + xSlope
               (*AET[j])[3] += (*AET[j])[4];
			   (*AET[j])[5] += (*AET[j])[6];//Normal x
               (*AET[j])[7] += (*AET[j])[8];//Normal y
               (*AET[j])[9] += (*AET[j])[10];//Normal z
            }
        }
    }
}

void Scanline::computePixelIntensity(){
    vector <float> L_diffuse(3);
    vector <float> L_specular(3);
	vector <float> L_ambient(3);
	vector <float> lightSource(3);
	lightSource[0] = 0; //R
    lightSource[1] = 1; //G
    lightSource[2] = 0; //B

    for (int i = 0; i< Ymax ; i++ )
    	for (int j = 0; j< Xmax ; j++ ){
    	    vector<float> pixel_normal(pixels[i][j].begin()+2,pixels[i][j].end());
    	    float temp_length = length(pixel_normal);
            for (int k=0; k<3 ;k++ ){
				//normalize the pixel normal
                pixel_normal[k] = pixel_normal[k] / temp_length;

            }

            for (int k = 0; k< 3 ; k++ ){
                L_diffuse[k] = Kd * lightSource[k] * dotProduct(pixel_normal,lightDir);
                L_specular[k] = Ks * lightSource[k] * pow(dotProduct(pixel_normal,h_vector),70);
				L_ambient[k] = Ka * lightSource[k];

                pixels[i][j][k+2] = L_diffuse[k] + L_specular[k] + L_ambient[k];
				if(pixels[i][j][k+2] > 1)
					 pixels[i][j][k+2] = 1.0;
            }

    	}
}

void Scanline::setDeviceCoord(int x, int X,int y, int Y)
{   //set Device coordinates
    Xmin = x;
    Xmax = X;
    Ymin = y;
    Ymax = Y;
    //initialize pixels vector
    vector< vector < vector <float> > > temp(Ymax,vector< vector< float > >(Xmax,vector < float > (5)));
	for (int i = 0; i< Ymax ; i++ )
    	for (int j = 0; j< Xmax ; j++ )
    		temp[i][j][1] = -1000;
	pixel_zBuffer = temp;
	pixels = temp;
}

void Scanline::subtraction(vector<float> &vector_0, vector<float> vector_1, vector<float> vector_2){
	for(int i = 0; i < 3; i++)
		vector_0[i] = vector_2[i] - vector_1[i];
}

void Scanline::crossProduct(vector<float> &vector_0, vector<float> vector_1, vector<float> vector_2){
	vector_0[0] = vector_1[1]*vector_2[2] - vector_2[1]*vector_1[2];
    vector_0[1] = -(vector_1[0]*vector_2[2] - vector_2[0]*vector_1[2]);
    vector_0[2] = vector_1[0]*vector_2[1] - vector_2[0]*vector_1[1];
}

float Scanline::dotProduct(vector<float> vector_1, vector<float> vector_2){
	return vector_1[0]*vector_2[0] + vector_1[1]*vector_2[1] +
           vector_1[2]*vector_2[2];
}

float Scanline::length(vector<float> vector_1){
	return sqrt(vector_1[0]*vector_1[0] + vector_1[1]*vector_1[1] + vector_1[2]*vector_1[2]);
}

void Scanline::sum(vector<float> &vector_0, vector<float> vector_1, vector<float> vector_2){
	for(int i = 0; i < 3; i++)
		vector_0[i] = vector_2[i] + vector_1[i];
}

Scanline::~Scanline()
{
}

Scanline.h

#include "stdafx.h"
#include <iostream>
#include <vector>
#include "EdgeTable.h"

#ifndef Scanline_H
#define Scanline_H

using namespace std;

class Scanline{
    public:
		//store pixels data
        vector< vector< vector<float> > > pixels;
		//put front polygons and vertices into scanline function
        Scanline(vector< vector<int> >,vector< vector<int> > , vector< vector<float> >, vector< vector<float> >);

		void computeVertexNormal();

		//compute pixel values for each polygon
        void getPixelValue();

		//sort the vertices by y value in a polygon
        void sortYvalue(vector< vector<float> > & ,int);
		//round up x, y value
        void roundUpVertex(vector< vector<float> > &, vector< vector<float> > );
		//find near vertices by start vertices which are sorted by y value
        void findNearVertex(vector< vector<float> > &,vector< vector<float> > &, vector< vector<float> >, int);
        //put edge value in edge table
        void Edgetable(vector< vector<float> > , vector< vector<float> > ,vector< vector<int> >,int);
        //active edge table
        void activeEdgeTable(vector <EdgeTable>,int);
	    void computePixelIntensity();
        //set device coordinate
        void setDeviceCoord(int,int,int,int);
		void subtraction(vector<float> &, vector<float>, vector<float>);
		void crossProduct(vector<float> &, vector<float>, vector<float>);
		float dotProduct(vector<float>, vector<float>);
		float length(vector<float>);
		void sum(vector<float> &, vector<float>, vector<float>);

        
        virtual ~Scanline();

    protected:

    private:
        vector< vector<int> > front_Poly;
        vector< vector<float> > device_vertex;
        vector< vector<float> > round_vertex;
		vector< vector<float> > world_vertex;
		vector< vector<float> > vertex_normal;
        vector< vector<float> > lightIntensity;
		vector<float> h_vector;
		vector< vector< vector<float> > > pixel_zBuffer;
		vector <float> lightDir;
        vector <float> viewDir;

        int Xmin;
        int Ymin;
        int Xmax;
        int Ymax;
		float Kd;
        float Ks;
        float Ka;
};

#endif