From: Charles McGarvey Date: Thu, 19 Apr 2012 04:05:34 +0000 (-0600) Subject: basic ray tracing with hard shadows X-Git-Tag: project5~2 X-Git-Url: https://git.dogcows.com/gitweb?p=chaz%2Frasterize;a=commitdiff_plain;h=a737ad45e690daa3b39b8885e2b6574d2ea48833 basic ray tracing with hard shadows --- diff --git a/Makefile b/Makefile index 16e0ee7..62f6b7d 100644 --- a/Makefile +++ b/Makefile @@ -1,6 +1,8 @@ PROJECT = raytrace -IUSE = EXTRA_INLINE +IUSE = EXTRA_INLINE SHADOWS + +VIEWER = feh CXX = g++ EXEEXT = @@ -31,7 +33,7 @@ dist: git archive HEAD --prefix=$(PROJECT)/ --output=$(PROJECT).zip run: $(PROG) - ./$< + ./$< && $(VIEWER) scene.ppm debug: $(PROG) gdb ./$< diff --git a/animate.lua b/animate.lua index 0b77776..1e8daf7 100755 --- a/animate.lua +++ b/animate.lua @@ -17,8 +17,8 @@ local frames = 360 -- Define the code to calculate where the camera is, in world coordinates. local eye = function(frame) -- just rotate around the center of the scene on the XZ plane - local center = vec_new(0, 0.4, 0) - local distance = 0.7 + local center = vec_new(0, -0.5, 0) + local distance = 4 local start = math.pi local t = start + 2 * math.pi * frame / frames local v = vec_new(math.cos(t), 0, math.sin(t)) @@ -35,7 +35,12 @@ end -- extended urt format. local scene = [[ l 0.0 10.0 1.0 0.8 0.7 0.8 -s 0.0 0.0 0.0 1.0 1.0 0.0 0.0 +p 0.0 -5.0 0.0 0.0 1.0 0.0 0.4 0.8 0.4 +s 0.0 0.0 0.0 1.25 1.0 0.0 0.0 +s -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 +s 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 +t -1.5 0.0 1.5 -1.0 1.0 0.0 -0.5 0.0 1.5 0.8 0.9 0.2 +t 1.5 0.0 1.5 1.0 1.0 0.0 0.5 0.0 1.5 0.2 0.9 0.8 ]] -- Set the number of samples for supersampling. If this is set to a value @@ -92,7 +97,7 @@ U5 %f %f %f 0 1 0 1.57 %f -1.0 1.0 1.0 +0.4 0.4 0.4 %s X ]], w, h, e.x, e.y, e.z, l.x, l.y, l.z, size.w/size.h, scene)) diff --git a/config.hh b/config.hh index 651b600..0dde062 100644 --- a/config.hh +++ b/config.hh @@ -73,6 +73,16 @@ #define IF_NDEBUG(X) #endif +/* + * SHADOWS + * If enabled, scene elements will cast shadows on other elements. + */ +#if SHADOWS +#define IF_SHADOWS(X) X +#else +#define IF_SHADOWS(X) +#endif + /* * VERBOSITY * If enabled, a description of what is happening will be printed to stdout. diff --git a/contact.hh b/contact.hh new file mode 100644 index 0000000..a140cc2 --- /dev/null +++ b/contact.hh @@ -0,0 +1,52 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _CONTACT_HH_ +#define _CONTACT_HH_ + +#include "vec.hh" + + +/* + * A class for a collision contact. + */ +struct contact +{ + vec_t p; // point of collision + vec_t n; // normal of surface at collision point + scal_t d; // distance along the ray +}; +typedef struct contact contact_t; + +/* + * Initialize a contact with a point of contact, normal of surface at + * contact point, and distance along ray. + */ +INLINE_MAYBE +void contact_init(contact_t* c, vec_t point, vec_t normal, scal_t distance) +{ + c->p = point; + c->n = normal; + c->d = distance; +} + + +/* + * Create