Implement reflection.

10 files changed, 252 insertions, 57 deletions

diff --git a/libdimension/Makefile.am b/libdimension/Makefile.am
index 49685c7..0efa05c 100644
--- a/libdimension/Makefile.am
+++ b/libdimension/Makefile.am
@@ -63,6 +63,7 @@ libdimension_la_SOURCES = $(nobase_include_HEADERS)                            \
                           point_light.c                                        \
                           progress.c                                           \
                           raytrace.c                                           \
+                          reflective.c                                         \
                           scene.c                                              \
                           solid_pigment.c                                      \
                           sphere.c                                             \
diff --git a/libdimension/color.c b/libdimension/color.c
index 4421224..8201a8f 100644
--- a/libdimension/color.c
+++ b/libdimension/color.c
@@ -292,7 +292,7 @@ dmnsn_sRGB_from_color(dmnsn_color color)
   return sRGB;
 }
 
-/* Add two colors in a perceptually correct manner, using CIE L*a*b*. */
+/* Add two colors */
 dmnsn_color
 dmnsn_color_add(dmnsn_color c1, dmnsn_color c2)
 {
@@ -317,6 +317,31 @@ dmnsn_color_add(dmnsn_color c1, dmnsn_color c2)
   return ret;
 }
 
+/* Subtract two colors */
+dmnsn_color
+dmnsn_color_sub(dmnsn_color c1, dmnsn_color c2)
+{
+  dmnsn_sRGB sRGB1 = dmnsn_sRGB_from_color(c1);
+  dmnsn_sRGB sRGB2 = dmnsn_sRGB_from_color(c2);
+
+  dmnsn_sRGB sRGB = {
+    .R = sRGB1.R - sRGB2.R,
+    .G = sRGB1.G - sRGB2.G,
+    .B = sRGB1.B - sRGB2.B
+  };
+
+  dmnsn_color ret = dmnsn_color_from_sRGB(sRGB);
+
+  /* Weighted average of transparencies by intensity */
+  dmnsn_CIE_Lab Lab1 = dmnsn_Lab_from_color(ret, dmnsn_whitepoint);
+  dmnsn_CIE_Lab Lab2 = dmnsn_Lab_from_color(ret, dmnsn_whitepoint);
+  if (Lab1.L + Lab2.L) {
+    ret.filter = (Lab1.L*c1.filter - Lab2.L*c2.filter)/(Lab1.L + Lab2.L);
+    ret.trans  = (Lab1.L*c1.trans  - Lab2.L*c2.trans )/(Lab1.L + Lab2.L);
+  }
+  return ret;
+}
+
 /* Multiply a color by a scalar */
 dmnsn_color
 dmnsn_color_mul(double n, dmnsn_color color)
diff --git a/libdimension/dimension/color.h b/libdimension/dimension/color.h
index cd44712..67fa032 100644
--- a/libdimension/dimension/color.h
+++ b/libdimension/dimension/color.h
@@ -83,6 +83,7 @@ dmnsn_sRGB    dmnsn_sRGB_from_color(dmnsn_color color);
 
 /* Perceptual color manipulation */
 dmnsn_color dmnsn_color_add(dmnsn_color color1, dmnsn_color color2);
+dmnsn_color dmnsn_color_sub(dmnsn_color color1, dmnsn_color color2);
 dmnsn_color dmnsn_color_mul(double n, dmnsn_color color);
 dmnsn_color dmnsn_color_filter(dmnsn_color color, dmnsn_color filter);
 dmnsn_color dmnsn_color_illuminate(dmnsn_color light, dmnsn_color color);
diff --git a/libdimension/dimension/finishes.h b/libdimension/dimension/finishes.h
index b836e51..399ff84 100644
--- a/libdimension/dimension/finishes.h
+++ b/libdimension/dimension/finishes.h
@@ -34,4 +34,8 @@ dmnsn_finish *dmnsn_new_diffuse_finish(double diffuse);
 /* A phong specular highlight */
 dmnsn_finish *dmnsn_new_phong_finish(double specular, double exp);
 
