// Copyright 2015 The Freetype-Go Authors. All rights reserved. // Use of this source code is governed by your choice of either the // FreeType License or the GNU General Public License version 2 (or // any later version), both of which can be found in the LICENSE file. package truetype import ( "image" "math" "github.com/golang/freetype/raster" "golang.org/x/image/font" "golang.org/x/image/math/fixed" ) func powerOf2(i int) bool { return i != 0 && (i&(i-1)) == 0 } // Options are optional arguments to NewFace. type Options struct { // Size is the font size in points, as in "a 10 point font size". // // A zero value means to use a 12 point font size. Size float64 // DPI is the dots-per-inch resolution. // // A zero value means to use 72 DPI. DPI float64 // Hinting is how to quantize the glyph nodes. // // A zero value means to use no hinting. Hinting font.Hinting // GlyphCacheEntries is the number of entries in the glyph mask image // cache. // // If non-zero, it must be a power of 2. // // A zero value means to use 512 entries. GlyphCacheEntries int // SubPixelsX is the number of sub-pixel locations a glyph's dot is // quantized to, in the horizontal direction. For example, a value of 8 // means that the dot is quantized to 1/8th of a pixel. This quantization // only affects the glyph mask image, not its bounding box or advance // width. A higher value gives a more faithful glyph image, but reduces the // effectiveness of the glyph cache. // // If non-zero, it must be a power of 2, and be between 1 and 64 inclusive. // // A zero value means to use 4 sub-pixel locations. SubPixelsX int // SubPixelsY is the number of sub-pixel locations a glyph's dot is // quantized to, in the vertical direction. For example, a value of 8 // means that the dot is quantized to 1/8th of a pixel. This quantization // only affects the glyph mask image, not its bounding box or advance // width. A higher value gives a more faithful glyph image, but reduces the // effectiveness of the glyph cache. // // If non-zero, it must be a power of 2, and be between 1 and 64 inclusive. // // A zero value means to use 1 sub-pixel location. SubPixelsY int // Stroke is the number of pixels that the font glyphs are being stroked. // // A zero values means no stroke. Stroke int } func (o *Options) size() float64 { if o != nil && o.Size > 0 { return o.Size } return 12 } func (o *Options) dpi() float64 { if o != nil && o.DPI > 0 { return o.DPI } return 72 } func (o *Options) hinting() font.Hinting { if o != nil { switch o.Hinting { case font.HintingVertical, font.HintingFull: // TODO: support vertical hinting. return font.HintingFull } } return font.HintingNone } func (o *Options) glyphCacheEntries() int { if o != nil && powerOf2(o.GlyphCacheEntries) { return o.GlyphCacheEntries } // 512 is 128 * 4 * 1, which lets us cache 128 glyphs at 4 * 1 subpixel // locations in the X and Y direction. return 512 } func (o *Options) subPixelsX() (value uint32, halfQuantum, mask fixed.Int26_6) { if o != nil { switch o.SubPixelsX { case 1, 2, 4, 8, 16, 32, 64: return subPixels(o.SubPixelsX) } } // This default value of 4 isn't based on anything scientific, merely as // small a number as possible that looks almost as good as no quantization, // or returning subPixels(64). return subPixels(4) } func (o *Options) subPixelsY() (value uint32, halfQuantum, mask fixed.Int26_6) { if