Added PBR.

include/geometry.h

@@ -33,7 +33,7 @@ class Frustrum{
         };
     public:
         float  fov, AR, near, far , nearH, nearW, farH, farW;
-        Frustrum(float ratio): fov(90), near(0.01), far(1000), AR(ratio){};
+        Frustrum(float ratio): fov(90), near(0.1), far(100), AR(ratio){};
         Plane pl[6];
 
         void setCamInternals();

include/model.h

@@ -14,6 +14,8 @@ class Model{
             mAlbedo(basePath + "_albedo.png", "RGB"),
             mNormal(basePath + "_normal.png", "XYZ"),
             mAmbient(basePath + "_ao.png", "BW"),
+            mRoughness(basePath + "_rough.png", "BW"),
+            mMetallic(basePath + "_metal.png", "BW"),
             mModelMatrix(Matrix4::transformMatrix(initParameters))
         {   
             OBJ::buildMeshFromFile(mMesh, basePath + "_mesh.obj");
@@ -29,6 +31,9 @@ class Model{
         Texture *getAlbedo();
         Texture *getNormal();
         Texture *getAO();
+        Texture *getRoughness();
+        Texture *getMetallic();
+
 
         void update();
 
@@ -39,6 +44,9 @@ class Model{
         Texture mAlbedo;
         Texture mNormal;
         Texture mAmbient;
+        Texture mRoughness;
+        Texture mMetallic;
+
         Mesh mMesh;
         AABox mBounds;
         Matrix4 mModelMatrix;

include/shader.h

@@ -149,8 +149,8 @@ struct BlinnPhongShader : public IShader {
 
 };
 
-// Shader that uses normal mapping instead of vertex normal interpolation
-struct NormalMapShader : public IShader {
+// Shader that uses texture mapping extensively
+struct TextureMapShader : public IShader {
     //Variables set per model
     Texture *albedoT, *normalT, *ambientOT;
     Matrix4 MVP, MV, V, M, N;
@@ -221,6 +221,129 @@ struct NormalMapShader : public IShader {
 
 };
 
+// Shader that uses texture mapping and a PBR approach for shading
+// Uses a cook-torrance BRDF for direct light sources. 
+struct PBRShader : public IShader {
+    //Variables set per model
+    Texture *albedoT, *normalT, *ambientOT, *roughT, *metalT;
+    Matrix4 MVP, MV, V, M, N;
+    Vector3f cameraPos;
+
+    //Light Variables
+    Vector3f lightColor{1,1,1}, F0{0.04, 0.04, 0.04}, F0corrected; //Default value dielectric
+    float nDotL, nDotV, ambientInt = 0.1;
+    Vector3f lightDir[3];
+
+    //Variables set per vertex
+    Vector3f viewDir[3], texCoords[3];
+    Vector3f normal_WS, tangent_WS, biTangent_WS;
+    Matrix4 TBN;
+    
+    //Interpolated variables
+    Vector3f interpCoords, interpLightDir,
+             interpNormal, interpViewDir,
+             interpCol;
+
+    //Per fragment
+    Vector3f F, NDF, G ; //Fresnel, normal distribution function and geometry occlusion 
+    Vector3f halfwayDir, radianceOut, ambient;
+    Vector3f specular, kD, kS;
+    float interpRough, interpAO, interpMetal;
+
+    //BRDF functions
+    Vector3f fresnelSchlick(float cosTheta, Vector3f &fresnel0 ){
+        return fresnel0 + (Vector3f(1.0)- fresnel0)* std::pow(1.0 - cosTheta, 5.0);
+    }
+    float distributionGGX(Vector3f normal, Vector3f halfway, float roughness){
+        float a      = roughness*roughness;
+        float a2     = a*a;
+        float NdotH  = std::max(normal.dotProduct(halfway), 0.0f);
+        float NdotH2 = NdotH*NdotH;
+        
+        float denom = (NdotH2 * (a2 - 1.0) + 1.0);
+        denom = M_PI * denom * denom;
+        
+        return a2 / denom;
+    }
+    float GeometrySchlickGGX(float NdotV, float roughness){
+        float r = (roughness + 1.0); 
+        float k = (r*r) / 8.0; //Only useful for direct lighting must be changed in ibr
+        float denom = NdotV * (1.0 - k) + k;
+        
+        return NdotV / denom;
+    }
+    float GeometrySmith(float roughness){
+        return GeometrySchlickGGX(nDotL, roughness) * GeometrySchlickGGX(nDotV, roughness);
+    }
+
+    //Vertex shader
+    Vector3f vertex(const Vector3f &vertex, const Vector3f &normal,const Vector3f &textureVals, const Vector3f &tangent, const Vector3f &light, int index) override{
+        //Creating TBN matrix
+        normal_WS     = N.matMultDir(normal).normalized();
+        tangent_WS    = N.matMultDir(tangent).normalized();
+        biTangent_WS  = normal_WS.crossProduct(tangent_WS);
+        TBN = Matrix4::TBNMatrix(tangent_WS, biTangent_WS, normal_WS);
+        
+        //Getting UV coordinates for use in all textures
+        texCoords[index] = textureVals;
+
+        //Passing all lighting related data to tangent space
+        lightDir[index]  = TBN.matMultVec(light);
+        viewDir[index]   = TBN.matMultVec(cameraPos - M.matMultVec(vertex));
+        
+        return MVP.matMultVec(vertex);
+    }
+
+    //Fragment shader
+    Vector3f fragment(float u, float v) override{
+        //Interpolated stuff
+        interpCoords   = texCoords[0] + (texCoords[1] - texCoords[0])* u + (texCoords[2] - texCoords[0]) * v;
+        interpLightDir = lightDir[0] + (lightDir[1] - lightDir[0])* u + (lightDir[2] - lightDir[0]) * v;
+        interpViewDir  = viewDir[0] + (viewDir[1] - viewDir[0])* u + (viewDir[2] - viewDir[0]) * v;
+
+        //Reading data from textures for use in lighting calculations
+        interpCol    = albedoT->getPixelVal(interpCoords.x, interpCoords.y);
+        interpAO     = ambientOT->getIntensityVal(interpCoords.x, interpCoords.y);
+        interpRough  = roughT->getIntensityVal(interpCoords.x, interpCoords.y);
+        interpMetal  = metalT->getIntensityVal(interpCoords.x, interpCoords.y);
+        interpNormal = normalT->getPixelVal(interpCoords.x, interpCoords.y);
+        interpNormal = interpNormal.normalized();
+        interpViewDir = interpViewDir.normalized();
+
+        //Setting up Direct Lighting variables
+        halfwayDir = (interpLightDir + interpViewDir).normalized();
+        nDotV = std::max(interpNormal.dotProduct(interpViewDir), 0.0f);
+        nDotL = std::max(interpNormal.dotProduct(interpLightDir), 0.0f);
+        F0corrected = (F0 * (1.0f-interpMetal)) + (interpCol * interpMetal);//Varying f0 based on metallicness of surface
+        radianceOut.zero();
+
+        //TODO:: Iterate through every light and set radiance 
+        //We assume the only light in the scene is the sun so there is no attenuation
+        
+        //Setting up BRDF
+        F   = fresnelSchlick(std::max(halfwayDir.dotProduct(interpViewDir), 0.0f), F0corrected);
+        NDF = distributionGGX(interpNormal, halfwayDir, interpRough); 
+        G   = GeometrySmith(interpRough);
+
+        //Calculating specular component of BRDF
+        Vector3f numerator = F * (G*NDF);
+        float invDenominator  = 1 / std::max(4.0 * nDotL * nDotV, 0.001);
+        specular  = numerator * invDenominator;
+
+        //Calculating the full rendering equation for a single light
+        kS = F;
+        kD = (Vector3f(1.0) - kS);
+        kD = kD * (1.0f - interpMetal); 
+        radianceOut = ( (kD * (interpCol * (1/M_PI)) + specular ) * nDotL * lightColor);
+
+        //Simplistic ambient term
+        ambient =  interpCol * (ambientInt * interpAO);
+
+        return ambient + radianceOut;
+    }
+
+};
+
 
 
 

include/vector3D.h

@@ -101,6 +101,12 @@ struct Vector3{
         }
         printf(str.c_str(),x,y,z);
     }
+
+    void zero() {
+        x = 0;
+        y = 0; 
+        z = 0;
+    }
 };
 
 //Shorthands for the common vector types we use

scenes/teapot/teapot.mtl

@@ -1,22 +0,0 @@
-# Blender MTL File: 'teapot.blend'
-# Material Count: 2
-
-newmtl Material.005
-Ns 96.078431
-Ka 1.000000 1.000000 1.000000
-Kd 0.640000 0.640000 0.640000
-Ks 0.500000 0.500000 0.500000
-Ke 0.000000 0.000000 0.000000
-Ni 1.000000
-d 1.000000
-illum 2
-
-newmtl None
-Ns 0.000000
-Ka 0.000000 0.000000 0.000000
-Kd 0.800000 0.800000 0.800000
-Ks 0.800000 0.800000 0.800000
-Ke 0.000000 0.000000 0.000000
-Ni 1.000000
-d 1.000000
-illum 2