a new contact with a point of contact, normal of surface at + * contact point, and distance along ray. + */ +INLINE_MAYBE +contact_t contact_new(vec_t point, vec_t normal, scal_t distance) +{ + contact_t c; + contact_init(&c, point, normal, distance); + return c; +} + + +#endif // _CONTACT_HH_ + diff --git a/element.hh b/element.hh new file mode 100644 index 0000000..7eb8988 --- /dev/null +++ b/element.hh @@ -0,0 +1,103 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _ELEMENT_HH_ +#define _ELEMENT_HH_ + +#include "color.hh" +#include "contact.hh" +#include "light.hh" +#include "ray.hh" +#include "scene.hh" + + +namespace rt { + + +/* + * A base class for an object in a scene. + */ +class element +{ +public: + + virtual ~element() + {} + + /* + * Determine if a ray intersects this element. + */ + virtual bool intersect(ray_t ray, contact_t& hit) const = 0; + + /* + * Get the material color of the element at a surface point. + */ + virtual color_t color(vec_t point) const + { + return COLOR_WHITE; + } + + /* + * Cast a ray to this element, returning the correct color value. + */ + color_t cast(const contact_t& hit, const scene_t* scene) const + { + color_t Ia = color_mult(scene_ambient(scene), color(hit.p)); + color_t Id = diffuse(hit, scene); + return color_clamp(color_add(Ia, Id)); + } + + /* + * Get whether or not a particular surface point is shadowed by other + * objects for a given light source. + */ + bool is_shadowed(const contact_t& hit, const scene_t* scene, const light_t* light) const + { +#if SHADOWS + ray_t ray = ray_normalize(ray_new(hit.p, vec_sub(light->v, hit.p))); + for (list_t* i = scene_elements(scene); i; i = i->link) { + rt::element* obj = (rt::element*)i->val; + contact_t hit; + if (this != obj && obj->intersect(ray, hit)) { + return true; + } + } +#endif + + return false; + } + + /* + * Get the color of the element at a surface point after diffuse + * lighting. + */ + color_t diffuse(const contact_t& hit, const scene_t* scene) const + { + color_t kd = color(hit.p); + vec_t n = vec_normalize(hit.n); + + color_t c = COLOR_BLACK; + + for (list_t* i = scene_lights(scene); i; i = i->link) { + light_t* l = (light_t*)i->val; + if (!is_shadowed(hit, scene, l)) { + vec_t I = vec_normalize(vec_sub(l->v, hit.p)); + scal_t dot = scal_max(vec_dot(I, n), S(0.0)); + color_t Id = color_scale2(kd, l->d, dot); + c = color_add(c, Id); + } + } + + return c; + } +}; + + +} // namespace rt + +#endif // _ELEMENT_HH_ + diff --git a/light.hh b/light.hh index 2ab9c6a..4f1961e 100644 --- a/light.hh +++ b/light.hh @@ -19,7 +19,6 @@ struct light { vec_t v; // position color_t d; // diffuse - color_t s; // specular }; typedef struct light light_t; @@ -27,11 +26,10 @@ typedef struct light light_t; * Initialize a light with a position and color. */ INLINE_MAYBE -void light_init(light_t* l, vec_t position, color_t diffuse, color_t specular) +void light_init(light_t* l, vec_t position, color_t diffuse) { l->v = position; l->d = diffuse; - l->s = specular; } @@ -39,10 +37,10 @@ void light_init(light_t* l, vec_t position, color_t diffuse, color_t specular) * Create a new light with a position and color. */ INLINE_MAYBE -light_t light_new(vec_t position, color_t diffuse, color_t specular) +light_t light_new(vec_t position, color_t diffuse) { light_t l; - light_init(&l, position, diffuse, specular); + light_init(&l, position, diffuse); return l; } @@ -51,10 +49,10 @@ light_t light_new(vec_t position, color_t diffuse, color_t specular) * Create a new light on the heap. */ INLINE_MAYBE -light_t* light_alloc(vec_t position, color_t diffuse, color_t specular) +light_t* light_alloc(vec_t position, color_t diffuse) { light_t* l = (light_t*)mem_alloc(sizeof(light_t)); - light_init(l, position, diffuse, specular); + light_init(l, position, diffuse); return l; } diff --git a/light.urt b/light.urt new file mode 100644 index 0000000..7c9efb6 --- /dev/null +++ b/light.urt @@ -0,0 +1,13 @@ +U5 +800 600 +0.0 5.0 10.0 +0.0 0.0 0.0 +0.0 1.0 0.0 +1.57 1.333 +0.4 0.4 0.4 +l 0.0 0.0 1.0 0.8 0.7 0.8 +l 2.0 0.0 1.0 0.4 0.7 0.9 +p 0.0 -5.0 0.0 0.0 1.0 0.0 0.4 0.8 0.4 +s 0.0 -3.0 0.0 1.25 1.0 0.0 0.0 +s -3.0 -2.0 0.0 1.0 0.0 1.0 0.0 +s 3.0 -3.1 0.0 1.0 0.0 0.0 1.0 diff --git a/plane.hh b/plane.hh new file mode 100644 index 0000000..6190cf9 --- /dev/null +++ b/plane.hh @@ -0,0 +1,98 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _PLANE_HH_ +#define _PLANE_HH_ + +#include "color.hh" +#include "element.hh" + + +namespace rt { + + +/* + * A class for a plane object. + */ +class plane : public element +{ +public: + + color_t material; + vec_t normal; + scal_t distance; + + plane(vec_t n, scal_t d, color_t color = COLOR_WHITE) : + normal(n), distance(d), material(color) + {} + + plane(vec_t p, vec_t n, color_t color = COLOR_WHITE) : + normal(vec_normalize(n)), distance(-vec_dot(normal, p)), material(color) + {} + + plane(vec_t a, vec_t b, vec_t c, color_t color = COLOR_WHITE) : + normal(vec_normalize(vec_cross(vec_sub(b, a), vec_sub(c, a)))), + distance(-vec_dot(normal, a)), material(color) + {} + + virtual ~plane() + {} + + virtual bool intersect(ray_t ray, contact_t& hit) const + { + // solve: [(ray.point + t*ray.direction) dot normal] + d = 0 + + scal_t denom = vec_dot(ray.d, normal); + + // check for parallel condition + if (denom == S(0.0)) { + if (scal_isequal(vec_dot(ray.o, normal), -distance)) { + hit.p = ray.o; + hit.d = S(0.0); + hit.n = VEC_ZERO; + return true; // the ray lies on the plane + } + return false; // no solution + } + + scal_t numer = vec_dot(ray.o, normal) + distance; + hit.d = -numer / denom; + if (hit.d < S(0.0)) { + return false; + } + + hit.p = ray_solve(ray, hit.d); + if (S(0.0) <= numer) { + hit.n = normal; + } + else { + hit.n = vec_neg(normal); + } + return true; + } + + virtual color_t color(vec_t point) const + { + return material; + } +}; + + +/* + * Destroy a new'd plane, releasing its memory. + */ +INLINE_MAYBE +void plane_destroy(plane* p) +{ + delete p; +} + + +} // namespace