implement a parser for a model(6). get rid of the libobj dependency.

20 files changed, 987 insertions, 363 deletions

diff --git a/alloc.c b/alloc.c
index 4154c83..3de73a9 100644
--- a/alloc.c
+++ b/alloc.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/camera.c b/camera.c
index 439c596..f89640f 100644
--- a/camera.c
+++ b/camera.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/clip.c b/clip.c
index 7548b36..14fdc7f 100644
--- a/clip.c
+++ b/clip.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
@@ -52,12 +51,6 @@ fprintpoly(int fd, Polygon *p)
 		fprint(fd, "%d/%lud p %V\n", i, p->n, p->v[i].p);
 }
 
-static int
-eqpt3(Point3 a, Point3 b)
-{
-	return vec3len(subpt3(a, b)) < 1e-6;
-}
-
 /*
  * references:
  * 	- “Clipping Using Homogeneous Coordinates”, James F. Blinn, Martin E. Newell, SIGGRAPH '78, pp. 245-251
diff --git a/color.c b/color.c
index 6a6023d..16a3f9a 100644
--- a/color.c
+++ b/color.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/fb.c b/fb.c
index 457af7e..64d2915 100644
--- a/fb.c
+++ b/fb.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/graphics.h b/graphics.h
index 2fd516e..e64354c 100644
--- a/graphics.h
+++ b/graphics.h
@@ -403,9 +403,9 @@ Point3 world2model(Entity*, Point3);
 void perspective(Matrix3, double, double, double, double);
 void orthographic(Matrix3, double, double, double, double, double, double);
 
-/* obj */
-int loadobjmodel(Model*, OBJ*);
-Model *readobjmodel(char*);
+/* marshal */
+Model *readmodel(int);
+usize writemodel(int, Model*);
 
 /* scene */
 Model *newmodel(void);
@@ -441,9 +441,11 @@ Point maxpt(Point, Point);
 Point2 modulapt2(Point2, Point2);
 Point2 minpt2(Point2, Point2);
 Point2 maxpt2(Point2, Point2);
+int eqpt2(Point2, Point2);
 Point3 modulapt3(Point3, Point3);
 Point3 minpt3(Point3, Point3);
 Point3 maxpt3(Point3, Point3);
+int eqpt3(Point3, Point3);
 Memimage *rgba(ulong);
 Memimage *dupmemimage(Memimage*);
 