scenes/teapot/teapot_mesh2.obj

@@ -1,18882 +0,0 @@
-# Blender v2.79 (sub 0) OBJ File: 'test.blend'
-# www.blender.org
-mtllib teapot.mtl
-o Utahteapot
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-f 1868//1868 1794//1794 1867//1867
-f 1868//1868 1965//1965 1869//1869
-f 1869//1869 1795//1795 1868//1868
-f 1869//1869 1966//1966 1967//1967
-f 1967//1967 1870//1870 1869//1869
-f 1796//1796 1870//1870 1968//1968
-f 1968//1968 1871//1871 1796//1796
-f 1797//1797 1871//1871 1969//1969
-f 1969//1969 1872//1872 1797//1797
-f 1798//1798 1872//1872 1970//1970
-f 1970//1970 1873//1873 1798//1798
-f 1799//1799 1873//1873 1971//1971
-f 1971//1971 1874//1874 1799//1799
-f 1800//1800 1874//1874 1972//1972
-f 1972//1972 1875//1875 1800//1800
-f 1876//1876 1801//1801 1875//1875
-f 1875//1875 1973//1973 1876//1876
-f 1876//1876 1974//1974 1877//1877
-f 1877//1877 1802//1802 1876//1876
-f 1877//1877 1975//1975 1878//1878
-f 1878//1878 1803//1803 1877//1877
-f 1805//1805 1976//1976 1926//1926
-f 1926//1926 1804//1804 1805//1805
-f 1806//1806 1977//1977 1976//1976
-f 1976//1976 1805//1805 1806//1806
-f 1807//1807 1978//1978 1977//1977
-f 1977//1977 1806//1806 1807//1807
-f 1808//1808 1979//1979 1978//1978
-f 1978//1978 1807//1807 1808//1808
-f 1809//1809 1980//1980 1979//1979
-f 1979//1979 1808//1808 1809//1809
-f 1878//1878 1981//1981 1980//1980
-f 1980//1980 1809//1809 1878//1878
-f 1811//1811 1810//1810 1982//1982
-f 1982//1982 1983//1983 1811//1811
-f 1709//1709 1811//1811 1983//1983
-f 1983//1983 1885//1885 1709//1709
-f 1710//1710 1812//1812 1984//1984
-f 1984//1984 1886//1886 1710//1710
-f 1817//1817 1985//1985 1887//1887
-f 1887//1887 1813//1813 1817//1817
-f 1887//1887 1986//1986 1888//1888
-f 1888//1888 1814//1814 1887//1887
-f 1888//1888 1987//1987 1889//1889
-f 1889//1889 1815//1815 1888//1888
-f 1899//1899 1988//1988 1900//1900
-f 1900//1900 1816//1816 1899//1899
-f 1900//1900 1989//1989 1985//1985
-f 1985//1985 1817//1817 1900//1900
-f 1990//1990 1901//1901 1902//1902
-f 1902//1902 1991//1991 1990//1990
-f 1992//1992 1903//1903 1818//1818
-f 1818//1818 1901//1901 1992//1992
-f 1902//1902 1819//1819 1904//1904
-f 1904//1904 1993//1993 1902//1902
-f 1994//1994 1905//1905 1820//1820
-f 1820//1820 1903//1903 1994//1994
-f 1904//1904 1821//1821 1906//1906
-f 1906//1906 1995//1995 1904//1904
-f 1996//1996 1907//1907 1822//1822
-f 1822//1822 1905//1905 1996//1996
-f 1906//1906 1823//1823 1908//1908
-f 1908//1908 1997//1997 1906//1906
-f 1998//1998 1909//1909 1824//1824
-f 1824//1824 1907//1907 1998//1998
-f 1908//1908 1825//1825 1910//1910
-f 1910//1910 1999//1999 1908//1908
-f 2000//2000 1911//1911 1826//1826
-f 1826//1826 1909//1909 2000//2000
-f 1910//1910 1827//1827 1912//1912
-f 1912//1912 2001//2001 1910//1910
-f 2002//2002 1913//1913 1828//1828
-f 1828//1828 1911//1911 2002//2002
-f 1912//1912 1829//1829 1914//1914
-f 1914//1914 2003//2003 1912//1912
-f 2004//2004 1915//1915 1830//1830
-f 1830//1830 1913//1913 2004//2004
-f 1914//1914 1831//1831 1916//1916
-f 1916//1916 2005//2005 1914//1914
-f 2006//2006 1917//1917 1832//1832
-f 1832//1832 1915//1915 2006//2006
-f 1916//1916 1833//1833 1918//1918
-f 1918//1918 2007//2007 1916//1916
-f 2008//2008 1919//1919 1834//1834
-f 1834//1834 1917//1917 2008//2008
-f 1918//1918 1835//1835 1920//1920
-f 1920//1920 2009//2009 1918//1918
-f 2010//2010 1921//1921 1836//1836
-f 1836//1836 1919//1919 2010//2010
-f 1920//1920 1837//1837 1922//1922
-f 1922//1922 2011//2011 1920//1920
-f 2012//2012 1923//1923 1838//1838
-f 1838//1838 1921//1921 2012//2012
-f 1922//1922 1839//1839 1924//1924
-f 1924//1924 2013//2013 1922//1922
-f 2014//2014 1925//1925 1840//1840
-f 1840//1840 1923//1923 2014//2014
-f 1924//1924 1844//1844 1930//1930
-f 1930//1930 2015//2015 1924//1924
-f 2016//2016 1931//1931 1845//1845
-f 1845//1845 1925//1925 2016//2016
-f 1926//1926 2017//2017 1927//1927
-f 1927//1927 1841//1841 1926//1926
-f 1842//1842 1927//1927 2018//2018
-f 2018//2018 1928//1928 1842//1842
-f 1843//1843 1928//1928 2019//2019
-f 2019//2019 1929//1929 1843//1843
-f 1930//1930 1929//1929 2020//2020
-f 2020//2020 2021//2021 1930//1930
-f 2022//2022 2023//2023 1932//1932
-f 1932//1932 1931//1931 2022//2022
-f 1932//1932 1950//1950 1854//1854
-f 1854//1854 1846//1846 1932//1932
-f 2024//2024 2025//2025 2026//2026
-f 2026//2026 2027//2027 2024//2024
-f 2027//2027 2026//2026 2028//2028
-f 1755//1755 2029//2029 1933//1933
-f 1933//1933 1757//1757 1755//1755
-f 1934//1934 1933//1933 2030//2030
-f 2030//2030 2031//2031 1934//1934
-f 1756//1756 1934//1934 1752//1752
-f 1848//1848 1763//1763 2032//2032
-f 2032//2032 1941//1941 1848//1848
-f 1763//1763 1762//1762 2033//2033
-f 2033//2033 2032//2032 1763//1763
-f 1850//1850 1849//1849 1944//1944
-f 1944//1944 2034//2034 1850//1850
-f 1945//1945 1850//1850 2034//2034
-f 2034//2034 2035//2035 1945//1945
-f 1945//1945 1948//1948 1852//1852
-f 1852//1852 1771//1771 1945//1945
-f 1947//1947 1853//1853 1949//1949
-f 1949//1949 2036//2036 1947//1947
-f 1677//1677 1947//1947 1678//1678
-f 1676//1676 2037//2037 1772//1772
-f 1678//1678 1947//1947 2037//2037
-f 1676//1676 1678//1678 2037//2037
-f 1774//1774 2038//2038 1775//1775
-f 1775//1775 2038//2038 2039//2039
-f 2039//2039 1776//1776 1775//1775
-f 1773//1773 2037//2037 2038//2038
-f 2038//2038 1774//1774 1773//1773
-f 1772//1772 2037//2037 1773//1773
-f 2040//2040 1951//1951 1855//1855
-f 1855//1855 1950//1950 2040//2040
-f 2041//2041 2042//2042 1952//1952
-f 1952//1952 1951//1951 2041//2041
-f 1952//1952 2043//2043 1953//1953
-f 1953//1953 1856//1856 1952//1952
-f 1953//1953 2044//2044 1954//1954
-f 1954//1954 1857//1857 1953//1953
-f 1954//1954 2045//2045 1955//1955
-f 1955//1955 1858//1858 1954//1954
-f 1955//1955 2046//2046 1956//1956
-f 1956//1956 1859//1859 1955//1955
-f 1956//1956 2047//2047 1957//1957
-f 1957//1957 1860//1860 1956//1956
-f 1957//1957 2048//2048 1958//1958
-f 1958//1958 1861//1861 1957//1957
-f 1958//1958 2049//2049 1959//1959
-f 1959//1959 1862//1862 1958//1958
-f 1959//1959 2050//2050 1960//1960
-f 1960//1960 1863//1863 1959//1959
-f 1960//1960 2051//2051 1961//1961
-f 1961//1961 1864//1864 1960//1960
-f 1961//1961 2052//2052 1962//1962
-f 1962//1962 1865//1865 1961//1961
-f 1962//1962 2053//2053 1963//1963
-f 1963//1963 1866//1866 1962//1962
-f 1963//1963 2054//2054 1964//1964
-f 1964//1964 1867//1867 1963//1963
-f 1964//1964 2055//2055 1965//1965
-f 1965//1965 1868//1868 1964//1964
-f 1965//1965 2056//2056 1966//1966
-f 1966//1966 1869//1869 1965//1965
-f 1966//1966 2057//2057 2058//2058
-f 2058//2058 1967//1967 1966//1966
-f 1870//1870 1967//1967 2059//2059
-f 2059//2059 1968//1968 1870//1870
-f 1871//1871 1968//1968 2060//2060
-f 2060//2060 1969//1969 1871//1871
-f 1872//1872 1969//1969 2061//2061
-f 2061//2061 1970//1970 1872//1872
-f 1873//1873 1970//1970 2062//2062
-f 2062//2062 1971//1971 1873//1873
-f 1874//1874 1971//1971 2063//2063
-f 2063//2063 1972//1972 1874//1874
-f 1972//1972 2064//2064 1973//1973
-f 1973//1973 1875//1875 1972//1972
-f 1973//1973 2065//2065 1974//1974
-f 1974//1974 1876//1876 1973//1973
-f 1974//1974 2066//2066 1975//1975
-f 1975//1975 1877//1877 1974//1974
-f 1975//1975 2067//2067 1981//1981
-f 1981//1981 1878//1878 1975//1975
-f 1880//1880 1879//1879 1889//1889
-f 1889//1889 2068//2068 1880//1880
-f 1881//1881 1880//1880 2068//2068
-f 2068//2068 2069//2069 1881//1881
-f 1706//1706 1881//1881 2069//2069
-f 2069//2069 1882//1882 1706//1706
-f 1707//1707 1882//1882 2070//2070
-f 2070//2070 1883//1883 1707//1707
-f 1708//1708 1883//1883 2071//2071
-f 2071//2071 1884//1884 1708//1708
-f 1810//1810 1884//1884 2072//2072
-f 2072//2072 1982//1982 1810//1810
-f 1812//1812 1885//1885 2073//2073
-f 2073//2073 1984//1984 1812//1812
-f 1715//1715 1886//1886 2074//2074
-f 2074//2074 1890//1890 1715//1715
-f 1985//1985 2075//2075 1986//1986
-f 1986//1986 1887//1887 1985//1985
-f 1986//1986 2076//2076 1987//1987
-f 1987//1987 1888//1888 1986//1986
-f 1987//1987 2077//2077 2068//2068
-f 2068//2068 1889//1889 1987//1987
-f 1891//1891 1890//1890 2078//2078
-f 2078//2078 2079//2079 1891//1891
-f 1892//1892 1891//1891 2079//2079
-f 2079//2079 2080//2080 1892//1892
-f 1893//1893 1892//1892 2080//2080
-f 2080//2080 2081//2081 1893//1893
