/** \file * Render a hidden wireframe version of an STL file. * */ #include #include #include #include #include #include #include #include #include "v3.h" #include "camera.h" #ifndef M_PI #define M_PI 3.1415926535897932384 #endif static int debug = 1; typedef struct { char header[80]; uint32_t num_triangles; } __attribute__((__packed__)) stl_header_t; typedef struct { v3_t normal; v3_t p[3]; uint16_t attr; } __attribute__((__packed__)) stl_face_t; typedef struct _tri_t tri_t; struct _tri_t { v3_t p[3]; v3_t normal; float area; float min[3]; float max[3]; tri_t * next; tri_t ** prev; }; // line segment has to track its source so that it knows which to not // compare against in its occlusion checks. typedef struct _seg_t seg_t; struct _seg_t { v3_t p[2]; v3_t src[2]; seg_t * next; }; #if 0 typedef struct face face_t; typedef struct poly poly_t; struct face { float sides[3]; face_t * next[3]; int next_edge[3]; int coplanar[3]; int used; }; // once this triangle has been used, it will be placed // in a polygon group and fixed in a position relative to that group struct poly { int start_edge; int printed; // local coordinates of the triangle vertices float a; float x2; float y2; float rot; // absolute coordintes of the triangle vertices float p[3][2]; // todo: make this const and add backtracking face_t * face; poly_t * next[3]; poly_t * work_next; }; /* Compare two edges in two triangles. * * note that if the windings are all the same, the edges will * compare in the opposite order (for example, the edge from 0 to 1 * compares to the edge from 2 to 1 in the other triangle). */ static int edge_eq2( const stl_face_t * const t0, const stl_face_t * const t1, int e0, int e1 ) { const v3_t * const v00 = &t0->p[e0]; const v3_t * const v01 = &t0->p[(e0+1) % 3]; const v3_t * const v10 = &t1->p[e1]; const v3_t * const v11 = &t1->p[(e1+1) % 3]; if (v3_eq(v00, v11) && v3_eq(v01, v10)) return 1; return 0; } #endif void svg_line( const char * color, const float * p1, const float * p2, int dash ) { if (!dash) { printf("\n", p1[0], p1[1], p2[0], p2[1], color ); return; } // dashed line, split in the middle const float dx = p2[0] - p1[0]; const float dy = p2[1] - p1[1]; const float h1[] = { p1[0] + dx*0.45, p1[1] + dy*0.45, }; const float h2[] = { p1[0] + dx*0.55, p1[1] + dy*0.55, }; svg_line(color, p1, h1, 0); svg_line(color, h2, p2, 0); } #if 0 void rotate( float * p, const float * origin, float a, float x, float y ) { p[0] = cos(a) * x - sin(a) * y + origin[0]; p[1] = sin(a) * x + cos(a) * y + origin[1]; } /* Rotate and translate a triangle */ void poly_position( poly_t * const g, const poly_t * const g_src, float rot, float trans_x, float trans_y ) { const face_t * const f = g->face; const int start_edge = g->start_edge; float a = f->sides[(start_edge + 0) % 3]; float c = f->sides[(start_edge + 1) % 3]; float b = f->sides[(start_edge + 2) % 3]; float x2 = (a*a + b*b - c*c) / (2*a); float y2 = sqrt(b*b - x2*x2); // translate by trans_x/trans_y in the original ref frame // to get the origin point float origin[2]; rotate(origin, g_src->p[0], g_src->rot, trans_x, trans_y); g->rot = g_src->rot + rot; g->a = a; g->x2 = x2; g->y2 = y2; //fprintf(stderr, "%p %d %f %f %f %f => %f %f %f\n", f, start_edge, g->rot*180/M_PI, a, b, c, x2, y2, rot); rotate(g->p[0], origin, g->rot, 0, 0); rotate(g->p[1], origin, g->rot, a, 0); rotate(g->p[2], origin, g->rot, x2, y2); } static void enqueue( poly_t * g, poly_t * const new_g, int at_head ) { if (at_head) { new_g->work_next = g->work_next; g->work_next = new_g; return; } // go to the end of the line while (g->work_next) g = g->work_next; g->work_next = new_g; } static poly_t * poly_root; static float poly_min[2], poly_max[2]; #endif static inline int v2_eq( const float p0[], const float p1[] ) { const float dx = p0[0] - p1[0]; const float dy = p0[1] - p1[1]; // are the points within epsilon of each other? if (-EPS < dx && dx < EPS && -EPS < dy && dy < EPS) return 1; // nope, not equal return 0; } static inline int v2_dist( const float p0[], const float p1[] ) { const float dx = p0[0] - p1[0]; const float dy = p0[1] - p1[1]; return sqrt(dx*dx + dy*dy); } // Returns 1 if the lines intersect, otherwise 0. In addition, if the lines // intersect the intersection point may be stored in the floats i_x and i_y. int get_line_intersection( float p0_x, float p0_y, float p1_x, float p1_y, float p2_x, float p2_y, float p3_x, float p3_y, float *i_x, float *i_y ) { float s1_x = p1_x - p0_x; float s1_y = p1_y - p0_y; float s2_x = p3_x - p2_x; float s2_y = p3_y - p2_y; float s = (-s1_y * (p0_x - p2_x) + s1_x * (p0_y - p2_y)) / (-s2_x * s1_y + s1_x * s2_y); float t = ( s2_x * (p0_y - p2_y) - s2_y * (p0_x - p2_x)) / (-s2_x * s1_y + s1_x * s2_y); if (s > EPS && s < 1-EPS && t > EPS && t < 1-EPS) { if(0) fprintf(stderr, "collision: %f,%f->%f,%f %f,%f->%f,%f == %f,%f\n", p0_x, p0_y, p1_x, p1_y, p2_x, p2_y, p3_x, p3_y, s, t ); // Collision detected if (i_x != NULL) *i_x = p0_x + (t * s1_x); if (i_y != NULL) *i_y = p0_y + (t * s1_y); return 1; } return 0; // No collision } int intersect( const v3_t * const p00, const v3_t * const p01, const v3_t * const p10, const v3_t * const p11, float *px, float *py ) { // special case; if this is the same line, it does not intersect if (v2_eq(p00->p, p10->p) && v2_eq(p01->p, p11->p)) return 0; if (v2_eq(p01->p, p10->p) && v2_eq(p00->p, p11->p)) return 0; return get_line_intersection( p00->p[0], p00->p[1], p01->p[0], p01->p[1], p10->p[0], p10->p[1], p11->p[0], p11->p[1], px, py ); } #if 0 /** Check to see if two triangles overlap */ int overlap_poly( const poly_t * const g1, const poly_t * const g2 ) { if (intersect(g1->p[0], g1->p[1], g2->p[0], g2->p[1])) return 1; if (intersect(g1->p[0], g1->p[1], g2->p[1], g2->p[2])) return 1; if (intersect(g1->p[0], g1->p[1], g2->p[2], g2->p[0])) return 1; if (intersect(g1->p[1], g1->p[2], g2->p[0], g2->p[1])) return 1; if (intersect(g1->p[1], g1->p[2], g2->p[1], g2->p[2])) return 1; if (intersect(g1->p[1], g1->p[2], g2->p[2], g2->p[0])) return 1; if (intersect(g1->p[2], g1->p[0], g2->p[0], g2->p[1])) return 1; if (intersect(g1->p[2], g1->p[0], g2->p[1], g2->p[2])) return 1; if (intersect(g1->p[2], g1->p[0], g2->p[2], g2->p[0])) return 1; return 0; } /** Check to see if any triangles overlap */ int overlap_check( const poly_t * g, const poly_t * const new_g ) { // special case -- if the root is the same as the one that we // are checking, then it does not overlap if (g == new_g) return 0; while (g) { if (overlap_poly(g, new_g)) return 1; g = g->work_next; } return 0; } /** recursively try to fix up the triangles. * * returns the maximum number of triangles added */ int poly_build( poly_t * const g ) { face_t * const f = g->face; const int start_edge = g->start_edge; f->used = 1; // update the group's bounding box for (int i = 0 ; i < 3 ; i++) { const float px = g->p[i][0]; const float py = g->p[i][1]; if (px < poly_min[0]) poly_min[0] = px; if (px > poly_max[0]) poly_max[0] = px; if (py < poly_min[1]) poly_min[1] = py; if (py > poly_max[1]) poly_max[1] = py; } if (debug) fprintf(stderr, "%p: adding to poly\n", f); for(int pass = 0 ; pass < 2 ; pass++) { // for each edge, find the triangle that matches for (int i = 0 ; i < 3 ; i++) { const int edge = (i + start_edge) % 3; face_t * const f2 = f->next[edge]; assert(f2 != NULL); if (f2->used) continue; if (pass == 0 && f->coplanar[edge] == 0) continue; // create a group that translates and rotates // such that it lines up with this edge float trans_x, trans_y, rotate; if (i == 0) { trans_x = g->a; trans_y = 0; rotate = M_PI; } else if (i == 1) { trans_x = g->x2; trans_y = g->y2; rotate = -atan2(g->y2, g->a - g->x2); } else if (i == 2) { trans_x = 0; trans_y = 0; rotate = atan2(g->y2, g->x2); } else { errx(EXIT_FAILURE, "edge %d invalid?\n", i); } // position this one translated and rotated poly_t * const g2 = calloc(1, sizeof(*g2)); g2->face = f2; g2->start_edge = f->next_edge[edge]; poly_position( g2, g, rotate, trans_x, trans_y ); if (overlap_check(poly_root, g2)) { free(g2); continue; } // no overlap, add it to the current group g->next[i] = g2; g2->next[0] = g; f2->used = 1; // if g2 is a coplanar triangle, process it now rather than // defering the work. if (f->coplanar[edge] == 0) enqueue(g, g2, 1); else enqueue(g, g2, 0); } } return 0; } void svg_text( float x, float y, float angle, const char * fmt, ... ) { printf("", x, y, angle ); printf(""); va_list ap; va_start(ap, fmt); vprintf(fmt, ap); va_end(ap); printf("\n"); } void poly_print( poly_t * const g ) { const face_t * const f = g->face; const int start_edge = g->start_edge; g->printed = 1; // draw this triangle; // if the edge is an outside, which means that the group // has no next element, draw a cut line. If there is an // adjacent neighbor and it is not coplanar, draw a score line printf("\n", f, g->start_edge, g->rot * 180/M_PI, f->sides[0], f->next[0], f->sides[1], f->next[1], f->sides[2], f->next[2] ); int cut_lines = 0; const uintptr_t a1 = (0x7FFFF & (uintptr_t) f) >> 3; for (int i = 0 ; i < 3 ; i++) { const int edge = (start_edge + i) % 3; poly_t * const next = g->next[i]; if (!next) { // draw a cut line const float * const p1 = g->p[i]; const float * const p2 = g->p[(i+1) % 3]; const float cx = (p2[0] + p1[0]) / 2; const float cy = (p2[1] + p1[1]) / 2; const float dx = (p2[0] - p1[0]); const float dy = (p2[1] - p1[1]); const float angle = atan2(dy, dx) * 180 / M_PI; svg_line("#FF0000", p1, p2, 0); cut_lines++; // use the lower address as the label if (draw_labels) { uintptr_t a2 = (0x7FFFF & (uintptr_t) f->next[edge]) >> 3; if (a2 > a1) a2 = a1; svg_text(cx, cy, angle, "%04x", a2); } continue; } if (next->printed) continue; if (f->coplanar[edge] < 0) { // draw