diff --git a/internal.h b/internal.h
index 4fc197a..cbea04a 100644
--- a/internal.h
+++ b/internal.h
@@ -1,3 +1,8 @@
+enum {
+	ε1 = 1e-5,
+	ε2 = 1e-6,
+};
+
 typedef struct Polygon Polygon;
 typedef struct Entityparam Entityparam;
 typedef struct Tilerparam Tilerparam;
diff --git a/marshal.c b/marshal.c
new file mode 100644
index 0000000..15e4760
--- /dev/null
+++ b/marshal.c
@@ -0,0 +1,939 @@
+#include <u.h>
+#include <libc.h>
+#include <bio.h>
+#include <thread.h>
+#include <draw.h>
+#include <memdraw.h>
+#include <geometry.h>
+#include "graphics.h"
+#include "internal.h"
+
+enum {
+	NaI = ~0ULL,	/* not an index */
+	MTLHTSIZ = 17,
+};
+
+typedef struct Curline Curline;
+struct Curline
+{
+	char file[256];
+	usize line;
+};
+
+typedef struct IArray IArray;
+typedef struct Wirevert Wirevert;
+typedef struct Wireprim Wireprim;
+typedef struct Mtlentry Mtlentry;
+typedef struct Mtltab Mtltab;
+
+struct IArray
+{
+	void *items;
+	usize nitems;
+	usize itemsize;
+};
+
+struct Wirevert
+{
+	usize p, n, t, c;
+};
+
+struct Wireprim
+{
+	int nv;
+	usize v[3];
+	usize T;
+	char *mtlname;
+};
+
+struct Mtlentry
+{
+	Material;
+	ulong idx;
+	Mtlentry *next;
+};
+
+struct Mtltab
+{
+	Mtlentry *mtls[MTLHTSIZ];
+	ulong nmtls;
+	int loaded;			/* was the table loaded into a model already? */
+};
+
+static void
+error(Curline *l, char *fmt, ...)
+{
+	va_list va;
+	char buf[ERRMAX], *bp;
+
+	bp = seprint(buf, buf + sizeof buf, "%s:%llud ", l->file, l->line);
+
+	va_start(va, fmt);
+	vseprint(bp, buf + sizeof buf, fmt, va);
+	va_end(va);
+
+	werrstr("%s", buf);
+}
+
+static IArray *
+mkitemarray(usize is)
+{
+	IArray *a;
+
+	a = emalloc(sizeof *a);
+	memset(a, 0, sizeof *a);
+	a->itemsize = is;
+	return a;
+}
+
+static usize
+itemarrayadd(IArray *a, void *i, int dedup)
+{
+	char *p;
+	usize idx;
+
+	if(dedup){
+		p = a->items;
+		for(idx = 0; idx < a->nitems; idx++)
+			if(memcmp(i, &p[idx*a->itemsize], a->itemsize) == 0)
+				return idx;
+	}
+
+	idx = a->nitems;
+	a->items = erealloc(a->items, ++a->nitems * a->itemsize);
+	p = a->items;
+	p += idx*a->itemsize;
+	memmove(p, i, a->itemsize);
+	return idx;
+}
+
+static void *
+itemarrayget(IArray *a, usize idx)
+{
+	char *p;
+
+	if(idx >= a->nitems)
+		return nil;
+
+	p = a->items;
+	p += idx*a->itemsize;
+	return p;
+}
+
+static void
+rmitemarray(IArray *a)
+{
+	free(a->items);
+	free(a);
+}
+
+static uint
+hash(char *s)
+{
+	uint h;
+
+	h = 0x811c9dc5;
+	while(*s != 0)
+		h = (h^(uchar)*s++) * 0x1000193;
+	return h % MTLHTSIZ;
+}
+
+static Mtltab *
+mkmtltab(void)
+{
+	Mtltab *t;
+
+	t = emalloc(sizeof *t);
+	memset(t, 0, sizeof *t);
+	return t;
+}
+
+static void
+freemtlentry(Mtlentry *m)
+{
+	freetexture(m->normalmap);
+	freetexture(m->specularmap);
+	freetexture(m->diffusemap);
+	free(m->name);
+	free(m);
+}
+
+static Mtlentry *
+mtltabadd(Mtltab *t, Material *m)
+{
+	Mtlentry *nm, *mp, *prev;
+	uint h;
+
+	nm = emalloc(sizeof *nm);
+	memset(nm, 0, sizeof *nm);
+	nm->Material = *m;
+	nm->next = nil;
+
+	prev = nil;
+	h = hash(nm->name);
+	for(mp = t->mtls[h]; mp != nil; prev = mp, mp = mp->next)
+		if(strcmp(mp->name, nm->name) == 0){
+			werrstr("material already exists");
+			return nil;
+		}
+	if(prev == nil){
+		t->mtls[h] = nm;
+		t->nmtls++;
+		return nm;
+	}
+	prev->next = nm;
+	t->nmtls++;
+	return nm;
+}
+
+static Mtlentry *
+mtltabget(Mtltab *t, char *name)
+{
+	Mtlentry *m;
+	uint h;
+
+	h = hash(name);
+	for(m = t->mtls[h]; m != nil; m = m->next)
+		if(strcmp(m->name, name) == 0)
+			break;
+	return m;
+}
+
+static void
+mtltabloadmodel(Model *m, Mtltab *t)
+{
+	Mtlentry *e;
+	int i;
+
+	for(i = 0; i < nelem(t->mtls); i++)
+		for(e = t->mtls[i]; e != nil; e = e->next)
+			e->idx = m->addmaterial(m, *e);
+	t->loaded++;
+}
+
+static void
+rmmtltab(Mtltab *t)
+{
+	Mtlentry *m, *nm;
+	int i;
+
+	for(i = 0; i < nelem(t->mtls); i++)
+		for(m = t->mtls[i]; m != nil; m = nm){
+			nm = m->next;
+			if(t->loaded)
+				free(m);
+			else
+				freemtlentry(m);
+		}
+}
+
+/*
+ * TODO if materials are inserted between primitive declarations
+ * references to those materials from early primitives can cause
+ * out-of-bounds accesses. find a solution.
+ *
+ * example:
+ *
+ *	mtl A {
+ *		diffuse: 1 0 0
+ *	}
+ *	prim ... A
+ *	mtl B {
+ *		diffuse: 1 0 0
+ *	}
+ *	prim ... B
+ *
+ * now the reference to A is probably wrong because of realloc.
+ */
+Model *
+readmodel(int fd)
+{
+	Curline curline;
+	IArray *pa, *na, *ta, *ca, *Ta, *va, *prima;
+	Mtltab *mtltab;
+	Mtlentry *me;
+	Point3 p, n, T;
+	Point2 t;
+	Color c;
+	Vertex v;
+	Primitive prim;
+	Material mtl;
+	Model *m;
+	Memimage *mi;
+	Biobuf *bin;
+	void *vp;
+	char *line, *f[10], *s, assets[200], buf[256];
+	usize idx, i;
+	ulong primidx;
+	int nf, nv, inamaterial, texfd;
+
+	n.w = T.w = 0;
+	t.w = 1;
+	m = nil;
+
+	bin = Bfdopen(fd, OREAD);
+	if(bin == nil)
+		sysfatal("Bfdopen: %r");
+
+	pa = mkitemarray(sizeof(p));
+	na = mkitemarray(sizeof(n));
+	ta = mkitemarray(sizeof(t));
+	ca = mkitemarray(sizeof(c));
