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This commit is contained in:
TwinProduction
2021-08-21 17:38:23 -04:00
committed by Chris
parent bab69478dd
commit 470e3a3ebc
140 changed files with 26995 additions and 106 deletions
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3
vendor/golang.org/x/image/AUTHORS generated vendored Normal file
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# This source code refers to The Go Authors for copyright purposes.
# The master list of authors is in the main Go distribution,
# visible at http://tip.golang.org/AUTHORS.

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# This source code was written by the Go contributors.
# The master list of contributors is in the main Go distribution,
# visible at http://tip.golang.org/CONTRIBUTORS.

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Copyright (c) 2009 The Go Authors. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the
distribution.
* Neither the name of Google Inc. nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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vendor/golang.org/x/image/PATENTS generated vendored Normal file
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Additional IP Rights Grant (Patents)
"This implementation" means the copyrightable works distributed by
Google as part of the Go project.
Google hereby grants to You a perpetual, worldwide, non-exclusive,
no-charge, royalty-free, irrevocable (except as stated in this section)
patent license to make, have made, use, offer to sell, sell, import,
transfer and otherwise run, modify and propagate the contents of this
implementation of Go, where such license applies only to those patent
claims, both currently owned or controlled by Google and acquired in
the future, licensable by Google that are necessarily infringed by this
implementation of Go. This grant does not include claims that would be
infringed only as a consequence of further modification of this
implementation. If you or your agent or exclusive licensee institute or
order or agree to the institution of patent litigation against any
entity (including a cross-claim or counterclaim in a lawsuit) alleging
that this implementation of Go or any code incorporated within this
implementation of Go constitutes direct or contributory patent
infringement, or inducement of patent infringement, then any patent
rights granted to you under this License for this implementation of Go
shall terminate as of the date such litigation is filed.

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// Copyright 2015 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 draw provides image composition functions.
//
// See "The Go image/draw package" for an introduction to this package:
// http://golang.org/doc/articles/image_draw.html
//
// This package is a superset of and a drop-in replacement for the image/draw
// package in the standard library.
package draw
// This file just contains the API exported by the image/draw package in the
// standard library. Other files in this package provide additional features.
import (
"image"
"image/draw"
)
// Draw calls DrawMask with a nil mask.
func Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point, op Op) {
draw.Draw(dst, r, src, sp, draw.Op(op))
}
// DrawMask aligns r.Min in dst with sp in src and mp in mask and then
// replaces the rectangle r in dst with the result of a Porter-Duff
// composition. A nil mask is treated as opaque.
func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mask image.Image, mp image.Point, op Op) {
draw.DrawMask(dst, r, src, sp, mask, mp, draw.Op(op))
}
// Drawer contains the Draw method.
type Drawer = draw.Drawer
// FloydSteinberg is a Drawer that is the Src Op with Floyd-Steinberg error
// diffusion.
var FloydSteinberg Drawer = floydSteinberg{}
type floydSteinberg struct{}
func (floydSteinberg) Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point) {
draw.FloydSteinberg.Draw(dst, r, src, sp)
}
// Image is an image.Image with a Set method to change a single pixel.
type Image = draw.Image
// Op is a Porter-Duff compositing operator.
type Op = draw.Op
const (
// Over specifies ``(src in mask) over dst''.
Over Op = draw.Over
// Src specifies ``src in mask''.
Src Op = draw.Src
)
// Quantizer produces a palette for an image.
type Quantizer = draw.Quantizer

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vendor/golang.org/x/image/draw/draw_go117.go generated vendored Normal file
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// Copyright 2021 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.
//go:build go1.17
// +build go1.17
package draw
import (
"image/draw"
)
// The package documentation, in draw.go, gives the intent of this package:
//
// This package is a superset of and a drop-in replacement for the
// image/draw package in the standard library.
//
// "Drop-in replacement" means that we use type aliases in this file.
//
// TODO: move the type aliases to draw.go once Go 1.16 is no longer supported.
// RGBA64Image extends both the Image and image.RGBA64Image interfaces with a
// SetRGBA64 method to change a single pixel. SetRGBA64 is equivalent to
// calling Set, but it can avoid allocations from converting concrete color
// types to the color.Color interface type.
type RGBA64Image = draw.RGBA64Image

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// Copyright 2015 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.
//go:generate go run gen.go
package draw
import (
"image"
"image/color"
"math"
"sync"
"golang.org/x/image/math/f64"
)
// Copy copies the part of the source image defined by src and sr and writes
// the result of a Porter-Duff composition to the part of the destination image
// defined by dst and the translation of sr so that sr.Min translates to dp.
func Copy(dst Image, dp image.Point, src image.Image, sr image.Rectangle, op Op, opts *Options) {
var o Options
if opts != nil {
o = *opts
}
dr := sr.Add(dp.Sub(sr.Min))
if o.DstMask == nil {
DrawMask(dst, dr, src, sr.Min, o.SrcMask, o.SrcMaskP.Add(sr.Min), op)
} else {
NearestNeighbor.Scale(dst, dr, src, sr, op, opts)
}
}
// Scaler scales the part of the source image defined by src and sr and writes
// the result of a Porter-Duff composition to the part of the destination image
// defined by dst and dr.
//
// A Scaler is safe to use concurrently.
type Scaler interface {
Scale(dst Image, dr image.Rectangle, src image.Image, sr image.Rectangle, op Op, opts *Options)
}
// Transformer transforms the part of the source image defined by src and sr
// and writes the result of a Porter-Duff composition to the part of the
// destination image defined by dst and the affine transform m applied to sr.
//
// For example, if m is the matrix
//
// m00 m01 m02
// m10 m11 m12
//
// then the src-space point (sx, sy) maps to the dst-space point
// (m00*sx + m01*sy + m02, m10*sx + m11*sy + m12).
//
// A Transformer is safe to use concurrently.
type Transformer interface {
Transform(dst Image, m f64.Aff3, src image.Image, sr image.Rectangle, op Op, opts *Options)
}
// Options are optional parameters to Copy, Scale and Transform.
//
// A nil *Options means to use the default (zero) values of each field.
type Options struct {
// Masks limit what parts of the dst image are drawn to and what parts of
// the src image are drawn from.