-f 1894//1894 1893//1893 2081//2081
-f 2081//2081 2082//2082 1894//1894
-f 1895//1895 1894//1894 2082//2082
-f 2082//2082 2083//2083 1895//1895
-f 1896//1896 1895//1895 2083//2083
-f 2083//2083 2084//2084 1896//1896
-f 1897//1897 1896//1896 2084//2084
-f 2084//2084 2085//2085 1897//1897
-f 1898//1898 1897//1897 2085//2085
-f 2085//2085 2086//2086 1898//1898
-f 1899//1899 1898//1898 2086//2086
-f 2086//2086 2087//2087 1899//1899
-f 1988//1988 1899//1899 2087//2087
-f 2087//2087 2088//2088 1988//1988
-f 1988//1988 2089//2089 1989//1989
-f 1989//1989 1900//1900 1988//1988
-f 2090//2090 1990//1990 1991//1991
-f 1991//1991 2091//2091 2090//2090
-f 2092//2092 1992//1992 1901//1901
-f 1901//1901 1990//1990 2092//2092
-f 1991//1991 1902//1902 1993//1993
-f 1993//1993 2093//2093 1991//1991
-f 2094//2094 1994//1994 1903//1903
-f 1903//1903 1992//1992 2094//2094
-f 1993//1993 1904//1904 1995//1995
-f 1995//1995 2095//2095 1993//1993
-f 2096//2096 1996//1996 1905//1905
-f 1905//1905 1994//1994 2096//2096
-f 1995//1995 1906//1906 1997//1997
-f 1997//1997 2097//2097 1995//1995
-f 2098//2098 1998//1998 1907//1907
-f 1907//1907 1996//1996 2098//2098
-f 1997//1997 1908//1908 1999//1999
-f 1999//1999 2099//2099 1997//1997
-f 2100//2100 2000//2000 1909//1909
-f 1909//1909 1998//1998 2100//2100
-f 1999//1999 1910//1910 2001//2001
-f 2001//2001 2101//2101 1999//1999
-f 2102//2102 2002//2002 1911//1911
-f 1911//1911 2000//2000 2102//2102
-f 2001//2001 1912//1912 2003//2003
-f 2003//2003 2103//2103 2001//2001
-f 2104//2104 2004//2004 1913//1913
-f 1913//1913 2002//2002 2104//2104
-f 2003//2003 1914//1914 2005//2005
-f 2005//2005 2105//2105 2003//2003
-f 2106//2106 2006//2006 1915//1915
-f 1915//1915 2004//2004 2106//2106
-f 2005//2005 1916//1916 2007//2007
-f 2007//2007 2107//2107 2005//2005
-f 2108//2108 2008//2008 1917//1917
-f 1917//1917 2006//2006 2108//2108
-f 2007//2007 1918//1918 2009//2009
-f 2009//2009 2109//2109 2007//2007
-f 2110//2110 2010//2010 1919//1919
-f 1919//1919 2008//2008 2110//2110
-f 2009//2009 1920//1920 2011//2011
-f 2011//2011 2111//2111 2009//2009
-f 2112//2112 2012//2012 1921//1921
-f 1921//1921 2010//2010 2112//2112
-f 2011//2011 1922//1922 2013//2013
-f 2013//2013 2113//2113 2011//2011
-f 2114//2114 2014//2014 1923//1923
-f 1923//1923 2012//2012 2114//2114
-f 2013//2013 1924//1924 2015//2015
-f 2015//2015 2115//2115 2013//2013
-f 2116//2116 2016//2016 1925//1925
-f 1925//1925 2014//2014 2116//2116
-f 2015//2015 1930//1930 2021//2021
-f 2021//2021 2117//2117 2015//2015
-f 2118//2118 2022//2022 1931//1931
-f 1931//1931 2016//2016 2118//2118
-f 1976//1976 2119//2119 2017//2017
-f 2017//2017 1926//1926 1976//1976
-f 2017//2017 2120//2120 2018//2018
-f 2018//2018 1927//1927 2017//2017
-f 1928//1928 2018//2018 2121//2121
-f 2121//2121 2019//2019 1928//1928
-f 1929//1929 2019//2019 2122//2122
-f 2122//2122 2020//2020 1929//1929
-f 2021//2021 2020//2020 2123//2123
-f 2123//2123 2124//2124 2021//2021
-f 2125//2125 2126//2126 2023//2023
-f 2023//2023 2022//2022 2125//2125
-f 2023//2023 2040//2040 1950//1950
-f 1950//1950 1932//1932 2023//2023
-f 2127//2127 2025//2025 2024//2024
-f 2026//2026 2025//2025 2128//2128
-f 2128//2128 2129//2129 2026//2026
-f 2028//2028 2026//2026 2029//2029
-f 2029//2029 2130//2130 2028//2028
-f 2130//2130 2029//2029 1755//1755
-f 1755//1755 1754//1754 2130//2130
-f 1933//1933 2029//2029 2131//2131
-f 2131//2131 2030//2030 1933//1933
-f 2031//2031 2132//2132 1939//1939
-f 1939//1939 1934//1934 2031//2031
-f 1762//1762 1936//1936 2133//2133
-f 2133//2133 2033//2033 1762//1762
-f 1936//1936 1939//1939 2132//2132
-f 2132//2132 2133//2133 1936//1936
-f 1765//1765 1941//1941 2134//2134
-f 2134//2134 1942//1942 1765//1765
-f 1943//1943 1942//1942 2135//2135
-f 2135//2135 2136//2136 1943//1943
-f 1944//1944 1943//1943 2136//2136
-f 2136//2136 2137//2137 1944//1944
-f 2034//2034 1944//1944 2137//2137
-f 2137//2137 2138//2138 2034//2034
-f 2035//2035 2139//2139 1948//1948
-f 1948//1948 1945//1945 2035//2035
-f 2036//2036 2140//2140 2037//2037
-f 2037//2037 1947//1947 2036//2036
-f 1949//1949 1948//1948 2139//2139
-f 2139//2139 2141//2141 1949//1949
-f 2036//2036 1949//1949 2141//2141
-f 2141//2141 2142//2142 2036//2036
-f 1776//1776 2039//2039 1777//1777
-f 1777//1777 2039//2039 2143//2143
-f 2143//2143 1778//1778 1777//1777
-f 2039//2039 2038//2038 2144//2144
-f 2144//2144 2145//2145 2039//2039
-f 2038//2038 2037//2037 2140//2140
-f 2140//2140 2144//2144 2038//2038
-f 2146//2146 2041//2041 1951//1951
-f 1951//1951 2040//2040 2146//2146
-f 1778//1778 2143//2143 1779//1779
-f 2147//2147 2148//2148 2042//2042
-f 2042//2042 2041//2041 2147//2147
-f 2042//2042 2149//2149 2043//2043
-f 2043//2043 1952//1952 2042//2042
-f 2043//2043 2150//2150 2044//2044
-f 2044//2044 1953//1953 2043//2043
-f 2044//2044 2151//2151 2045//2045
-f 2045//2045 1954//1954 2044//2044
-f 2045//2045 2152//2152 2046//2046
-f 2046//2046 1955//1955 2045//2045
-f 2046//2046 2153//2153 2047//2047
-f 2047//2047 1956//1956 2046//2046
-f 2047//2047 2154//2154 2048//2048
-f 2048//2048 1957//1957 2047//2047
-f 2048//2048 2155//2155 2049//2049
-f 2049//2049 1958//1958 2048//2048
-f 2049//2049 2156//2156 2050//2050
-f 2050//2050 1959//1959 2049//2049
-f 2050//2050 2157//2157 2051//2051
-f 2051//2051 1960//1960 2050//2050
-f 2051//2051 2158//2158 2052//2052
-f 2052//2052 1961//1961 2051//2051
-f 2052//2052 2159//2159 2053//2053
-f 2053//2053 1962//1962 2052//2052
-f 2053//2053 2160//2160 2054//2054
-f 2054//2054 1963//1963 2053//2053
-f 2054//2054 2161//2161 2055//2055
-f 2055//2055 1964//1964 2054//2054
-f 2055//2055 2162//2162 2056//2056
-f 2056//2056 1965//1965 2055//2055
-f 2056//2056 2163//2163 2057//2057
-f 2057//2057 1966//1966 2056//2056
-f 2057//2057 2164//2164 2165//2165
-f 2165//2165 2058//2058 2057//2057
-f 1967//1967 2058//2058 2166//2166
-f 2166//2166 2059//2059 1967//1967
-f 1968//1968 2059//2059 2167//2167
-f 2167//2167 2060//2060 1968//1968
-f 1969//1969 2060//2060 2168//2168
-f 2168//2168 2061//2061 1969//1969
-f 1970//1970 2061//2061 2169//2169
-f 2169//2169 2062//2062 1970//1970
-f 1971//1971 2062//2062 2170//2170
-f 2170//2170 2063//2063 1971//1971
-f 1972//1972 2063//2063 2171//2171
-f 2171//2171 2064//2064 1972//1972
-f 2064//2064 2172//2172 2065//2065
-f 2065//2065 1973//1973 2064//2064
-f 2065//2065 2173//2173 2066//2066
-f 2066//2066 1974//1974 2065//2065
-f 2066//2066 2174//2174 2067//2067
-f 2067//2067 1975//1975 2066//2066
-f 1977//1977 2175//2175 2119//2119
-f 2119//2119 1976//1976 1977//1977
-f 1978//1978 2176//2176 2175//2175
-f 2175//2175 1977//1977 1978//1978
-f 1979//1979 2177//2177 2176//2176
-f 2176//2176 1978//1978 1979//1979
-f 1980//1980 2178//2178 2177//2177
-f 2177//2177 1979//1979 1980//1980
-f 1981//1981 2179//2179 2178//2178
-f 2178//2178 1980//1980 1981//1981
-f 2067//2067 2180//2180 2179//2179
-f 2179//2179 1981//1981 2067//2067
-f 1983//1983 1982//1982 2181//2181
-f 2181//2181 2182//2182 1983//1983
-f 1885//1885 1983//1983 2182//2182
-f 2182//2182 2073//2073 1885//1885
-f 1886//1886 1984//1984 2183//2183
-f 2183//2183 2074//2074 1886//1886
-f 1989//1989 2184//2184 2075//2075
-f 2075//2075 1985//1985 1989//1989
-f 2075//2075 2185//2185 2076//2076
-f 2076//2076 1986//1986 2075//2075
-f 2076//2076 2186//2186 2077//2077
-f 2077//2077 1987//1987 2076//2076
-f 2088//2088 2187//2187 2089//2089
-f 2089//2089 1988//1988 2088//2088
-f 2089//2089 2188//2188 2184//2184
-f 2184//2184 1989//1989 2089//2089
-f 2189//2189 2090//2090 2091//2091
-f 2091//2091 2190//2190 2189//2189
-f 2191//2191 2092//2092 1990//1990
-f 1990//1990 2090//2090 2191//2191
-f 2091//2091 1991//1991 2093//2093
-f 2093//2093 2192//2192 2091//2091
-f 2193//2193 2094//2094 1992//1992
-f 1992//1992 2092//2092 2193//2193
-f 2093//2093 1993//1993 2095//2095
-f 2095//2095 2194//2194 2093//2093
-f 2195//2195 2096//2096 1994//1994
-f 1994//1994 2094//2094 2195//2195
-f 2095//2095 1995//1995 2097//2097
-f 2097//2097 2196//2196 2095//2095
-f 2197//2197 2098//2098 1996//1996
-f 1996//1996 2096//2096 2197//2197
-f 2097//2097 1997//1997 2099//2099
-f 2099//2099 2198//2198 2097//2097
-f 2199//2199 2100//2100 1998//1998
-f 1998//1998 2098//2098 2199//2199
-f 2099//2099 1999//1999 2101//2101
-f 2101//2101 2200//2200 2099//2099
-f 2201//2201 2102//2102 2000//2000
