github.com/mh-cbon/go@v0.0.0-20160603070303-9e112a3fe4c0/src/image/draw/draw.go (about)

     1  // Copyright 2009 The Go Authors. All rights reserved.
     2  // Use of this source code is governed by a BSD-style
     3  // license that can be found in the LICENSE file.
     4  
     5  // Package draw provides image composition functions.
     6  //
     7  // See "The Go image/draw package" for an introduction to this package:
     8  // https://golang.org/doc/articles/image_draw.html
     9  package draw
    10  
    11  import (
    12  	"image"
    13  	"image/color"
    14  	"image/internal/imageutil"
    15  )
    16  
    17  // m is the maximum color value returned by image.Color.RGBA.
    18  const m = 1<<16 - 1
    19  
    20  // Image is an image.Image with a Set method to change a single pixel.
    21  type Image interface {
    22  	image.Image
    23  	Set(x, y int, c color.Color)
    24  }
    25  
    26  // Quantizer produces a palette for an image.
    27  type Quantizer interface {
    28  	// Quantize appends up to cap(p) - len(p) colors to p and returns the
    29  	// updated palette suitable for converting m to a paletted image.
    30  	Quantize(p color.Palette, m image.Image) color.Palette
    31  }
    32  
    33  // Op is a Porter-Duff compositing operator.
    34  type Op int
    35  
    36  const (
    37  	// Over specifies ``(src in mask) over dst''.
    38  	Over Op = iota
    39  	// Src specifies ``src in mask''.
    40  	Src
    41  )
    42  
    43  // Draw implements the Drawer interface by calling the Draw function with this
    44  // Op.
    45  func (op Op) Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point) {
    46  	DrawMask(dst, r, src, sp, nil, image.Point{}, op)
    47  }
    48  
    49  // Drawer contains the Draw method.
    50  type Drawer interface {
    51  	// Draw aligns r.Min in dst with sp in src and then replaces the
    52  	// rectangle r in dst with the result of drawing src on dst.
    53  	Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point)
    54  }
    55  
    56  // FloydSteinberg is a Drawer that is the Src Op with Floyd-Steinberg error
    57  // diffusion.
    58  var FloydSteinberg Drawer = floydSteinberg{}
    59  
    60  type floydSteinberg struct{}
    61  
    62  func (floydSteinberg) Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point) {
    63  	clip(dst, &r, src, &sp, nil, nil)
    64  	if r.Empty() {
    65  		return
    66  	}
    67  	drawPaletted(dst, r, src, sp, true)
    68  }
    69  
    70  // clip clips r against each image's bounds (after translating into the
    71  // destination image's coordinate space) and shifts the points sp and mp by
    72  // the same amount as the change in r.Min.
    73  func clip(dst Image, r *image.Rectangle, src image.Image, sp *image.Point, mask image.Image, mp *image.Point) {
    74  	orig := r.Min
    75  	*r = r.Intersect(dst.Bounds())
    76  	*r = r.Intersect(src.Bounds().Add(orig.Sub(*sp)))
    77  	if mask != nil {
    78  		*r = r.Intersect(mask.Bounds().Add(orig.Sub(*mp)))
    79  	}
    80  	dx := r.Min.X - orig.X
    81  	dy := r.Min.Y - orig.Y
    82  	if dx == 0 && dy == 0 {
    83  		return
    84  	}
    85  	sp.X += dx
    86  	sp.Y += dy
    87  	if mp != nil {
    88  		mp.X += dx
    89  		mp.Y += dy
    90  	}
    91  }
    92  
    93  func processBackward(dst Image, r image.Rectangle, src image.Image, sp image.Point) bool {
    94  	return image.Image(dst) == src &&
    95  		r.Overlaps(r.Add(sp.Sub(r.Min))) &&
    96  		(sp.Y < r.Min.Y || (sp.Y == r.Min.Y && sp.X < r.Min.X))
    97  }
    98  
    99  // Draw calls DrawMask with a nil mask.
   100  func Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point, op Op) {
   101  	DrawMask(dst, r, src, sp, nil, image.Point{}, op)
   102  }
   103  
   104  // DrawMask aligns r.Min in dst with sp in src and mp in mask and then replaces the rectangle r
   105  // in dst with the result of a Porter-Duff composition. A nil mask is treated as opaque.