rt + +#endif // _PLANE_HH_ + diff --git a/ray.hh b/ray.hh new file mode 100644 index 0000000..0e2bb67 --- /dev/null +++ b/ray.hh @@ -0,0 +1,69 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _RAY_HH_ +#define _RAY_HH_ + +#include "vec.hh" + + +/* + * A simple ray class. + */ +struct ray +{ + vec_t o; + vec_t d; +}; +typedef struct ray ray_t; + +/* + * Initialize a ray with an origin point and a direction. + */ +INLINE_MAYBE +void ray_init(ray_t* r, vec_t origin, vec_t direction) +{ + r->o = origin; + r->d = direction; +} + + +/* + * Create a new ray with an origin point and a direction. + */ +INLINE_MAYBE +ray_t ray_new(vec_t origin, vec_t direction) +{ + ray_t r; + ray_init(&r, origin, direction); + return r; +} + + +/* + * Normalize the direction of a ray. + */ +INLINE_MAYBE +ray_t ray_normalize(ray_t r) +{ + return ray_new(r.o, vec_normalize(r.d)); +} + + +/* + * Solve for a point along the array, given a distance. The ray must be + * normalized for this to work as expected. + */ +INLINE_MAYBE +vec_t ray_solve(ray_t r, scal_t distance) +{ + return vec_add(r.o, vec_scale(r.d, distance)); +} + + +#endif // _RAY_HH_ + diff --git a/scene.cc b/scene.cc index f0635d8..a415ab0 100644 --- a/scene.cc +++ b/scene.cc @@ -6,9 +6,13 @@ */ #include +#include +#include "contact.hh" #include "light.hh" -#include "list.hh" +#include "plane.hh" +#include "sphere.hh" +#include "triangle.hh" #include "vec.hh" #include "scene.hh" @@ -17,17 +21,18 @@ static int _scene_add_light(scene_t* s, FILE* file); static int _scene_add_sphere(scene_t* s, FILE* file); static int _scene_add_plane(scene_t* s, FILE* file); +static int _scene_add_triangle(scene_t* s, FILE* file); struct scene { int w, h; vec_t eye; - vec_t spot; - vec_t up; + vec_t screenCenter; + vec_t screenU; + vec_t screenV; list_t* lights; - list_t* spheres; - list_t* planes; + list_t* objects; color_t ambient; }; @@ -47,16 +52,26 @@ scene_t* scene_alloc(FILE* file) return NULL; } + vec_t eye = vec_new(eyeX, eyeY, eyeZ); + vec_t spot = vec_new(spotX, spotY, spotZ); + vec_t up = vec_new(upX, upY, upZ); + scal_t d = S(1.0) / scal_tan((scal_t)fovy * S(0.5)); + + vec_t look = vec_normalize(vec_sub(spot, eye)); + vec_t screenCenter = vec_scale(look, d); + vec_t screenU = vec_normalize(vec_cross(look, up)); + vec_t screenV = vec_cross(screenU, look); + screenU = vec_scale(screenU, (scal_t)aspect); + scene_t* s = (scene_t*)mem_alloc(sizeof(scene_t)); s->w = w; s->h = h; - s->eye = vec_new(eyeX, eyeY, eyeZ); - s->spot = vec_new(spotX, spotY, spotZ); - s->up = vec_new(upX, upY, upZ); - // what to do with fovy and aspect... + s->eye = eye; + s->screenCenter = screenCenter; + s->screenU = screenU; + s->screenV = screenV; s->lights = NULL; - s->spheres = NULL; - s->planes = NULL; + s->objects = NULL; s->ambient = color_new((scal_t)aR, (scal_t)aG, (scal_t)aB, S(1.0)); char type; @@ -80,6 +95,12 @@ scene_t* scene_alloc(FILE* file) } break; + case 't': + if (_scene_add_triangle(s, file) != 0) { + goto fail; + } + break; + case 