//
// A dst or src mask image having a zero alpha (transparent) pixel value in
// the respective coordinate space means that dst pixel is entirely
// unaffected or that src pixel is considered transparent black. A full
// alpha (opaque) value means that the dst pixel is maximally affected or
// the src pixel contributes maximally. The default values, nil, are
// equivalent to fully opaque, infinitely large mask images.
//
// The DstMask is otherwise known as a clip mask, and its pixels map 1:1 to
// the dst image's pixels. DstMaskP in DstMask space corresponds to
// image.Point{X:0, Y:0} in dst space. For example, when limiting
// repainting to a 'dirty rectangle', use that image.Rectangle and a zero
// image.Point as the DstMask and DstMaskP.
//
// The SrcMask's pixels map 1:1 to the src image's pixels. SrcMaskP in
// SrcMask space corresponds to image.Point{X:0, Y:0} in src space. For
// example, when drawing font glyphs in a uniform color, use an
// *image.Uniform as the src, and use the glyph atlas image and the
// per-glyph offset as SrcMask and SrcMaskP:
// Copy(dst, dp, image.NewUniform(color), image.Rect(0, 0, glyphWidth, glyphHeight), &Options{
// SrcMask: glyphAtlas,
// SrcMaskP: glyphOffset,
// })
DstMask image.Image
DstMaskP image.Point
SrcMask image.Image
SrcMaskP image.Point
// TODO: a smooth vs sharp edges option, for arbitrary rotations?
}
// Interpolator is an interpolation algorithm, when dst and src pixels don't
// have a 1:1 correspondence.
//
// Of the interpolators provided by this package:
// - NearestNeighbor is fast but usually looks worst.
// - CatmullRom is slow but usually looks best.
// - ApproxBiLinear has reasonable speed and quality.
//
// The time taken depends on the size of dr. For kernel interpolators, the
// speed also depends on the size of sr, and so are often slower than
// non-kernel interpolators, especially when scaling down.
type Interpolator interface {
Scaler
Transformer
}
// Kernel is an interpolator that blends source pixels weighted by a symmetric
// kernel function.
type Kernel struct {
// Support is the kernel support and must be >= 0. At(t) is assumed to be
// zero when t >= Support.
Support float64
// At is the kernel function. It will only be called with t in the
// range [0, Support).
At func(t float64) float64
}
// Scale implements the Scaler interface.
func (q *Kernel) Scale(dst Image, dr image.Rectangle, src image.Image, sr image.Rectangle, op Op, opts *Options) {
q.newScaler(dr.Dx(), dr.Dy(), sr.Dx(), sr.Dy(), false).Scale(dst, dr, src, sr, op, opts)
}
// NewScaler returns a Scaler that is optimized for scaling multiple times with
// the same fixed destination and source width and height.
func (q *Kernel) NewScaler(dw, dh, sw, sh int) Scaler {
return q.newScaler(dw, dh, sw, sh, true)
}
func (q *Kernel) newScaler(dw, dh, sw, sh int, usePool bool) Scaler {
z := &kernelScaler{
kernel: q,
dw: int32(dw),
dh: int32(dh),
sw: int32(sw),
sh: int32(sh),
horizontal: newDistrib(q, int32(dw), int32(sw)),
vertical: newDistrib(q, int32(dh), int32(sh)),
}
if usePool {
z.pool.New = func() interface{} {
tmp := z.makeTmpBuf()
return &tmp
}
}
return z
}
var (
// NearestNeighbor is the nearest neighbor interpolator. It is very fast,
// but usually gives very low quality results. When scaling up, the result
// will look 'blocky'.
NearestNeighbor = Interpolator(nnInterpolator{})
// ApproxBiLinear is a mixture of the nearest neighbor and bi-linear
// interpolators. It is fast, but usually gives medium quality results.
//
// It implements bi-linear interpolation when upscaling and a bi-linear
// blend of the 4 nearest neighbor pixels when downscaling. This yields
// nicer quality than nearest neighbor interpolation when upscaling, but
// the time taken is independent of the number of source pixels, unlike the
// bi-linear interpolator. When downscaling a large image, the performance
// difference can be significant.
ApproxBiLinear = Interpolator(ablInterpolator{})
// BiLinear is the tent kernel. It is slow, but usually gives high quality
// results.
BiLinear = &Kernel{1, func(t float64) float64 {
return 1 - t
}}
// CatmullRom is the Catmull-Rom kernel. It is very slow, but usually gives
// very high quality results.
//
// It is an instance of the more general cubic BC-spline kernel with parameters
// B=0 and C=0.5. See Mitchell and Netravali, "Reconstruction Filters in
// Computer Graphics", Computer Graphics, Vol. 22, No. 4, pp. 221-228.
CatmullRom = &Kernel{2, func(t float64) float64 {
if t < 1 {
return (1.5*t-2.5)*t*t + 1
}
return ((-0.5*t+2.5)*t-4)*t + 2
}}
// TODO: a Kaiser-Bessel kernel?
)
type nnInterpolator struct{}
type ablInterpolator struct{}
type kernelScaler struct {
kernel *Kernel
dw, dh, sw, sh int32
horizontal, vertical distrib
pool sync.Pool
}
func (z *kernelScaler) makeTmpBuf() [][4]float64 {
return make([][4]float64, z.dw*z.sh)
}
// source is a range of contribs, their inverse total weight, and that ITW
// divided by 0xffff.
type source struct {
i, j int32
invTotalWeight float64
invTotalWeightFFFF float64
}
// contrib is the weight of a column or row.
type contrib struct {
coord int32
weight float64
}
// distrib measures how source pixels are distributed over destination pixels.
type distrib struct {
// sources are what contribs each column or row in the source image owns,
// and the total weight of those contribs.
sources []source
// contribs are the contributions indexed by sources[s].i and sources[s].j.
contribs []contrib
}
// newDistrib returns a distrib that distributes sw source columns (or rows)
// over dw destination columns (or rows).
func newDistrib(q *Kernel, dw, sw int32) distrib {
scale := float64(sw) / float64(dw)
halfWidth, kernelArgScale := q.Support, 1.0
// When shrinking, broaden the effective kernel support so that we still
// visit every source pixel.