+/* Specular reflection */
+dmnsn_finish *dmnsn_new_reflective_finish(dmnsn_color min, dmnsn_color max,
+                                          double falloff);
+
 #endif /* DIMENSION_FINISHES_H */
diff --git a/libdimension/dimension/scene.h b/libdimension/dimension/scene.h
index d873a6d..2064792 100644
--- a/libdimension/dimension/scene.h
+++ b/libdimension/dimension/scene.h
@@ -31,6 +31,7 @@ typedef enum {
   DMNSN_RENDER_LIGHTS       = 1 << 1,
   DMNSN_RENDER_FINISH       = 1 << 2,
   DMNSN_RENDER_TRANSLUCENCY = 1 << 3,
+  DMNSN_RENDER_REFLECTION   = 1 << 4,
   DMNSN_RENDER_FULL         = ~DMNSN_RENDER_NONE
 } dmnsn_quality;
 
diff --git a/libdimension/dimension/texture.h b/libdimension/dimension/texture.h
index c5f4b3f..4b14918 100644
--- a/libdimension/dimension/texture.h
+++ b/libdimension/dimension/texture.h
@@ -63,13 +63,17 @@ typedef dmnsn_color dmnsn_finish_fn(const dmnsn_finish *finish,
                                     dmnsn_vector viewer);
 typedef dmnsn_color dmnsn_ambient_fn(const dmnsn_finish *finish,
                                      dmnsn_color pigment);
+typedef dmnsn_color dmnsn_reflection_fn(const dmnsn_finish *finish,
+                                        dmnsn_color reflect, dmnsn_color color,
+                                        dmnsn_vector ray, dmnsn_vector normal);
 
 /* dmnsn_finish definition */
 struct dmnsn_finish {
   /* Callbacks */
-  dmnsn_finish_fn *finish_fn;
-  dmnsn_ambient_fn *ambient_fn;
-  dmnsn_free_fn *free_fn;
+  dmnsn_finish_fn     *finish_fn;
+  dmnsn_ambient_fn    *ambient_fn;
+  dmnsn_reflection_fn *reflection_fn;
+  dmnsn_free_fn       *free_fn;
 
   /* Generic pointer */
   void *ptr;
diff --git a/libdimension/finish_combination.c b/libdimension/finish_combination.c
index 045db96..bcfc1c9 100644
--- a/libdimension/finish_combination.c
+++ b/libdimension/finish_combination.c
@@ -34,10 +34,10 @@ dmnsn_finish_combination_fn(const dmnsn_finish *finish,
 {
   dmnsn_finish **params = finish->ptr;
   if (params[0]->finish_fn && params[1]->finish_fn) {
-    return dmnsn_color_add((*params[0]->finish_fn)(params[0], light, color, ray,
-                                                   normal, viewer),
-                           (*params[1]->finish_fn)(params[1], light, color, ray,
-                                                   normal, viewer));
+    return dmnsn_color_add(
+      (*params[0]->finish_fn)(params[0], light, color, ray, normal, viewer),
+      (*params[1]->finish_fn)(params[1], light, color, ray, normal, viewer)
+    );
   } else if (params[0]->finish_fn) {
     return (*params[0]->finish_fn)(params[0], light, color, ray,
                                    normal, viewer);
@@ -66,6 +66,26 @@ dmnsn_finish_combination_ambient_fn(const dmnsn_finish *finish,
   }
 }
 
+static dmnsn_color
+dmnsn_finish_combination_reflection_fn(const dmnsn_finish *finish,
+                                       dmnsn_color reflect, dmnsn_color color,
+                                       dmnsn_vector ray, dmnsn_vector normal)
+{
+  dmnsn_finish **params = finish->ptr;
+  if (params[0]->reflection_fn && params[1]->reflection_fn) {
+    return dmnsn_color_add(
+      (*params[0]->reflection_fn)(params[0], reflect, color, ray, normal),
+      (*params[1]->reflection_fn)(params[1], reflect, color, ray, normal)
+    );
+  } else if (params[0]->reflection_fn) {
+    return (*params[0]->reflection_fn)(params[0], reflect, color, ray, normal);
+  } else if (params[1]->reflection_fn) {
+    return (*params[1]->reflection_fn)(params[1], reflect, color, ray, normal);
+  } else {
+    return dmnsn_black;
+  }
+}
+
 static void
 dmnsn_finish_combination_free_fn(void *ptr)
 {
@@ -93,8 +113,16 @@ dmnsn_new_finish_combination(dmnsn_finish *f1, dmnsn_finish *f2)
       params[1] = f2;
 
