diff --git a/f32/f32.go b/f32/f32.go
index 54882cb1..1ec4652c 100644
--- a/f32/f32.go
+++ b/f32/f32.go
@@ -9,7 +9,11 @@ corner with the axes extending right and down.
 */
 package f32
 
-import "strconv"
+import (
+	"image"
+	"math"
+	"strconv"
+)
 
 // A Point is a two dimensional point.
 type Point struct {
@@ -167,3 +171,26 @@ func (r Rectangle) Sub(p Point) Rectangle {
 		Point{r.Max.X - p.X, r.Max.Y - p.Y},
 	}
 }
+
+// Round returns the smallest integer rectangle that
+// contains r.
+func (r Rectangle) Round() image.Rectangle {
+	return image.Rectangle{
+		Min: image.Point{
+			X: int(floor(r.Min.X)),
+			Y: int(floor(r.Min.Y)),
+		},
+		Max: image.Point{
+			X: int(ceil(r.Max.X)),
+			Y: int(ceil(r.Max.Y)),
+		},
+	}
+}
+
+func ceil(v float32) int {
+	return int(math.Ceil(float64(v)))
+}
+
+func floor(v float32) int {
+	return int(math.Floor(float64(v)))
+}
diff --git a/gpu/compute.go b/gpu/compute.go
index 625658c7..a4e6fbc2 100644
--- a/gpu/compute.go
+++ b/gpu/compute.go
@@ -942,7 +942,7 @@ func (g *compute) renderMaterials() error {
 			imgAtlas = op.imgAlloc.atlas
 			quad := g.materialQuad(imgAtlas.size, op.key.transform, op.img, op.imgAlloc.rect.Min)
 			boundsf := quadBounds(quad)
-			bounds := boundRectF(boundsf)
+			bounds := boundsf.Round()
 			bounds = bounds.Intersect(op.key.bounds)
 
 			size := bounds.Size()
@@ -1896,7 +1896,7 @@ func (c *collector) collect(root *op.Ops, viewport image.Point, texOps *[]textur
 			// except for their integer offsets can share a transformed image.
 			t := op.state.t.Offset(layout.FPt(op.offset))
 			t, off := separateTransform(t)
-			bounds := boundRectF(op.intersect).Sub(off)
+			bounds := op.intersect.Round().Sub(off)
 			*texOps = append(*texOps, textureOp{
 				img: op.state.image,
 				off: off,
@@ -1963,7 +1963,7 @@ func (g *compute) layer(viewport image.Point, texOps []textureOp) {
 				}
 			}
 			for i, op := range l.ops {
-				l.rect = l.rect.Union(boundRectF(op.intersect))
+				l.rect = l.rect.Union(op.intersect.Round())
 				l.ops[i].layer = len(c.frame.layers)
 			}
 			c.frame.layers = append(c.frame.layers, l)
diff --git a/gpu/gpu.go b/gpu/gpu.go
index 8c30a595..213850c5 100644
--- a/gpu/gpu.go
+++ b/gpu/gpu.go
@@ -758,28 +758,6 @@ func (r *renderer) packStencils(pops *[]*pathOp) {
 	*pops = ops
 }
 
-// boundRectF returns a bounding image.Rectangle for a f32.Rectangle.
-func boundRectF(r f32.Rectangle) image.Rectangle {
-	return image.Rectangle{
-		Min: image.Point{
-			X: int(floor(r.Min.X)),
-			Y: int(floor(r.Min.Y)),
-		},
-		Max: image.Point{
-			X: int(ceil(r.Max.X)),
-			Y: int(ceil(r.Max.Y)),
-		},
-	}
-}
-
-func ceil(v float32) int {
-	return int(math.Ceil(float64(v)))
-}
-
-func floor(v float32) int {
-	return int(math.Floor(float64(v)))
-}
-
 func (d *drawOps) reset(viewport image.Point) {
 	d.profile = false
 	d.viewport = viewport
@@ -983,7 +961,7 @@ loop:
 				d.addClipPath(&state, clipData, k, bnd, off, false)
 			}
 
-			bounds := boundRectF(cl)
+			bounds := cl.Round()
 			mat := state.materialFor(bnd, off, partialTrans, bounds)
 
 			rect := state.cpath == nil || state.cpath.rect
@@ -1045,7 +1023,7 @@ func (d *drawState) materialFor(rect f32.Rectangle, off f32.Point, partTrans f32
 		m.uvTrans = partTrans.Mul(gradientSpaceTransform(clip, off, d.stop1, d.stop2))
 	case materialTexture:
 		m.material = materialTexture
-		dr := boundRectF(rect.Add(off))
+		dr := rect.Add(off).Round()
 		sz := d.image.src.Bounds().Size()
 		sr := f32.Rectangle{
 			Max: f32.Point{
diff --git a/op/clip/clip.go b/op/clip/clip.go
index 3ac02fe8..89bb07cc 100644
--- a/op/clip/clip.go
+++ b/op/clip/clip.go
@@ -157,7 +157,7 @@ func (p *Path) End() PathSpec {
 	return PathSpec{
 		spec:        c,
 		hasSegments: p.hasSegments,
-		bounds:      boundRectF(p.bounds),
+		bounds:      p.bounds.Round(),
 		hash:        p.hash.Sum64(),
 	}
 }
@@ -238,28 +238,6 @@ func (p *Path) expand(pt f32.Point) {
 	}
 }
 
-// boundRectF returns a bounding image.Rectangle for a f32.Rectangle.
-func boundRectF(r f32.Rectangle) image.Rectangle {
-	return image.Rectangle{
-		Min: image.Point{
-			X: int(floor(r.Min.X)),
-			Y: int(floor(r.Min.Y)),
-		},
-		Max: image.Point{
-			X: int(ceil(r.Max.X)),
-			Y: int(ceil(r.Max.Y)),
-		},
-	}
-}
-
-func ceil(v float32) int {
-	return int(math.Ceil(float64(v)))
-}
-
-func floor(v float32) int {
-	return int(math.Floor(float64(v)))
-}
-
 // Quad records a quadratic Bézier from the pen to end
 // with the control point ctrl.
 func (p *Path) Quad(ctrl, to f32.Point) {