if scale > 1 {
halfWidth *= scale
kernelArgScale = 1 / scale
}
// Make the sources slice, one source for each column or row, and temporarily
// appropriate its elements' fields so that invTotalWeight is the scaled
// coordinate of the source column or row, and i and j are the lower and
// upper bounds of the range of destination columns or rows affected by the
// source column or row.
n, sources := int32(0), make([]source, dw)
for x := range sources {
center := (float64(x)+0.5)*scale - 0.5
i := int32(math.Floor(center - halfWidth))
if i < 0 {
i = 0
}
j := int32(math.Ceil(center + halfWidth))
if j > sw {
j = sw
if j < i {
j = i
}
}
sources[x] = source{i: i, j: j, invTotalWeight: center}
n += j - i
}
contribs := make([]contrib, 0, n)
for k, b := range sources {
totalWeight := 0.0
l := int32(len(contribs))
for coord := b.i; coord < b.j; coord++ {
t := abs((b.invTotalWeight - float64(coord)) * kernelArgScale)
if t >= q.Support {
continue
}
weight := q.At(t)
if weight == 0 {
continue
}
totalWeight += weight
contribs = append(contribs, contrib{coord, weight})
}
totalWeight = 1 / totalWeight
sources[k] = source{
i: l,
j: int32(len(contribs)),
invTotalWeight: totalWeight,
invTotalWeightFFFF: totalWeight / 0xffff,
}
}
return distrib{sources, contribs}
}
// abs is like math.Abs, but it doesn't care about negative zero, infinities or
// NaNs.
func abs(f float64) float64 {
if f < 0 {
f = -f
}
return f
}
// ftou converts the range [0.0, 1.0] to [0, 0xffff].
func ftou(f float64) uint16 {
i := int32(0xffff*f + 0.5)
if i > 0xffff {
return 0xffff
}
if i > 0 {
return uint16(i)
}
return 0
}
// fffftou converts the range [0.0, 65535.0] to [0, 0xffff].
func fffftou(f float64) uint16 {
i := int32(f + 0.5)
if i > 0xffff {
return 0xffff
}
if i > 0 {
return uint16(i)
}
return 0
}
// invert returns the inverse of m.
//
// TODO: move this into the f64 package, once we work out the convention for
// matrix methods in that package: do they modify the receiver, take a dst
// pointer argument, or return a new value?
func invert(m *f64.Aff3) f64.Aff3 {
m00 := +m[3*1+1]
m01 := -m[3*0+1]
m02 := +m[3*1+2]*m[3*0+1] - m[3*1+1]*m[3*0+2]
m10 := -m[3*1+0]
m11 := +m[3*0+0]
m12 := +m[3*1+0]*m[3*0+2] - m[3*1+2]*m[3*0+0]
det := m00*m11 - m10*m01
return f64.Aff3{
m00 / det,
m01 / det,
m02 / det,
m10 / det,
m11 / det,
m12 / det,
}
}
func matMul(p, q *f64.Aff3) f64.Aff3 {
return f64.Aff3{
p[3*0+0]*q[3*0+0] + p[3*0+1]*q[3*1+0],
p[3*0+0]*q[3*0+1] + p[3*0+1]*q[3*1+1],
p[3*0+0]*q[3*0+2] + p[3*0+1]*q[3*1+2] + p[3*0+2],
p[3*1+0]*q[3*0+0] + p[3*1+1]*q[3*1+0],
p[3*1+0]*q[3*0+1] + p[3*1+1]*q[3*1+1],
p[3*1+0]*q[3*0+2] + p[3*1+1]*q[3*1+2] + p[3*1+2],
}
}
// transformRect returns a rectangle dr that contains sr transformed by s2d.
func transformRect(s2d *f64.Aff3, sr *image.Rectangle) (dr image.Rectangle) {
ps := [...]image.Point{
{sr.Min.X, sr.Min.Y},
{sr.Max.X, sr.Min.Y},
{sr.Min.X, sr.Max.Y},
{sr.Max.X, sr.Max.Y},
}
for i, p := range ps {
sxf := float64(p.X)
syf := float64(p.Y)
dx := int(math.Floor(s2d[0]*sxf + s2d[1]*syf + s2d[2]))
dy := int(math.Floor(s2d[3]*sxf + s2d[4]*syf + s2d[5]))
// The +1 adjustments below are because an image.Rectangle is inclusive
// on the low end but exclusive on the high end.
if i == 0 {
dr = image.Rectangle{
Min: image.Point{dx + 0, dy + 0},
Max: image.Point{dx + 1, dy + 1},
}
continue
}
if dr.Min.X > dx {
dr.Min.X = dx
}
dx++
if dr.Max.X < dx {
dr.Max.X = dx
}
if dr.Min.Y > dy {
dr.Min.Y = dy
}
dy++
if dr.Max.Y < dy {
dr.Max.Y = dy
}
}
return dr
}
func clipAffectedDestRect(adr image.Rectangle, dstMask image.Image, dstMaskP image.Point) (image.Rectangle, image.Image) {
if dstMask == nil {
return adr, nil
}
if r, ok := dstMask.(image.Rectangle); ok {
return adr.Intersect(r.Sub(dstMaskP)), nil
}
// TODO: clip to dstMask.Bounds() if the color model implies that out-of-bounds means 0 alpha?