       finish->ptr        = params;
-      finish->finish_fn  = &dmnsn_finish_combination_fn;
-      finish->ambient_fn = &dmnsn_finish_combination_ambient_fn;
+
+      if (f1->finish_fn || f2->finish_fn)
+        finish->finish_fn = &dmnsn_finish_combination_fn;
+
+      if (f1->ambient_fn || f2->ambient_fn)
+        finish->ambient_fn = &dmnsn_finish_combination_ambient_fn;
+
+      if (f1->reflection_fn || f2->reflection_fn)
+        finish->reflection_fn = &dmnsn_finish_combination_reflection_fn;
+
       finish->free_fn    = &dmnsn_finish_combination_free_fn;
 
       return finish;
diff --git a/libdimension/raytrace.c b/libdimension/raytrace.c
index 2df267f..9cfb904 100644
--- a/libdimension/raytrace.c
+++ b/libdimension/raytrace.c
@@ -220,6 +220,8 @@ typedef struct dmnsn_raytrace_state {
   const dmnsn_intersection *intersection;
   dmnsn_kD_splay_tree *kD_splay_tree;
   unsigned int level;
+
+  dmnsn_color pigment;
 } dmnsn_raytrace_state;
 
 /* Main helper for dmnsn_raytrace_scene_impl - shoot a ray */
@@ -283,12 +285,9 @@ dmnsn_line_add_epsilon(dmnsn_line l)
   );
 }
 
-static dmnsn_color
-dmnsn_raytrace_pigment(const dmnsn_raytrace_state *state)
+static const dmnsn_pigment *
+dmnsn_raytrace_get_pigment(const dmnsn_raytrace_state *state)
 {
-  /* Default to black if there's no texture/pigment */
-  dmnsn_color color = dmnsn_black;
-
   /* Use the default texture if given a NULL texture */
   const dmnsn_texture *texture
     = state->intersection->texture ? state->intersection->texture
@@ -296,16 +295,42 @@ dmnsn_raytrace_pigment(const dmnsn_raytrace_state *state)
 
   if (texture) {
     /* Use the default pigment if given a NULL pigment */
-    const dmnsn_pigment *pigment
-      = texture->pigment ? texture->pigment
-                         : state->scene->default_texture->pigment;
-
-    if (pigment) {
-      color = (*pigment->pigment_fn)(
-        pigment,
-        dmnsn_line_point(state->intersection->ray, state->intersection->t)
-      );
-    }
+    return texture->pigment ? texture->pigment
+                            : state->scene->default_texture->pigment;
+  } else {
+    return NULL;
+  }
+}
+
+static const dmnsn_finish *
+dmnsn_raytrace_get_finish(const dmnsn_raytrace_state *state)
+{
+  /* Use the default texture if given a NULL texture */
+  const dmnsn_texture *texture
+    = state->intersection->texture ? state->intersection->texture
+                                   : state->scene->default_texture;
+
+  if (texture) {
+    /* Use the default finish if given a NULL finish */
+    return texture->finish ? texture->finish
+                           : state->scene->default_texture->finish;
+  } else {
+    return NULL;
+  }
+}
+
+static dmnsn_color
+dmnsn_raytrace_pigment(const dmnsn_raytrace_state *state)
+{
+  /* Default to black if there's no texture/pigment */
+  dmnsn_color color = dmnsn_black;
+
+  const dmnsn_pigment *pigment = dmnsn_raytrace_get_pigment(state);
+  if (pigment) {
+    color = (*pigment->pigment_fn)(
+      pigment,
+      dmnsn_line_point(state->intersection->ray, state->intersection->t)
+    );
   }
 
   return color;
@@ -366,24 +391,14 @@ dmnsn_raytrace_light_ray(const dmnsn_raytrace_state *state,
 }
 
 static dmnsn_color
-dmnsn_raytrace_lighting(const dmnsn_raytrace_state *state, dmnsn_color color)
+dmnsn_raytrace_lighting(const dmnsn_raytrace_state *state)
 {
-  /* Use the default texture if given a NULL texture */
-  const dmnsn_texture *texture
-    = state->intersection->texture ? state->intersection->texture
-                                   : state->scene->default_texture;
-
-  const dmnsn_finish *finish = NULL;
-  if (texture) {
-    /* Use the default finish if given a NULL finish */
-    finish = texture->finish ? texture->finish
-                             : state->scene->default_texture->finish;
-  }
+  const dmnsn_finish *finish = dmnsn_raytrace_get_finish(state);
 