-f 2000//2000 2100//2100 2201//2201
-f 2101//2101 2001//2001 2103//2103
-f 2103//2103 2202//2202 2101//2101
-f 2203//2203 2104//2104 2002//2002
-f 2002//2002 2102//2102 2203//2203
-f 2103//2103 2003//2003 2105//2105
-f 2105//2105 2204//2204 2103//2103
-f 2205//2205 2106//2106 2004//2004
-f 2004//2004 2104//2104 2205//2205
-f 2105//2105 2005//2005 2107//2107
-f 2107//2107 2206//2206 2105//2105
-f 2207//2207 2108//2108 2006//2006
-f 2006//2006 2106//2106 2207//2207
-f 2107//2107 2007//2007 2109//2109
-f 2109//2109 2208//2208 2107//2107
-f 2209//2209 2110//2110 2008//2008
-f 2008//2008 2108//2108 2209//2209
-f 2109//2109 2009//2009 2111//2111
-f 2111//2111 2210//2210 2109//2109
-f 2211//2211 2112//2112 2010//2010
-f 2010//2010 2110//2110 2211//2211
-f 2111//2111 2011//2011 2113//2113
-f 2113//2113 2212//2212 2111//2111
-f 2213//2213 2114//2114 2012//2012
-f 2012//2012 2112//2112 2213//2213
-f 2113//2113 2013//2013 2115//2115
-f 2115//2115 2214//2214 2113//2113
-f 2215//2215 2116//2116 2014//2014
-f 2014//2014 2114//2114 2215//2215
-f 2115//2115 2015//2015 2117//2117
-f 2117//2117 2216//2216 2115//2115
-f 2217//2217 2118//2118 2016//2016
-f 2016//2016 2116//2116 2217//2217
-f 2117//2117 2021//2021 2124//2124
-f 2124//2124 2218//2218 2117//2117
-f 2219//2219 2125//2125 2022//2022
-f 2022//2022 2118//2118 2219//2219
-f 2119//2119 2220//2220 2120//2120
-f 2120//2120 2017//2017 2119//2119
-f 2120//2120 2221//2221 2121//2121
-f 2121//2121 2018//2018 2120//2120
-f 2019//2019 2121//2121 2222//2222
-f 2222//2222 2122//2122 2019//2019
-f 2020//2020 2122//2122 2223//2223
-f 2223//2223 2123//2123 2020//2020
-f 2124//2124 2123//2123 2224//2224
-f 2224//2224 2225//2225 2124//2124
-f 2226//2226 2227//2227 2126//2126
-f 2126//2126 2125//2125 2226//2226
-f 2126//2126 2146//2146 2040//2040
-f 2040//2040 2023//2023 2126//2126
-f 2228//2228 2229//2229 2230//2230
-f 2231//2231 2232//2232 2229//2229
-f 2229//2229 2228//2228 2231//2231
-f 2230//2230 2229//2229 2025//2025
-f 2025//2025 2127//2127 2230//2230
-f 2129//2129 2131//2131 2029//2029
-f 2029//2029 2026//2026 2129//2129
-f 2031//2031 2030//2030 2233//2233
-f 2233//2233 2234//2234 2031//2031
-f 2132//2132 2031//2031 2234//2234
-f 2234//2234 2235//2235 2132//2132
-f 1941//1941 2032//2032 2236//2236
-f 2236//2236 2134//2134 1941//1941
-f 2032//2032 2033//2033 2237//2237
-f 2237//2237 2236//2236 2032//2032
-f 2035//2035 2034//2034 2138//2138
-f 2138//2138 2238//2238 2035//2035
-f 2139//2139 2035//2035 2238//2238
-f 2238//2238 2239//2239 2139//2139
-f 2140//2140 2036//2036 2142//2142
-f 2142//2142 2240//2240 2140//2140
-f 2143//2143 2039//2039 2145//2145
-f 2145//2145 2241//2241 2143//2143
-f 2242//2242 2147//2147 2041//2041
-f 2041//2041 2146//2146 2242//2242
-f 2243//2243 2244//2244 2148//2148
-f 2148//2148 2147//2147 2243//2243
-f 2148//2148 2245//2245 2149//2149
-f 2149//2149 2042//2042 2148//2148
-f 2149//2149 2246//2246 2150//2150
-f 2150//2150 2043//2043 2149//2149
-f 2150//2150 2247//2247 2151//2151
-f 2151//2151 2044//2044 2150//2150
-f 2151//2151 2248//2248 2152//2152
-f 2152//2152 2045//2045 2151//2151
-f 2152//2152 2249//2249 2153//2153
-f 2153//2153 2046//2046 2152//2152
-f 2153//2153 2250//2250 2154//2154
-f 2154//2154 2047//2047 2153//2153
-f 2154//2154 2251//2251 2155//2155
-f 2155//2155 2048//2048 2154//2154
-f 2155//2155 2252//2252 2156//2156
-f 2156//2156 2049//2049 2155//2155
-f 2156//2156 2253//2253 2157//2157
-f 2157//2157 2050//2050 2156//2156
-f 2157//2157 2254//2254 2158//2158
-f 2158//2158 2051//2051 2157//2157
-f 2158//2158 2255//2255 2159//2159
-f 2159//2159 2052//2052 2158//2158
-f 2159//2159 2256//2256 2160//2160
-f 2160//2160 2053//2053 2159//2159
-f 2160//2160 2257//2257 2161//2161
-f 2161//2161 2054//2054 2160//2160
-f 2161//2161 2258//2258 2162//2162
-f 2162//2162 2055//2055 2161//2161
-f 2162//2162 2259//2259 2163//2163
-f 2163//2163 2056//2056 2162//2162
-f 2163//2163 2260//2260 2164//2164
-f 2164//2164 2057//2057 2163//2163
-f 2164//2164 2261//2261 2262//2262
-f 2262//2262 2165//2165 2164//2164
-f 2058//2058 2165//2165 2263//2263
-f 2263//2263 2166//2166 2058//2058
-f 2059//2059 2166//2166 2264//2264
-f 2264//2264 2167//2167 2059//2059
-f 2060//2060 2167//2167 2265//2265
-f 2265//2265 2168//2168 2060//2060
-f 2061//2061 2168//2168 2266//2266
-f 2266//2266 2169//2169 2061//2061
-f 2062//2062 2169//2169 2267//2267
-f 2267//2267 2170//2170 2062//2062
-f 2063//2063 2170//2170 2268//2268
-f 2268//2268 2171//2171 2063//2063
-f 2172//2172 2064//2064 2171//2171
-f 2171//2171 2269//2269 2172//2172
-f 2172//2172 2270//2270 2173//2173
-f 2173//2173 2065//2065 2172//2172
-f 2173//2173 2271//2271 2174//2174
-f 2174//2174 2066//2066 2173//2173
-f 2174//2174 2272//2272 2180//2180
-f 2180//2180 2067//2067 2174//2174
-f 2069//2069 2068//2068 2077//2077
-f 2077//2077 2273//2273 2069//2069
-f 1882//1882 2069//2069 2273//2273
-f 2273//2273 2070//2070 1882//1882
-f 1883//1883 2070//2070 2274//2274
-f 2274//2274 2071//2071 1883//1883
-f 1884//1884 2071//2071 2275//2275
-f 2275//2275 2072//2072 1884//1884
-f 1982//1982 2072//2072 2276//2276
-f 2276//2276 2181//2181 1982//1982
-f 1984//1984 2073//2073 2277//2277
-f 2277//2277 2183//2183 1984//1984
-f 1890//1890 2074//2074 2278//2278
-f 2278//2278 2078//2078 1890//1890
-f 2184//2184 2279//2279 2185//2185
-f 2185//2185 2075//2075 2184//2184
-f 2185//2185 2280//2280 2186//2186
-f 2186//2186 2076//2076 2185//2185
-f 2186//2186 2281//2281 2273//2273
-f 2273//2273 2077//2077 2186//2186
-f 2282//2282 2283//2283 2079//2079
-f 2079//2079 2078//2078 2282//2282
-f 2283//2283 2284//2284 2080//2080
-f 2080//2080 2079//2079 2283//2283
-f 2081//2081 2080//2080 2284//2284
-f 2284//2284 2285//2285 2081//2081
-f 2082//2082 2081//2081 2285//2285
-f 2285//2285 2286//2286 2082//2082
-f 2083//2083 2082//2082 2286//2286
-f 2286//2286 2287//2287 2083//2083
-f 2084//2084 2083//2083 2287//2287
-f 2287//2287 2288//2288 2084//2084
-f 2288//2288 2289//2289 2085//2085
-f 2085//2085 2084//2084 2288//2288
-f 2289//2289 2290//2290 2086//2086
-f 2086//2086 2085//2085 2289//2289
-f 2087//2087 2086//2086 2290//2290
-f 2290//2290 2291//2291 2087//2087
-f 2088//2088 2087//2087 2291//2291
-f 2291//2291 2292//2292 2088//2088
-f 2187//2187 2088//2088 2292//2292
-f 2292//2292 2293//2293 2187//2187
-f 2187//2187 2294//2294 2188//2188
-f 2188//2188 2089//2089 2187//2187
-f 2295//2295 2189//2189 2190//2190
-f 2190//2190 2296//2296 2295//2295
-f 2297//2297 2191//2191 2090//2090
-f 2090//2090 2189//2189 2297//2297
-f 2190//2190 2091//2091 2192//2192
-f 2192//2192 2298//2298 2190//2190
-f 2299//2299 2193//2193 2092//2092
-f 2092//2092 2191//2191 2299//2299
-f 2192//2192 2093//2093 2194//2194
-f 2194//2194 2300//2300 2192//2192
-f 2301//2301 2195//2195 2094//2094
-f 2094//2094 2193//2193 2301//2301
-f 2194//2194 2095//2095 2196//2196
-f 2196//2196 2302//2302 2194//2194
-f 2303//2303 2197//2197 2096//2096
-f 2096//2096 2195//2195 2303//2303
-f 2196//2196 2097//2097 2198//2198
-f 2198//2198 2304//2304 2196//2196
-f 2305//2305 2199//2199 2098//2098
-f 2098//2098 2197//2197 2305//2305
-f 2198//2198 2099//2099 2200//2200
-f 2200//2200 2306//2306 2198//2198
-f 2307//2307 2201//2201 2100//2100
-f 2100//2100 2199//2199 2307//2307
-f 2200//2200 2101//2101 2202//2202
-f 2202//2202 2308//2308 2200//2200
-f 2309//2309 2203//2203 2102//2102
-f 2102//2102 2201//2201 2309//2309
-f 2202//2202 2103//2103 2204//2204
-f 2204//2204 2310//2310 2202//2202
-f 2311//2311 2205//2205 2104//2104
-f 2104//2104 2203//2203 2311//2311
-f 2204//2204 2105//2105 2206//2206
-f 2206//2206 2312//2312 2204//2204
-f 2313//2313 2207//2207 2106//2106
-f 2106//2106 2205//2205 2313//2313
-f 2206//2206 2107//2107 2208//2208
-f 2208//2208 2314//2314 2206//2206
-f 2315//2315 2209//2209 2108//2108
-f 2108//2108 2207//2207 2315//2315
-f 2208//2208 2109//2109 2210//2210
-f 2210//2210 2316//2316 2208//2208
-f 2317//2317 2211//2211 2110//2110
-f 2110//2110 2209//2209 2317//2317
-f 2210//2210 2111//2111 2212//2212
-f 2212//2212 2318//2318 2210//2210
-f 2319//2319 2213//2213 2112//2112
-f 2112//2112 2211//2211 2319//2319
-f 2212//2212 2113//2113 2214//2214
-f 2214//2214 2320//2320 2212//2212
-f 2321//2321 2215//2215 2114//2114
-f 2114//2114 2213//2213 2321//2321
-f 2214//2214 2115//2115 2216//2216