   106  func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mask image.Image, mp image.Point, op Op) {
   107  	clip(dst, &r, src, &sp, mask, &mp)
   108  	if r.Empty() {
   109  		return
   110  	}
   111  
   112  	// Fast paths for special cases. If none of them apply, then we fall back to a general but slow implementation.
   113  	switch dst0 := dst.(type) {
   114  	case *image.RGBA:
   115  		if op == Over {
   116  			if mask == nil {
   117  				switch src0 := src.(type) {
   118  				case *image.Uniform:
   119  					drawFillOver(dst0, r, src0)
   120  					return
   121  				case *image.RGBA:
   122  					drawCopyOver(dst0, r, src0, sp)
   123  					return
   124  				case *image.NRGBA:
   125  					drawNRGBAOver(dst0, r, src0, sp)
   126  					return
   127  				case *image.YCbCr:
   128  					// An image.YCbCr is always fully opaque, and so if the
   129  					// mask is nil (i.e. fully opaque) then the op is
   130  					// effectively always Src. Similarly for image.Gray and
   131  					// image.CMYK.
   132  					if imageutil.DrawYCbCr(dst0, r, src0, sp) {
   133  						return
   134  					}
   135  				case *image.Gray:
   136  					drawGray(dst0, r, src0, sp)
   137  					return
   138  				case *image.CMYK:
   139  					drawCMYK(dst0, r, src0, sp)
   140  					return
   141  				}
   142  			} else if mask0, ok := mask.(*image.Alpha); ok {
   143  				switch src0 := src.(type) {
   144  				case *image.Uniform:
   145  					drawGlyphOver(dst0, r, src0, mask0, mp)
   146  					return
   147  				}
   148  			}
   149  		} else {
   150  			if mask == nil {
   151  				switch src0 := src.(type) {
   152  				case *image.Uniform:
   153  					drawFillSrc(dst0, r, src0)
   154  					return
   155  				case *image.RGBA:
   156  					drawCopySrc(dst0, r, src0, sp)
   157  					return
   158  				case *image.NRGBA:
   159  					drawNRGBASrc(dst0, r, src0, sp)
   160  					return
   161  				case *image.YCbCr:
   162  					if imageutil.DrawYCbCr(dst0, r, src0, sp) {
   163  						return
   164  					}
   165  				case *image.Gray:
   166  					drawGray(dst0, r, src0, sp)
   167  					return
   168  				case *image.CMYK:
   169  					drawCMYK(dst0, r, src0, sp)
   170  					return
   171  				}
   172  			}
   173  		}
   174  		drawRGBA(dst0, r, src, sp, mask, mp, op)
   175  		return
   176  	case *image.Paletted:
   177  		if op == Src && mask == nil && !processBackward(dst, r, src, sp) {
   178  			drawPaletted(dst0, r, src, sp, false)
   179  			return
   180  		}
   181  	}
   182  
   183  	x0, x1, dx := r.Min.X, r.Max.X, 1
   184  	y0, y1, dy := r.Min.Y, r.Max.Y, 1
   185  	if processBackward(dst, r, src, sp) {
   186  		x0, x1, dx = x1-1, x0-1, -1
   187  		y0, y1, dy = y1-1, y0-1, -1
   188  	}
   189  
   190  	var out color.RGBA64
   191  	sy := sp.Y + y0 - r.Min.Y
   192  	my := mp.Y + y0 - r.Min.Y
   193  	for y := y0; y != y1; y, sy, my = y+dy, sy+dy, my+dy {
   194  		sx := sp.X + x0 - r.Min.X
   195  		mx := mp.X + x0 - r.Min.X
   196  		for x := x0; x != x1; x, sx, mx = x+dx, sx+dx, mx+dx {
   197  			ma := uint32(m)
   198  			if mask != nil {
   199  				_, _, _, ma = mask.At(mx, my).RGBA()
   200  			}
   201  			switch {
   202  			case ma == 0:
   203  				if op == Over {
   204  					// No-op.