return adr, dstMask
}
func transform_Uniform(dst Image, dr, adr image.Rectangle, d2s *f64.Aff3, src *image.Uniform, sr image.Rectangle, bias image.Point, op Op) {
switch op {
case Over:
switch dst := dst.(type) {
case *image.RGBA:
pr, pg, pb, pa := src.C.RGBA()
pa1 := (0xffff - pa) * 0x101
for dy := int32(adr.Min.Y); dy < int32(adr.Max.Y); dy++ {
dyf := float64(dr.Min.Y+int(dy)) + 0.5
d := dst.PixOffset(dr.Min.X+adr.Min.X, dr.Min.Y+int(dy))
for dx := int32(adr.Min.X); dx < int32(adr.Max.X); dx, d = dx+1, d+4 {
dxf := float64(dr.Min.X+int(dx)) + 0.5
sx0 := int(d2s[0]*dxf+d2s[1]*dyf+d2s[2]) + bias.X
sy0 := int(d2s[3]*dxf+d2s[4]*dyf+d2s[5]) + bias.Y
if !(image.Point{sx0, sy0}).In(sr) {
continue
}
dst.Pix[d+0] = uint8((uint32(dst.Pix[d+0])*pa1/0xffff + pr) >> 8)
dst.Pix[d+1] = uint8((uint32(dst.Pix[d+1])*pa1/0xffff + pg) >> 8)
dst.Pix[d+2] = uint8((uint32(dst.Pix[d+2])*pa1/0xffff + pb) >> 8)
dst.Pix[d+3] = uint8((uint32(dst.Pix[d+3])*pa1/0xffff + pa) >> 8)
}
}
default:
pr, pg, pb, pa := src.C.RGBA()
pa1 := 0xffff - pa
dstColorRGBA64 := &color.RGBA64{}
dstColor := color.Color(dstColorRGBA64)
for dy := int32(adr.Min.Y); dy < int32(adr.Max.Y); dy++ {
dyf := float64(dr.Min.Y+int(dy)) + 0.5
for dx := int32(adr.Min.X); dx < int32(adr.Max.X); dx++ {
dxf := float64(dr.Min.X+int(dx)) + 0.5
sx0 := int(d2s[0]*dxf+d2s[1]*dyf+d2s[2]) + bias.X
sy0 := int(d2s[3]*dxf+d2s[4]*dyf+d2s[5]) + bias.Y
if !(image.Point{sx0, sy0}).In(sr) {
continue
}
qr, qg, qb, qa := dst.At(dr.Min.X+int(dx), dr.Min.Y+int(dy)).RGBA()
dstColorRGBA64.R = uint16(qr*pa1/0xffff + pr)
dstColorRGBA64.G = uint16(qg*pa1/0xffff + pg)
dstColorRGBA64.B = uint16(qb*pa1/0xffff + pb)
dstColorRGBA64.A = uint16(qa*pa1/0xffff + pa)
dst.Set(dr.Min.X+int(dx), dr.Min.Y+int(dy), dstColor)
}
}
}
case Src:
switch dst := dst.(type) {
case *image.RGBA:
pr, pg, pb, pa := src.C.RGBA()
pr8 := uint8(pr >> 8)
pg8 := uint8(pg >> 8)
pb8 := uint8(pb >> 8)
pa8 := uint8(pa >> 8)
for dy := int32(adr.Min.Y); dy < int32(adr.Max.Y); dy++ {
dyf := float64(dr.Min.Y+int(dy)) + 0.5
d := dst.PixOffset(dr.Min.X+adr.Min.X, dr.Min.Y+int(dy))
for dx := int32(adr.Min.X); dx < int32(adr.Max.X); dx, d = dx+1, d+4 {
dxf := float64(dr.Min.X+int(dx)) + 0.5
sx0 := int(d2s[0]*dxf+d2s[1]*dyf+d2s[2]) + bias.X
sy0 := int(d2s[3]*dxf+d2s[4]*dyf+d2s[5]) + bias.Y
if !(image.Point{sx0, sy0}).In(sr) {
continue
}
dst.Pix[d+0] = pr8
dst.Pix[d+1] = pg8
dst.Pix[d+2] = pb8
dst.Pix[d+3] = pa8
}
}
default:
pr, pg, pb, pa := src.C.RGBA()
dstColorRGBA64 := &color.RGBA64{
uint16(pr),
uint16(pg),
uint16(pb),
uint16(pa),
}
dstColor := color.Color(dstColorRGBA64)
for dy := int32(adr.Min.Y); dy < int32(adr.Max.Y); dy++ {
dyf := float64(dr.Min.Y+int(dy)) + 0.5
for dx := int32(adr.Min.X); dx < int32(adr.Max.X); dx++ {
dxf := float64(dr.Min.X+int(dx)) + 0.5
sx0 := int(d2s[0]*dxf+d2s[1]*dyf+d2s[2]) + bias.X
sy0 := int(d2s[3]*dxf+d2s[4]*dyf+d2s[5]) + bias.Y
if !(image.Point{sx0, sy0}).In(sr) {
continue
}
dst.Set(dr.Min.X+int(dx), dr.Min.Y+int(dy), dstColor)
}
}
}
}
}
func opaque(m image.Image) bool {
o, ok := m.(interface {
Opaque() bool
})
return ok && o.Opaque()
}

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// Copyright 2015 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 font defines an interface for font faces, for drawing text on an
// image.
//
// Other packages provide font face implementations. For example, a truetype
// package would provide one based on .ttf font files.
package font // import "golang.org/x/image/font"
import (
"image"
"image/draw"
"io"
"unicode/utf8"
"golang.org/x/image/math/fixed"
)
// TODO: who is responsible for caches (glyph images, glyph indices, kerns)?
// The Drawer or the Face?
// Face is a font face. Its glyphs are often derived from a font file, such as
// "Comic_Sans_MS.ttf", but a face has a specific size, style, weight and
// hinting. For example, the 12pt and 18pt versions of Comic Sans are two
// different faces, even if derived from the same font file.
//
// A Face is not safe for concurrent use by multiple goroutines, as its methods
// may re-use implementation-specific caches and mask image buffers.
//
// To create a Face, look to other packages that implement specific font file
// formats.
type Face interface {
io.Closer
// Glyph returns the draw.DrawMask parameters (dr, mask, maskp) to draw r's
// glyph at the sub-pixel destination location dot, and that glyph's
// advance width.
//
// It returns !ok if the face does not contain a glyph for r.
//
// The contents of the mask image returned by one Glyph call may change
// after the next Glyph call. Callers that want to cache the mask must make
// a copy.
Glyph(dot fixed.Point26_6, r rune) (
dr image.Rectangle, mask image.Image, maskp image.Point, advance fixed.Int26_6, ok bool)
// GlyphBounds returns the bounding box of r's glyph, drawn at a dot equal
// to the origin, and that glyph's advance width.
//
// It returns !ok if the face does not contain a glyph for r.