-f 2216//2216 2322//2322 2214//2214
-f 2323//2323 2217//2217 2116//2116
-f 2116//2116 2215//2215 2323//2323
-f 2216//2216 2117//2117 2218//2218
-f 2218//2218 2324//2324 2216//2216
-f 2325//2325 2219//2219 2118//2118
-f 2118//2118 2217//2217 2325//2325
-f 2218//2218 2124//2124 2225//2225
-f 2225//2225 2326//2326 2218//2218
-f 2327//2327 2226//2226 2125//2125
-f 2125//2125 2219//2219 2327//2327
-f 2220//2220 2119//2119 2175//2175
-f 2175//2175 2328//2328 2220//2220
-f 2220//2220 2329//2329 2221//2221
-f 2221//2221 2120//2120 2220//2220
-f 2221//2221 2330//2330 2222//2222
-f 2222//2222 2121//2121 2221//2221
-f 2122//2122 2222//2222 2331//2331
-f 2331//2331 2223//2223 2122//2122
-f 2123//2123 2223//2223 2332//2332
-f 2332//2332 2224//2224 2123//2123
-f 2225//2225 2224//2224 2332//2332
-f 2333//2333 2334//2334 2227//2227
-f 2227//2227 2226//2226 2333//2333
-f 2227//2227 2242//2242 2146//2146
-f 2146//2146 2126//2126 2227//2227
-f 2235//2235 2335//2335 2133//2133
-f 2133//2133 2132//2132 2235//2235
-f 2239//2239 2336//2336 2141//2141
-f 2141//2141 2139//2139 2239//2239
-f 2240//2240 2337//2337 2144//2144
-f 2144//2144 2140//2140 2240//2240
-f 2241//2241 2338//2338 2232//2232
-f 2232//2232 2143//2143 2241//2241
-f 2339//2339 2243//2243 2147//2147
-f 2147//2147 2242//2242 2339//2339
-f 2340//2340 2341//2341 2244//2244
-f 2244//2244 2243//2243 2340//2340
-f 2244//2244 2342//2342 2245//2245
-f 2245//2245 2148//2148 2244//2244
-f 2245//2245 2343//2343 2246//2246
-f 2246//2246 2149//2149 2245//2245
-f 2246//2246 2344//2344 2247//2247
-f 2247//2247 2150//2150 2246//2246
-f 2247//2247 2345//2345 2248//2248
-f 2248//2248 2151//2151 2247//2247
-f 2248//2248 2346//2346 2249//2249
-f 2249//2249 2152//2152 2248//2248
-f 2249//2249 2347//2347 2250//2250
-f 2250//2250 2153//2153 2249//2249
-f 2250//2250 2348//2348 2251//2251
-f 2251//2251 2154//2154 2250//2250
-f 2251//2251 2349//2349 2252//2252
-f 2252//2252 2155//2155 2251//2251
-f 2252//2252 2350//2350 2253//2253
-f 2253//2253 2156//2156 2252//2252
-f 2253//2253 2351//2351 2254//2254
-f 2254//2254 2157//2157 2253//2253
-f 2254//2254 2352//2352 2255//2255
-f 2255//2255 2158//2158 2254//2254
-f 2255//2255 2353//2353 2256//2256
-f 2256//2256 2159//2159 2255//2255
-f 2256//2256 2354//2354 2257//2257
-f 2257//2257 2160//2160 2256//2256
-f 2257//2257 2355//2355 2258//2258
-f 2258//2258 2161//2161 2257//2257
-f 2258//2258 2356//2356 2259//2259
-f 2259//2259 2162//2162 2258//2258
-f 2259//2259 2357//2357 2260//2260
-f 2260//2260 2163//2163 2259//2259
-f 2260//2260 2358//2358 2261//2261
-f 2261//2261 2164//2164 2260//2260
-f 2261//2261 2359//2359 2360//2360
-f 2360//2360 2262//2262 2261//2261
-f 2165//2165 2262//2262 2361//2361
-f 2361//2361 2263//2263 2165//2165
-f 2166//2166 2263//2263 2362//2362
-f 2362//2362 2264//2264 2166//2166
-f 2167//2167 2264//2264 2363//2363
-f 2363//2363 2265//2265 2167//2167
-f 2168//2168 2265//2265 2364//2364
-f 2364//2364 2266//2266 2168//2168
-f 2169//2169 2266//2266 2365//2365
-f 2365//2365 2267//2267 2169//2169
-f 2170//2170 2267//2267 2366//2366
-f 2366//2366 2268//2268 2170//2170
-f 2171//2171 2268//2268 2367//2367
-f 2367//2367 2269//2269 2171//2171
-f 2269//2269 2368//2368 2270//2270
-f 2270//2270 2172//2172 2269//2269
-f 2270//2270 2369//2369 2271//2271
-f 2271//2271 2173//2173 2270//2270
-f 2271//2271 2370//2370 2272//2272
-f 2272//2272 2174//2174 2271//2271
-f 2188//2188 2371//2371 2279//2279
-f 2279//2279 2184//2184 2188//2188
-f 2279//2279 2372//2372 2280//2280
-f 2280//2280 2185//2185 2279//2279
-f 2280//2280 2373//2373 2281//2281
-f 2281//2281 2186//2186 2280//2280
-f 2293//2293 2374//2374 2294//2294
-f 2294//2294 2187//2187 2293//2293
-f 2375//2375 2295//2295 2296//2296
-f 2296//2296 2376//2376 2375//2375
-f 2377//2377 2297//2297 2189//2189
-f 2189//2189 2295//2295 2377//2377
-f 2296//2296 2190//2190 2298//2298
-f 2298//2298 2378//2378 2296//2296
-f 2379//2379 2299//2299 2191//2191
-f 2191//2191 2297//2297 2379//2379
-f 2298//2298 2192//2192 2300//2300
-f 2300//2300 2380//2380 2298//2298
-f 2381//2381 2301//2301 2193//2193
-f 2193//2193 2299//2299 2381//2381
-f 2300//2300 2194//2194 2302//2302
-f 2302//2302 2382//2382 2300//2300
-f 2383//2383 2303//2303 2195//2195
-f 2195//2195 2301//2301 2383//2383
-f 2302//2302 2196//2196 2304//2304
-f 2304//2304 2384//2384 2302//2302
-f 2385//2385 2305//2305 2197//2197
-f 2197//2197 2303//2303 2385//2385
-f 2304//2304 2198//2198 2306//2306
-f 2306//2306 2386//2386 2304//2304
-f 2387//2387 2307//2307 2199//2199
-f 2199//2199 2305//2305 2387//2387
-f 2306//2306 2200//2200 2308//2308
-f 2308//2308 2388//2388 2306//2306
-f 2389//2389 2309//2309 2201//2201
-f 2201//2201 2307//2307 2389//2389
-f 2308//2308 2202//2202 2310//2310
-f 2310//2310 2390//2390 2308//2308
-f 2391//2391 2311//2311 2203//2203
-f 2203//2203 2309//2309 2391//2391
-f 2310//2310 2204//2204 2312//2312
-f 2312//2312 2392//2392 2310//2310
-f 2393//2393 2313//2313 2205//2205
-f 2205//2205 2311//2311 2393//2393
-f 2312//2312 2206//2206 2314//2314
-f 2314//2314 2394//2394 2312//2312
-f 2395//2395 2315//2315 2207//2207
-f 2207//2207 2313//2313 2395//2395
-f 2314//2314 2208//2208 2316//2316
-f 2316//2316 2396//2396 2314//2314
-f 2397//2397 2317//2317 2209//2209
-f 2209//2209 2315//2315 2397//2397
-f 2316//2316 2210//2210 2318//2318
-f 2318//2318 2398//2398 2316//2316
-f 2399//2399 2319//2319 2211//2211
-f 2211//2211 2317//2317 2399//2399
-f 2318//2318 2212//2212 2320//2320
-f 2320//2320 2400//2400 2318//2318
-f 2401//2401 2321//2321 2213//2213
-f 2213//2213 2319//2319 2401//2401
-f 2320//2320 2214//2214 2322//2322
-f 2322//2322 2402//2402 2320//2320
-f 2403//2403 2323//2323 2215//2215
-f 2215//2215 2321//2321 2403//2403
-f 2322//2322 2216//2216 2324//2324
-f 2324//2324 2404//2404 2322//2322
-f 2405//2405 2325//2325 2217//2217
-f 2217//2217 2323//2323 2405//2405
-f 2324//2324 2218//2218 2326//2326
-f 2326//2326 2406//2406 2324//2324
-f 2407//2407 2327//2327 2219//2219
-f 2219//2219 2325//2325 2407//2407
-f 2406//2406 2326//2326 2225//2225
-f 2225//2225 2332//2332 2406//2406
-f 2408//2408 2333//2333 2226//2226
-f 2226//2226 2327//2327 2408//2408
-f 2328//2328 2175//2175 2176//2176
-f 2176//2176 2409//2409 2328//2328
-f 2328//2328 2410//2410 2329//2329
-f 2329//2329 2220//2220 2328//2328
-f 2329//2329 2411//2411 2330//2330
-f 2330//2330 2221//2221 2329//2329
-f 2330//2330 2412//2412 2331//2331
-f 2331//2331 2222//2222 2330//2330
-f 2223//2223 2331//2331 2413//2413
-f 2413//2413 2332//2332 2223//2223
-f 2414//2414 2415//2415 2334//2334
-f 2334//2334 2333//2333 2414//2414
-f 2334//2334 2339//2339 2242//2242
-f 2242//2242 2227//2227 2334//2334
-f 2338//2338 2416//2416 2229//2229
-f 2229//2229 2232//2232 2338//2338
-f 2416//2416 2128//2128 2025//2025
-f 2025//2025 2229//2229 2416//2416
-f 2417//2417 2418//2418 2129//2129
-f 2129//2129 2128//2128 2417//2417
-f 2418//2418 2419//2419 2131//2131
-f 2131//2131 2129//2129 2418//2418
-f 2419//2419 2233//2233 2030//2030
-f 2030//2030 2131//2131 2419//2419
-f 2234//2234 2233//2233 2420//2420
-f 2420//2420 2421//2421 2234//2234
-f 2235//2235 2234//2234 2421//2421
-f 2421//2421 2422//2422 2235//2235
-f 2335//2335 2235//2235 2422//2422
-f 2422//2422 2423//2423 2335//2335
-f 2335//2335 2237//2237 2033//2033
-f 2033//2033 2133//2133 2335//2335
-f 2134//2134 2236//2236 2424//2424
-f 2424//2424 2425//2425 2134//2134
-f 2236//2236 2237//2237 2426//2426
-f 2426//2426 2424//2424 2236//2236
-f 2239//2239 2238//2238 2427//2427
-f 2427//2427 2428//2428 2239//2239
-f 2425//2425 2135//2135 1942//1942
-f 1942//1942 2134//2134 2425//2425
-f 2429//2429 2430//2430 2136//2136
-f 2136//2136 2135//2135 2429//2429
-f 2430//2430 2431//2431 2137//2137
-f 2137//2137 2136//2136 2430//2430
-f 2431//2431 2432//2432 2138//2138
-f 2138//2138 2137//2137 2431//2431
-f 2432//2432 2427//2427 2238//2238
-f 2238//2238 2138//2138 2432//2432
-f 2336//2336 2239//2239 2428//2428
-f 2428//2428 2433//2433 2336//2336
-f 2336//2336 2434//2434 2142//2142
-f 2142//2142 2141//2141 2336//2336
-f 2337//2337 2240//2240 2435//2435
-f 2435//2435 2436//2436 2337//2337
-f 2434//2434 2435//2435 2240//2240
-f 2240//2240 2142//2142 2434//2434
-f 2338//2338 2241//2241 2437//2437
-f 2437//2437 2438//2438 2338//2338
-f 2337//2337 2439//2439 2145//2145
