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golang-image/vector/vector_test.go
Nigel Tao f72412cfe3 vector: fix overflow when rasterizing a 30 degree line. 
There are some obvious TODOs, but they will be follow-up commits.

This is about correctness, not performance, but for the record:

name                              old time/op  new time/op   delta
GlyphAlpha16Over-8                3.16µs ± 0%   3.38µs ± 0%   +6.96%         (p=0.000 n=9+10)
GlyphAlpha16Src-8                 3.06µs ± 0%   3.28µs ± 0%   +7.21%        (p=0.000 n=10+10)
GlyphAlpha32Over-8                4.92µs ± 1%   5.23µs ± 1%   +6.24%        (p=0.000 n=10+10)
GlyphAlpha32Src-8                 4.53µs ± 1%   4.83µs ± 0%   +6.69%        (p=0.000 n=10+10)
GlyphAlpha64Over-8                9.60µs ± 1%  10.21µs ± 0%   +6.36%        (p=0.000 n=10+10)
GlyphAlpha64Src-8                 8.04µs ± 0%   8.68µs ± 1%   +7.99%         (p=0.000 n=9+10)
GlyphAlpha128Over-8               23.1µs ± 0%   24.2µs ± 1%   +5.08%         (p=0.000 n=9+10)
GlyphAlpha128Src-8                16.8µs ± 0%   18.0µs ± 1%   +6.76%        (p=0.000 n=10+10)
GlyphAlpha256Over-8               68.6µs ± 1%   70.3µs ± 0%   +2.50%        (p=0.000 n=10+10)
GlyphAlpha256Src-8                43.6µs ± 0%   45.4µs ± 0%   +4.08%         (p=0.000 n=10+8)
GlyphRGBA16Over-8                 4.92µs ± 0%   5.14µs ± 0%   +4.48%          (p=0.000 n=9+9)
GlyphRGBA16Src-8                  4.39µs ± 0%   4.59µs ± 0%   +4.60%          (p=0.000 n=8+9)
GlyphRGBA32Over-8                 11.8µs ± 0%   12.2µs ± 1%   +2.89%         (p=0.000 n=9+10)
GlyphRGBA32Src-8                  9.79µs ± 1%  10.03µs ± 0%   +2.49%         (p=0.000 n=10+7)
GlyphRGBA64Over-8                 36.7µs ± 1%   37.5µs ± 1%   +2.23%        (p=0.000 n=10+10)
GlyphRGBA64Src-8                  28.5µs ± 0%   29.1µs ± 0%   +2.09%        (p=0.000 n=10+10)
GlyphRGBA128Over-8                 133µs ± 0%    135µs ± 0%   +1.51%         (p=0.000 n=10+9)
GlyphRGBA128Src-8                 99.1µs ± 0%  100.5µs ± 1%   +1.47%         (p=0.000 n=9+10)
GlyphRGBA256Over-8                 505µs ± 0%    511µs ± 0%   +1.18%         (p=0.000 n=9+10)
GlyphRGBA256Src-8                  372µs ± 0%    374µs ± 0%   +0.69%         (p=0.000 n=9+10)

Change-Id: Ice1d77de5bc2649f8cd88366bcae3c00e78d65c2
Reviewed-on: https://go-review.googlesource.com/31113
Reviewed-by: David Crawshaw <crawshaw@golang.org>
2016-10-14 22:25:13 +00:00

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// Copyright 2016 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package vector
// TODO: add tests for NaN and Inf coordinates.
import (
"fmt"
"image"
"image/color"
"image/draw"
"image/png"
"math"
"math/rand"
"os"
"path/filepath"
"testing"
"golang.org/x/image/math/f32"
)
// encodePNG is useful for manually debugging the tests.
func encodePNG(dstFilename string, src image.Image) error {
f, err := os.Create(dstFilename)
if err != nil {
return err
}
encErr := png.Encode(f, src)
closeErr := f.Close()
if encErr != nil {
return encErr
}
return closeErr
}
func pointOnCircle(center, radius, index, number int) f32.Vec2 {
c := float64(center)
r := float64(radius)
i := float64(index)
n := float64(number)
return f32.Vec2{
float32(c + r*(math.Cos(2*math.Pi*i/n))),
float32(c + r*(math.Sin(2*math.Pi*i/n))),
}
}
func TestRasterizeOutOfBounds(t *testing.T) {
// Set this to a non-empty string such as "/tmp" to manually inspect the
// rasterization.