//
// The glyph's ascent and descent are equal to -bounds.Min.Y and
// +bounds.Max.Y. The glyph's left-side and right-side bearings are equal
// to bounds.Min.X and advance-bounds.Max.X. A visual depiction of what
// these metrics are is at
// https://developer.apple.com/library/archive/documentation/TextFonts/Conceptual/CocoaTextArchitecture/Art/glyphterms_2x.png
GlyphBounds(r rune) (bounds fixed.Rectangle26_6, advance fixed.Int26_6, ok bool)
// GlyphAdvance returns the advance width of r's glyph.
//
// It returns !ok if the face does not contain a glyph for r.
GlyphAdvance(r rune) (advance fixed.Int26_6, ok bool)
// Kern returns the horizontal adjustment for the kerning pair (r0, r1). A
// positive kern means to move the glyphs further apart.
Kern(r0, r1 rune) fixed.Int26_6
// Metrics returns the metrics for this Face.
Metrics() Metrics
// TODO: ColoredGlyph for various emoji?
// TODO: Ligatures? Shaping?
}
// Metrics holds the metrics for a Face. A visual depiction is at
// https://developer.apple.com/library/mac/documentation/TextFonts/Conceptual/CocoaTextArchitecture/Art/glyph_metrics_2x.png
type Metrics struct {
// Height is the recommended amount of vertical space between two lines of
// text.
Height fixed.Int26_6
// Ascent is the distance from the top of a line to its baseline.
Ascent fixed.Int26_6
// Descent is the distance from the bottom of a line to its baseline. The
// value is typically positive, even though a descender goes below the
// baseline.
Descent fixed.Int26_6
// XHeight is the distance from the top of non-ascending lowercase letters
// to the baseline.
XHeight fixed.Int26_6
// CapHeight is the distance from the top of uppercase letters to the
// baseline.
CapHeight fixed.Int26_6
// CaretSlope is the slope of a caret as a vector with the Y axis pointing up.
// The slope {0, 1} is the vertical caret.
CaretSlope image.Point
}
// Drawer draws text on a destination image.
//
// A Drawer is not safe for concurrent use by multiple goroutines, since its
// Face is not.
type Drawer struct {
// Dst is the destination image.
Dst draw.Image
// Src is the source image.
Src image.Image
// Face provides the glyph mask images.
Face Face
// Dot is the baseline location to draw the next glyph. The majority of the
// affected pixels will be above and to the right of the dot, but some may
// be below or to the left. For example, drawing a 'j' in an italic face
// may affect pixels below and to the left of the dot.
Dot fixed.Point26_6
// TODO: Clip image.Image?
// TODO: SrcP image.Point for Src images other than *image.Uniform? How
// does it get updated during DrawString?
}
// TODO: should DrawString return the last rune drawn, so the next DrawString
// call can kern beforehand? Or should that be the responsibility of the caller
// if they really want to do that, since they have to explicitly shift d.Dot
// anyway? What if ligatures span more than two runes? What if grapheme
// clusters span multiple runes?
//
// TODO: do we assume that the input is in any particular Unicode Normalization
// Form?
//
// TODO: have DrawRunes(s []rune)? DrawRuneReader(io.RuneReader)?? If we take
// io.RuneReader, we can't assume that we can rewind the stream.
//
// TODO: how does this work with line breaking: drawing text up until a
// vertical line? Should DrawString return the number of runes drawn?
// DrawBytes draws s at the dot and advances the dot's location.
//
// It is equivalent to DrawString(string(s)) but may be more efficient.
func (d *Drawer) DrawBytes(s []byte) {
prevC := rune(-1)
for len(s) > 0 {
c, size := utf8.DecodeRune(s)
s = s[size:]
if prevC >= 0 {
d.Dot.X += d.Face.Kern(prevC, c)
}
dr, mask, maskp, advance, ok := d.Face.Glyph(d.Dot, c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
draw.DrawMask(d.Dst, dr, d.Src, image.Point{}, mask, maskp, draw.Over)
d.Dot.X += advance
prevC = c
}
}
// DrawString draws s at the dot and advances the dot's location.
func (d *Drawer) DrawString(s string) {
prevC := rune(-1)
for _, c := range s {
if prevC >= 0 {
d.Dot.X += d.Face.Kern(prevC, c)
}
dr, mask, maskp, advance, ok := d.Face.Glyph(d.Dot, c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
draw.DrawMask(d.Dst, dr, d.Src, image.Point{}, mask, maskp, draw.Over)
d.Dot.X += advance
prevC = c
}
}
// BoundBytes returns the bounding box of s, drawn at the drawer dot, as well as
// the advance.
//
// It is equivalent to BoundBytes(string(s)) but may be more efficient.
func (d *Drawer) BoundBytes(s []byte) (bounds fixed.Rectangle26_6, advance fixed.Int26_6) {
bounds, advance = BoundBytes(d.Face, s)
bounds.Min = bounds.Min.Add(d.Dot)
bounds.Max = bounds.Max.Add(d.Dot)
return
}
// BoundString returns the bounding box of s, drawn at the drawer dot, as well
// as the advance.
func (d *Drawer) BoundString(s string) (bounds fixed.Rectangle26_6, advance fixed.Int26_6) {
bounds, advance = BoundString(d.Face, s)
bounds.Min = bounds.Min.Add(d.Dot)
bounds.Max = bounds.Max.Add(d.Dot)
return
}
// MeasureBytes returns how far dot would advance by drawing s.
//
// It is equivalent to MeasureString(string(s)) but may be more efficient.
func (d *Drawer) MeasureBytes(s []byte) (advance fixed.Int26_6) {
return MeasureBytes(d.Face, s)
}
// MeasureString returns how far dot would advance by drawing s.
func (d *Drawer) MeasureString(s string) (advance fixed.Int26_6) {
return MeasureString(d.Face, s)
}
// BoundBytes returns the bounding box of s with f, drawn at a dot equal to the
// origin, as well as the advance.