'X': goto done; @@ -87,11 +108,9 @@ scene_t* scene_alloc(FILE* file) fprintf(stderr, "Unknown identifier: %c\n", type); } } -#undef _ASSERT_G done: - if (s->spheres) list_reverse(&s->spheres); - if (s->planes) list_reverse(&s->planes); + if (s->objects) list_reverse(&s->objects); return s; fail: @@ -102,8 +121,7 @@ fail: void scene_destroy(scene_t* s) { if (s->lights) list_destroy(&s->lights); - if (s->spheres) list_destroy(&s->spheres); - if (s->planes) list_destroy(&s->planes); + if (s->objects) list_destroy(&s->objects); mem_free(s); } @@ -121,7 +139,6 @@ static int _scene_add_light(scene_t* s, FILE* file) } light_t* l = light_alloc( vec_new(lx, ly, lz), - color_new((scal_t)r, (scal_t)g, (scal_t)b, S(1.0)), color_new((scal_t)r, (scal_t)g, (scal_t)b, S(1.0)) ); list_push2(&s->lights, l, mem_free); @@ -136,7 +153,12 @@ static int _scene_add_sphere(scene_t* s, FILE* file) fprintf(stderr, "Cannot read sphere values from scene.\n"); return -1; } - /*list_push2(&s->spheres, s, mem_free);*/ + rt::element* sphere = new rt::sphere( + vec_new((scal_t)x, (scal_t)y, (scal_t)z), + (scal_t)radius, + color_new((scal_t)r, (scal_t)g, (scal_t)b, S(1.0)) + ); + list_push2(&s->objects, sphere, DTOR(rt::sphere_destroy)); return 0; } @@ -148,12 +170,51 @@ static int _scene_add_plane(scene_t* s, FILE* file) fprintf(stderr, "Cannot read plane values from scene.\n"); return -1; } - /*list_push2(&s->planes, s, mem_free);*/ + rt::element* plane = new rt::plane( + vec_new((scal_t)x, (scal_t)y, (scal_t)z), + vec_new((scal_t)nx, (scal_t)ny, (scal_t)nz), + color_new((scal_t)r, (scal_t)g, (scal_t)b, S(1.0)) + ); + list_push2(&s->objects, plane, DTOR(rt::plane_destroy)); + return 0; +} + +static int _scene_add_triangle(scene_t* s, FILE* file) +{ + double x1, y1, z1, x2, y2, z2, x3, y3, z3, r, g, b; + if (fscanf(file, " %lf %lf %lf %lf %lf %lf %lf %lf %lf %lf %lf %lf", + &x1, &y1, &z1, &x2, &y2, &z2, &x3, &y3, &z3, &r, &g, &b) != 12) { + fprintf(stderr, "Cannot read triangle values from scene.\n"); + return -1; + } + rt::element* triangle = new rt::triangle( + vec_new((scal_t)x1, (scal_t)y1, (scal_t)z1), + vec_new((scal_t)x2, (scal_t)y2, (scal_t)z2), + vec_new((scal_t)x3, (scal_t)y3, (scal_t)z3), + color_new((scal_t)r, (scal_t)g, (scal_t)b, S(1.0)) + ); + list_push2(&s->objects, triangle, DTOR(rt::triangle_destroy)); return 0; } -raster_t* scene_render(scene_t* s) +list_t* scene_elements(const scene_t* s) +{ + return s->objects; +} + +list_t* scene_lights(const scene_t* s) +{ + return s->lights; +} + +color_t scene_ambient(const scene_t* s) +{ + return s->ambient; +} + + +raster_t* scene_render(const scene_t* s) { #if VERBOSITY >= 3 timer_start(); @@ -169,7 +230,37 @@ raster_t* scene_render(scene_t* s) printf("rendering scene...