//
// If empty, this test simply checks that calling LineTo with points out of
// the rasterizer's bounds doesn't panic.
const tmpDir = ""
const center, radius, n = 16, 20, 16
var z Rasterizer
for i := 0; i < n; i++ {
for j := 1; j < n/2; j++ {
z.Reset(2*center, 2*center)
z.MoveTo(f32.Vec2{1 * center, 1 * center})
z.LineTo(pointOnCircle(center, radius, i+0, n))
z.LineTo(pointOnCircle(center, radius, i+j, n))
z.ClosePath()
z.MoveTo(f32.Vec2{0 * center, 0 * center})
z.LineTo(f32.Vec2{0 * center, 2 * center})
z.LineTo(f32.Vec2{2 * center, 2 * center})
z.LineTo(f32.Vec2{2 * center, 0 * center})
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if tmpDir == "" {
continue
}
filename := filepath.Join(tmpDir, fmt.Sprintf("out-%02d-%02d.png", i, j))
if err := encodePNG(filename, dst); err != nil {
t.Error(err)
}
t.Logf("wrote %s", filename)
}
}
}
func TestRasterizePolygon(t *testing.T) {
var z Rasterizer
for radius := 4; radius <= 1024; radius *= 2 {
for n := 3; n <= 19; n += 4 {
z.Reset(2*radius, 2*radius)
z.MoveTo(f32.Vec2{
float32(2 * radius),
float32(1 * radius),
})
for i := 1; i < n; i++ {
z.LineTo(pointOnCircle(radius, radius, i, n))
}
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if err := checkCornersCenter(dst); err != nil {
t.Errorf("radius=%d, n=%d: %v", radius, n, err)
}
}
}
}
func TestRasterizeAlmostAxisAligned(t *testing.T) {
z := NewRasterizer(8, 8)
z.MoveTo(f32.Vec2{2, 2})
z.LineTo(f32.Vec2{6, math.Nextafter32(2, 0)})
z.LineTo(f32.Vec2{6, 6})
z.LineTo(f32.Vec2{math.Nextafter32(2, 0), 6})
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if err := checkCornersCenter(dst); err != nil {
t.Error(err)
}
}
func TestRasterizeWideAlmostHorizontalLines(t *testing.T) {
var z Rasterizer
for i := uint(3); i < 16; i++ {
x := float32(int(1 << i))
z.Reset(8, 8)
z.MoveTo(f32.Vec2{-x, 3})
z.LineTo(f32.Vec2{+x, 4})
z.LineTo(f32.Vec2{+x, 6})
z.LineTo(f32.Vec2{-x, 6})
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if err := checkCornersCenter(dst); err != nil {
t.Errorf("i=%d: %v", i, err)
}
}
}
func TestRasterize30Degrees(t *testing.T) {
z := NewRasterizer(8, 8)
z.MoveTo(f32.Vec2{4, 4})
z.LineTo(f32.Vec2{8, 4})
z.LineTo(f32.Vec2{4, 6})
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if err := checkCornersCenter(dst); err != nil {
t.Error(err)
}
}
func TestRasterizeRandomLineTos(t *testing.T) {
var z Rasterizer
for i := 5; i < 50; i++ {
n, rng := 0, rand.New(rand.NewSource(int64(i)))
z.Reset(i+2, i+2)
z.MoveTo(f32.Vec2{float32(i / 2), float32(i / 2)})
for ; rng.Intn(16) != 0; n++ {
x := 1 + rng.Intn(i)
y := 1 + rng.Intn(i)
z.LineTo(f32.Vec2{float32(x), float32(y)})
}
z.ClosePath()
dst := image.NewAlpha(z.Bounds())
z.Draw(dst, dst.Bounds(), image.Opaque, image.Point{})
if err := checkCorners(dst); err != nil {
t.Errorf("i=%d (%d nodes): %v", i, n, err)
}
}
}
// checkCornersCenter checks that the corners of the image are all 0x00 and the
// center is 0xff.