//
// It is equivalent to BoundString(string(s)) but may be more efficient.
func BoundBytes(f Face, s []byte) (bounds fixed.Rectangle26_6, advance fixed.Int26_6) {
prevC := rune(-1)
for len(s) > 0 {
c, size := utf8.DecodeRune(s)
s = s[size:]
if prevC >= 0 {
advance += f.Kern(prevC, c)
}
b, a, ok := f.GlyphBounds(c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
b.Min.X += advance
b.Max.X += advance
bounds = bounds.Union(b)
advance += a
prevC = c
}
return
}
// BoundString returns the bounding box of s with f, drawn at a dot equal to the
// origin, as well as the advance.
func BoundString(f Face, s string) (bounds fixed.Rectangle26_6, advance fixed.Int26_6) {
prevC := rune(-1)
for _, c := range s {
if prevC >= 0 {
advance += f.Kern(prevC, c)
}
b, a, ok := f.GlyphBounds(c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
b.Min.X += advance
b.Max.X += advance
bounds = bounds.Union(b)
advance += a
prevC = c
}
return
}
// MeasureBytes returns how far dot would advance by drawing s with f.
//
// It is equivalent to MeasureString(string(s)) but may be more efficient.
func MeasureBytes(f Face, s []byte) (advance fixed.Int26_6) {
prevC := rune(-1)
for len(s) > 0 {
c, size := utf8.DecodeRune(s)
s = s[size:]
if prevC >= 0 {
advance += f.Kern(prevC, c)
}
a, ok := f.GlyphAdvance(c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
advance += a
prevC = c
}
return advance
}
// MeasureString returns how far dot would advance by drawing s with f.
func MeasureString(f Face, s string) (advance fixed.Int26_6) {
prevC := rune(-1)
for _, c := range s {
if prevC >= 0 {
advance += f.Kern(prevC, c)
}
a, ok := f.GlyphAdvance(c)
if !ok {
// TODO: is falling back on the U+FFFD glyph the responsibility of
// the Drawer or the Face?
// TODO: set prevC = '\ufffd'?
continue
}
advance += a
prevC = c
}
return advance
}
// Hinting selects how to quantize a vector font's glyph nodes.
//
// Not all fonts support hinting.
type Hinting int
const (
HintingNone Hinting = iota
HintingVertical
HintingFull
)
// Stretch selects a normal, condensed, or expanded face.
//
// Not all fonts support stretches.
type Stretch int
const (
StretchUltraCondensed Stretch = -4
StretchExtraCondensed Stretch = -3
StretchCondensed Stretch = -2
StretchSemiCondensed Stretch = -1
StretchNormal Stretch = +0
StretchSemiExpanded Stretch = +1
StretchExpanded Stretch = +2
StretchExtraExpanded Stretch = +3
StretchUltraExpanded Stretch = +4
)
// Style selects a normal, italic, or oblique face.
//
// Not all fonts support styles.
type Style int
const (
StyleNormal Style = iota
StyleItalic
StyleOblique
)
// Weight selects a normal, light or bold face.
//
// Not all fonts support weights.
//
// The named Weight constants (e.g. WeightBold) correspond to CSS' common
// weight names (e.g. "Bold"), but the numerical values differ, so that in Go,
// the zero value means to use a normal weight. For the CSS names and values,
// see https://developer.mozilla.org/en/docs/Web/CSS/font-weight
type Weight int
const (
WeightThin Weight = -3 // CSS font-weight value 100.
WeightExtraLight Weight = -2 // CSS font-weight value 200.
WeightLight Weight = -1 // CSS font-weight value 300.
WeightNormal Weight = +0 // CSS font-weight value 400.
WeightMedium Weight = +1 // CSS font-weight value 500.
WeightSemiBold Weight = +2 // CSS font-weight value 600.
WeightBold Weight = +3 // CSS font-weight value 700.
WeightExtraBold Weight = +4 // CSS font-weight value 800.
WeightBlack Weight = +5 // CSS font-weight value 900.
)

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// Copyright 2015 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 f64 implements float64 vector and matrix types.
package f64 // import "golang.org/x/image/math/f64"
// Vec2 is a 2-element vector.
type Vec2 [2]float64
// Vec3 is a 3-element vector.
type Vec3 [3]float64
// Vec4 is a 4-element vector.
type Vec4 [4]float64
// Mat3 is a 3x3 matrix in row major order.
//
// m[3*r + c] is the element in the r'th row and c'th column.
type Mat3 [9]float64
// Mat4 is a 4x4 matrix in row major order.
//
// m[4*r + c] is the element in the r'th row and c'th column.
type Mat4 [16]float64
// Aff3 is a 3x3 affine transformation matrix in row major order, where the
// bottom row is implicitly [0 0 1].
//
// m[3*r + c] is the element in the r'th row and c'th column.
type Aff3 [6]float64
// Aff4 is a 4x4 affine transformation matrix in row major order, where the
// bottom row is implicitly [0 0 0 1].
//
// m[4*r + c] is the element in the r'th row and c'th column.
type Aff4 [12]float64

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// Copyright 2015 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 fixed implements fixed-point integer types.
package fixed // import "golang.org/x/image/math/fixed"
import (
"fmt"
)
// TODO: implement fmt.Formatter for %f and %g.
// I returns the integer value i as an Int26_6.
//
// For example, passing the integer value 2 yields Int26_6(128).
func I(i int) Int26_6 {
return Int26_6(i << 6)
}
// Int26_6 is a signed 26.6 fixed-point number.
//
// The integer part ranges from -33554432 to 33554431, inclusive. The
// fractional part has 6 bits of precision.
//
// For example, the number one-and-a-quarter is Int26_6(1<<6 + 1<<4).
type Int26_6 int32
// String returns a human-readable representation of a 26.6 fixed-point number.
//
// For example, the number one-and-a-quarter becomes "1:16".
func (x Int26_6) String() string {
const shift, mask = 6, 1<<6 - 1
if x >= 0 {
return fmt.Sprintf("%d:%02d", int32(x>>shift), int32(x&mask))
}
x = -x
if x >= 0 {
return fmt.Sprintf("-%d:%02d", int32(x>>shift), int32(x&mask))
}
return "-33554432:00" // The minimum value is -(1<<25).
}
// Floor returns the greatest integer value less than or equal to x.
//
// Its return type is int, not Int26_6.
func (x Int26_6) Floor() int { return int((x + 0x00) >> 6) }
// Round returns the nearest integer value to x. Ties are rounded up.