a mountain score line since they are not coplanar svg_line("#00FF00", g->p[i], g->p[(i+1) % 3], 1); } else if (f->coplanar[edge] > 0) { // draw a valley score line since they are not coplanar svg_line("#00FF00", g->p[i], g->p[(i+1) % 3], 0); } else { // draw a shadow line since they are coplanar //svg_line("#F0F0F0", g->p[i], g->p[(i+1) % 3]); } } /* // only draw labels if requested and if there are any cut-edges // on this polygon. const float tx = (g->p[0][0] + g->p[1][0] + g->p[2][0]) / 3.0; const float ty = (g->p[0][1] + g->p[1][1] + g->p[2][1]) / 3.0; if (draw_labels && cut_lines > 0) svg_text(tx, ty, 0, "%04x", (0x7FFFF & (uintptr_t) f) >> 3); */ printf("\n"); for (int i = 0 ; i < 3 ; i++) { poly_t * const next = g->next[i]; if (!next || next->printed) continue; poly_print(next); } } /* Returns the 0 for coplanar, negative for mountain, positive for valley. * (approximates the angle between two triangles that share one edge). */ int coplanar_check( const stl_face_t * const f1, const stl_face_t * const f2 ) { // find the four distinct points v3_t x1 = f1->p[0]; v3_t x2 = f1->p[1]; v3_t x3 = f1->p[2]; v3_t x4; for (int i = 0 ; i < 3 ; i++) { x4 = f2->p[i]; if (v3_eq(&x1, &x4)) continue; if (v3_eq(&x2, &x4)) continue; if (v3_eq(&x3, &x4)) continue; break; } // (x3-x1) . ((x2-x1) X (x4-x3)) == 0 v3_t dx31 = v3_sub(x3, x1); v3_t dx21 = v3_sub(x2, x1); v3_t dx43 = v3_sub(x4, x3); v3_t cross = v3_cross(dx21, dx43); float dot = v3_dot(dx31, cross); int check = -EPS < dot && dot < +EPS; if (debug) fprintf( stderr, "%p %p %s: %f\n", f1, f2, check ? "yes" : "no", dot); return (int) dot; } /** Translate a list of STL triangles into a connected graph of faces. * * If there are any triangles that do not have three connected edges, * the first error will be reported and NULL will be returned. */ face_t * stl2faces( const stl_face_t * const stl_faces, const int num_triangles ) { face_t * const faces = calloc(num_triangles, sizeof(*faces)); // convert the stl triangles into faces for (int i = 0 ; i < num_triangles ; i++) { const stl_face_t * const stl = &stl_faces[i]; face_t * const f = &faces[i]; f->sides[0] = v3_len(&stl->p[0], &stl->p[1]); f->sides[1] = v3_len(&stl->p[1], &stl->p[2]); f->sides[2] = v3_len(&stl->p[2], &stl->p[0]); if (debug) fprintf(stderr, "%p %f %f %f\n", f, f->sides[0], f->sides[1], f->sides[2]); } // look to see if there is a matching point // in the faces that we've already built for (int i = 0 ; i < num_triangles ; i++) { const stl_face_t * const stl = &stl_faces[i]; face_t * const f = &faces[i]; for (int j = 0 ; j < num_triangles ; j++) { if (i == j) continue; const stl_face_t * const stl2 = &stl_faces[j]; face_t * const f2 = &faces[j]; for (int edge = 0 ; edge < 3 ; edge++) { if (f->next[edge]) continue; for (int edge2 = 0 ; edge2 < 3 ; edge2++) { if (f2->next[edge2]) continue; if (!edge_eq2(stl, stl2, edge, edge2)) continue; f->next[edge] = f2; f->next_edge[edge] = edge2; f2->next[edge2] = f; f2->next_edge[edge2] = edge; f->coplanar[edge] = f2->coplanar[edge2] = coplanar_check(stl, stl2); } } } // all three edges should be matched if (f->next[0] && f->next[1] && f->next[2]) continue; fprintf(stderr, "%d missing edges?