   /* The illuminated color */
   dmnsn_color illum = dmnsn_black;
   if (finish && finish->ambient_fn)
-    illum = (*finish->ambient_fn)(finish, color);
+    illum = (*finish->ambient_fn)(finish, state->pigment);
 
   dmnsn_vector x0 = dmnsn_line_point(state->intersection->ray,
                                      state->intersection->t);
@@ -410,11 +425,11 @@ dmnsn_raytrace_lighting(const dmnsn_raytrace_state *state, dmnsn_color color)
 
         /* Get this light's color contribution to the object */
         dmnsn_color contrib = (*finish->finish_fn)(finish,
-                                                   light_color, color,
+                                                   light_color, state->pigment,
                                                    ray, normal, viewer);
         illum = dmnsn_color_add(contrib, illum);
       } else {
-        illum = color;
+        illum = state->pigment;
       }
     }
   }
@@ -423,12 +438,46 @@ dmnsn_raytrace_lighting(const dmnsn_raytrace_state *state, dmnsn_color color)
 }
 
 static dmnsn_color
+dmnsn_raytrace_reflection(const dmnsn_raytrace_state *state, dmnsn_color color)
+{
+  const dmnsn_finish *finish = dmnsn_raytrace_get_finish(state);
+  dmnsn_color refl = color;
+
+  if (finish && finish->reflection_fn) {
+    dmnsn_vector normal = state->intersection->normal;
+    dmnsn_vector viewer = dmnsn_vector_normalize(
+      dmnsn_vector_negate(state->intersection->ray.n)
+    );
+    dmnsn_vector ray = dmnsn_vector_sub(
+      dmnsn_vector_mul(2*dmnsn_vector_dot(viewer, normal), normal),
+      viewer
+    );
+
+    dmnsn_line refl_ray = dmnsn_new_line(
+      dmnsn_line_point(state->intersection->ray, state->intersection->t),
+      ray
+    );
+    refl_ray = dmnsn_line_add_epsilon(refl_ray);
+
+    dmnsn_raytrace_state recursive_state = *state;
+    dmnsn_color rec = dmnsn_raytrace_shoot(&recursive_state, refl_ray);
+    refl = dmnsn_color_add(
+      (*finish->reflection_fn)(finish, rec, state->pigment, ray, normal),
+      refl
+    );
+  }
+
+  return refl;
+}
+
+static dmnsn_color
 dmnsn_raytrace_translucency(const dmnsn_raytrace_state *state,
-                            dmnsn_color color, dmnsn_color pigment)
+                            dmnsn_color color)
 {
   dmnsn_color trans = color;
-  if (pigment.filter || pigment.trans) {
-    trans = dmnsn_color_mul(1.0 - pigment.filter - pigment.trans, color);
+  if (state->pigment.filter || state->pigment.trans) {
+    trans = dmnsn_color_mul(1.0 - state->pigment.filter - state->pigment.trans,
+                            color);
 
     dmnsn_line trans_ray = dmnsn_new_line(
       dmnsn_line_point(state->intersection->ray, state->intersection->t),
@@ -438,7 +487,7 @@ dmnsn_raytrace_translucency(const dmnsn_raytrace_state *state,
 
     dmnsn_raytrace_state recursive_state = *state;
     dmnsn_color rec = dmnsn_raytrace_shoot(&recursive_state, trans_ray);
-    dmnsn_color filtered = dmnsn_color_filter(rec, pigment);
+    dmnsn_color filtered = dmnsn_color_filter(rec, state->pigment);
     trans = dmnsn_color_add(trans, filtered);
   }
   return trans;
@@ -459,26 +508,33 @@ dmnsn_raytrace_shoot(dmnsn_raytrace_state *state, dmnsn_line ray)
   if (intersection) {
     state->intersection = intersection;
 
-    /* Get the pigment of the object */
-    dmnsn_color pigment = dmnsn_black;
+    /* Pigment */
+    state->pigment = dmnsn_black;
     if (state->scene->quality & DMNSN_RENDER_PIGMENT) {
-      pigment = dmnsn_raytrace_pigment(state);
+      state->pigment = dmnsn_raytrace_pigment(state);
     }
-    color = pigment;
+    color = state->pigment;
 
-    /* Account for finishes and shadows */
-    dmnsn_color illum = pigment;
+    /* Finishes and shadows */
+    dmnsn_color illum = color;
     if (state->scene->quality & DMNSN_RENDER_LIGHTS) {
-      illum = dmnsn_raytrace_lighting(state, illum);
+      illum = dmnsn_raytrace_lighting(state);
     }
     color = illum;
 