   205  				} else {
   206  					dst.Set(x, y, color.Transparent)
   207  				}
   208  			case ma == m && op == Src:
   209  				dst.Set(x, y, src.At(sx, sy))
   210  			default:
   211  				sr, sg, sb, sa := src.At(sx, sy).RGBA()
   212  				if op == Over {
   213  					dr, dg, db, da := dst.At(x, y).RGBA()
   214  					a := m - (sa * ma / m)
   215  					out.R = uint16((dr*a + sr*ma) / m)
   216  					out.G = uint16((dg*a + sg*ma) / m)
   217  					out.B = uint16((db*a + sb*ma) / m)
   218  					out.A = uint16((da*a + sa*ma) / m)
   219  				} else {
   220  					out.R = uint16(sr * ma / m)
   221  					out.G = uint16(sg * ma / m)
   222  					out.B = uint16(sb * ma / m)
   223  					out.A = uint16(sa * ma / m)
   224  				}
   225  				// The third argument is &out instead of out (and out is
   226  				// declared outside of the inner loop) to avoid the implicit
   227  				// conversion to color.Color here allocating memory in the
   228  				// inner loop if sizeof(color.RGBA64) > sizeof(uintptr).
   229  				dst.Set(x, y, &out)
   230  			}
   231  		}
   232  	}
   233  }
   234  
   235  func drawFillOver(dst *image.RGBA, r image.Rectangle, src *image.Uniform) {
   236  	sr, sg, sb, sa := src.RGBA()
   237  	// The 0x101 is here for the same reason as in drawRGBA.
   238  	a := (m - sa) * 0x101
   239  	i0 := dst.PixOffset(r.Min.X, r.Min.Y)
   240  	i1 := i0 + r.Dx()*4
   241  	for y := r.Min.Y; y != r.Max.Y; y++ {
   242  		for i := i0; i < i1; i += 4 {
   243  			dr := &dst.Pix[i+0]
   244  			dg := &dst.Pix[i+1]
   245  			db := &dst.Pix[i+2]
   246  			da := &dst.Pix[i+3]
   247  
   248  			*dr = uint8((uint32(*dr)*a/m + sr) >> 8)
   249  			*dg = uint8((uint32(*dg)*a/m + sg) >> 8)
   250  			*db = uint8((uint32(*db)*a/m + sb) >> 8)
   251  			*da = uint8((uint32(*da)*a/m + sa) >> 8)
   252  		}
   253  		i0 += dst.Stride
   254  		i1 += dst.Stride
   255  	}
   256  }
   257  
   258  func drawFillSrc(dst *image.RGBA, r image.Rectangle, src *image.Uniform) {
   259  	sr, sg, sb, sa := src.RGBA()
   260  	sr8 := uint8(sr >> 8)
   261  	sg8 := uint8(sg >> 8)
   262  	sb8 := uint8(sb >> 8)
   263  	sa8 := uint8(sa >> 8)
   264  	// The built-in copy function is faster than a straightforward for loop to fill the destination with
   265  	// the color, but copy requires a slice source. We therefore use a for loop to fill the first row, and
   266  	// then use the first row as the slice source for the remaining rows.
   267  	i0 := dst.PixOffset(r.Min.X, r.Min.Y)
   268  	i1 := i0 + r.Dx()*4
   269  	for i := i0; i < i1; i += 4 {
   270  		dst.Pix[i+0] = sr8
   271  		dst.Pix[i+1] = sg8
   272  		dst.Pix[i+2] = sb8
   273  		dst.Pix[i+3] = sa8
   274  	}
   275  	firstRow := dst.Pix[i0:i1]
   276  	for y := r.Min.Y + 1; y < r.Max.Y; y++ {
   277  		i0 += dst.Stride
   278  		i1 += dst.Stride
   279  		copy(dst.Pix[i0:i1], firstRow)
   280  	}
   281  }
   282  
   283  func drawCopyOver(dst *image.RGBA, r image.Rectangle, src *image.RGBA, sp image.Point) {
   284  	dx, dy := r.Dx(), r.Dy()
   285  	d0 := dst.PixOffset(r.Min.X, r.Min.Y)
   286  	s0 := src.PixOffset(sp.X, sp.Y)
   287  	var (
   288  		ddelta, sdelta int
   289  		i0, i1, idelta int
   290  	)
   291  	if r.Min.Y < sp.Y || r.Min.Y == sp.Y && r.Min.X <= sp.X {
   292  		ddelta = dst.Stride
   293  		sdelta = src.Stride
   294  		i0, i1, idelta = 0, dx*4, +4
   295  	} else {
   296  		// If the source start point is higher than the destination start point, or equal height but to the left,
   297  		// then we compose the rows in right-to-left, bottom-up order instead of left-to-right, top-down.