-f 2145//2145 2144//2144 2337//2337
-f 2439//2439 2437//2437 2241//2241
-f 2241//2241 2145//2145 2439//2439
-f 2440//2440 2340//2340 2243//2243
-f 2243//2243 2339//2339 2440//2440
-f 2441//2441 2442//2442 2341//2341
-f 2341//2341 2340//2340 2441//2441
-f 2341//2341 2443//2443 2342//2342
-f 2342//2342 2244//2244 2341//2341
-f 2342//2342 2444//2444 2343//2343
-f 2343//2343 2245//2245 2342//2342
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-f 4073//4073 3980//3980 3933//3933
-f 3980//3980 4073//4073 4074//4074
-f 4074//4074 3981//3981 3980//3980
-f 3981//3981 4074//4074 4075//4075
-f 4075//4075 3982//3982 3981//3981
-f 3935//3935 4030//4030 4076//4076
-f 4076//4076 3983//3983 3935//3935
-f 3983//3983 4076//4076 4077//4077
-f 4077//4077 3984//3984 3983//3983
-f 3937//3937 4032//4032 4064//4064
-f 4064//4064 3985//3985 3937//3937
-f 4063//4063 4034//4034 3986//3986
-f 3986//3986 4017//4017 4063//4063
-f 4078//4078 4035//4035 3987//3987
-f 3987//3987 4034//4034 4078//4078
-f 4079//4079 4036//4036 3988//3988
-f 3988//3988 4035//4035 4079//4079
-f 4080//4080 4037//4037 3989//3989
-f 3989//3989 4036//4036 4080//4080
-f 4081//4081 4038//4038 3990//3990
-f 3990//3990 4037//4037 4081//4081
-f 4082//4082 4039//4039 3991//3991
-f 3991//3991 4038//4038 4082//4082
-f 4083//4083 4040//4040 3992//3992
-f 3992//3992 4039//4039 4083//4083
-f 4084//4084 4041//4041 3993//3993
-f 3993//3993 4040//4040 4084//4084
-f 4085//4085 4042//4042 3994//3994
-f 3994//3994 4041//4041 4085//4085
-f 4086//4086 4043//4043 3995//3995
-f 3995//3995 4042//4042 4086//4086
-f 4087//4087 4044//4044 3996//3996
-f 3996//3996 4043//4043 4087//4087
-f 4088//4088 4045//4045 3997//3997
-f 3997//3997 4044//4044 4088//4088
-f 4089//4089 4046//4046 3998//3998
-f 3998//3998 4045//4045 4089//4089
-f 4090//4090 4047//4047 3999//3999
-f 3999//3999 4046//4046 4090//4090
-f 4091//4091 4048//4048 4000//4000
-f 4000//4000 4047//4047 4091//4091
-f 4001//4001 4048//4048 3686//3686
-f 4049//4049 4002//4002 3686//3686
-f 4049//4049 4092//4092 4050//4050
-f 4050//4050 4003//4003 4049//4049
-f 4050//4050 4093//4093 4051//4051
-f 4051//4051 4004//4004 4050//4050
-f 4051//4051 4094//4094 4052//4052
-f 4052//4052 4005//4005 4051//4051
-f 4052//4052 4095//4095 4053//4053
-f 4053//4053 4006//4006 4052//4052
-f 4053//4053 4096//4096 4054//4054
-f 4054//4054 4007//4007 4053//4053
-f 4054//4054 4097//4097 4055//4055
-f 4055//4055 4008//4008 4054//4054
-f 4055//4055 4098//4098 4056//4056
-f 4056//4056 4009//4009 4055//4055
-f 4056//4056 4099//4099 4057//4057
-f 4057//4057 4010//4010 4056//4056
-f 4057//4057 4100//4100 4058//4058
-f 4058//4058 4011//4011 4057//4057
-f 4058//4058 4101//4101 4059//4059
-f 4059//4059 4012//4012 4058//4058
-f 4059//4059 4102//4102 4060//4060
-f 4060//4060 4013//4013 4059//4059
-f 4060//4060 4103//4103 4061//4061
-f 4061//4061 4014//4014 4060//4060
-f 4061//4061 4104//4104 4062//4062
-f 4062//4062 4015//4015 4061//4061
-f 4062//4062 4105//4105 4063//4063
-f 4063//4063 4016//4016 4062//4062
-f 4065//4065 4018//4018 4064//4064
-f 4064//4064 4106//4106 4065//4065
-f 4065//4065 4107//4107 4066//4066
-f 4066//4066 4019//4019 4065//4065
-f 4022//4022 4108//4108 4072//4072
-f 4072//4072 4021//4021 4022//4022
-f 4068//4068 4109//4109 4069//4069
-f 4069//4069 4025//4025 4068//4068
-f 4075//4075 4110//4110 4031//4031
-f 4031//4031 3982//3982 4075//4075
-f 4105//4105 4078//4078 4034//4034
-f 4034//4034 4063//4063 4105//4105
-f 4111//4111 4079//4079 4035//4035
-f 4035//4035 4078//4078 4111//4111
-f 4112//4112 4080//4080 4036//4036
-f 4036//4036 4079//4079 4112//4112
-f 4113//4113 4081//4081 4037//4037
-f 4037//4037 4080//4080 4113//4113
-f 4114//4114 4082//4082 4038//4038
-f 4038//4038 4081//4081 4114//4114
-f 4115//4115 4083//4083 4039//4039
-f 4039//4039 4082//4082 4115//4115
-f 4116//4116 4084//4084 4040//4040
-f 4040//4040 4083//4083 4116//4116
-f 4117//4117 4085//4085 4041//4041
-f 4041//4041 4084//4084 4117//4117
-f 4118//4118 4086//4086 4042//4042
-f 4042//4042 4085//4085 4118//4118
-f 4119//4119 4087//4087 4043//4043
-f 4043//4043 4086//4086 4119//4119
-f 4120//4120 4088//4088 4044//4044
-f 4044//4044 4087//4087 4120//4120
-f 4121//4121 4089//4089 4045//4045
-f 4045//4045 4088//4088 4121//4121
-f 4122//4122 4090//4090 4046//4046
-f 4046//4046 4089//4089 4122//4122
-f 4123//4123 4091//4091 4047//4047
-f 4047//4047 4090//4090 4123//4123
-f 4048//4048 4091//4091 3686//3686
-f 4092//4092 4049//4049 3686//3686
-f 4092//4092 4124//4124 4093//4093
-f 4093//4093 4050//4050 4092//4092
-f 4093//4093 4125//4125 4094//4094
-f 4094//4094 4051//4051 4093//4093
-f 4094//4094 4126//4126 4095//4095
-f 4095//4095 4052//4052 4094//4094
-f 4095//4095 4127//4127 4096//4096
-f 4096//4096 4053//4053 4095//4095
-f 4096//4096 4128//4128 4097//4097
-f 4097//4097 4054//4054 4096//4096
-f 4097//4097 4129//4129 4098//4098
-f 4098//4098 4055//4055 4097//4097
-f 4098//4098 4130//4130 4099//4099
-f 4099//4099 4056//4056 4098//4098
-f 4099//4099 4131//4131 4100//4100
-f 4100//4100 4057//4057 4099//4099
-f 4100//4100 4132//4132 4101//4101
-f 4101//4101 4058//4058 4100//4100
-f 4101//4101 4133//4133 4102//4102
-f 4102//4102 4059//4059 4101//4101
-f 4102//4102 4134//4134 4103//4103
-f 4103//4103 4060//4060 4102//4102
-f 4103//4103 4135//4135 4104//4104
-f 4104//4104 4061//4061 4103//4103
-f 4104//4104 4136//4136 4105//4105
-f 4105//4105 4062//4062 4104//4104
-f 4106//4106 4137//4137 4107//4107
-f 4107//4107 4065//4065 4106//4106
-f 4067//4067 4020//4020 4066//4066
-f 4066//4066 4138//4138 4067//4067
-f 4138//4138 4066//4066 4107//4107
-f 4107//4107 4139//4139 4138//4138
-f 4108//4108 4022//4022 4067//4067
-f 4067//4067 4140//4140 4108//4108
-f 4140//4140 4067//4067 4138//4138
-f 4138//4138 4141//4141 4140//4140
-f 4071//4071 4142//4142 4109//4109
-f 4109//4109 4068//4068 4071//4071
-f 4143//4143 4024//4024 4023//4023
-f 4023//4023 4070//4070 4143//4143
-f 4069//4069 4144//4144 4145//4145
-f 4145//4145 4070//4070 4069//4069
-f 4109//4109 4146//4146 4144//4144
-f 4144//4144 4069//4069 4109//4109
-f 4072//4072 4147//4147 4142//4142
-f 4142//4142 4071//4071 4072//4072
-f 4108//4108 4148//4148 4147//4147
-f 4147//4147 4072//4072 4108//4108
-f 4149//4149 4027//4027 4026//4026
-f 4026//4026 4150//4150 4149//4149
-f 4150//4150 4026//4026 4028//4028
-f 4028//4028 4151//4151 4150//4150
-f 4151//4151 4028//4028 4024//4024
-f 4024//4024 4143//4143 4151//4151
-f 4152//4152 4029//4029 4027//4027
-f 4027//4027 4149//4149 4152//4152
-f 4029//4029 4152//4152 4153//4153
-f 4153//4153 4073//4073 4029//4029
-f 4073//4073 4153//4153 4154//4154
-f 4154//4154 4074//4074 4073//4073
-f 4074//4074 4154//4154 4155//4155
-f 4155//4155 4075//4075 4074//4074
-f 4156//4156 4030//4030 3936//3936
-f 3936//3936 4031//4031 4156//4156
-f 4075//4075 4155//4155 4157//4157
-f 4157//4157 4110//4110 4075//4075
-f 4031//4031 4110//4110 4158//4158
-f 4158//4158 4156//4156 4031//4031
-f 4030//4030 4156//4156 4159//4159
-f 4159//4159 4076//4076 4030//4030
-f 4076//4076 4159//4159 4160//4160
-f 4160//4160 4077//4077 4076//4076
-f 4161//4161 4032//4032 3938//3938
-f 3938//3938 4033//4033 4161//4161
-f 4162//4162 4033//4033 3984//3984
-f 3984//3984 4077//4077 4162//4162
-f 4136//4136 4111//4111 4078//4078
-f 4078//4078 4105//4105 4136//4136
-f 4163//4163 4112//4112 4079//4079
-f 4079//4079 4111//4111 4163//4163
-f 4164//4164 4113//4113 4080//4080
-f 4080//4080 4112//4112 4164//4164
-f 4165//4165 4114//4114 4081//4081
-f 4081//4081 4113//4113 4165//4165
-f 4166//4166 4115//4115 4082//4082
-f 4082//4082 4114//4114 4166//4166
-f 4167//4167 4116//4116 4083//4083
-f 4083//4083 4115//4115 4167//4167
-f 4168//4168 4117//4117 4084//4084
-f 4084//4084 4116//4116 4168//4168
-f 4169//4169 4118//4118 4085//4085
-f 4085//4085 4117//4117 4169//4169
-f 4170//4170 4119//4119 4086//4086
-f 4086//4086 4118//4118 4170//4170
-f 4171//4171 4120//4120 4087//4087
-f 4087//4087 4119//4119 4171//4171
-f 4172//4172 4121//4121 4088//4088
-f 4088//4088 4120//4120 4172//4172
-f 4173//4173 4122//4122 4089//4089
-f 4089//4089 4121//4121 4173//4173
-f 4174//4174 4123//4123 4090//4090
-f 4090//4090 4122//4122 4174//4174
-f 4091//4091 4123//4123 3686//3686
-f 4124//4124 4092//4092 3686//3686
-f 4124//4124 4175//4175 4125//4125