+	Ta = mkitemarray(sizeof(T));
+	va = mkitemarray(sizeof(v));
+	prima = mkitemarray(sizeof(prim));
+	mtltab = mkmtltab();
+
+	memset(&curline, 0, sizeof curline);
+	if(fd2path(fd, curline.file, sizeof curline.file) != 0)
+		sysfatal("fd2path: %r");
+	if((s = strrchr(curline.file, '/')) != nil){
+		*s = 0;
+		snprint(assets, sizeof assets, "%s", curline.file);
+		memmove(curline.file, s+1, strlen(s));
+	}else{
+		assets[0] = '.';
+		assets[1] = 0;
+	}
+	inamaterial = 0;
+
+	while((line = Brdline(bin, '\n')) != nil){
+		line[Blinelen(bin)-1] = 0;
+		curline.line++;
+
+		nf = tokenize(line, f, nelem(f));
+		if(nf < 1)
+			continue;
+
+		if(inamaterial){
+			if((s = strchr(f[0], ':')) != nil)
+				*s = 0;
+
+			if(strcmp(f[0], "}") == 0){
+				if(mtltabadd(mtltab, &mtl) == nil){
+					error(&curline, "mtltabadd: %r");
+					goto getout;
+				}
+				inamaterial--;
+			}else if(strcmp(f[0], "ambient") == 0){
+				if(nf != 4 && nf != 5){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+				mtl.ambient.r = strtod(f[1], nil);
+				mtl.ambient.g = strtod(f[2], nil);
+				mtl.ambient.b = strtod(f[3], nil);
+				mtl.ambient.a = nf == 5? strtod(f[4], nil): 1;
+			}else if(strcmp(f[0], "diffuse") == 0){
+				if(nf != 4 && nf != 5){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+
+				mtl.diffuse.r = strtod(f[1], nil);
+				mtl.diffuse.g = strtod(f[2], nil);
+				mtl.diffuse.b = strtod(f[3], nil);
+				mtl.diffuse.a = nf == 5? strtod(f[4], nil): 1;
+			}else if(strcmp(f[0], "diffusemap") == 0){
+				if(nf != 2){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+				if(mtl.diffusemap != nil){
+					error(&curline, "there is already a diffuse map");
+					goto getout;
+				}
+
+				snprint(buf, sizeof buf, "%s/%s", assets, f[1]);
+				texfd = open(buf, OREAD);
+				if(texfd < 0){
+notexture:
+					error(&curline, "could not read texture '%s'", f[1]);
+					goto getout;
+				}
+				mi = readmemimage(texfd);
+				if(mi == nil){
+					close(texfd);
+					goto notexture;
+				}
+				mtl.diffusemap = alloctexture(sRGBTexture, mi);
+				close(texfd);
+			}else if(strcmp(f[0], "specular") == 0){
+				if(nf != 4 && nf != 5){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+
+				mtl.specular.r = strtod(f[1], nil);
+				mtl.specular.g = strtod(f[2], nil);
+				mtl.specular.b = strtod(f[3], nil);
+				mtl.specular.a = nf == 5? strtod(f[4], nil): 1;
+			}else if(strcmp(f[0], "specularmap") == 0){
+				if(nf != 2){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+				if(mtl.specularmap != nil){
+					error(&curline, "there is already a specular map");
+					goto getout;
+				}
+
+				snprint(buf, sizeof buf, "%s/%s", assets, f[1]);
+				texfd = open(buf, OREAD);
+				if(texfd < 0)
+					goto notexture;
+				mi = readmemimage(texfd);
+				if(mi == nil){
+					close(texfd);
+					goto notexture;
+				}
+				mtl.specularmap = alloctexture(RAWTexture, mi);
+				close(texfd);
+			}else if(strcmp(f[0], "shininess") == 0){
+				if(nf != 2){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+				mtl.shininess = strtod(f[1], nil);
+			}else if(strcmp(f[0], "normals") == 0){
+				if(nf != 2){
+					error(&curline, "syntax error");
+					goto getout;
+				}
+				if(mtl.normalmap != nil){
+					error(&curline, "there is already a normal map");
+					goto getout;
+				}
+
+				snprint(buf, sizeof buf, "%s/%s", assets, f[1]);
+				texfd = open(buf, OREAD);
+				if(texfd < 0)
+					goto notexture;
+				mi = readmemimage(texfd);
+				if(mi == nil){
+					close(texfd);
+					goto notexture;
+				}
+				mtl.normalmap = alloctexture(RAWTexture, mi);
+				close(texfd);
+			}else{
+				error(&curline, "unknown mtl parameter '%s'", f[0]);
+				goto getout;
+			}
+
+			continue;
+		}
+
+		if(strcmp(f[0], "p") == 0){
+			if(nf != 4 && nf != 5){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			p.x = strtod(f[1], nil);
+			p.y = strtod(f[2], nil);
+			p.z = strtod(f[3], nil);
+			p.w = nf == 5? strtod(f[4], nil): 1;
+			itemarrayadd(pa, &p, 0);
+		}else if(strcmp(f[0], "n") == 0){
+			if(nf != 4){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			n.x = strtod(f[1], nil);
+			n.y = strtod(f[2], nil);
+			n.z = strtod(f[3], nil);
+			itemarrayadd(na, &n, 0);
+		}else if(strcmp(f[0], "t") == 0){
+			if(nf != 3){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			t.x = strtod(f[1], nil);
+			t.y = strtod(f[2], nil);
+			itemarrayadd(ta, &t, 0);
+		}else if(strcmp(f[0], "c") == 0){
+			if(nf != 4 && nf != 5){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			c.r = strtod(f[1], nil);
+			c.g = strtod(f[2], nil);
+			c.b = strtod(f[3], nil);
+			c.a = nf == 5? strtod(f[4], nil): 1;
+			itemarrayadd(ca, &c, 0);
+		}else if(strcmp(f[0], "T") == 0){
+			if(nf != 4){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			T.x = strtod(f[1], nil);
+			T.y = strtod(f[2], nil);
+			T.z = strtod(f[3], nil);
+			itemarrayadd(Ta, &T, 0);
+		}else if(strcmp(f[0], "v") == 0){
+			if(nf != 5){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			memset(&v, 0, sizeof v);