   298  		d0 += (dy - 1) * dst.Stride
   299  		s0 += (dy - 1) * src.Stride
   300  		ddelta = -dst.Stride
   301  		sdelta = -src.Stride
   302  		i0, i1, idelta = (dx-1)*4, -4, -4
   303  	}
   304  	for ; dy > 0; dy-- {
   305  		dpix := dst.Pix[d0:]
   306  		spix := src.Pix[s0:]
   307  		for i := i0; i != i1; i += idelta {
   308  			sr := uint32(spix[i+0]) * 0x101
   309  			sg := uint32(spix[i+1]) * 0x101
   310  			sb := uint32(spix[i+2]) * 0x101
   311  			sa := uint32(spix[i+3]) * 0x101
   312  
   313  			dr := &dpix[i+0]
   314  			dg := &dpix[i+1]
   315  			db := &dpix[i+2]
   316  			da := &dpix[i+3]
   317  
   318  			// The 0x101 is here for the same reason as in drawRGBA.
   319  			a := (m - sa) * 0x101
   320  
   321  			*dr = uint8((uint32(*dr)*a/m + sr) >> 8)
   322  			*dg = uint8((uint32(*dg)*a/m + sg) >> 8)
   323  			*db = uint8((uint32(*db)*a/m + sb) >> 8)
   324  			*da = uint8((uint32(*da)*a/m + sa) >> 8)
   325  		}
   326  		d0 += ddelta
   327  		s0 += sdelta
   328  	}
   329  }
   330  
   331  func drawCopySrc(dst *image.RGBA, r image.Rectangle, src *image.RGBA, sp image.Point) {
   332  	n, dy := 4*r.Dx(), r.Dy()
   333  	d0 := dst.PixOffset(r.Min.X, r.Min.Y)
   334  	s0 := src.PixOffset(sp.X, sp.Y)
   335  	var ddelta, sdelta int
   336  	if r.Min.Y <= sp.Y {
   337  		ddelta = dst.Stride
   338  		sdelta = src.Stride
   339  	} else {
   340  		// If the source start point is higher than the destination start
   341  		// point, then we compose the rows in bottom-up order instead of
   342  		// top-down. Unlike the drawCopyOver function, we don't have to check
   343  		// the x coordinates because the built-in copy function can handle
   344  		// overlapping slices.
   345  		d0 += (dy - 1) * dst.Stride
   346  		s0 += (dy - 1) * src.Stride
   347  		ddelta = -dst.Stride
   348  		sdelta = -src.Stride
   349  	}
   350  	for ; dy > 0; dy-- {
   351  		copy(dst.Pix[d0:d0+n], src.Pix[s0:s0+n])
   352  		d0 += ddelta
   353  		s0 += sdelta
   354  	}
   355  }
   356  
   357  func drawNRGBAOver(dst *image.RGBA, r image.Rectangle, src *image.NRGBA, sp image.Point) {
   358  	i0 := (r.Min.X - dst.Rect.Min.X) * 4
   359  	i1 := (r.Max.X - dst.Rect.Min.X) * 4
   360  	si0 := (sp.X - src.Rect.Min.X) * 4
   361  	yMax := r.Max.Y - dst.Rect.Min.Y
   362  
   363  	y := r.Min.Y - dst.Rect.Min.Y
   364  	sy := sp.Y - src.Rect.Min.Y
   365  	for ; y != yMax; y, sy = y+1, sy+1 {
   366  		dpix := dst.Pix[y*dst.Stride:]
   367  		spix := src.Pix[sy*src.Stride:]
   368  
   369  		for i, si := i0, si0; i < i1; i, si = i+4, si+4 {
   370  			// Convert from non-premultiplied color to pre-multiplied color.