//
// Its return type is int, not Int26_6.
func (x Int26_6) Round() int { return int((x + 0x20) >> 6) }
// Ceil returns the least integer value greater than or equal to x.
//
// Its return type is int, not Int26_6.
func (x Int26_6) Ceil() int { return int((x + 0x3f) >> 6) }
// Mul returns x*y in 26.6 fixed-point arithmetic.
func (x Int26_6) Mul(y Int26_6) Int26_6 {
return Int26_6((int64(x)*int64(y) + 1<<5) >> 6)
}
// Int52_12 is a signed 52.12 fixed-point number.
//
// The integer part ranges from -2251799813685248 to 2251799813685247,
// inclusive. The fractional part has 12 bits of precision.
//
// For example, the number one-and-a-quarter is Int52_12(1<<12 + 1<<10).
type Int52_12 int64
// String returns a human-readable representation of a 52.12 fixed-point
// number.
//
// For example, the number one-and-a-quarter becomes "1:1024".
func (x Int52_12) String() string {
const shift, mask = 12, 1<<12 - 1
if x >= 0 {
return fmt.Sprintf("%d:%04d", int64(x>>shift), int64(x&mask))
}
x = -x
if x >= 0 {
return fmt.Sprintf("-%d:%04d", int64(x>>shift), int64(x&mask))
}
return "-2251799813685248:0000" // The minimum value is -(1<<51).
}
// Floor returns the greatest integer value less than or equal to x.
//
// Its return type is int, not Int52_12.
func (x Int52_12) Floor() int { return int((x + 0x000) >> 12) }
// Round returns the nearest integer value to x. Ties are rounded up.
//
// Its return type is int, not Int52_12.
func (x Int52_12) Round() int { return int((x + 0x800) >> 12) }
// Ceil returns the least integer value greater than or equal to x.
//
// Its return type is int, not Int52_12.
func (x Int52_12) Ceil() int { return int((x + 0xfff) >> 12) }
// Mul returns x*y in 52.12 fixed-point arithmetic.
func (x Int52_12) Mul(y Int52_12) Int52_12 {
const M, N = 52, 12
lo, hi := muli64(int64(x), int64(y))
ret := Int52_12(hi<<M | lo>>N)
ret += Int52_12((lo >> (N - 1)) & 1) // Round to nearest, instead of rounding down.
return ret
}
// muli64 multiplies two int64 values, returning the 128-bit signed integer
// result as two uint64 values.
//
// This implementation is similar to $GOROOT/src/runtime/softfloat64.go's mullu
// function, which is in turn adapted from Hacker's Delight.
func muli64(u, v int64) (lo, hi uint64) {
const (
s = 32
mask = 1<<s - 1
)
u1 := uint64(u >> s)
u0 := uint64(u & mask)
v1 := uint64(v >> s)
v0 := uint64(v & mask)
w0 := u0 * v0
t := u1*v0 + w0>>s
w1 := t & mask
w2 := uint64(int64(t) >> s)
w1 += u0 * v1
return uint64(u) * uint64(v), u1*v1 + w2 + uint64(int64(w1)>>s)
}
// P returns the integer values x and y as a Point26_6.
//
// For example, passing the integer values (2, -3) yields Point26_6{128, -192}.
func P(x, y int) Point26_6 {
return Point26_6{Int26_6(x << 6), Int26_6(y << 6)}
}
// Point26_6 is a 26.6 fixed-point coordinate pair.
//
// It is analogous to the image.Point type in the standard library.
type Point26_6 struct {
X, Y Int26_6
}
// Add returns the vector p+q.
func (p Point26_6) Add(q Point26_6) Point26_6 {
return Point26_6{p.X + q.X, p.Y + q.Y}
}
// Sub returns the vector p-q.
func (p Point26_6) Sub(q Point26_6) Point26_6 {
return Point26_6{p.X - q.X, p.Y - q.Y}
}
// Mul returns the vector p*k.
func (p Point26_6) Mul(k Int26_6) Point26_6 {
return Point26_6{p.X * k / 64, p.Y * k / 64}
}
// Div returns the vector p/k.
func (p Point26_6) Div(k Int26_6) Point26_6 {
return Point26_6{p.X * 64 / k, p.Y * 64 / k}
}
// In returns whether p is in r.
func (p Point26_6) In(r Rectangle26_6) bool {
return r.Min.X <= p.X && p.X < r.Max.X && r.Min.Y <= p.Y && p.Y < r.Max.Y
}
// Point52_12 is a 52.12 fixed-point coordinate pair.
//
// It is analogous to the image.Point type in the standard library.
type Point52_12 struct {
X, Y Int52_12
}
// Add returns the vector p+q.
func (p Point52_12) Add(q Point52_12) Point52_12 {
return Point52_12{p.X + q.X, p.Y + q.Y}
}
// Sub returns the vector p-q.
func (p Point52_12) Sub(q Point52_12) Point52_12 {
return Point52_12{p.X - q.X, p.Y - q.Y}
}
// Mul returns the vector p*k.
func (p Point52_12) Mul(k Int52_12) Point52_12 {
return Point52_12{p.X * k / 4096, p.Y * k / 4096}
}
// Div returns the vector p/k.
func (p Point52_12) Div(k Int52_12) Point52_12 {
return Point52_12{p.X * 4096 / k, p.Y * 4096 / k}
}
// In returns whether p is in r.
func (p Point52_12) In(r Rectangle52_12) bool {
return r.Min.X <= p.X && p.X < r.Max.X && r.Min.Y <= p.Y && p.Y < r.Max.Y
}
// R returns the integer values minX, minY, maxX, maxY as a Rectangle26_6.
//
// For example, passing the integer values (0, 1, 2, 3) yields
// Rectangle26_6{Point26_6{0, 64}, Point26_6{128, 192}}.
//
// Like the image.Rect function in the standard library, the returned rectangle
// has minimum and maximum coordinates swapped if necessary so that it is
// well-formed.
func R(minX, minY, maxX, maxY int) Rectangle26_6 {
if minX > maxX {
minX, maxX = maxX, minX
}
if minY > maxY {
minY, maxY = maxY, minY
}
return Rectangle26_6{
Point26_6{
Int26_6(minX << 6),
Int26_6(minY << 6),
},
Point26_6{
Int26_6(maxX << 6),
Int26_6(maxY << 6),
},
}
}
// Rectangle26_6 is a 26.6 fixed-point coordinate rectangle. The Min bound is
// inclusive and the Max bound is exclusive. It is well-formed if Min.X <=
// Max.X and likewise for Y.