func checkCornersCenter(m *image.Alpha) error {
if err := checkCorners(m); err != nil {
return err
}
size := m.Bounds().Size()
center := m.Pix[(size.Y/2)*m.Stride+(size.X/2)]
if center != 0xff {
return fmt.Errorf("center: got %#02x, want 0xff", center)
}
return nil
}
// checkCorners checks that the corners of the image are all 0x00.
func checkCorners(m *image.Alpha) error {
size := m.Bounds().Size()
corners := [4]uint8{
m.Pix[(0*size.Y+0)*m.Stride+(0*size.X+0)],
m.Pix[(0*size.Y+0)*m.Stride+(1*size.X-1)],
m.Pix[(1*size.Y-1)*m.Stride+(0*size.X+0)],
m.Pix[(1*size.Y-1)*m.Stride+(1*size.X-1)],
}
if corners != [4]uint8{} {
return fmt.Errorf("corners were not all zero: %v", corners)
}
return nil
}
var basicMask = []byte{
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe3, 0xaa, 0x3e, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa, 0x5f, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc, 0x24, 0x00, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa1, 0x00, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc, 0x14, 0x00, 0x00,
0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x4a, 0x00, 0x00,
0x00, 0x00, 0xcc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x81, 0x00, 0x00,
0x00, 0x00, 0x66, 0xff, 0xff, 0xff, 0xff, 0xff, 0xef, 0xe4, 0xff, 0xff, 0xff, 0xb6, 0x00, 0x00,
0x00, 0x00, 0x0c, 0xf2, 0xff, 0xff, 0xfe, 0x9e, 0x15, 0x00, 0x15, 0x96, 0xff, 0xce, 0x00, 0x00,
0x00, 0x00, 0x00, 0x88, 0xfc, 0xe3, 0x43, 0x00, 0x00, 0x00, 0x00, 0x06, 0xcd, 0xdc, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x10, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x25, 0xde, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x56, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
}
func testBasicPath(t *testing.T, prefix string, dst draw.Image, src image.Image, op draw.Op, want []byte) {
z := NewRasterizer(16, 16)
z.MoveTo(f32.Vec2{2, 2})
z.LineTo(f32.Vec2{8, 2})
z.QuadTo(f32.Vec2{14, 2}, f32.Vec2{14, 14})
z.CubeTo(f32.Vec2{8, 2}, f32.Vec2{5, 20}, f32.Vec2{2, 8})
z.ClosePath()
z.DrawOp = op
z.Draw(dst, z.Bounds(), src, image.Point{})
var got []byte
switch dst := dst.(type) {
case *image.Alpha:
got = dst.Pix
case *image.RGBA:
got = dst.Pix
default:
t.Errorf("%s: unrecognized dst image type %T", prefix, dst)
}
if len(got) != len(want) {
t.Errorf("%s: len(got)=%d and len(want)=%d differ", prefix, len(got), len(want))
return
}
for i := range got {
delta := int(got[i]) - int(want[i])
// The +/- 2 allows different implementations to give different
// rounding errors.