   371  			sa := uint32(spix[si+3]) * 0x101
   372  			sr := uint32(spix[si+0]) * sa / 0xff
   373  			sg := uint32(spix[si+1]) * sa / 0xff
   374  			sb := uint32(spix[si+2]) * sa / 0xff
   375  
   376  			dr := uint32(dpix[i+0])
   377  			dg := uint32(dpix[i+1])
   378  			db := uint32(dpix[i+2])
   379  			da := uint32(dpix[i+3])
   380  
   381  			// The 0x101 is here for the same reason as in drawRGBA.
   382  			a := (m - sa) * 0x101
   383  
   384  			dpix[i+0] = uint8((dr*a/m + sr) >> 8)
   385  			dpix[i+1] = uint8((dg*a/m + sg) >> 8)
   386  			dpix[i+2] = uint8((db*a/m + sb) >> 8)
   387  			dpix[i+3] = uint8((da*a/m + sa) >> 8)
   388  		}
   389  	}
   390  }
   391  
   392  func drawNRGBASrc(dst *image.RGBA, r image.Rectangle, src *image.NRGBA, sp image.Point) {
   393  	i0 := (r.Min.X - dst.Rect.Min.X) * 4
   394  	i1 := (r.Max.X - dst.Rect.Min.X) * 4
   395  	si0 := (sp.X - src.Rect.Min.X) * 4
   396  	yMax := r.Max.Y - dst.Rect.Min.Y
   397  
   398  	y := r.Min.Y - dst.Rect.Min.Y
   399  	sy := sp.Y - src.Rect.Min.Y
   400  	for ; y != yMax; y, sy = y+1, sy+1 {
   401  		dpix := dst.Pix[y*dst.Stride:]
   402  		spix := src.Pix[sy*src.Stride:]
   403  
   404  		for i, si := i0, si0; i < i1; i, si = i+4, si+4 {
   405  			// Convert from non-premultiplied color to pre-multiplied color.
   406  			sa := uint32(spix[si+3]) * 0x101
   407  			sr := uint32(spix[si+0]) * sa / 0xff
   408  			sg := uint32(spix[si+1]) * sa / 0xff
   409  			sb := uint32(spix[si+2]) * sa / 0xff
   410  
   411  			dpix[i+0] = uint8(sr >> 8)
   412  			dpix[i+1] = uint8(sg >> 8)
   413  			dpix[i+2] = uint8(sb >> 8)
   414  			dpix[i+3] = uint8(sa >> 8)
   415  		}
   416  	}
   417  }
   418  
   419  func drawGray(dst *image.RGBA, r image.Rectangle, src *image.Gray, sp image.Point) {
   420  	i0 := (r.Min.X - dst.Rect.Min.X) * 4
   421  	i1 := (r.Max.X - dst.Rect.Min.X) * 4
   422  	si0 := (sp.X - src.Rect.Min.X) * 1
   423  	yMax := r.Max.Y - dst.Rect.Min.Y
   424  
   425  	y := r.Min.Y - dst.Rect.Min.Y
   426  	sy := sp.Y - src.Rect.Min.Y
   427  	for ; y != yMax; y, sy = y+1, sy+1 {
   428  		dpix := dst.Pix[y*dst.Stride:]
   429  		spix := src.Pix[sy*src.Stride:]
   430  
   431  		for i, si := i0, si0; i < i1; i, si = i+4, si+1 {
   432  			p := spix[si]
   433  			dpix[i+0] = p
   434  			dpix[i+1] = p
   435  			dpix[i+2] = p
   436  			dpix[i+3] = 255
   437  		}
   438  	}
   439  }
   440  
   441  func drawCMYK(dst *image.RGBA, r image.Rectangle, src *image.CMYK, sp image.Point) {
   442  	i0 := (r.Min.X - dst.Rect.Min.X) * 4
   443  	i1 := (r.Max.X - dst.Rect.Min.X) * 4
   444  	si0 := (sp.X - src.Rect.Min.X) * 4
   445  	yMax := r.Max.Y - dst.Rect.Min.Y
   446  
   447  	y := r.Min.Y - dst.Rect.Min.Y
   448  	sy := sp.Y - src.Rect.Min.Y