o != nil { switch o.SubPixelsX { case 1, 2, 4, 8, 16, 32, 64: return subPixels(o.SubPixelsX) } } // This default value of 1 isn't based on anything scientific, merely that // vertical sub-pixel glyph rendering is pretty rare. Baseline locations // can usually afford to snap to the pixel grid, so the vertical direction // doesn't have the deal with the horizontal's fractional advance widths. return subPixels(1) } // subPixels returns q and the bias and mask that leads to q quantized // sub-pixel locations per full pixel. // // For example, q == 4 leads to a bias of 8 and a mask of 0xfffffff0, or -16, // because we want to round fractions of fixed.Int26_6 as: // - 0 to 7 rounds to 0. // - 8 to 23 rounds to 16. // - 24 to 39 rounds to 32. // - 40 to 55 rounds to 48. // - 56 to 63 rounds to 64. // which means to add 8 and then bitwise-and with -16, in two's complement // representation. // // When q == 1, we want bias == 32 and mask == -64. // When q == 2, we want bias == 16 and mask == -32. // When q == 4, we want bias == 8 and mask == -16. // ... // When q == 64, we want bias == 0 and mask == -1. (The no-op case). // The pattern is clear. func subPixels(q int) (value uint32, bias, mask fixed.Int26_6) { return uint32(q), 32 / fixed.Int26_6(q), -64 / fixed.Int26_6(q) } // glyphCacheEntry caches the arguments and return values of rasterize. type glyphCacheEntry struct { key glyphCacheKey val glyphCacheVal } type glyphCacheKey struct { index Index fx, fy uint8 } type glyphCacheVal struct { advanceWidth fixed.Int26_6 offset image.Point gw int gh int } type indexCacheEntry struct { rune rune index Index } // NewFace returns a new font.Face for the given Font. func NewFace(f *Font, opts *Options) font.Face { a := &face{ f: f, hinting: opts.hinting(), scale: fixed.Int26_6(0.5 + (opts.size() * opts.dpi() * 64 / 72)), glyphCache: make([]glyphCacheEntry, opts.glyphCacheEntries()), stroke: fixed.I(opts.Stroke * 2), } a.subPixelX, a.subPixelBiasX, a.subPixelMaskX = opts.subPixelsX() a.subPixelY, a.subPixelBiasY, a.subPixelMaskY = opts.subPixelsY() // Fill the cache with invalid entries. Valid glyph cache entries have fx // and fy in the range [0, 64). Valid index cache entries have rune >= 0. for i := range a.glyphCache { a.glyphCache[i].key.fy = 0xff } for i := range a.indexCache { a.indexCache[i].rune = -1 } // Set the rasterizer's bounds to be big enough to handle the largest glyph. b := f.Bounds(a.scale) xmin := +int(b.Min.X) >> 6 ymin := -int(b.Max.Y) >> 6 xmax := +int(b.Max.X+63) >> 6 ymax := -int(b.Min.Y-63) >> 6 a.maxw = xmax - xmin a.maxh = ymax - ymin a.masks = image.NewAlpha(image.Rect(0, 0, a.maxw, a.maxh*len(a.glyphCache))) a.r.SetBounds(a.maxw, a.maxh) a.p = facePainter{a} if a.stroke != 0 { a.r.UseNonZeroWinding = true } return a } type face struct { f *Font hinting font.Hinting scale fixed.Int26_6 subPixelX uint32 subPixelBiasX fixed.Int26_6 subPixelMaskX fixed.Int26_6 subPixelY uint32 subPixelBiasY fixed.Int26_6 subPixelMaskY fixed.Int26_6 stroke fixed.Int26_6 masks *image.Alpha glyphCache []glyphCacheEntry r raster.Rasterizer p raster.Painter paintOffset int maxw int maxh int glyphBuf GlyphBuf indexCache [indexCacheLen]indexCacheEntry // TODO: clip rectangle? } const indexCacheLen = 256 func (a *face) index(r rune) Index { const mask = indexCacheLen - 1 c := &a.indexCache[r&mask] if c.rune == r { return