if delta < -2 || +2 < delta {
t.Errorf("%s: i=%d: got %#02x, want %#02x", prefix, i, got[i], want[i])
return
}
}
}
func TestBasicPathDstAlpha(t *testing.T) {
for _, background := range []uint8{0x00, 0x80} {
for _, op := range []draw.Op{draw.Over, draw.Src} {
for _, xPadding := range []int{0, 7} {
bounds := image.Rect(0, 0, 16+xPadding, 16)
dst := image.NewAlpha(bounds)
for i := range dst.Pix {
dst.Pix[i] = background
}
want := make([]byte, len(dst.Pix))
copy(want, dst.Pix)
if op == draw.Over && background == 0x80 {
for y := 0; y < 16; y++ {
for x := 0; x < 16; x++ {
ma := basicMask[16*y+x]
i := dst.PixOffset(x, y)
want[i] = 0xff - (0xff-ma)/2
}
}
} else {
for y := 0; y < 16; y++ {
for x := 0; x < 16; x++ {
ma := basicMask[16*y+x]
i := dst.PixOffset(x, y)
want[i] = ma
}
}
}
prefix := fmt.Sprintf("background=%#02x, op=%v, xPadding=%d", background, op, xPadding)
testBasicPath(t, prefix, dst, image.Opaque, op, want)
}
}
}
}
func TestBasicPathDstRGBA(t *testing.T) {
blue := image.NewUniform(color.RGBA{0x00, 0x00, 0xff, 0xff})
for _, op := range []draw.Op{draw.Over, draw.Src} {
for _, xPadding := range []int{0, 7} {
bounds := image.Rect(0, 0, 16+xPadding, 16)
dst := image.NewRGBA(bounds)
for y := bounds.Min.Y; y < bounds.Max.Y; y++ {
for x := bounds.Min.X; x < bounds.Max.X; x++ {
dst.SetRGBA(x, y, color.RGBA{
R: uint8(y * 0x07),
G: uint8(x * 0x05),
B: 0x00,
A: 0x80,
})
}
}
want := make([]byte, len(dst.Pix))
copy(want, dst.Pix)
if op == draw.Over {
for y := 0; y < 16; y++ {
for x := 0; x < 16; x++ {
ma := basicMask[16*y+x]
i := dst.PixOffset(x, y)
want[i+0] = uint8((uint32(0xff-ma) * uint32(y*0x07)) / 0xff)
want[i+1] = uint8((uint32(0xff-ma) * uint32(x*0x05)) / 0xff)
want[i+2] = ma
want[i+3] = ma/2 + 0x80
}
}
} else {
for y := 0; y < 16; y++ {
for x := 0; x < 16; x++ {
ma := basicMask[16*y+x]
i := dst.PixOffset(x, y)
want[i+0] = 0x00
want[i+1] = 0x00
want[i+2] = ma
want[i+3] = ma
}
}
}
prefix := fmt.Sprintf("op=%v, xPadding=%d", op, xPadding)
testBasicPath(t, prefix, dst, blue, op, want)
}
}
}
const (
benchmarkGlyphWidth = 893
benchmarkGlyphHeight = 1122
)
type benchmarkGlyphDatum struct {
// n being 0, 1 or 2 means moveTo, lineTo or quadTo.
n uint32
p f32.Vec2
q f32.Vec2
}
// benchmarkGlyphData is the 'a' glyph from the Roboto Regular font, translated
// so that its top left corner is (0, 0).
var benchmarkGlyphData = []benchmarkGlyphDatum{
{0, f32.Vec2{699, 1102}, f32.Vec2{0, 0}},
{2, f32.Vec2{683, 1070}, f32.Vec2{673, 988}},
{2, f32.Vec2{544, 1122}, f32.Vec2{365, 1122}},
{2, f32.Vec2{205, 1122}, f32.Vec2{102.5, 1031.5}},
{2, f32.Vec2{0, 941}, f32.Vec2{0, 802}},
{2, f32.Vec2{0, 633}, f32.Vec2{128.5, 539.5}},
{2, f32.Vec2{257, 446}, f32.Vec2{490, 446}},
{1, f32.Vec2{670, 446}, f32.Vec2{0, 0}},
{1, f32.Vec2{670, 361}, f32.Vec2{0, 0}},
{2, f32.Vec2{670, 264}, f32.Vec2{612, 206.5}},
{2, f32.Vec2{554, 149}, f32.Vec2{441, 149}},
{2, f32.Vec2{342, 149}, f32.Vec2{275, 199}},
{2, f32.Vec2{208, 249}, f32.Vec2{208, 320}},
{1, f32.Vec2{22, 320}, f32.Vec2{0, 0}},
{2, f32.Vec2{22, 239}, f32.Vec2{79.5, 163.5}},
{2, f32.Vec2{137, 88}, f32.Vec2{235.5, 44}},
{2, f32.Vec2{334, 0}, f32.Vec2{452, 0}},
{2, f32.Vec2{639, 0}, f32.Vec2{745, 93.5}},
{2, f32.Vec2{851, 187}, f32.Vec2{855, 351}},
{1, f32.Vec2{855, 849}, f32.Vec2{0, 0}},
{2, f32.Vec2{855, 998}, f32.Vec2{893, 1086}},
{1, f32.Vec2{893, 1102}, f32.Vec2{0, 0}},
{1, f32.Vec2{699, 1102}, f32.Vec2{0, 0}},
{0, f32.Vec2{392, 961}, f32.Vec2{0, 0}},
{2, f32.Vec2{479, 961}, f32.Vec2{557, 916}},
{2, f32.Vec2{635, 871}, f32.Vec2{670, 799}},
{1, f32.Vec2{670, 577}, f32.Vec2{0, 0}},
{1, f32.Vec2{525, 577}, f32.Vec2{0, 0}},
{2, f32.Vec2{185, 577}, f32.Vec2{185, 776}},
{2, f32.Vec2{185, 863}, f32.Vec2{243, 912}},
{2, f32.Vec2{301, 961}, f32.Vec2{392, 961}},
}
func scaledBenchmarkGlyphData(height int) (width int, data []benchmarkGlyphDatum) {
scale := float32(height) / benchmarkGlyphHeight
// Clone the benchmarkGlyphData slice and scale its coordinates.