   449  	for ; y != yMax; y, sy = y+1, sy+1 {
   450  		dpix := dst.Pix[y*dst.Stride:]
   451  		spix := src.Pix[sy*src.Stride:]
   452  
   453  		for i, si := i0, si0; i < i1; i, si = i+4, si+4 {
   454  			dpix[i+0], dpix[i+1], dpix[i+2] =
   455  				color.CMYKToRGB(spix[si+0], spix[si+1], spix[si+2], spix[si+3])
   456  			dpix[i+3] = 255
   457  		}
   458  	}
   459  }
   460  
   461  func drawGlyphOver(dst *image.RGBA, r image.Rectangle, src *image.Uniform, mask *image.Alpha, mp image.Point) {
   462  	i0 := dst.PixOffset(r.Min.X, r.Min.Y)
   463  	i1 := i0 + r.Dx()*4
   464  	mi0 := mask.PixOffset(mp.X, mp.Y)
   465  	sr, sg, sb, sa := src.RGBA()
   466  	for y, my := r.Min.Y, mp.Y; y != r.Max.Y; y, my = y+1, my+1 {
   467  		for i, mi := i0, mi0; i < i1; i, mi = i+4, mi+1 {
   468  			ma := uint32(mask.Pix[mi])
   469  			if ma == 0 {
   470  				continue
   471  			}
   472  			ma |= ma << 8
   473  
   474  			dr := &dst.Pix[i+0]
   475  			dg := &dst.Pix[i+1]
   476  			db := &dst.Pix[i+2]
   477  			da := &dst.Pix[i+3]
   478  
   479  			// The 0x101 is here for the same reason as in drawRGBA.
   480  			a := (m - (sa * ma / m)) * 0x101
   481  
   482  			*dr = uint8((uint32(*dr)*a + sr*ma) / m >> 8)
   483  			*dg = uint8((uint32(*dg)*a + sg*ma) / m >> 8)
   484  			*db = uint8((uint32(*db)*a + sb*ma) / m >> 8)
   485  			*da = uint8((uint32(*da)*a + sa*ma) / m >> 8)
   486  		}
   487  		i0 += dst.Stride
   488  		i1 += dst.Stride
   489  		mi0 += mask.Stride
   490  	}
   491  }
   492  
   493  func drawRGBA(dst *image.RGBA, r image.Rectangle, src image.Image, sp image.Point, mask image.Image, mp image.Point, op Op) {
   494  	x0, x1, dx := r.Min.X, r.Max.X, 1
   495  	y0, y1, dy := r.Min.Y, r.Max.Y, 1
   496  	if image.Image(dst) == src && r.Overlaps(r.Add(sp.Sub(r.Min))) {
   497  		if sp.Y < r.Min.Y || sp.Y == r.Min.Y && sp.X < r.Min.X {
   498  			x0, x1, dx = x1-1, x0-1, -1
   499  			y0, y1, dy = y1-1, y0-1, -1
   500  		}
   501  	}
   502  
   503  	sy := sp.Y + y0 - r.Min.Y
   504  	my := mp.Y + y0 - r.Min.Y
   505  	sx0 := sp.X + x0 - r.Min.X
   506  	mx0 := mp.X + x0 - r.Min.X
   507  	sx1 := sx0 + (x1 - x0)
   508  	i0 := dst.PixOffset(x0, y0)
   509  	di := dx * 4
   510  	for y := y0; y != y1; y, sy, my = y+dy, sy+dy, my+dy {
   511  		for i, sx, mx := i0, sx0, mx0; sx != sx1; i, sx, mx = i+di, sx+dx, mx+dx {
   512  			ma := uint32(m)
   513  			if mask != nil {
   514  				_, _, _, ma = mask.At(mx, my).RGBA()
   515  			}
   516  			sr, sg, sb, sa := src.At(sx, sy).RGBA()
   517  			if op == Over {
   518  				dr := uint32(dst.Pix[i+0])
   519  				dg := uint32(dst.Pix[i+1])
   520  				db := uint32(dst.Pix[i+2])
   521  				da := uint32(dst.Pix[i+3])
   522  
   523  				// dr, dg, db and da are all 8-bit color at the moment, ranging in [0,255].