-f 4125//4125 4093//4093 4124//4124
-f 4125//4125 4176//4176 4126//4126
-f 4126//4126 4094//4094 4125//4125
-f 4126//4126 4177//4177 4127//4127
-f 4127//4127 4095//4095 4126//4126
-f 4127//4127 4178//4178 4128//4128
-f 4128//4128 4096//4096 4127//4127
-f 4128//4128 4179//4179 4129//4129
-f 4129//4129 4097//4097 4128//4128
-f 4129//4129 4180//4180 4130//4130
-f 4130//4130 4098//4098 4129//4129
-f 4130//4130 4181//4181 4131//4131
-f 4131//4131 4099//4099 4130//4130
-f 4131//4131 4182//4182 4132//4132
-f 4132//4132 4100//4100 4131//4131
-f 4132//4132 4183//4183 4133//4133
-f 4133//4133 4101//4101 4132//4132
-f 4133//4133 4184//4184 4134//4134
-f 4134//4134 4102//4102 4133//4133
-f 4134//4134 4185//4185 4135//4135
-f 4135//4135 4103//4103 4134//4134
-f 4135//4135 4186//4186 4136//4136
-f 4136//4136 4104//4104 4135//4135
-f 4106//4106 4064//4064 4032//4032
-f 4032//4032 4161//4161 4106//4106
-f 4137//4137 4106//4106 4161//4161
-f 4161//4161 4187//4187 4137//4137
-f 4137//4137 4188//4188 4139//4139
-f 4139//4139 4107//4107 4137//4137
-f 4139//4139 4189//4189 4141//4141
-f 4141//4141 4138//4138 4139//4139
-f 4140//4140 4190//4190 4148//4148
-f 4148//4148 4108//4108 4140//4140
-f 4141//4141 4191//4191 4190//4190
-f 4190//4190 4140//4140 4141//4141
-f 4070//4070 4145//4145 4192//4192
-f 4192//4192 4143//4143 4070//4070
-f 4142//4142 4193//4193 4146//4146
-f 4146//4146 4109//4109 4142//4142
-f 4150//4150 4194//4194 4195//4195
-f 4195//4195 4149//4149 4150//4150
-f 4151//4151 4196//4196 4194//4194
-f 4194//4194 4150//4150 4151//4151
-f 4143//4143 4192//4192 4196//4196
-f 4196//4196 4151//4151 4143//4143
-f 4149//4149 4195//4195 4197//4197
-f 4197//4197 4152//4152 4149//4149
-f 4033//4033 4162//4162 4187//4187
-f 4187//4187 4161//4161 4033//4033
-f 4077//4077 4160//4160 4198//4198
-f 4198//4198 4162//4162 4077//4077
-f 4186//4186 4163//4163 4111//4111
-f 4111//4111 4136//4136 4186//4186
-f 4199//4199 4164//4164 4112//4112
-f 4112//4112 4163//4163 4199//4199
-f 4200//4200 4165//4165 4113//4113
-f 4113//4113 4164//4164 4200//4200
-f 4201//4201 4166//4166 4114//4114
-f 4114//4114 4165//4165 4201//4201
-f 4202//4202 4167//4167 4115//4115
-f 4115//4115 4166//4166 4202//4202
-f 4203//4203 4168//4168 4116//4116
-f 4116//4116 4167//4167 4203//4203
-f 4204//4204 4169//4169 4117//4117
-f 4117//4117 4168//4168 4204//4204
-f 4205//4205 4170//4170 4118//4118
-f 4118//4118 4169//4169 4205//4205
-f 4206//4206 4171//4171 4119//4119
-f 4119//4119 4170//4170 4206//4206
-f 4207//4207 4172//4172 4120//4120
-f 4120//4120 4171//4171 4207//4207
-f 4208//4208 4173//4173 4121//4121
-f 4121//4121 4172//4172 4208//4208
-f 4209//4209 4174//4174 4122//4122
-f 4122//4122 4173//4173 4209//4209
-f 4123//4123 4174//4174 3686//3686
-f 4175//4175 4124//4124 3686//3686
-f 4175//4175 4210//4210 4176//4176
-f 4176//4176 4125//4125 4175//4175
-f 4176//4176 4211//4211 4177//4177
-f 4177//4177 4126//4126 4176//4176
-f 4177//4177 4212//4212 4178//4178
-f 4178//4178 4127//4127 4177//4177
-f 4178//4178 4213//4213 4179//4179
-f 4179//4179 4128//4128 4178//4178
-f 4179//4179 4214//4214 4180//4180
-f 4180//4180 4129//4129 4179//4179
-f 4180//4180 4215//4215 4181//4181
-f 4181//4181 4130//4130 4180//4180
-f 4181//4181 4216//4216 4182//4182
-f 4182//4182 4131//4131 4181//4181
-f 4182//4182 4217//4217 4183//4183
-f 4183//4183 4132//4132 4182//4182
-f 4183//4183 4218//4218 4184//4184
-f 4184//4184 4133//4133 4183//4183
-f 4184//4184 4219//4219 4185//4185
-f 4185//4185 4134//4134 4184//4184
-f 4185//4185 4220//4220 4186//4186
-f 4186//4186 4135//4135 4185//4185
-f 4187//4187 4221//4221 4188//4188
-f 4188//4188 4137//4137 4187//4187
-f 4188//4188 4222//4222 4189//4189
-f 4189//4189 4139//4139 4188//4188
-f 4191//4191 4141//4141 4189//4189
-f 4189//4189 4223//4223 4191//4191
-f 4147//4147 4224//4224 4193//4193
-f 4193//4193 4142//4142 4147//4147
-f 4144//4144 4225//4225 4226//4226
-f 4226//4226 4145//4145 4144//4144
-f 4146//4146 4227//4227 4225//4225
-f 4225//4225 4144//4144 4146//4146
-f 4193//4193 4228//4228 4227//4227
-f 4227//4227 4146//4146 4193//4193
-f 4148//4148 4229//4229 4224//4224
-f 4224//4224 4147//4147 4148//4148
-f 4190//4190 4230//4230 4229//4229
-f 4229//4229 4148//4148 4190//4190
-f 4152//4152 4197//4197 4231//4231
-f 4231//4231 4153//4153 4152//4152
-f 4153//4153 4231//4231 4232//4232
-f 4232//4232 4154//4154 4153//4153
-f 4154//4154 4232//4232 4233//4233
-f 4233//4233 4155//4155 4154//4154
-f 4155//4155 4233//4233 4234//4234
-f 4234//4234 4157//4157 4155//4155
-f 4110//4110 4157//4157 4235//4235
-f 4235//4235 4158//4158 4110//4110
-f 4156//4156 4158//4158 4236//4236
-f 4236//4236 4159//4159 4156//4156
-f 4159//4159 4236//4236 4237//4237
-f 4237//4237 4160//4160 4159//4159
-f 4220//4220 4199//4199 4163//4163
-f 4163//4163 4186//4186 4220//4220
-f 4238//4238 4200//4200 4164//4164
-f 4164//4164 4199//4199 4238//4238
-f 4239//4239 4201//4201 4165//4165
-f 4165//4165 4200//4200 4239//4239
-f 4240//4240 4202//4202 4166//4166
-f 4166//4166 4201//4201 4240//4240
-f 4241//4241 4203//4203 4167//4167
-f 4167//4167 4202//4202 4241//4241
-f 4242//4242 4204//4204 4168//4168
-f 4168//4168 4203//4203 4242//4242
-f 4243//4243 4205//4205 4169//4169
-f 4169//4169 4204//4204 4243//4243
-f 4244//4244 4206//4206 4170//4170
-f 4170//4170 4205//4205 4244//4244
-f 4245//4245 4207//4207 4171//4171
-f 4171//4171 4206//4206 4245//4245
-f 4246//4246 4208//4208 4172//4172
-f 4172//4172 4207//4207 4246//4246
-f 4247//4247 4209//4209 4173//4173
-f 4173//4173 4208//4208 4247//4247
-f 4174//4174 4209//4209 3686//3686
-f 4210//4210 4175//4175 3686//3686
-f 4210//4210 4248//4248 4211//4211
-f 4211//4211 4176//4176 4210//4210
-f 4211//4211 4249//4249 4212//4212
-f 4212//4212 4177//4177 4211//4211
-f 4212//4212 4250//4250 4213//4213
-f 4213//4213 4178//4178 4212//4212
-f 4213//4213 4251//4251 4214//4214
-f 4214//4214 4179//4179 4213//4213
-f 4214//4214 4252//4252 4215//4215
-f 4215//4215 4180//4180 4214//4214
-f 4215//4215 4253//4253 4216//4216
-f 4216//4216 4181//4181 4215//4215
-f 4216//4216 4254//4254 4217//4217
-f 4217//4217 4182//4182 4216//4216
-f 4217//4217 4255//4255 4218//4218
-f 4218//4218 4183//4183 4217//4217
-f 4218//4218 4256//4256 4219//4219
-f 4219//4219 4184//4184 4218//4218
-f 4219//4219 4257//4257 4220//4220
-f 4220//4220 4185//4185 4219//4219
-f 4221//4221 4187//4187 4162//4162
-f 4162//4162 4198//4198 4221//4221
-f 4221//4221 4258//4258 4222//4222
-f 4222//4222 4188//4188 4221//4221
-f 4222//4222 4259//4259 4223//4223
-f 4223//4223 4189//4189 4222//4222
-f 4191//4191 4260//4260 4230//4230
-f 4230//4230 4190//4190 4191//4191
-f 4223//4223 4261//4261 4260//4260
-f 4260//4260 4191//4191 4223//4223
-f 4145//4145 4226//4226 4262//4262
-f 4262//4262 4192//4192 4145//4145
-f 4224//4224 4263//4263 4228//4228
-f 4228//4228 4193//4193 4224//4224
-f 4194//4194 4264//4264 4265//4265
-f 4265//4265 4195//4195 4194//4194
-f 4196//4196 4266//4266 4264//4264
-f 4264//4264 4194//4194 4196//4196
-f 4192//4192 4262//4262 4266//4266
-f 4266//4266 4196//4196 4192//4192
-f 4195//4195 4265//4265 4267//4267
-f 4267//4267 4197//4197 4195//4195
-f 4160//4160 4237//4237 4268//4268
-f 4268//4268 4198//4198 4160//4160
-f 4257//4257 4238//4238 4199//4199
-f 4199//4199 4220//4220 4257//4257
-f 4269//4269 4239//4239 4200//4200
-f 4200//4200 4238//4238 4269//4269
-f 4270//4270 4240//4240 4201//4201
-f 4201//4201 4239//4239 4270//4270
-f 4271//4271 4241//4241 4202//4202
-f 4202//4202 4240//4240 4271//4271
-f 4272//4272 4242//4242 4203//4203
-f 4203//4203 4241//4241 4272//4272
-f 4273//4273 4243//4243 4204//4204
-f 4204//4204 4242//4242 4273//4273
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-f 4205//4205 4243//4243 4274//4274
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-f 4684//4684 4659//4659 4660//4660
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-f 1751//1751 2130//2130 1754//1754
-f 1781//1781 2231//2231 2228//2228
-f 1751//1751 2028//2028 2130//2130
-f 1751//1751 1781//1781 2228//2228
-f 1751//1751 2027//2027 2028//2028
-f 1751//1751 2228//2228 2230//2230
-f 1751//1751 2024//2024 2027//2027
-f 1751//1751 2230//2230 2127//2127
-f 1751//1751 2127//2127 2024//2024
-f 2143//2143 2232//2232 1780//1780
-f 1780//1780 1779//1779 2143//2143
-f 1780//1780 2232//2232 2231//2231