data = append(data, benchmarkGlyphData...)
for i := range data {
data[i].p[0] *= scale
data[i].p[1] *= scale
data[i].q[0] *= scale
data[i].q[1] *= scale
}
return int(math.Ceil(float64(benchmarkGlyphWidth * scale))), data
}
// benchGlyph benchmarks rasterizing a TrueType glyph.
//
// Note that, compared to the github.com/google/font-go prototype, the height
// here is the height of the bounding box, not the pixels per em used to scale
// a glyph's vectors. A height of 64 corresponds to a ppem greater than 64.
func benchGlyph(b *testing.B, colorModel byte, loose bool, height int, op draw.Op) {
width, data := scaledBenchmarkGlyphData(height)
z := NewRasterizer(width, height)
bounds := z.Bounds()
if loose {
bounds.Max.X++
}
dst, src := draw.Image(nil), image.Image(nil)
switch colorModel {
case 'A':
dst = image.NewAlpha(bounds)
src = image.Opaque
case 'N':
dst = image.NewNRGBA(bounds)
src = image.NewUniform(color.NRGBA{0x40, 0x80, 0xc0, 0xff})
case 'R':
dst = image.NewRGBA(bounds)
src = image.NewUniform(color.RGBA{0x40, 0x80, 0xc0, 0xff})
default:
b.Fatal("unsupported color model")
}
bounds = z.Bounds()
b.ResetTimer()
for i := 0; i < b.N; i++ {
z.Reset(width, height)
z.DrawOp = op
for _, d := range data {
switch d.n {
case 0:
z.MoveTo(d.p)
case 1:
z.LineTo(d.p)
case 2:
z.QuadTo(d.p, d.q)
}
}
z.Draw(dst, bounds, src, image.Point{})
}
}
func BenchmarkGlyphAlpha16Over(b *testing.B) { benchGlyph(b, 'A', false, 16, draw.Over) }
func BenchmarkGlyphAlpha16Src(b *testing.B) { benchGlyph(b, 'A', false, 16, draw.Src) }
func BenchmarkGlyphAlpha32Over(b *testing.B) { benchGlyph(b, 'A', false, 32, draw.Over) }
func BenchmarkGlyphAlpha32Src(b *testing.B) { benchGlyph(b, 'A', false, 32, draw.Src) }
func BenchmarkGlyphAlpha64Over(b *testing.B) { benchGlyph(b, 'A', false, 64, draw.Over) }
func BenchmarkGlyphAlpha64Src(b *testing.B) { benchGlyph(b, 'A', false, 64, draw.Src) }
func BenchmarkGlyphAlpha128Over(b *testing.B) { benchGlyph(b, 'A', false, 128, draw.Over) }
func BenchmarkGlyphAlpha128Src(b *testing.B) { benchGlyph(b, 'A', false, 128, draw.Src) }
func BenchmarkGlyphAlpha256Over(b *testing.B) { benchGlyph(b, 'A', false, 256, draw.Over) }
func BenchmarkGlyphAlpha256Src(b *testing.B) { benchGlyph(b, 'A', false, 256, draw.Src) }
func BenchmarkGlyphAlphaLoose16Over(b *testing.B) { benchGlyph(b, 'A', true, 16, draw.Over) }
func BenchmarkGlyphAlphaLoose16Src(b *testing.B) { benchGlyph(b, 'A', true, 16, draw.Src) }
func BenchmarkGlyphAlphaLoose32Over(b *testing.B) { benchGlyph(b, 'A', true, 32, draw.Over) }