   524  				// We work in 16-bit color, and so would normally do:
   525  				// dr |= dr << 8
   526  				// and similarly for dg, db and da, but instead we multiply a
   527  				// (which is a 16-bit color, ranging in [0,65535]) by 0x101.
   528  				// This yields the same result, but is fewer arithmetic operations.
   529  				a := (m - (sa * ma / m)) * 0x101
   530  
   531  				dst.Pix[i+0] = uint8((dr*a + sr*ma) / m >> 8)
   532  				dst.Pix[i+1] = uint8((dg*a + sg*ma) / m >> 8)
   533  				dst.Pix[i+2] = uint8((db*a + sb*ma) / m >> 8)
   534  				dst.Pix[i+3] = uint8((da*a + sa*ma) / m >> 8)
   535  
   536  			} else {
   537  				dst.Pix[i+0] = uint8(sr * ma / m >> 8)
   538  				dst.Pix[i+1] = uint8(sg * ma / m >> 8)
   539  				dst.Pix[i+2] = uint8(sb * ma / m >> 8)
   540  				dst.Pix[i+3] = uint8(sa * ma / m >> 8)
   541  			}
   542  		}
   543  		i0 += dy * dst.Stride
   544  	}
   545  }
   546  
   547  // clamp clamps i to the interval [0, 0xffff].
   548  func clamp(i int32) int32 {
   549  	if i < 0 {
   550  		return 0
   551  	}
   552  	if i > 0xffff {
   553  		return 0xffff
   554  	}
   555  	return i
   556  }
   557  
   558  // sqDiff returns the squared-difference of x and y, shifted by 2 so that
   559  // adding four of those won't overflow a uint32.
   560  //
   561  // x and y are both assumed to be in the range [0, 0xffff].
   562  func sqDiff(x, y int32) uint32 {
   563  	var d uint32
   564  	if x > y {
   565  		d = uint32(x - y)
   566  	} else {
   567  		d = uint32(y - x)
   568  	}
   569  	return (d * d) >> 2
   570  }
   571  
   572  func drawPaletted(dst Image, r image.Rectangle, src image.Image, sp image.Point, floydSteinberg bool) {
   573  	// TODO(nigeltao): handle the case where the dst and src overlap.
   574  	// Does it even make sense to try and do Floyd-Steinberg whilst
   575  	// walking the image backward (right-to-left bottom-to-top)?
   576  
   577  	// If dst is an *image.Paletted, we have a fast path for dst.Set and
   578  	// dst.At. The dst.Set equivalent is a batch version of the algorithm
   579  	// used by color.Palette's Index method in image/color/color.go, plus
   580  	// optional Floyd-Steinberg error diffusion.
   581  	palette, pix, stride := [][4]int32(nil), []byte(nil), 0
   582  	if p, ok := dst.(*image.Paletted); ok {
   583  		palette = make([][4]int32, len(p.Palette))
   584  		for i, col := range p.Palette {
   585  			r, g, b, a := col.RGBA()
   586  			palette[i][0] = int32(r)
   587  			palette[i][1] = int32(g)
   588  			palette[i][2] = int32(b)
   589  			palette[i][3] = int32(a)
   590  		}
   591  		pix, stride = p.Pix[p.PixOffset(r.Min.X, r.Min.Y):], p.Stride
   592  	}
   593  
   594  	// quantErrorCurr and quantErrorNext are the Floyd-Steinberg quantization
   595  	// errors that have been propagated to the pixels in the current and next
   596  	// rows. The +2 simplifies calculation near the edges.
   597  	var quantErrorCurr, quantErrorNext [][4]int32
   598  	if floydSteinberg {
   599  		quantErrorCurr = make([][4]int32, r.Dx()+2)
   600  		quantErrorNext = make([][4]int32, r.Dx()+2)
   601  	}
   602  
   603  	// Loop over each source pixel.