\n"); #endif - // RENDER IT + scal_t wh = S(2.0) / (scal_t)s->w; + scal_t hh = S(2.0) / (scal_t)s->h; + + for (int y = 0; y < s->h; ++y) { + for (int x = 0; x < s->w; ++x) { + color_t* pixel = raster_color(p, x, y); + scal_t u = (scal_t)x * wh - S(1.0); + scal_t v = (scal_t)y * hh - S(1.0); + vec_t rayDirection = vec_add2(s->screenCenter, + vec_scale(s->screenU, u), vec_scale(s->screenV, v)); + + ray_t ray = ray_normalize(ray_new(s->eye, rayDirection)); + + rt::element* nearestObj = 0; + contact_t nearestHit; + + // find the nearest object along the ray + for (list_t* i = s->objects; i; i = i->link) { + rt::element* obj = (rt::element*)i->val; + contact_t hit; + if (obj->intersect(ray, hit) && (!nearestObj || hit.d < nearestHit.d)) { + nearestObj = obj; + nearestHit = hit; + } + } + + if (nearestObj) { + *pixel = nearestObj->cast(nearestHit, s); + } + } + } #if VERBOSITY >= 3 long dt = timer_stop(); diff --git a/scene.hh b/scene.hh index 3e7293d..e0c7d39 100644 --- a/scene.hh +++ b/scene.hh @@ -8,6 +8,7 @@ #ifndef _SCENE_HH_ #define _SCENE_HH_ +#include "list.hh" #include "raster.hh" @@ -27,11 +28,27 @@ scene_t* scene_alloc(FILE* file); void scene_destroy(scene_t* s); +/* + * Get the elements of a scene. + */ +list_t* scene_elements(const scene_t* s); + +/* + * Get the lights of a scene. + */ +list_t* scene_lights(const scene_t* s); + +/* + * Get the ambient light color of the scene. + */ +color_t scene_ambient(const scene_t* s); + + /* * Render a scene to an in-memory raster. The caller takes ownership of the * returned object and must destroy it when it is no longer needed. */ -raster_t* scene_render(scene_t* s); +raster_t* scene_render(const scene_t* s); #endif // _SCENE_HH_ diff --git a/sphere.hh b/sphere.hh new file mode 100644 index 0000000..cbacac9 --- /dev/null +++ b/sphere.hh @@ -0,0 +1,84 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _SPHERE_HH_ +#define _SPHERE_HH_ + +#include "color.hh" +#include "element.hh" + + +namespace rt { + + +/* + * A class for a sphere object. + */ +class sphere : public element +{ +public: + + color_t material; + vec_t origin; + scal_t radius; + + sphere(vec_t o, scal_t r = S(1.0), color_t color = COLOR_WHITE) : + origin(o), radius(r), material(color) + {} + + virtual ~sphere() + {} + + virtual bool intersect(ray_t ray, contact_t& hit) const + { + vec_t b = vec_sub(origin, ray.o); + scal_t z = vec_dot(b, ray.d); + + // check if the sphere is behind the ray + if (z < S(0.0)) { + return false; + } + + scal_t d2 = vec_dot(b, b) - z * z; + scal_t r2 = radius * radius; + + // check for an intersection + if (r2 < d2) { + return false; + } + + hit.d = z - std::sqrt(r2 - d2); + if (hit.d < S(0.0)) { + return false; + } + + hit.p = ray_solve(ray, hit.d); + hit.n = vec_sub(hit.p, origin); + return true; + } + + virtual color_t color(vec_t point) const + { + return material; + } +}; + + +/* + * Destroy a new'd sphere, releasing its memory. + */ +INLINE_MAYBE +void sphere_destroy(sphere* s) +{ + delete s; +} + + +} // namespace rt + +#endif // _SPHERE_HH_ + diff --git a/teapot.urt b/teapot.urt new file mode 100644 index 0000000..34ebe27 --- /dev/null +++ b/teapot.urt @@ -0,0 +1,1033 @@ +U5 +160 120 +0.0 75.0 200.0 +0.0 0.0 0.0 +0.0 1.0 0.0 +1.57 1.333 +0.4 0.4 0.4 +l 0.0 1000.0 1.0 0.8 0.7 0.8 +p 0.0 -100.0 0.0 0.0 1.0 0.0 0.4 0.4 0.1 +t 37.7841 28.3457 -1.10804 34.9202 28.3457 -15.6121 31.1507 30.8773 -14.0083 0.2 0.8 0.1 +t 31.1507 30.8773 -14.0083 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40.0714 30.4443 -1.10804 0.2 0.8 0.1 +t 40.0714 30.4443 -1.10804 37.0303 30.4443 14.2938 37.6244 31.1438 14.5466 0.2 0.8 0.1 +t 37.0303 30.4443 14.2938 40.0714 30.4443 -1.10804 40.6266 28.3457 -1.10804 0.2 0.8 0.1 +t 40.6266 28.3457 -1.10804 37.5425 28.3457 14.5117 37.0303 30.4443 14.2938 0.2 0.8 0.1 diff --git a/tex.urt b/tex.urt new file mode 100644 index 0000000..ddc8a31 --- /dev/null +++ b/tex.urt @@ -0,0 +1,9 @@ +U5 +800 600 +0.0 1.0 2.0 +0.0 0.0 0.0 +0.0 1.0 0.0 +1.57 1.333 +0.4 0.4 0.4 +l 0.0 10.0 1.0 0.8 0.7 0.8 +s 0.0 0.0 0.0 1.0 1.0 0.0 0.0 diff --git a/triangle.hh b/triangle.hh new file mode 100644 index 0000000..8113f9a --- /dev/null +++ b/triangle.hh @@ -0,0 +1,90 @@ + +/* + * CS5600 University of Utah + * Charles McGarvey + * mcgarvey@eng.utah.edu + */ + +#ifndef _TRIANGLE_HH_ +#define _TRIANGLE_HH_ + +#include "color.hh" +#include "element.hh" + + +namespace rt { + + +/* + * A class for a triangle object. + */ +class triangle : public element +{ +public: + + color_t material; + vec_t a; + vec_t b; + vec_t c; + + triangle(vec_t a, vec_t b, vec_t c, color_t color = COLOR_WHITE) : + a(a), b(b), c(c), material(color) + {} + + virtual ~triangle() + {} + + virtual bool intersect(ray_t ray, contact_t& hit) const + { + plane p = plane(a, b, c); + if (!p.intersect(ray, hit)) { + return false; + } + + scal_t bc[3]; + if (barycentric(bc, hit.p)) { + return true; + } + + return false; + } + + virtual color_t color(vec_t point) const + { + return material; + } + + /* + * Calculate barycentric coordinates for the triangle. + */ + bool barycentric(scal_t* bc, vec_t v) const + { + scal_t denom = (b.y - c.y) * (a.x - c.x) + (c.x - b.x) * (a.y - c.y); + bc[0] = ((b.y - c.y) * (v.x - c.x) + (c.x - b.x) * (v.y - c.y)) / denom; + bc[1] = ((c.y - a.y) * (v.x - c.x) + (a.x - c.x) * (v.y - c.y)) / denom; + bc[2] = S(1.0) - bc[0] - bc[1]; + if (S(0.0) <= bc[0] && bc[0] <= S(1.0) && + S(0.0) <= bc[1] && bc[1] <= S(1.0) && + S(0.0) <= bc[2] && bc[2] <= S(1.0)) { + return true; + } + return false; + } +}; + + +/* + * Destroy a new'd triangle, releasing its memory. + */ +INLINE_MAYBE +void triangle_destroy(plane* t) +{ + delete t; +} + + +} // namespace rt + +#endif // _PLANE_HH_ + + diff --git a/triangle.urt b/triangle.urt new file mode 100644 index 0000000..2d63f66 --- /dev/null +++ b/triangle.urt @@ -0,0 +1,14 @@ +U5 +800 600 +0.0 -0.5 4.0 +0.0 0.0 0.0 +0.0 1.0 0.0 +1.57 1.333 +0.4 0.4 0.4 +l 0.0 10.0 1.0 0.8 0.7 0.8 +p 0.0 -5.0 0.0 0.0 1.0 0.0 0.4 0.8 0.4 +s 0.0 0.0 0.0 1.25 1.0 0.0 0.0 +s -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 +s 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 +t -1.5 0.0 1.5 -1.0 1.0 0.0 -0.5 0.0 1.5 0.8 0.9 0.2 +t 1.5 0.0 1.5 1.0 1.0 0.0 0.5 0.0 1.5 0.2 0.9 0.8