-    /* Account for translucency */
-    dmnsn_color trans = illum;
+    /* Reflection */
+    dmnsn_color refl = illum;
+    if (state->scene->quality & DMNSN_RENDER_REFLECTION) {
+      refl = dmnsn_raytrace_reflection(state, refl);
+    }
+    color = refl;
+
+    /* Translucency */
+    dmnsn_color trans = color;
     trans.filter = 0.0;
     trans.trans  = 0.0;
     if (state->scene->quality & DMNSN_RENDER_TRANSLUCENCY) {
-      trans = dmnsn_raytrace_translucency(state, trans, pigment);
+      trans = dmnsn_raytrace_translucency(state, trans);
     }
     color = trans;
 
diff --git a/libdimension/reflective.c b/libdimension/reflective.c
new file mode 100644
index 0000000..f1c7355
--- /dev/null
+++ b/libdimension/reflective.c
@@ -0,0 +1,74 @@
+/*************************************************************************
+ * Copyright (C) 2009 Tavian Barnes <tavianator@gmail.com>               *
+ *                                                                       *
+ * This file is part of The Dimension Library.                           *
+ *                                                                       *
+ * The Dimension Library is free software; you can redistribute it and/  *
+ * or modify it under the terms of the GNU Lesser General Public License *
+ * as published by the Free Software Foundation; either version 3 of the *
+ * License, or (at your option) any later version.                       *
+ *                                                                       *
+ * The Dimension Library is distributed in the hope that it will be      *
+ * useful, but WITHOUT ANY WARRANTY; without even the implied warranty   *
+ * of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU  *
+ * Lesser General Public License for more details.                       *
+ *                                                                       *
+ * You should have received a copy of the GNU Lesser General Public      *
+ * License along with this program.  If not, see                         *
+ * <http://www.gnu.org/licenses/>.                                       *
+ *************************************************************************/
+
+#include "dimension.h"
+#include <stdlib.h> /* For malloc */
+#include <math.h>
+
+/*
+ * Reflective finish
+ */
+
+typedef struct dmnsn_reflection_params {
+  dmnsn_color min, max;
+  double falloff;
+} dmnsn_reflection_params;
+
+static dmnsn_color
+dmnsn_reflective_finish_fn(const dmnsn_finish *finish,
+                           dmnsn_color reflect, dmnsn_color color,
+                           dmnsn_vector ray, dmnsn_vector normal)
+{
+  dmnsn_reflection_params *params = finish->ptr;
+  double reflection = pow(dmnsn_vector_dot(ray, normal), params->falloff);
+
+  return dmnsn_color_illuminate(
+    dmnsn_color_add(
+      dmnsn_color_mul(
+        reflection,
+        dmnsn_color_sub(params->max, params->min)
+      ),
+      params->min
+    ),
+    reflect
+  );
+}
+
+dmnsn_finish *
+dmnsn_new_reflective_finish(dmnsn_color min, dmnsn_color max, double falloff)
+{
+  dmnsn_finish *finish = dmnsn_new_finish();
+  if (finish) {
+    dmnsn_reflection_params *params = malloc(sizeof(dmnsn_reflection_params));
+    if (!params) {
+      dmnsn_delete_finish(finish);
+      return NULL;
+    }
+
+    params->min     = min;
+    params->max     = max;
+    params->falloff = falloff;
+
+    finish->ptr           = params;
+    finish->reflection_fn = &dmnsn_reflective_finish_fn;
+    finish->free_fn       = &free;
+  }
+  return finish;
+}
diff --git a/libdimension/texture.c b/libdimension/texture.c
index 5fdd708..5878a02 100644
--- a/libdimension/texture.c
+++ b/libdimension/texture.c
@@ -50,9 +50,10 @@ dmnsn_new_finish()
 {
   dmnsn_finish *finish = malloc(sizeof(dmnsn_finish));
   if (finish) {
-    finish->finish_fn  = NULL;
-    finish->ambient_fn = NULL;
-    finish->free_fn    = NULL;
+    finish->finish_fn     = NULL;
+    finish->ambient_fn    = NULL;
+    finish->reflection_fn = NULL;
+    finish->free_fn       = NULL;
   }
   return finish;
 }