c.index } i := a.f.Index(r) c.rune = r c.index = i return i } // Close satisfies the font.Face interface. func (a *face) Close() error { return nil } // Metrics satisfies the font.Face interface. func (a *face) Metrics() font.Metrics { scale := float64(a.scale) fupe := float64(a.f.FUnitsPerEm()) return font.Metrics{ Height: a.scale, Ascent: fixed.Int26_6(math.Ceil(scale * float64(+a.f.ascent) / fupe)), Descent: fixed.Int26_6(math.Ceil(scale * float64(-a.f.descent) / fupe)), } } // Kern satisfies the font.Face interface. func (a *face) Kern(r0, r1 rune) fixed.Int26_6 { i0 := a.index(r0) i1 := a.index(r1) kern := a.f.Kern(a.scale, i0, i1) if a.hinting != font.HintingNone { kern = (kern + 32) &^ 63 } return kern } // Glyph satisfies the font.Face interface. func (a *face) Glyph(dot fixed.Point26_6, r rune) ( dr image.Rectangle, mask image.Image, maskp image.Point, advance fixed.Int26_6, ok bool) { // Quantize to the sub-pixel granularity. dotX := (dot.X + a.subPixelBiasX) & a.subPixelMaskX dotY := (dot.Y + a.subPixelBiasY) & a.subPixelMaskY // Split the coordinates into their integer and fractional parts. ix, fx := int(dotX>>6), dotX&0x3f iy, fy := int(dotY>>6), dotY&0x3f index := a.index(r) cIndex := uint32(index) cIndex = cIndex*a.subPixelX - uint32(fx/a.subPixelMaskX) cIndex = cIndex*a.subPixelY - uint32(fy/a.subPixelMaskY) cIndex &= uint32(len(a.glyphCache) - 1) a.paintOffset = a.maxh * int(cIndex) k := glyphCacheKey{ index: index, fx: uint8(fx), fy: uint8(fy), } var v glyphCacheVal if a.glyphCache[cIndex].key != k { var ok bool v, ok = a.rasterize(index, fx, fy) if !ok { return image.Rectangle{}, nil, image.Point{}, 0, false } a.glyphCache[cIndex] = glyphCacheEntry{k, v} } else { v = a.glyphCache[cIndex].val } dr.Min = image.Point{ X: ix + v.offset.X, Y: iy + v.offset.Y, } dr.Max = image.Point{ X: dr.Min.X + v.gw, Y: dr.Min.Y + v.gh, } return dr, a.masks, image.Point{Y: a.paintOffset}, v.advanceWidth, true } func (a *face) GlyphBounds(r rune) (bounds fixed.Rectangle26_6, advance fixed.Int26_6, ok bool) { if err := a.glyphBuf.Load(a.f, a.scale, a.index(r), a.hinting); err != nil { return fixed.Rectangle26_6{}, 0, false } xmin := +a.glyphBuf.Bounds.Min.X ymin := -a.glyphBuf.Bounds.Max.Y xmax := +a.glyphBuf.Bounds.Max.X ymax := -a.glyphBuf.Bounds.Min.Y if xmin > xmax || ymin > ymax { return fixed.Rectangle26_6{}, 0, false } xmin -= a.stroke ymin -= a.stroke xmax += a.stroke ymax += a.stroke return fixed.Rectangle26_6{ Min: fixed.Point26_6{ X: xmin, Y: ymin, }, Max: fixed.Point26_6{ X: xmax, Y: ymax, }, }, a.glyphBuf.AdvanceWidth, true } func (a *face) GlyphAdvance(r rune) (advance fixed.Int26_6, ok bool) { if err := a.glyphBuf.Load(a.f, a.scale, a.index(r), a.hinting); err != nil { return 0, false } return a.glyphBuf.AdvanceWidth, true } // rasterize returns the advance width, integer-pixel offset to render at, and // the width and height of the given glyph at the given sub-pixel offsets. // // The 26.6 fixed point arguments fx and fy must be in the range [0, 1). func (a *face) rasterize(index Index, fx, fy fixed.Int26_6) (v glyphCacheVal, ok bool) { if err := a.glyphBuf.Load(a.f, a.scale, index, a.hinting); err != nil { return glyphCacheVal{}, false } // Calculate the integer-pixel bounds for the glyph. xmin := int(fx+a.glyphBuf.Bounds.Min.X) >> 6 ymin := int(fy-a.glyphBuf.Bounds.Max.Y) >> 6 xmax := int(fx+a.glyphBuf.Bounds.Max.X+0x3f) >> 6 ymax := int(fy-a.glyphBuf.Bounds.Min.Y+0x3f) >> 6 if xmin > xmax || ymin > ymax { return glyphCacheVal{}, false } xmin -= int(a.stroke) >> 6 ymin -= int(a.stroke) >> 6 xmax += int(a.stroke) >> 6 ymax += int(a.stroke) >> 6 // A TrueType's glyph's nodes can have negative co-ordinates, but the // rasterizer clips anything left of x=0 or above y=0. xmin and ymin are // the pixel offsets, based on the font's FUnit metrics, that let a // negative co-ordinate in TrueType space be non-negative in rasterizer // space. xmin and ymin are typically <= 0. fx -= fixed.Int26_6(xmin << 6) fy -= fixed.Int26_6(ymin << 6) // Rasterize the glyph's vectors. a.r.Clear() pixOffset := a.paintOffset * a.maxw clear(a.masks.Pix[pixOffset : pixOffset+a.maxw*a.maxh]) e0 := 0 for _, e1 := range a.glyphBuf.Ends { a.drawContour(a.glyphBuf.Points[e0:e1], fx, fy) e0 = e1 } a.r.Rasterize(a.p) return glyphCacheVal{ a.glyphBuf.AdvanceWidth, image.Point{xmin, ymin}, xmax - xmin, ymax - ymin, }, true } func clear(pix []byte) { for i := range pix { pix[i] = 0 } } // drawContour draws the given closed contour with the given offset. func (a *face) drawContour(ps []Point, dx, dy fixed.Int26_6) { if len(ps) == 0 { return } // The low bit of each point's Flags value is whether the point is on the // curve. Truetype fonts only have quadratic Bézier curves, not cubics. // Thus, two consecutive off-curve points imply an on-curve point in the // middle of those two. // // See http://chanae.walon.org/pub/ttf/ttf_glyphs.htm for more details. // ps[0] is a truetype.Point measured in FUnits and positive Y going // upwards. start is the same thing measured in fixed point units and // positive Y going downwards, and offset by (dx, dy). start := fixed.Point26_6{ X: dx + ps[0].X, Y: dy - ps[0].Y, } var others []Point if ps[0].Flags&0x01 != 0 { others = ps[1:] } else { last := fixed.Point26_6{ X: dx + ps[len(ps)-1].X, Y: dy - ps[len(ps)-1].Y, } if ps[len(ps)-1].Flags&0x01 != 0 { start = last others = ps[:len(ps)-1] } else { start = fixed.Point26_6{ X: (start.X + last.X) / 2, Y: (start.Y + last.Y) / 2, } others = ps } } path := raster.Path{} path.Start(start) q0, on0 := start, true for _, p := range others { q := fixed.Point26_6{ X: dx + p.X, Y: dy - p.Y, } on := p.Flags&0x01 != 0 if on { if on0 { path.Add1(q) } else { path.Add2(q0, q) } } else { if on0 { // No-op. } else { mid := fixed.Point26_6{ X: (q0.X + q.X) / 2, Y: (q0.Y + q.Y) / 2, } path.Add2(q0, mid) } } q0, on0 = q, on } // Close the curve. if on0 { path.Add1(start) } else { path.Add2(q0, start) } if a.stroke == 0 { a.r.AddPath(path) } else { path.Add1(start) a.r.AddStroke(path, a.stroke, raster.RoundCapper, raster.RoundJoiner) } } // facePainter is like a raster.AlphaSrcPainter, with an additional Y offset // (face.paintOffset) to the painted spans. type facePainter struct { a *face } func (p facePainter) Paint(ss []raster.Span, done bool) { m := p.a.masks b := m.Bounds() b.Min.Y = p.a.paintOffset b.Max.Y = p.a.paintOffset + p.a.maxh for _, s := range ss { s.Y += p.a.paintOffset if s.Y < b.Min.Y { continue } if s.Y >= b.Max.Y { return } if s.X0 < b.Min.X { s.X0 = b.Min.X } if s.X1 > b.Max.X { s.X1 = b.Max.X } if s.X0 >= s.X1 { continue } base := (s.Y-m.Rect.Min.Y)*m.Stride - m.Rect.Min.X p := m.Pix[base+s.X0 : base+s.X1] color := uint8(s.Alpha >> 8) for i := range p { p[i] = color } } }