src/camera.cpp

@@ -15,7 +15,7 @@ void Camera::update(){
     float camX   = std::sin(t/6000) * radius;
     float camZ   = std::cos(t/6000) * radius;
     position.x   = camX;
-    position.y   = 0;
+    position.y   = camX;
     position.z   = camZ;
     target.z     = 0;
     viewMatrix   = Matrix4::lookAt(position,target,up);

src/engine.cpp

@@ -95,12 +95,12 @@ void Engine::run(){
         end = SDL_GetTicks();
         printf("%2.1d: Loop elapsed time (ms):%d\n",count,end - start);
         total += end - start;
-        if (count == 1000) break;
-        if (count == 100) switchScene = true;
+        //if (count == 1000) break;
+        //if (count == 100) switchScene = true;
 
     }
 
     printf("Closing down engine.\n");
-    printf("Average frame time over %2.1d frames: %f\n", count,total/(float)count);
+    printf("Average frame time over %2.1d frames: %2.fms.\n", count,total/(float)count);
     
 }

src/model.cpp

@@ -28,4 +28,12 @@ Texture *Model::getNormal(){
 
 Texture *Model::getAO(){
     return &mAmbient;
+}
+
+Texture *Model::getRoughness(){
+    return &mRoughness;
+}
+
+Texture *Model::getMetallic(){
+    return &mMetallic;
 }

src/rasterizer.cpp

@@ -208,5 +208,5 @@ float Rasterizer::clamp(float n, float lower, float upper) {
 
 
 float Rasterizer::gammaAdjust(float n, float gamma) {
-  return std::pow(n, 1.0/gamma)*256.0f;
+  return std::pow(n, 1.0/gamma)*255.0f;
 }

src/scene.cpp

@@ -51,11 +51,13 @@ bool Scene::loadSceneModels(const std::string &sceneFolder){
         }
         else{
             printf( "%s is a valid mesh\n", meshFilePath.c_str() );
+            //For now initParameters are calculated here
+            //IMPLEMENT: read directly from file
             TransformParameters initParameters;
             initParameters.rotation = Vector3f(90*M_PI/180.0f, 0 , 0);
             // initParameters.translation = Vector3f(0, -0.5, 0);
-            initParameters.scaling = Vector3f(0.3, 0.3, 0.3);
-            initParameters.translation = Vector3f(0, 0, 0);
+            initParameters.scaling = Vector3f(0.4, 0.4, 0.4);
+            //initParameters.translation = Vector3f(0, 0, 0);
             modelsInScene.push_back(new Model(baseFilePath, initParameters));
             return false;
         }

src/sceneManager.cpp

@@ -5,7 +5,7 @@ SceneManager::SceneManager(){}
 SceneManager::~SceneManager(){}
 
 bool SceneManager::startUp(){
-    if (!loadScene("firehydrant")){
+    if (!loadScene("teapot")){
         printf("Could not load scene. No models succesfully loaded!\n");
         return false;
     }

src/softwareRenderer.cpp

@@ -42,10 +42,12 @@ void SoftwareRenderer::drawTriangularMesh(Model * currentModel){
              tangentPrim[3];
 
     //Initializing shader textures
-    NormalMapShader shader;
+    PBRShader shader;
     shader.albedoT   = currentModel->getAlbedo();
     shader.normalT   = currentModel->getNormal();
     shader.ambientOT = currentModel->getAO();
+    shader.roughT    = currentModel->getRoughness();
+    shader.metalT    = currentModel->getMetallic();
 
     //Initializing shader matrices
     shader.MV  = (mCamera->viewMatrix)*(*(currentModel->getModelMatrix()));

src/texture.cpp

@@ -9,19 +9,19 @@ Texture::Texture(std::string path, std::string type){
         if(type == "RGB"){
             pixelData = new float[width*height*channels];
             for(int i = 0; i < width*height*channels; ++i){
-                pixelData[i] = (float)data[i] * (1/256.0f);
+                pixelData[i] = std::pow((float)data[i] * (1/255.0f), 2.2f);
             }
         }
         else if (type == "XYZ"){
             pixelData = new float[width*height*channels];
             for(int i = 0; i < width*height*channels; ++i){
-                pixelData[i] = (float)data[i] * (2/256.0f) - 1.0f;
+                pixelData[i] = (float)data[i] * (2/255.0f) - 1.0f;
             }
         }
         else if (type == "BW"){
             pixelData = new float[width*height*channels];
             for(int i = 0; i < width*height*channels; ++i){
-                pixelData[i] = (float)data[i] * (1/256.0f);
+                pixelData[i] = (float)data[i] * (1/255.0f);
             }
         }
         else{