// 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" ) // 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) (x, y float32) { c := float64(center) r := float64(radius) i := float64(index) n := float64(number) return 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(1*center, 1*center) z.LineTo(pointOnCircle(center, radius, i+0, n)) z.LineTo(pointOnCircle(center, radius, i+j, n)) z.ClosePath() z.MoveTo(0*center, 0*center) z.LineTo(0*center, 2*center) z.LineTo(2*center, 2*center) z.LineTo(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 <= 256; radius *= 2 { for n := 3; n <= 19; n += 4 { z.Reset(2*radius, 2*radius) z.MoveTo(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(2, 2) z.LineTo(6, math.Nextafter32(2, 0)) z.LineTo(6, 6) z.LineTo(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(-x, 3) z.LineTo(+x, 4) z.LineTo(+x, 6) z.LineTo(-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(4, 4) z.LineTo(8, 4) z.LineTo(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(float32(i/2), float32(i/2)) for ; rng.Intn(16) != 0; n++ { x := 1 + rng.Intn(i) y := 1 + rng.Intn(i) z.LineTo(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(2, 2) z.LineTo(8, 2) z.QuadTo(14, 2, 14, 14) z.CubeTo(8, 2, 5, 20, 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 px float32 py float32 qx float32 qy float32 } // benchmarkGlyphData is the 'a' glyph from the Roboto Regular font, translated // so that its top left corner is (0, 0). var benchmarkGlyphData = []benchmarkGlyphDatum{ {0, 699, 1102, 0, 0}, {2, 683, 1070, 673, 988}, {2, 544, 1122, 365, 1122}, {2, 205, 1122, 102.5, 1031.5}, {2, 0, 941, 0, 802}, {2, 0, 633, 128.5, 539.5}, {2, 257, 446, 490, 446}, {1, 670, 446, 0, 0}, {1, 670, 361, 0, 0}, {2, 670, 264, 612, 206.5}, {2, 554, 149, 441, 149}, {2, 342, 149, 275, 199}, {2, 208, 249, 208, 320}, {1, 22, 320, 0, 0}, {2, 22, 239, 79.5, 163.5}, {2, 137, 88, 235.5, 44}, {2, 334, 0, 452, 0}, {2, 639, 0, 745, 93.5}, {2, 851, 187, 855, 351}, {1, 855, 849, 0, 0}, {2, 855, 998, 893, 1086}, {1, 893, 1102, 0, 0}, {1, 699, 1102, 0, 0}, {0, 392, 961, 0, 0}, {2, 479, 961, 557, 916}, {2, 635, 871, 670, 799}, {1, 670, 577, 0, 0}, {1, 525, 577, 0, 0}, {2, 185, 577, 185, 776}, {2, 185, 863, 243, 912}, {2, 301, 961, 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].px *= scale data[i].py *= scale data[i].qx *= scale data[i].qy *= 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.px, d.py) case 1: z.LineTo(d.px, d.py) case 2: z.QuadTo(d.px, d.py, d.qx, d.qy) } } 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) }