   604  	out := color.RGBA64{A: 0xffff}
   605  	for y := 0; y != r.Dy(); y++ {
   606  		for x := 0; x != r.Dx(); x++ {
   607  			// er, eg and eb are the pixel's R,G,B values plus the
   608  			// optional Floyd-Steinberg error.
   609  			sr, sg, sb, sa := src.At(sp.X+x, sp.Y+y).RGBA()
   610  			er, eg, eb, ea := int32(sr), int32(sg), int32(sb), int32(sa)
   611  			if floydSteinberg {
   612  				er = clamp(er + quantErrorCurr[x+1][0]/16)
   613  				eg = clamp(eg + quantErrorCurr[x+1][1]/16)
   614  				eb = clamp(eb + quantErrorCurr[x+1][2]/16)
   615  				ea = clamp(ea + quantErrorCurr[x+1][3]/16)
   616  			}
   617  
   618  			if palette != nil {
   619  				// Find the closest palette color in Euclidean R,G,B,A space:
   620  				// the one that minimizes sum-squared-difference.
   621  				// TODO(nigeltao): consider smarter algorithms.
   622  				bestIndex, bestSum := 0, uint32(1<<32-1)
   623  				for index, p := range palette {
   624  					sum := sqDiff(er, p[0]) + sqDiff(eg, p[1]) + sqDiff(eb, p[2]) + sqDiff(ea, p[3])
   625  					if sum < bestSum {
   626  						bestIndex, bestSum = index, sum
   627  						if sum == 0 {
   628  							break
   629  						}
   630  					}
   631  				}
   632  				pix[y*stride+x] = byte(bestIndex)
   633  
   634  				if !floydSteinberg {
   635  					continue
   636  				}
   637  				er -= palette[bestIndex][0]
   638  				eg -= palette[bestIndex][1]
   639  				eb -= palette[bestIndex][2]
   640  				ea -= palette[bestIndex][3]
   641  
   642  			} else {
   643  				out.R = uint16(er)
   644  				out.G = uint16(eg)
   645  				out.B = uint16(eb)
   646  				out.A = uint16(ea)
   647  				// The third argument is &out instead of out (and out is
   648  				// declared outside of the inner loop) to avoid the implicit
   649  				// conversion to color.Color here allocating memory in the
   650  				// inner loop if sizeof(color.RGBA64) > sizeof(uintptr).
   651  				dst.Set(r.Min.X+x, r.Min.Y+y, &out)
   652  
   653  				if !floydSteinberg {
   654  					continue
   655  				}
   656  				sr, sg, sb, sa = dst.At(r.Min.X+x, r.Min.Y+y).RGBA()
   657  				er -= int32(sr)
   658  				eg -= int32(sg)
   659  				eb -= int32(sb)
   660  				ea -= int32(sa)
   661  			}
   662  
   663  			// Propagate the Floyd-Steinberg quantization error.
   664  			quantErrorNext[x+0][0] += er * 3
   665  			quantErrorNext[x+0][1] += eg * 3
   666  			quantErrorNext[x+0][2] += eb * 3
   667  			quantErrorNext[x+0][3] += ea * 3
   668  			quantErrorNext[x+1][0] += er * 5
   669  			quantErrorNext[x+1][1] += eg * 5
   670  			quantErrorNext[x+1][2] += eb * 5
   671  			quantErrorNext[x+1][3] += ea * 5
   672  			quantErrorNext[x+2][0] += er * 1
   673  			quantErrorNext[x+2][1] += eg * 1
   674  			quantErrorNext[x+2][2] += eb * 1
   675  			quantErrorNext[x+2][3] += ea * 1
   676  			quantErrorCurr[x+2][0] += er * 7
   677  			quantErrorCurr[x+2][1] += eg * 7
   678  			quantErrorCurr[x+2][2] += eb * 7
   679  			quantErrorCurr[x+2][3] += ea * 7
   680  		}
   681  
   682  		// Recycle the quantization error buffers.
   683  		if floydSteinberg {
   684  			quantErrorCurr, quantErrorNext = quantErrorNext, quantErrorCurr
   685  			for i := range quantErrorNext {
   686  				quantErrorNext[i] = [4]int32{}
   687  			}
   688  		}
   689  	}
   690  }