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nuclear@31
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1 #include <math.h>
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2 #include <algorithm>
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3 #include "brdf.h"
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4 #include "material.h"
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5 #include "erebus_impl.h"
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6
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7 // --- class SurfaceGeometry ---
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8 SurfaceGeometry::SurfaceGeometry(const Vec3 &norm, VecLength st)
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9 : SurfaceGeometry(norm, Vec2(0, 0), st)
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10 {
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11 }
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12
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13 SurfaceGeometry::SurfaceGeometry(const Vec3 &norm, const Vec2 &uvarg, VecLength st)
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14 : normal(norm), uv(uvarg)
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15 {
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16 if(st == unknown) {
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17 normal.normalize();
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18 }
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19
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20 tangent = Vec3(1.0f, 0.0f, 0.0f);
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21 if(1.0 - fabs(dot_product(normal, tangent)) < 1e-4f) {
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22 tangent = Vec3(0.0f, 0.0f, 1.0f);
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23 }
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24 Vec3 bitan = cross_product(normal, tangent);
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25 tangent = cross_product(bitan, normal);
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26 }
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27
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28 SurfaceGeometry::SurfaceGeometry(const Vec3 &norm, const Vec3 &tang, VecLength st)
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29 : SurfaceGeometry(norm, tang, Vec2(0, 0), st)
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30 {
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31 }
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32
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33 SurfaceGeometry::SurfaceGeometry(const Vec3 &norm, const Vec3 &tang, const Vec2 &uvarg, VecLength st)
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34 : normal(norm), tangent(tang), uv(uvarg)
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35 {
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36 if(st == unknown) {
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37 normal.normalize();
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38 tangent.normalize();
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39 }
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40 }
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41
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42 Vec3 SurfaceGeometry::spherical_to_world(float theta, float phi) const
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43 {
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44 float x = cos(theta) * sin(phi);
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45 float y = sin(theta) * sin(phi);
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46 float z = cos(phi);
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47 return sample_to_world(Vec3(x, y, z));
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48 }
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49
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50 Vec3 SurfaceGeometry::sample_to_world(const Vec3 &v) const
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51 {
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52 Mat3x3 xform;
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53 xform.set_column_vector(tangent, 0);
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54 xform.set_column_vector(cross_product(normal, tangent), 1);
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55 xform.set_column_vector(normal, 2);
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56 return v.transformed(xform);
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57 }
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58
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59 Vec3 SurfaceGeometry::world_to_sample(const Vec3 &v) const
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60 {
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61 Mat3x3 xform;
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62 xform.set_row_vector(tangent, 0);
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63 xform.set_row_vector(cross_product(normal, tangent), 1);
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64 xform.set_row_vector(normal, 2);
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65 return v.transformed(xform);
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66 }
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67
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68 // ---- class Reflectance ----
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69 Reflectance::Reflectance()
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70 {
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71 mtl = 0;
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72 }
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73
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74 Reflectance::Reflectance(const Material *mtl)
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75 {
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76 this->mtl = mtl;
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77 }
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78
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79 float Reflectance::sample(const SurfaceGeometry &geom, const Vec3 &outdir, Vec3 *indir) const
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80 {
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81 *indir = sample_dir(geom, outdir);
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82 return eval(geom, outdir, *indir);
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83 }
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84
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85 // --- class CompositeRefl ----
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86 CompositeRefl::CompositeRefl()
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87 {
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88 valid_checked = false;
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89 }
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90
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91 CompositeRefl::CompositeRefl(const Material *mtl)
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92 : Reflectance(mtl)
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93 {
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94 valid_checked = false;
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95 }
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96
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97 int CompositeRefl::pick_brdf(const SurfaceGeometry &geom, const Vec3 &outdir) const
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98 {
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99 if(sub_brdf.empty()) {
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100 return -1;
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101 }
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102
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103 int brdf_count = (int)sub_brdf.size();
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104 if(brdf_count == 1) {
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105 return 0;
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106 }
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107
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108 // construct CDF from sub-brdf probabilities
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109 float *cdf = (float*)alloca(brdf_count * sizeof *cdf);
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110 for(int i=0; i<brdf_count; i++) {
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111 const SubRefl &sub = sub_brdf[i];
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112 float w = sub.weight_func ? sub.weight_func(geom, outdir) : sub.weight;
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113 cdf[i] = i > 0 ? cdf[i - 1] + w : w;
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114 }
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115
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116 float rval = randf(0.0, cdf[brdf_count - 1]);
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117 for(int i=0; i<brdf_count - 1; i++) {
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118 if(rval <= cdf[i]) return i;
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119 }
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120 return brdf_count - 1;
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121 }
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122