+
+			if(strcmp(f[1], "-") == 0){
+				error(&curline, "vertex has no position");
+				goto getout;
+			}
+			idx = strtoul(f[1], nil, 10);
+			vp = itemarrayget(pa, idx);
+			if(vp == nil){
+				error(&curline, "no position at idx %llud", idx);
+				goto getout;
+			}
+			v.p = *(Point3*)vp;
+
+			if(strcmp(f[2], "-") != 0){
+				idx = strtoul(f[2], nil, 10);
+				vp = itemarrayget(na, idx);
+				if(vp == nil){
+					error(&curline, "no normal at idx %llud", idx);
+					goto getout;
+				}
+				v.n = *(Point3*)vp;
+			}
+
+			if(strcmp(f[3], "-") != 0){
+				idx = strtoul(f[3], nil, 10);
+				vp = itemarrayget(ta, idx);
+				if(vp == nil){
+					error(&curline, "no texture at idx %llud", idx);
+					goto getout;
+				}
+				v.uv = *(Point2*)vp;
+			}
+
+			if(strcmp(f[4], "-") != 0){
+				idx = strtoul(f[4], nil, 10);
+				vp = itemarrayget(ca, idx);
+				if(vp == nil){
+					error(&curline, "no color at idx %llud", idx);
+					goto getout;
+				}
+				v.c = *(Color*)vp;
+			}
+
+			itemarrayadd(va, &v, 0);
+		}else if(strcmp(f[0], "prim") == 0){
+			if(nf < 3 || nf > 7){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			memset(&prim, 0, sizeof prim);
+
+			nv = strtoul(f[1], nil, 10);
+			switch(nv-1){
+			case PPoint:
+				prim.type = PPoint;
+
+				idx = strtoul(f[2], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil){
+novertex:
+					error(&curline, "no vertex at idx %llud", idx);
+					goto getout;
+				}
+				prim.v[0] = *(Vertex*)vp;
+
+				/* ignore 4th field (nf == 4) */
+
+				if(nf == 5){
+					prim.mtl = mtltabget(mtltab, f[4]);
+					if(prim.mtl == nil){
+						error(&curline, "material '%s' not found", f[4]);
+						goto getout;
+					}
+				}
+				break;
+			case PLine:
+				prim.type = PLine;
+
+				idx = strtoul(f[2], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil)
+					goto novertex;
+				prim.v[0] = *(Vertex*)vp;
+
+				if(nf < 4){
+notenough:
+					error(&curline, "not enough prim vertices");
+					goto getout;
+				}
+				idx = strtoul(f[3], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil)
+					goto novertex;
+				prim.v[1] = *(Vertex*)vp;
+
+				/* ignore 5th field (nf == 5) */
+
+				if(nf == 6){
+					prim.mtl = mtltabget(mtltab, f[5]);
+					if(prim.mtl == nil){
+						error(&curline, "material '%s' not found", f[5]);
+						goto getout;
+					}
+				}
+				break;
+			case PTriangle:
+				prim.type = PTriangle;
+
+				idx = strtoul(f[2], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil)
+					goto novertex;
+				prim.v[0] = *(Vertex*)vp;
+
+				if(nf < 4)
+					goto notenough;
+				idx = strtoul(f[3], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil)
+					goto novertex;
+				prim.v[1] = *(Vertex*)vp;
+
+				if(nf < 5)
+					goto notenough;
+				idx = strtoul(f[4], nil, 10);
+				vp = itemarrayget(va, idx);
+				if(vp == nil)
+					goto novertex;
+				prim.v[2] = *(Vertex*)vp;
+
+				if(nf < 6){
+					error(&curline, "missing triangle tangent field");
+					goto getout;
+				}
+				if(strcmp(f[5], "-") != 0){
+					idx = strtoul(f[5], nil, 10);
+					vp = itemarrayget(Ta, idx);
+					if(vp == nil){
+						error(&curline, "no tangent at idx %llud", idx);
+						goto getout;
+					}
+					prim.tangent = *(Point3*)vp;
+				}
+
+				if(nf == 7){
+					prim.mtl = mtltabget(mtltab, f[6]);
+					if(prim.mtl == nil){
+						error(&curline, "material '%s' not found", f[6]);
+						goto getout;
+					}
+				}
+				break;
+			default:
+				error(&curline, "alien primitive detected");
+				goto getout;
+			}
+
+			itemarrayadd(prima, &prim, 0);
+		}else if(strcmp(f[0], "mtl") == 0){
+			if(nf != 3 || strcmp(f[2], "{") != 0){
+				error(&curline, "syntax error");
+				goto getout;
+			}
+			memset(&mtl, 0, sizeof mtl);
+
+			mtl.name = strdup(f[1]);
+			if(mtl.name == nil)
+				sysfatal("strdup: %r");
+			inamaterial++;
+		}else{
+			error(&curline, "syntax error");
+			goto getout;
+		}
+	}
+
+	if(prima->nitems < 1){
+		werrstr("no primitives no model");
+		goto getout;
+	}
+
+	m = newmodel();
+	mtltabloadmodel(m, mtltab);
+	for(i = 0; i < prima->nitems; i++){
+		primidx = m->addprim(m, *(Primitive*)itemarrayget(prima, i));
+		if(m->prims[primidx].mtl != nil){
+			me = mtltabget(mtltab, m->prims[primidx].mtl->name);
+			m->prims[primidx].mtl = &m->materials[me->idx];
+		}
+	}
+
+getout:
+	rmitemarray(pa);
+	rmitemarray(na);
+	rmitemarray(ta);
+	rmitemarray(ca);
+	rmitemarray(Ta);
+	rmitemarray(va);
+	rmitemarray(prima);
+	rmmtltab(mtltab);
+	Bterm(bin);
+	return m;
+}
+
+static int
+Bprintp3(Biobuf *b, Point3 *p)
+{
+	int n;
+
+	n = Bprint(b, "%g %g %g", p->x, p->y, p->z);
+	if(p->w != 1)
+		n += Bprint(b, " %g", p->w);
+	n += Bprint(b, "\n");
+	return n;
+}
+
+static int
+Bprintp2(Biobuf *b, Point2 *p)
+{
+	int n;
+
+	n = Bprint(b, "%g %g", p->x, p->y);
+	if(p->w != 1)
+		n += Bprint(b, " %g", p->w);
+	n += Bprint(b, "\n");
+	return n;
+}
+
+static int
+Bprintn3(Biobuf *b, Point3 *p)
+{
+	return Bprint(b, "%g %g %g\n", p->x, p->y, p->z);
+}
+
+static int
