diff --git a/unix/draw.c b/unix/draw.c
index 3e28fb37..a8f26d7f 100644
--- a/unix/draw.c
+++ b/unix/draw.c
@@ -59,7 +59,7 @@ void uiDrawStroke(uiDrawContext *c, uiDrawPath *path, uiDrawBrush *b, uiDrawStro
 {
 	cairo_pattern_t *pat;
 
-	runPath(path, c->cr);
+	uiprivRunPath(path, c->cr);
 	pat = mkbrush(b);
 	cairo_set_source(c->cr, pat);
 	switch (p->Cap) {
@@ -95,10 +95,10 @@ void uiDrawFill(uiDrawContext *c, uiDrawPath *path, uiDrawBrush *b)
 {
 	cairo_pattern_t *pat;
 
-	runPath(path, c->cr);
+	uiprivRunPath(path, c->cr);
 	pat = mkbrush(b);
 	cairo_set_source(c->cr, pat);
-	switch (pathFillMode(path)) {
+	switch (uiprivPathFillMode(path)) {
 	case uiDrawFillModeWinding:
 		cairo_set_fill_rule(c->cr, CAIRO_FILL_RULE_WINDING);
 		break;
@@ -114,14 +114,14 @@ void uiDrawTransform(uiDrawContext *c, uiDrawMatrix *m)
 {
 	cairo_matrix_t cm;
 
-	m2c(m, &cm);
+	uiprivM2C(m, &cm);
 	cairo_transform(c->cr, &cm);
 }
 
 void uiDrawClip(uiDrawContext *c, uiDrawPath *path)
 {
-	runPath(path, c->cr);
-	switch (pathFillMode(path)) {
+	uiprivRunPath(path, c->cr);
+	switch (uiprivPathFillMode(path)) {
 	case uiDrawFillModeWinding:
 		cairo_set_fill_rule(c->cr, CAIRO_FILL_RULE_WINDING);
 		break;
diff --git a/unix/draw.h b/unix/draw.h
index 9eec2846..d46d074f 100644
--- a/unix/draw.h
+++ b/unix/draw.h
@@ -7,8 +7,8 @@ struct uiDrawContext {
 };
 
 // drawpath.c
-extern void runPath(uiDrawPath *p, cairo_t *cr);
-extern uiDrawFillMode pathFillMode(uiDrawPath *path);
+extern void uiprivRunPath(uiDrawPath *p, cairo_t *cr);
+extern uiDrawFillMode uiprivPathFillMode(uiDrawPath *path);
 
 // drawmatrix.c
-extern void m2c(uiDrawMatrix *m, cairo_matrix_t *c);
+extern void uiprivM2C(uiDrawMatrix *m, cairo_matrix_t *c);
diff --git a/unix/drawmatrix.c b/unix/drawmatrix.c
index 7d15d920..ffb4db34 100644
--- a/unix/drawmatrix.c
+++ b/unix/drawmatrix.c
@@ -2,7 +2,7 @@
 #include "uipriv_unix.h"
 #include "draw.h"
 
-void m2c(uiDrawMatrix *m, cairo_matrix_t *c)
+static void m2c(uiDrawMatrix *m, cairo_matrix_t *c)
 {
 	c->xx = m->M11;
 	c->yx = m->M12;
@@ -12,6 +12,12 @@ void m2c(uiDrawMatrix *m, cairo_matrix_t *c)
 	c->y0 = m->M32;
 }
 
+// needed by uiDrawTransform()
+void uiprivM2C(uiDrawMatrix *m, cairo_matrix_t *c)
+{
+	m2c(m, c);
+}
+
 static void c2m(cairo_matrix_t *c, uiDrawMatrix *m)
 {
 	m->M11 = c->xx;
diff --git a/unix/drawpath.c b/unix/drawpath.c
index 28eeb981..045660f5 100644
--- a/unix/drawpath.c
+++ b/unix/drawpath.c
@@ -138,7 +138,7 @@ void uiDrawPathEnd(uiDrawPath *p)
 	p->ended = TRUE;
 }
 
-void runPath(uiDrawPath *p, cairo_t *cr)
+void uiprivRunPath(uiDrawPath *p, cairo_t *cr)
 {
 	guint i;
 	struct piece *piece;
@@ -193,7 +193,7 @@ void runPath(uiDrawPath *p, cairo_t *cr)
 	}
 }
 
-uiDrawFillMode pathFillMode(uiDrawPath *path)
+uiDrawFillMode uiprivPathFillMode(uiDrawPath *path)
 {
 	return path->fillMode;
 }