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123 void CompositeRefl::add_brdf(Reflectance *brdf, float weight)
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124 {
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125 SubRefl sub;
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126 sub.brdf = brdf;
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127 sub.weight = weight;
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128 sub.weight_func = 0;
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129 sub_brdf.push_back(sub);
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130
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131 valid_checked = false;
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132 }
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133
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134 void CompositeRefl::add_brdf(Reflectance *brdf, CompReflWeightFunc weight_func)
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135 {
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136 SubRefl sub;
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137 sub.brdf = brdf;
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138 sub.weight = 0.0;
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139 sub.weight_func = weight_func;
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140 sub_brdf.push_back(sub);
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141
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142 valid_checked = false;
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143 }
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144
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145 bool CompositeRefl::check_valid() const
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146 {
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147 float sum = 0.0;
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148 for(size_t i=0; i<sub_brdf.size(); i++) {
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149 if(!sub_brdf[i].weight_func) {
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150 sum += sub_brdf[i].weight;
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151 }
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152 }
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153 return sum < 1.0001;
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154 }
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155
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156 static bool warned_composite_usage;
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157 static const char *composite_usage_warnstr =
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158 "warning: don't call CompositeRefl's sample_dir and eval separately\n"
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159 " it'll pick different brdfs each time! use sample instead\n";
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160
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161 Vec3 CompositeRefl::sample_dir(const SurfaceGeometry &geom, const Vec3 &outdir) const
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162 {
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163 if(!warned_composite_usage) {
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164 fputs(composite_usage_warnstr, stderr);
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165 warned_composite_usage = true;
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166 }
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167 int bidx = pick_brdf(geom, outdir);
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168 return sub_brdf[bidx].brdf->sample_dir(geom, outdir);
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169 }
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170
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171 float CompositeRefl::sample(const SurfaceGeometry &geom, const Vec3 &outdir, Vec3 *indir) const
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172 {
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173 int bidx = pick_brdf(geom, outdir);
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174 return sub_brdf[bidx].brdf->sample(geom, outdir, indir);
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175 }
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176
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177 float CompositeRefl::eval(const SurfaceGeometry &geom, const Vec3 &outdir, const Vec3 &indir) const
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178 {
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179 if(!warned_composite_usage) {
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180 fputs(composite_usage_warnstr, stderr);
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181 warned_composite_usage = true;
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182 }
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183 int bidx = pick_brdf(geom, outdir);
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184 return sub_brdf[bidx].brdf->eval(geom, outdir, indir);
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185 }
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186
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187 // --- class LambertRefl ---
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188 Vec3 LambertRefl::sample_dir(const SurfaceGeometry &geom, const Vec3 &outdir) const
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189 {
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190 // TODO: write a better uniform disk sampling that doesn't rely in rejection
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191 Vec3 dir;
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192 do {
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193 dir = Vec3(randf(-1, 1), randf(-1, 1), 0);
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194 } while(dir.length_sq() > 1.0);
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195 dir.z = sqrt(1.0 - (dir.x * dir.x + dir.y * dir.y));
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196
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197 return geom.sample_to_world(dir);
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198 }
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199
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200 float LambertRefl::eval(const SurfaceGeometry &geom, const Vec3 &outdir, const Vec3 &indir) const
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201 {
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202 return dot_product(geom.normal, outdir);
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203 }
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204
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205 // --- class MirrorRefl ---
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206 Vec3 MirrorRefl::sample_dir(const SurfaceGeometry &geom, const Vec3 &outdir) const
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207 {
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208 return outdir.reflection(geom.normal);
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209 }
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210
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211 float MirrorRefl::eval(const SurfaceGeometry &geom, const Vec3 &outdir, const Vec3 &indir) const
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212 {
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213 return 1.0f;
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214 }
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215
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216 // --- class PhongRefl ---
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217 Vec3 PhongRefl::sample_dir(const SurfaceGeometry &geom, const Vec3 &outdir) const
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218 {
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219 Vec3 refl = outdir.reflection(geom.normal).normalized();
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220 SurfaceGeometry refl_geom(refl, SurfaceGeometry::unit);
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221
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222 float shininess = mtl ? mtl->get_attrib_value("shininess", geom.uv.x, geom.uv.y) : 42.0;
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223
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224 float phi = acos(pow(randf(), 1.0 / (shininess + 1)));
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225 float theta = 2.0 * M_PI * randf();
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226
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227 return refl_geom.spherical_to_world(theta, phi);
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228 }
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229
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230 float PhongRefl::eval(const SurfaceGeometry &geom, const Vec3 &outdir, const Vec3 &indir) const
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231 {
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232 float shininess = mtl ? mtl->get_attrib_value("shininess", geom.uv.x, geom.uv.y) : 42.0;
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233
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234 Vec3 refl = outdir.reflection(geom.normal);
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235 float dot = std::max<float>(dot_product(indir, refl), 0.0f);
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236 return pow(dot, shininess);
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237 }
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