+Bprintp(Biobuf *b, Point3 *p)
+{
+	int n;
+
+	n = Bprint(b, "p ");
+	n += Bprintp3(b, p);
+	return n;
+}
+
+static int
+Bprintn(Biobuf *b, Point3 *p)
+{
+	int n;
+
+	n = Bprint(b, "n ");
+	n += Bprintn3(b, p);
+	return n;
+}
+
+static int
+Bprintt(Biobuf *b, Point2 *p)
+{
+	int n;
+
+	n = Bprint(b, "t ");
+	n += Bprintp2(b, p);
+	return n;
+}
+
+static int
+Bprintc(Biobuf *b, Point3 *p)
+{
+	int n;
+
+	n = Bprint(b, "c ");
+	n += Bprintp3(b, p);
+	return n;
+}
+
+static int
+BprintT(Biobuf *b, Point3 *p)
+{
+	int n;
+
+	n = Bprint(b, "T ");
+	n += Bprintn3(b, p);
+	return n;
+}
+
+static int
+Bprintidx(Biobuf *b, usize idx)
+{
+	if(idx == NaI)
+		return Bprint(b, " -");
+	return Bprint(b, " %llud", idx);
+}
+
+static int
+Bprintv(Biobuf *b, Wirevert *v)
+{
+	int n;
+
+	n = Bprint(b, "v %llud", v->p);
+	n += Bprintidx(b, v->n);
+	n += Bprintidx(b, v->t);
+	n += Bprintidx(b, v->c);
+	n += Bprint(b, "\n");
+	return n;
+}
+
+static int
+Bprintprim(Biobuf *b, Wireprim *p)
+{
+	char *s;
+	int n, i;
+
+	n = Bprint(b, "prim %d", p->nv);
+	for(i = 0; i < p->nv; i++)
+		n += Bprintidx(b, p->v[i]);
+	n += Bprintidx(b, p->T);
+	if(p->mtlname != nil){
+		s = quotestrdup(p->mtlname);
+		if(s == nil)
+			sysfatal("quotestrdup: %r");
+		n += Bprint(b, " %s", s);
+		free(s);
+	}
+	n += Bprint(b, "\n");
+	return n;
+}
+
+/* TODO how do we deal with textures? embedded? keep a path? */
+static int
+Bprintmtl(Biobuf *b, Material *m)
+{
+	char *s;
+	int n;
+
+	s = quotestrdup(m->name);
+	if(s == nil)
+		sysfatal("quotestrdup: %r");
+	n = Bprint(b, "mtl %s {\n", s);
+	free(s);
+
+	if(m->ambient.a > 0){
+		n += Bprint(b, "\tambient: ");
+		n += Bprint(b, "%g %g %g", m->ambient.r, m->ambient.g, m->ambient.b);
+		if(m->ambient.a != 1)
+			n += Bprint(b, " %g", m->ambient.a);
+		n += Bprint(b, "\n");
+	}
+
+	if(m->diffuse.a > 0 || m->diffusemap != nil){
+		n += Bprint(b, "\tdiffuse: ");
+		n += Bprint(b, "%g %g %g", m->diffuse.r, m->diffuse.g, m->diffuse.b);
+		if(m->diffuse.a != 1)
+			n += Bprint(b, " %g", m->diffuse.a);
+		n += Bprint(b, "\n");
+	}
+
+	if(m->specular.a > 0 || m->specularmap != nil){
+		n += Bprint(b, "\tspecular: ");
+		n += Bprint(b, "%g %g %g", m->specular.r, m->specular.g, m->specular.b);
+		if(m->specular.a != 1)
+			n += Bprint(b, " %g", m->specular.a);
+		n += Bprint(b, "\n");
+	}
+
+	if(m->shininess > 0){
+		n += Bprint(b, "\tshininess: ");
+		n += Bprint(b, "%g\n", m->shininess);
+	}
+
+//	if(m->diffusemap != nil){
+//		n += Bprint("\tdiffusemap: ");
+//		n += Bprint(b, "%s\n", m
+//	}
+
+//	if(m->specularmap != nil){
+//		n += Bprint(b, "\tspecularmap: ");
+//		n += Bprint(b, "%s\n", m
+//	}
+
+//	if(m->normalmap != nil)
+//		n += Bprint(b, "\tnormals: ");
+
+	n += Bprint(b, "}\n");
+	return n;
+}
+
+usize
+writemodel(int fd, Model *m)
+{
+	IArray *pa, *na, *ta, *ca, *Ta, *va, *prima;
+	Wirevert v;
+	Wireprim prim;
+	Primitive *p, *ep;
+	Biobuf *out;
+	usize n;
+	int i;
+
+	out = Bfdopen(fd, OWRITE);
+	if(out == nil)
+		sysfatal("Bfdopen: %r");
+
+	pa = mkitemarray(sizeof(Point3));
+	na = mkitemarray(sizeof(Point3));
+	ta = mkitemarray(sizeof(Point2));
+	ca = mkitemarray(sizeof(Color));
+	Ta = mkitemarray(sizeof(Point3));
+	va = mkitemarray(sizeof(Wirevert));
+	prima = mkitemarray(sizeof(Wireprim));
+
+	n = 0;
+	p = m->prims;
+	ep = p + m->nprims;
+
+	while(p < ep){
+		memset(&prim, 0, sizeof prim);
+
+		prim.nv = p->type+1;
+		for(i = 0; i < prim.nv; i++){
+			v.p = itemarrayadd(pa, &p->v[i].p, 1);
+			v.n = eqpt3(p->v[i].n, Vec3(0,0,0))?
+				NaI: itemarrayadd(na, &p->v[i].n, 1);
+			v.t = p->v[i].uv.w != 1?
+				NaI: itemarrayadd(ta, &p->v[i].uv, 1);
+			v.c = p->v[i].c.a == 0?
+				NaI: itemarrayadd(ca, &p->v[i].c, 1);
+			prim.v[i] = itemarrayadd(va, &v, 1);
+		}
+		prim.T = eqpt3(p->tangent, Vec3(0,0,0))?
+			NaI: itemarrayadd(Ta, &p->tangent, 1);
+		prim.mtlname = p->mtl != nil? p->mtl->name: nil;
+
+		itemarrayadd(prima, &prim, 1);
+		p++;
+	}
+
+	for(i = 0; i < m->nmaterials; i++)
+		n += Bprintmtl(out, &m->materials[i]);
+
+	for(i = 0; i < pa->nitems; i++)
+		n += Bprintp(out, itemarrayget(pa, i));
+	for(i = 0; i < na->nitems; i++)
+		n += Bprintn(out, itemarrayget(na, i));
+	for(i = 0; i < ta->nitems; i++)
+		n += Bprintt(out, itemarrayget(ta, i));
+	for(i = 0; i < ca->nitems; i++)
+		n += Bprintc(out, itemarrayget(ca, i));
+	for(i = 0; i < Ta->nitems; i++)
+		n += BprintT(out, itemarrayget(Ta, i));
+	for(i = 0; i < va->nitems; i++)
+		n += Bprintv(out, itemarrayget(va, i));
+	for(i = 0; i < prima->nitems; i++)
+		n += Bprintprim(out, itemarrayget(prima, i));
+
+	rmitemarray(pa);
+	rmitemarray(na);
+	rmitemarray(ta);
+	rmitemarray(ca);
+	rmitemarray(Ta);
+	rmitemarray(va);
+	rmitemarray(prima);
+	Bterm(out);
+	return n;
+}
diff --git a/mkfile b/mkfile
index 558ca9c..0dc0ebb 100644
--- a/mkfile
+++ b/mkfile
@@ -7,7 +7,6 @@ OFILES=\
 	render.$O\
 	clip.$O\
 	xform.$O\
-	obj.$O\
 	scene.$O\
 	vertex.$O\
 	texture.$O\
@@ -17,11 +16,11 @@ OFILES=\
 	color.$O\
 	util.$O\
 	nanosec.$O\
+	marshal.$O\
 