\n", i); free(faces); return NULL; } return faces; } #endif /* s = 1/(2*Area)*(p0y*p2x - p0x*p2y + (p2y - p0y)*px + (p0x - p2x)*py); t = 1/(2*Area)*(p0x*p1y - p0y*p1x + (p0y - p1y)*px + (p1x - p0x)*py); where Area is the (signed) area of the triangle: Area = 0.5 *(-p1y*p2x + p0y*(-p1x + p2x) + p0x*(p1y - p2y) + p1x*p2y); Just evaluate s, t and 1-s-t. The point p is inside the triangle if and only if they are all positive. */ int tri_inside( const tri_t * const t, const v3_t * const p ) { const float p0x = t->p[0].p[0]; const float p0y = t->p[0].p[1]; const float p1x = t->p[1].p[0]; const float p1y = t->p[1].p[1]; const float p2x = t->p[2].p[0]; const float p2y = t->p[2].p[1]; const float px = p->p[0]; const float py = p->p[1]; const float u = p0y*p2x - p0x*p2y + (p2y - p0y)*px + (p0x - p2x)*py; const float v = p0x*p1y - p0y*p1x + (p0y - p1y)*px + (p1x - p0x)*py; if (u <= 0 || v <= 0) return 0; // maybe inside; check for sure if (u + v >= 2 * t->area) return 0; // inside! if(0) fprintf(stderr, "%p: %f,%f inside %f,%f %f,%f %f,%f\n", t, px, py, p0x, p0y, p1x, p1y, p2x, p2y ); return 1; } tri_t * tri_new( const v3_t * p ) { tri_t * const t = calloc(1, sizeof(*t)); if (!t) return NULL; for(int i = 0 ; i < 3 ; i++) t->p[i] = p[i]; // precompute the area const float p0x = t->p[0].p[0]; const float p0y = t->p[0].p[1]; const float p1x = t->p[1].p[0]; const float p1y = t->p[1].p[1]; const float p2x = t->p[2].p[0]; const float p2y = t->p[2].p[1]; t->area = 0.5 *(-p1y*p2x + p0y*(-p1x + p2x) + p0x*(p1y - p2y) + p1x*p2y); // precompute the normal t->normal = v3_cross( v3_sub(t->p[1], t->p[0]), v3_sub(t->p[2], t->p[1]) ); // compute the bounding box for the triangle for(int j = 0 ; j < 3 ; j++) { t->min[j] = min(min(t->p[0].p[j], t->p[1].p[j]), t->p[2].p[j]); t->max[j] = max(max(t->p[0].p[j], t->p[1].p[j]), t->p[2].p[j]); } return t; } // insert a triangle into our z-sorted list void tri_insert( tri_t ** zlist, tri_t * t ) { while(1) { tri_t * const iter = *zlist; if (!iter) break; // check to see if our new triangle is closer than // the current triangle if(iter->min[2] > t->min[2]) break; zlist = &(iter->next); } // either we reached the end of the list, // or we have found where our new triangle is sorted t->next = *zlist; *zlist = t; if (t->next) t->next->prev = &t->next; } void tri_delete(tri_t * t) { if (t->next) t->next->prev = t->prev; if (t->prev) *(t->prev) = t->next; t->next = NULL; t->prev = NULL; free(t); } int tri_occluded( const tri_t * zlist, const tri_t * t ) { for( const tri_t * t2 = zlist ; t2 ; t2 = t2->next ) { if (t2 == t) continue; // if any of the points of t are outside of t2, // then t2 does not totally occlude t if (!tri_inside(t2, &t->p[0])) continue; if (!tri_inside(t2, &t->p[1])) continue; if (!tri_inside(t2, &t->p[2])) continue; // if any point of t2 is behind t, then it does not occlude // (might intersect, but we don't handle that) if (t2->min[2] > t->min[2]) continue; // looks like we might be occluded return 1; } // probably not occluded return 0; } seg_t * seg_new( const v3_t p0, const v3_t p1 ) { seg_t * const s = calloc(1, sizeof(*s)); if (!s) return NULL; s->p[0] = p0; s->p[1] = p1; s->src[0] = p0; s->src[1] = p1; s->next = NULL; return s; } /* int tri_line_intersect( const tri_t * zlist, const tri_t * t ) { for( const tri_t * t2 = zlist ; t2 ; t2 = t2->next ) { if (t2 == t) continue; for(int j = 0 ; j < 3 ; j++) { const v3_t * const p0 = &t->p[j].p; const v3_t * const p1 = &t->p[(j+1) % 3].p; */ /* * Recursive algorithm: * Given a line segment and a list of triangles, * find if the line segment crosses any triangle. * If it crosses a triangle the segment will be shortened * and an additional one might be created. * Recusively try intersecting the new segment (starting at the same triangle) * and then continue trying the shortened segment. */ void tri_seg_intersect( const tri_t * zlist, seg_t * s, seg_t ** slist_visible ) { const float p0x = s->p[0].p[0]; const float p0y = s->p[0].p[1]; const float p0z = s->p[0].p[2]; const float p1x = s->p[1].p[0]; const float p1y = s->p[1].p[1]; const float p1z = s->p[1].p[2]; for( const tri_t * t = zlist ; t ; t = t->next ) { // if the segment is closer than the triangle, // then we no longer have to check any further into // the zlist (it is sorted by depth). if (p0z < t->min[2] && p1z < t->min[2]) break; #if 0 // do a quick test of does this segment even comes // close to this triangle if (p0x < t->min[0] && p1x < t->min[0] && p0y < t->min[1] && p1y < t->min[1]) continue; if (p0x > t->max[0] && p1x > t->max[0] && p0y > t->max[2] && p1y > t->max[2]) continue; if (p0x < t->min[0] && p1x < t->min[0] && p0y > t->max[2] && p1y > t->max[2]) continue; if (p0x > t->max[0] && p1x > t->max[0] && p0y < t->min[1] && p1y < t->min[1]) continue; // make sure this isn't the same actual line if (v3_eq(&s->src[0], &t->p[0]) || v3_eq(&s->src[1], &t->p[1])) continue; if (v3_eq(&s->src[0], &t->p[1]) || v3_eq(&s->src[1], &t->p[2])) continue; if (v3_eq(&s->src[0], &t->p[2]) || v3_eq(&s->src[1], &t->p[0])) continue; #endif int inside0 = tri_inside(t, &s->p[0]); int inside1 = tri_inside(t, &s->p[1]); // if both are inside we discard this segment if (inside0 && inside1) return; // split the segment for each intersection with the // triangle segments and add it to the work queue. int intersections = 0; v3_t ix[3] = {}; const float max_z = max(s->p[0].p[2], s->p[1].p[2]); for(int j = 0 ; j < 3 ; j++) { ix[j].p[2] = max_z; int rc = intersect( &s->p[0], &s->p[1], &t->p[j], &t->p[(j+1)%3], &ix[intersections].p[0], &ix[intersections].p[1] ); if (!rc) continue; intersections++; } // if none of them intersect, we keep looking if (intersections == 0) continue; fprintf(stderr, "split %d %d inter %d\n", inside0 , inside1, intersections); if (intersections == 3) { fprintf(stderr, "uh, three intersections?\n"); return; } if (intersections == 2) { if (inside0 || inside1) { fprintf(stderr, "uh, inside but two intersections?\n"); return; } // we have to create a new segment // and shorten the existing segment // find the two intersections that we have // update the src field fprintf(stderr, "two intersections\n"); const float d0 = v2_dist(s->p[0].p, ix[0].p); const float d1 = v2_dist(s->p[1].p, ix[0].p); seg_t * news; if (d0 < d1) { // split from p0 to ix0 news = seg_new(s->p[0], ix[0]); news->src[1] = s->p[1]; s->p[1] = ix[1]; } else { // split from p0 to ix1 news = seg_new(s->p[0], ix[1]); news->src[1] = s->p[1]; s->p[1] = ix[0]; } // recursively start splitting the new segment // starting at our current z-depth tri_seg_intersect(zlist, news, slist_visible); // continue splitting our current segment continue; } if (intersections == 1) { fprintf(stderr, "split %d %d\n", inside0, inside1); if (inside0) { // shorten it on the 0 side s->p[0] = ix[0]; } else if (inside1) { // shorten it on the 1 side s->p[1] = ix[0]; } else { fprintf(stderr, "uh, both outside but one intersection?