func BenchmarkGlyphAlphaLoose32Src(b *testing.B) { benchGlyph(b, 'A', true, 32, draw.Src) }
func BenchmarkGlyphAlphaLoose64Over(b *testing.B) { benchGlyph(b, 'A', true, 64, draw.Over) }
func BenchmarkGlyphAlphaLoose64Src(b *testing.B) { benchGlyph(b, 'A', true, 64, draw.Src) }
func BenchmarkGlyphAlphaLoose128Over(b *testing.B) { benchGlyph(b, 'A', true, 128, draw.Over) }
func BenchmarkGlyphAlphaLoose128Src(b *testing.B) { benchGlyph(b, 'A', true, 128, draw.Src) }
func BenchmarkGlyphAlphaLoose256Over(b *testing.B) { benchGlyph(b, 'A', true, 256, draw.Over) }
func BenchmarkGlyphAlphaLoose256Src(b *testing.B) { benchGlyph(b, 'A', true, 256, draw.Src) }
func BenchmarkGlyphRGBA16Over(b *testing.B) { benchGlyph(b, 'R', false, 16, draw.Over) }
func BenchmarkGlyphRGBA16Src(b *testing.B) { benchGlyph(b, 'R', false, 16, draw.Src) }
func BenchmarkGlyphRGBA32Over(b *testing.B) { benchGlyph(b, 'R', false, 32, draw.Over) }
func BenchmarkGlyphRGBA32Src(b *testing.B) { benchGlyph(b, 'R', false, 32, draw.Src) }
func BenchmarkGlyphRGBA64Over(b *testing.B) { benchGlyph(b, 'R', false, 64, draw.Over) }
func BenchmarkGlyphRGBA64Src(b *testing.B) { benchGlyph(b, 'R', false, 64, draw.Src) }
func BenchmarkGlyphRGBA128Over(b *testing.B) { benchGlyph(b, 'R', false, 128, draw.Over) }
func BenchmarkGlyphRGBA128Src(b *testing.B) { benchGlyph(b, 'R', false, 128, draw.Src) }
func BenchmarkGlyphRGBA256Over(b *testing.B) { benchGlyph(b, 'R', false, 256, draw.Over) }
func BenchmarkGlyphRGBA256Src(b *testing.B) { benchGlyph(b, 'R', false, 256, draw.Src) }
func BenchmarkGlyphNRGBA16Over(b *testing.B) { benchGlyph(b, 'N', false, 16, draw.Over) }
func BenchmarkGlyphNRGBA16Src(b *testing.B) { benchGlyph(b, 'N', false, 16, draw.Src) }
func BenchmarkGlyphNRGBA32Over(b *testing.B) { benchGlyph(b, 'N', false, 32, draw.Over) }
func BenchmarkGlyphNRGBA32Src(b *testing.B) { benchGlyph(b, 'N', false, 32, draw.Src) }
func BenchmarkGlyphNRGBA64Over(b *testing.B) { benchGlyph(b, 'N', false, 64, draw.Over) }
func BenchmarkGlyphNRGBA64Src(b *testing.B) { benchGlyph(b, 'N', false, 64, draw.Src) }
func BenchmarkGlyphNRGBA128Over(b *testing.B) { benchGlyph(b, 'N', false, 128, draw.Over) }
func BenchmarkGlyphNRGBA128Src(b *testing.B) { benchGlyph(b, 'N', false, 128, draw.Src) }
func BenchmarkGlyphNRGBA256Over(b *testing.B) { benchGlyph(b, 'N', false, 256, draw.Over) }
func BenchmarkGlyphNRGBA256Src(b *testing.B) { benchGlyph(b, 'N', false, 256, draw.Src) }
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