 HFILES=\
 	graphics.h\
 	internal.h\
-	libobj/obj.h
 
 UPDATE=\
 	mkfile\
@@ -29,16 +28,3 @@ UPDATE=\
 	${OFILES:%.$O=%.c}\
 
 </sys/src/cmd/mklib
-
-libobj/libobj.a$O:
-	cd libobj
-	mk install
-
-pulldeps:VQ:
-	git/clone git://antares-labs.eu/libobj || \
-	git/clone git://shithub.us/rodri/libobj || \
-	git/clone https://github.com/sametsisartenep/libobj
-
-clean nuke:V:
-	rm -f *.[$OS] $LIB
-	@{cd libobj; mk $target}
diff --git a/model.6.txt b/model.6.txt
new file mode 100644
index 0000000..f91527d
--- /dev/null
+++ b/model.6.txt
@@ -0,0 +1,18 @@
+p x y z [w]
+n x y z
+t u v
+c r g b [a]
+v pᵢ [nᵢ|-] [tᵢ|-] [cᵢ|-]
+
+T x y z
+prim nverts vᵢ... [Tᵢ|-] [mtlname]
+
+mtl name {
+	ambient: r g b [a]
+	diffuse: r g b [a]
+	specular: r g b [a]
+	shininess: n
+	diffusemap: path
+	specularmap: path
+	normals: path
+}
diff --git a/obj.c b/obj.c
deleted file mode 100644
index 8c7b13f..0000000
--- a/obj.c
+++ /dev/null
@@ -1,317 +0,0 @@
-#include <u.h>
-#include <libc.h>
-#include <thread.h>
-#include <draw.h>
-#include <memdraw.h>
-#include <geometry.h>
-#include "libobj/obj.h"
-#include "graphics.h"
-#include "internal.h"
-
-/*
- * fan triangulation.
- *
- * TODO check that the polygon is in fact convex
- * try to adapt if not (by finding a convex
- * vertex), or discard it.
- */
-static int
-triangulate(OBJElem **newe, OBJElem *e)
-{
-	OBJIndexArray *newidxtab;
-	OBJIndexArray *idxtab;
-	int i;
-
-	idxtab = &e->indextab[OBJVGeometric];
-	for(i = 0; i < idxtab->nindex-2; i++){
-		idxtab = &e->indextab[OBJVGeometric];
-		newe[i] = emalloc(sizeof **newe);
-		memset(newe[i], 0, sizeof **newe);
-		newe[i]->type = OBJEFace;
-		newe[i]->mtl = e->mtl;
-		newidxtab = &newe[i]->indextab[OBJVGeometric];
-		newidxtab->nindex = 3;
-		newidxtab->indices = emalloc(newidxtab->nindex*sizeof(*newidxtab->indices));
-		newidxtab->indices[0] = idxtab->indices[0];
-		newidxtab->indices[1] = idxtab->indices[i+1];
-		newidxtab->indices[2] = idxtab->indices[i+2];
-		idxtab = &e->indextab[OBJVTexture];
-		if(idxtab->nindex > 0){
-			newidxtab = &newe[i]->indextab[OBJVTexture];
-			newidxtab->nindex = 3;
-			newidxtab->indices = emalloc(newidxtab->nindex*sizeof(*newidxtab->indices));
-			newidxtab->indices[0] = idxtab->indices[0];
-			newidxtab->indices[1] = idxtab->indices[i+1];
-			newidxtab->indices[2] = idxtab->indices[i+2];
-		}
-		idxtab = &e->indextab[OBJVNormal];
-		if(idxtab->nindex > 0){
-			newidxtab = &newe[i]->indextab[OBJVNormal];
-			newidxtab->nindex = 3;
-			newidxtab->indices = emalloc(newidxtab->nindex*sizeof(*newidxtab->indices));
-			newidxtab->indices[0] = idxtab->indices[0];
-			newidxtab->indices[1] = idxtab->indices[i+1];
-			newidxtab->indices[2] = idxtab->indices[i+2];
-		}
-	}
-
-	return i;
-}
-
-typedef struct OBJ2MtlEntry OBJ2MtlEntry;
-typedef struct OBJ2MtlMap OBJ2MtlMap;
-
-struct OBJ2MtlEntry
-{
-	OBJMaterial *objmtl;
-	ulong idx;
-	OBJ2MtlEntry *next;
-};
-
-struct OBJ2MtlMap
-{
-	OBJ2MtlEntry *head;
-	Material *mtls;
-};
-
-static void
-addmtlmap(OBJ2MtlMap *map, OBJMaterial *om, ulong idx)
-{
-	OBJ2MtlEntry *e;
-
-	if(om == nil)
-		return;
-
-	e = emalloc(sizeof *e);
-	memset(e, 0, sizeof *e);
-	e->objmtl = om;
-	e->idx = idx;
-
-	if(map->head == nil){
-		map->head = e;
-		return;
-	}
-
-	e->next = map->head;
-	map->head = e;
-}
-
-static Material *
-getmtlmap(OBJ2MtlMap *map, OBJMaterial *om)
-{
-	OBJ2MtlEntry *e;
-
-	for(e = map->head; e != nil; e = e->next)
-		if(e->objmtl == om)
-			return &map->mtls[e->idx];
-	return nil;
-}
-
-static void
-clrmtlmap(OBJ2MtlMap *map)
-{
-	OBJ2MtlEntry *e, *ne;
-
-	for(e = map->head; e != nil; e = ne){
-		ne = e->next;
-		free(e);
-	}
-}
-
-int
-loadobjmodel(Model *m, OBJ *obj)
-{
-	Primitive *p;
-	OBJVertex *pverts, *tverts, *nverts, *v;	/* geometric, texture and normals vertices */
-	OBJElem **trielems, *e, *ne;
-	OBJObject *o;
-	OBJIndexArray *idxtab;
-	OBJ2MtlMap mtlmap;
-	OBJMaterial *objmtl;
-	Material *mtl;
-	Point3 n;					/* surface normal */
-	int i, idx, nt, maxnt, neednormal, gottaclean;
-
-	if(obj == nil)
-		return 0;
-
-	pverts = obj->vertdata[OBJVGeometric].verts;
-	tverts = obj->vertdata[OBJVTexture].verts;
-	nverts = obj->vertdata[OBJVNormal].verts;
-	trielems = nil;
-	maxnt = 0;
-
-	if(m->prims != nil){
-		free(m->prims);
-		m->prims = nil;
-	}
-	m->nprims = 0;
-
-	mtlmap.head = nil;
-	for(i = 0; obj->materials != nil && i < nelem(obj->materials->mattab); i++)
-		for(objmtl = obj->materials->mattab[i]; objmtl != nil; objmtl = objmtl->next){
-			mtlmap.mtls = m->materials = erealloc(m->materials, ++m->nmaterials*sizeof(*m->materials));
-			mtl = &m->materials[m->nmaterials-1];
-			memset(mtl, 0, sizeof *mtl);
-
-			if(objmtl->name != nil){