\n"); return; } } if(0) fprintf(stderr, "check: %.0f,%.0f -> %.0f,%.0f %.0f,%.0f %.0f,%.0f %.0f,%.0f\n", s->p[0].p[0], s->p[0].p[1], s->p[1].p[0], s->p[1].p[1], t->p[0].p[0], t->p[0].p[1], t->p[1].p[0], t->p[1].p[1], t->p[2].p[0], t->p[2].p[1] ); //return; } // if we've reached here the segment is visible // and should be added to the visible list if(0) fprintf(stderr, "good: %.0f,%.0f,%.0f-> %.0f,%.0f,%.0f\n", s->p[0].p[0], s->p[0].p[1], s->p[0].p[2], s->p[1].p[0], s->p[1].p[1], s->p[1].p[2] ); s->next = *slist_visible; *slist_visible = s; } int main( int argc, char ** argv ) { const size_t max_len = 32 << 20; uint8_t * const buf = calloc(max_len, 1); float phi = argc > 1 ? atof(argv[1]) * M_PI/180 : 0; float theta = argc > 2 ? atof(argv[2]) * M_PI/180 : 0; float psi = argc > 3 ? atof(argv[3]) * M_PI/180 : 0; ssize_t rc = read(0, buf, max_len); if (rc == -1) return EXIT_FAILURE; const stl_header_t * const hdr = (const void*) buf; const stl_face_t * const stl_faces = (const void*)(hdr+1); const int num_triangles = hdr->num_triangles; if(debug) { fprintf(stderr, "header: '%s'\n", hdr->header); fprintf(stderr, "num: %d\n", num_triangles); } // looking at (0,0,0) v3_t eye = { { 0, 0, 400 } }; const camera_t * const cam = camera_new(eye, phi, theta, psi); printf("\n"); float off_x = 500; float off_y = 500; printf("\n", off_x, off_y); int rejected = 0; tri_t * zlist = NULL; seg_t * slist = NULL; seg_t * slist_visible = NULL; // transform the stl by the camera projection and generate // a z-sorted list of triangles for (int i = 0 ; i < num_triangles ; i++) { const stl_face_t * const stl = &stl_faces[i]; v3_t s[3]; for(int j = 0 ; j < 3 ; j++) camera_project(cam, &stl->p[j], &s[j]); tri_t * const tri = tri_new(s); // reject this face if any of the vertices are behind us if (tri->min[2] < 0) goto reject; // do a back-face cull to determine if this triangle // is not facing us. we have to determine the orientation // from the winding of the new projection if (tri->normal.p[2] <= 0) goto reject; // it passes the first tests, so insert the triangle // into the list and the three line segments tri_insert(&zlist, tri); for(int j = 0 ; j < 3 ; j++) { seg_t * s = seg_new(tri->p[j], tri->p[(j+1) % 3]); s->next = slist; slist = s; } continue; reject: tri_delete(tri); rejected++; } if (debug) fprintf(stderr, "Rejected %d triangles\n", rejected); // we now have a z-sorted list of triangles rejected = 0; // work on each segment, intersecting it with all of the triangles while(slist) { seg_t * s = slist; slist = s->next; tri_seg_intersect(zlist, s, &slist_visible); } // display all of the visible segments for(seg_t * s = slist_visible ; s ; s = s->next) { svg_line("#FF0000", s->p[0].p, s->p[1].p, 0); } if (debug) fprintf(stderr, "Occluded %d triangles\n", rejected); printf("\n"); printf("\n"); return 0; }