//
// It is analogous to the image.Rectangle type in the standard library.
type Rectangle26_6 struct {
Min, Max Point26_6
}
// Add returns the rectangle r translated by p.
func (r Rectangle26_6) Add(p Point26_6) Rectangle26_6 {
return Rectangle26_6{
Point26_6{r.Min.X + p.X, r.Min.Y + p.Y},
Point26_6{r.Max.X + p.X, r.Max.Y + p.Y},
}
}
// Sub returns the rectangle r translated by -p.
func (r Rectangle26_6) Sub(p Point26_6) Rectangle26_6 {
return Rectangle26_6{
Point26_6{r.Min.X - p.X, r.Min.Y - p.Y},
Point26_6{r.Max.X - p.X, r.Max.Y - p.Y},
}
}
// Intersect returns the largest rectangle contained by both r and s. If the
// two rectangles do not overlap then the zero rectangle will be returned.
func (r Rectangle26_6) Intersect(s Rectangle26_6) Rectangle26_6 {
if r.Min.X < s.Min.X {
r.Min.X = s.Min.X
}
if r.Min.Y < s.Min.Y {
r.Min.Y = s.Min.Y
}
if r.Max.X > s.Max.X {
r.Max.X = s.Max.X
}
if r.Max.Y > s.Max.Y {
r.Max.Y = s.Max.Y
}
// Letting r0 and s0 be the values of r and s at the time that the method
// is called, this next line is equivalent to:
//
// if max(r0.Min.X, s0.Min.X) >= min(r0.Max.X, s0.Max.X) || likewiseForY { etc }
if r.Empty() {
return Rectangle26_6{}
}
return r
}
// Union returns the smallest rectangle that contains both r and s.
func (r Rectangle26_6) Union(s Rectangle26_6) Rectangle26_6 {
if r.Empty() {
return s
}
if s.Empty() {
return r
}
if r.Min.X > s.Min.X {
r.Min.X = s.Min.X
}
if r.Min.Y > s.Min.Y {
r.Min.Y = s.Min.Y
}
if r.Max.X < s.Max.X {
r.Max.X = s.Max.X
}
if r.Max.Y < s.Max.Y {
r.Max.Y = s.Max.Y
}
return r
}
// Empty returns whether the rectangle contains no points.
func (r Rectangle26_6) Empty() bool {
return r.Min.X >= r.Max.X || r.Min.Y >= r.Max.Y
}
// In returns whether every point in r is in s.
func (r Rectangle26_6) In(s Rectangle26_6) bool {
if r.Empty() {
return true
}
// Note that r.Max is an exclusive bound for r, so that r.In(s)
// does not require that r.Max.In(s).
return s.Min.X <= r.Min.X && r.Max.X <= s.Max.X &&
s.Min.Y <= r.Min.Y && r.Max.Y <= s.Max.Y
}
// Rectangle52_12 is a 52.12 fixed-point coordinate rectangle. The Min bound is
// inclusive and the Max bound is exclusive. It is well-formed if Min.X <=
// Max.X and likewise for Y.
//
// It is analogous to the image.Rectangle type in the standard library.
type Rectangle52_12 struct {
Min, Max Point52_12
}
// Add returns the rectangle r translated by p.
func (r Rectangle52_12) Add(p Point52_12) Rectangle52_12 {
return Rectangle52_12{
Point52_12{r.Min.X + p.X, r.Min.Y + p.Y},
Point52_12{r.Max.X + p.X, r.Max.Y + p.Y},
}
}
// Sub returns the rectangle r translated by -p.
func (r Rectangle52_12) Sub(p Point52_12) Rectangle52_12 {
return Rectangle52_12{
Point52_12{r.Min.X - p.X, r.Min.Y - p.Y},
Point52_12{r.Max.X - p.X, r.Max.Y - p.Y},
}
}
// Intersect returns the largest rectangle contained by both r and s. If the
// two rectangles do not overlap then the zero rectangle will be returned.
func (r Rectangle52_12) Intersect(s Rectangle52_12) Rectangle52_12 {
if r.Min.X < s.Min.X {
r.Min.X = s.Min.X
}
if r.Min.Y < s.Min.Y {
r.Min.Y = s.Min.Y
}
if r.Max.X > s.Max.X {
r.Max.X = s.Max.X
}
if r.Max.Y > s.Max.Y {
r.Max.Y = s.Max.Y
}
// Letting r0 and s0 be the values of r and s at the time that the method
// is called, this next line is equivalent to:
//
// if max(r0.Min.X, s0.Min.X) >= min(r0.Max.X, s0.Max.X) || likewiseForY { etc }
if r.Empty() {
return Rectangle52_12{}
}
return r
}
// Union returns the smallest rectangle that contains both r and s.
func (r Rectangle52_12) Union(s Rectangle52_12) Rectangle52_12 {
if r.Empty() {
return s
}
if s.Empty() {
return r
}
if r.Min.X > s.Min.X {
r.Min.X = s.Min.X
}
if r.Min.Y > s.Min.Y {
r.Min.Y = s.Min.Y
}
if r.Max.X < s.Max.X {
r.Max.X = s.Max.X
}
if r.Max.Y < s.Max.Y {
r.Max.Y = s.Max.Y
}
return r
}
// Empty returns whether the rectangle contains no points.
func (r Rectangle52_12) Empty() bool {
return r.Min.X >= r.Max.X || r.Min.Y >= r.Max.Y
}
// In returns whether every point in r is in s.
func (r Rectangle52_12) In(s Rectangle52_12) bool {
if r.Empty() {
return true
}
// Note that r.Max is an exclusive bound for r, so that r.In(s)
// does not require that r.Max.In(s).
return s.Min.X <= r.Min.X && r.Max.X <= s.Max.X &&
s.Min.Y <= r.Min.Y && r.Max.Y <= s.Max.Y
}