-				mtl->name = strdup(objmtl->name);
-				if(mtl->name == nil)
-					sysfatal("strdup: %r");
-			}
-			mtl->ambient = Pt3(objmtl->Ka.r, objmtl->Ka.g, objmtl->Ka.b, 1);
-			mtl->diffuse = Pt3(objmtl->Kd.r, objmtl->Kd.g, objmtl->Kd.b, 1);
-			mtl->specular = Pt3(objmtl->Ks.r, objmtl->Ks.g, objmtl->Ks.b, 1);
-			mtl->shininess = objmtl->Ns;
-
-			if(objmtl->map_Kd != nil){
-				mtl->diffusemap = alloctexture(sRGBTexture, nil);
-				mtl->diffusemap->image = dupmemimage(objmtl->map_Kd);
-			}
-
-			if(objmtl->norm != nil){
-				mtl->normalmap = alloctexture(RAWTexture, nil);
-				mtl->normalmap->image = dupmemimage(objmtl->norm);
-			}
-
-			addmtlmap(&mtlmap, objmtl, m->nmaterials-1);
-		}
-
-	for(i = 0; i < nelem(obj->objtab); i++)
-		for(o = obj->objtab[i]; o != nil; o = o->next)
-			for(e = o->child; e != nil; e = ne){
-				ne = e->next;
-
-				switch(e->type){
-				case OBJEPoint:
-					m->prims = erealloc(m->prims, ++m->nprims*sizeof(*m->prims));
-					p = &m->prims[m->nprims-1];
-					memset(p, 0, sizeof *p);
-					p->type = PPoint;
-					p->mtl = getmtlmap(&mtlmap, e->mtl);
-
-					idxtab = &e->indextab[OBJVGeometric];
-					v = &pverts[idxtab->indices[0]];
-					p->v[0].p = Pt3(v->x, v->y, v->z, v->w);
-
-					idxtab = &e->indextab[OBJVTexture];
-					if(idxtab->nindex == 1){
-						v = &tverts[idxtab->indices[0]];
-						p->v[0].uv = Pt2(v->u, v->v, 1);
-					}
-					break;
-				case OBJELine:
-					m->prims = erealloc(m->prims, ++m->nprims*sizeof(*m->prims));
-					p = &m->prims[m->nprims-1];
-					memset(p, 0, sizeof *p);
-					p->type = PLine;
-					p->mtl = getmtlmap(&mtlmap, e->mtl);
-
-					for(idx = 0; idx < 2; idx++){
-						idxtab = &e->indextab[OBJVGeometric];
-						v = &pverts[idxtab->indices[idx]];
-						p->v[idx].p = Pt3(v->x, v->y, v->z, v->w);
-
-						idxtab = &e->indextab[OBJVTexture];
-						if(idxtab->nindex == 2){
-							v = &tverts[idxtab->indices[idx]];
-							p->v[idx].uv = Pt2(v->u, v->v, 1);
-						}
-					}
-					break;
-				case OBJEFace:
-					idxtab = &e->indextab[OBJVGeometric];
-					assert(idxtab->nindex >= 3);
-					gottaclean = 0;
-
-					/* it takes n-2 triangles to fill any given n-gon */
-					nt = idxtab->nindex-2;
-					if(nt > maxnt){
-						maxnt = nt;
-						trielems = erealloc(trielems, maxnt*sizeof(*trielems));
-					}
-					if(nt > 1){
-						assert(triangulate(trielems, e) == nt);
-						gottaclean = 1;
-					}else
-						trielems[0] = e;
-
-					while(nt-- > 0){
-						e = trielems[nt];
-						neednormal = 0;
-
-						m->prims = erealloc(m->prims, ++m->nprims*sizeof(*m->prims));
-						p = &m->prims[m->nprims-1];
-						memset(p, 0, sizeof *p);
-						p->type = PTriangle;
-						p->mtl = getmtlmap(&mtlmap, e->mtl);
-
-						for(idx = 0; idx < 3; idx++){
-							idxtab = &e->indextab[OBJVGeometric];
-							v = &pverts[idxtab->indices[idx]];
-							p->v[idx].p = Pt3(v->x, v->y, v->z, v->w);
-
-							idxtab = &e->indextab[OBJVNormal];
-							if(idxtab->nindex == 3){
-								v = &nverts[idxtab->indices[idx]];
-								p->v[idx].n = normvec3(Vec3(v->i, v->j, v->k));
-							}else
-								neednormal = 1;
-
-							idxtab = &e->indextab[OBJVTexture];
-							if(idxtab->nindex == 3){
-								v = &tverts[idxtab->indices[idx]];
-								p->v[idx].uv = Pt2(v->u, v->v, 1);
-							}
-						}
-						if(p->v[0].uv.w != 0){
-							Point3 e0, e1;
-							Point2 Δuv0, Δuv1;
-							double det;
-
-							e0 = subpt3(p->v[1].p, p->v[0].p);
-							e1 = subpt3(p->v[2].p, p->v[0].p);
-							Δuv0 = subpt2(p->v[1].uv, p->v[0].uv);
-							Δuv1 = subpt2(p->v[2].uv, p->v[0].uv);
-
-							det = Δuv0.x * Δuv1.y - Δuv1.x * Δuv0.y;
-							det = det == 0? 0: 1.0/det;
-							p->tangent.x = det*(Δuv1.y * e0.x - Δuv0.y * e1.x);
-							p->tangent.y = det*(Δuv1.y * e0.y - Δuv0.y * e1.y);
-							p->tangent.z = det*(Δuv1.y * e0.z - Δuv0.y * e1.z);
-							p->tangent = normvec3(p->tangent);
-						}
-						if(neednormal){
-							n = normvec3(crossvec3(subpt3(p->v[1].p, p->v[0].p), subpt3(p->v[2].p, p->v[0].p)));
-							p->v[0].n = p->v[1].n = p->v[2].n = n;
-						}
-						if(gottaclean){
-							free(e->indextab[OBJVGeometric].indices);
-							free(e->indextab[OBJVNormal].indices);
-							free(e->indextab[OBJVTexture].indices);
-							free(e);
-						}
-					}
-					break;
-				default: continue;
-				}
-			}
-
-	free(trielems);
-	clrmtlmap(&mtlmap);
-	return m->nprims;
-}
-
-Model *
-readobjmodel(char *path)
-{
-	Model *m;
-	OBJ *obj;
-
-	m = newmodel();
-	if((obj = objparse(path)) == nil)
-		sysfatal("objparse: %r");
-	loadobjmodel(m, obj);
-	objfree(obj);
-	return m;
-}
diff --git a/readme b/readme
index c7f2db8..908e1fd 100644
--- a/readme
+++ b/readme
@@ -1,9 +1,7 @@
 libgraphics
 
-Libgraphics provides 3D computer graphics through memdraw(2).
+Libgraphics provides 3D computer graphics through draw(2) and
+memdraw(2).
 
 Still in early stages of research, subject to change, drastically, at
 any given time.
-
-It now relies on libobj to manipulate the geometry, so you need to run
-`mk pulldeps` before you build it.
diff --git a/render.c b/render.c
index 5a4f5b6..cc5a201 100644
--- a/render.c
+++ b/render.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
@@ -155,7 +154,7 @@ _barycoords(Triangle2 t, Point2 p)
 	Point3 v = crossvec3(Vec3(p0p2.x, p0p1.x, pp0.x), Vec3(p0p2.y, p0p1.y, pp0.y));
 
 	/* handle degenerate triangles—i.e. the ones where every point lies on the same line */
-	if(fabs(v.z) < 1e-5)
+	if(fabs(v.z) < ε1)
 		return Pt3(-1,-1,-1,1);
 	return Pt3(1 - (v.x + v.y)/v.z, v.y/v.z, v.x/v.z, 1);
 }
@@ -262,7 +261,7 @@ rasterize(Rastertask *task)
 
 			/* interpolate z⁻¹ and get actual z */
 			pcz = flerp(prim->v[0].p.w, prim->v[1].p.w, perc);
-			pcz = 1.0/(pcz < 1e-5? 1e-5: pcz);
+			pcz = 1.0/(pcz < ε1? ε1: pcz);
 
 			/* perspective-correct attribute interpolation  */
 			perc *= prim->v[0].p.w * pcz;
@@ -314,7 +313,7 @@ discard:
 
 			/* interpolate z⁻¹ and get actual z */
 			pcz = fberp(prim->v[0].p.w, prim->v[1].p.w, prim->v[2].p.w, bc);
-			pcz = 1.0/(pcz < 1e-5? 1e-5: pcz);
+			pcz = 1.0/(pcz < ε1? ε1: pcz);
 
 			/* perspective-correct attribute interpolation  */
 			bc = modulapt3(bc, Vec3(prim->v[0].p.w*pcz,
diff --git a/scene.c b/scene.c
index 8971c30..1621be2 100644
--- a/scene.c
+++ b/scene.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
@@ -13,7 +12,7 @@ model_addprim(Model *m, Primitive p)
 {
 	m->prims = erealloc(m->prims, ++m->nprims*sizeof(*m->prims));
 	m->prims[m->nprims-1] = p;
-	return 0;
+	return m->nprims-1;
 }
 
 static int
@@ -21,7 +20,7 @@ model_addmaterial(Model *m, Material mtl)
 {
 	m->materials = erealloc(m->materials, ++m->nmaterials*sizeof(*m->materials));
 	m->materials[m->nmaterials-1] = mtl;
-	return 0;
+	return m->nmaterials-1;
 }
 
 Model *
diff --git a/shadeop.c b/shadeop.c
index c31309e..5d669ef 100644
--- a/shadeop.c
+++ b/shadeop.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/texture.c b/texture.c
index df5089a..260c12e 100644
--- a/texture.c
+++ b/texture.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/util.c b/util.c
index 3ff7323..ff76ab9 100644
--- a/util.c
+++ b/util.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
@@ -52,6 +51,12 @@ maxpt2(Point2 a, Point2 b)
 	};
 }
 
+int
+eqpt2(Point2 a, Point2 b)
+{
+	return vec2len(subpt2(a, b)) < ε2;
+}
+
 Point3
 modulapt3(Point3 a, Point3 b)
 {
@@ -80,6 +85,12 @@ maxpt3(Point3 a, Point3 b)
 	};
 }
 
+int
+eqpt3(Point3 a, Point3 b)
+{
+	return vec3len(subpt3(a, b)) < ε2;
+}
+
 void
 memsetf(void *dp, float v, usize len)
 {
diff --git a/vertex.c b/vertex.c
index 98f2ec5..715a4c2 100644
--- a/vertex.c
+++ b/vertex.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/viewport.c b/viewport.c
index 02987e2..c12e14f 100644
--- a/viewport.c
+++ b/viewport.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"
 
diff --git a/xform.c b/xform.c
index 0efbbe3..60bc77b 100644
--- a/xform.c
+++ b/xform.c
@@ -4,7 +4,6 @@
 #include <draw.h>
 #include <memdraw.h>
 #include <geometry.h>
-#include "libobj/obj.h"
 #include "graphics.h"
 #include "internal.h"