From f7aefe55183e883755edcf9dbdb71426ad0fac3c Mon Sep 17 00:00:00 2001 From: Dan Kortschak Date: Thu, 4 Apr 2019 10:41:05 +1030 Subject: [PATCH] plotter: add vector field plotter --- plotter/field.go | 188 +++++++++++++++++++++++ plotter/field_test.go | 145 +++++++++++++++++ plotter/testdata/field_golden.png | Bin 0 -> 19894 bytes plotter/testdata/gopher_field_golden.png | Bin 0 -> 20408 bytes plotter/testdata/gopher_running.png | Bin 0 -> 268013 bytes 5 files changed, 333 insertions(+) create mode 100644 plotter/field.go create mode 100644 plotter/field_test.go create mode 100644 plotter/testdata/field_golden.png create mode 100644 plotter/testdata/gopher_field_golden.png create mode 100644 plotter/testdata/gopher_running.png diff --git a/plotter/field.go b/plotter/field.go new file mode 100644 index 00000000..ed2b60a2 --- /dev/null +++ b/plotter/field.go @@ -0,0 +1,188 @@ +// Copyright ©2019 The Gonum 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 plotter + +import ( + "math" + + "gonum.org/v1/plot" + "gonum.org/v1/plot/vg" + "gonum.org/v1/plot/vg/draw" +) + +// FieldXY describes a two dimensional vector field where the +// X and Y coordinates are arranged on a rectangular grid. +type FieldXY interface { + // Dims returns the dimensions of the grid. + Dims() (c, r int) + + // Vector returns the value of a grid value at (c, r). + // It will panic if c or r are out of bounds for the grid. + Vector(c, r int) XY + + // X returns the coordinate for the column at the index x. + // It will panic if c is out of bounds for the grid. + X(c int) float64 + + // Y returns the coordinate for the row at the index r. + // It will panic if r is out of bounds for the grid. + Y(r int) float64 +} + +// Field implements the Plotter interface, drawing +// a vector field of the values in the FieldXY field. +type Field struct { + FieldXY FieldXY + + // DrawGlyph is the user hook to draw a field + // vector glyph. The function should draw a unit + // vector to (1, 0) on the vg.Canvas, c. + // The direction and magnitude of v can be used + // to determine properties of the glyph drawing + // but should not be used to determine size or + // directions of the glyph. + // + // If DrawGlyph is nil, a simple black arrow will + // be drawn. + DrawGlyph func(c vg.Canvas, v XY) + + // max define the dynamic range of the field. + max float64 +} + +// NewField creates as new heat map plotter for the given data, +// using the provided palette. +func NewField(f FieldXY) *Field { + max := math.Inf(-1) + c, r := f.Dims() + for i := 0; i < c; i++ { + for j := 0; j < r; j++ { + v := f.Vector(i, j) + d := math.Hypot(v.X, v.Y) + if math.IsNaN(d) { + continue + } + max = math.Max(max, d) + } + } + + return &Field{ + FieldXY: f, + max: max, + } +} + +// Plot implements the Plot method of the plot.Plotter interface. +func (f *Field) Plot(c draw.Canvas, plt *plot.Plot) { + trX, trY := plt.Transforms(&c) + + cols, rows := f.FieldXY.Dims() + for i := 0; i < cols; i++ { + var right, left float64 + switch i { + case 0: + right = (f.FieldXY.X(1) - f.FieldXY.X(0)) / 2 + left = -right + case cols - 1: + right = (f.FieldXY.X(cols-1) - f.FieldXY.X(cols-2)) / 2 + left = -right + default: + right = (f.FieldXY.X(i+1) - f.FieldXY.X(i)) / 2 + left = -(f.FieldXY.X(i) - f.FieldXY.X(i-1)) / 2 + } + + for j := 0; j < rows; j++ { + var up, down float64 + switch j { + case 0: + up = (f.FieldXY.Y(1) - f.FieldXY.Y(0)) / 2 + down = -up + case rows - 1: + up = (f.FieldXY.Y(rows-1) - f.FieldXY.Y(rows-2)) / 2 + down = -up + default: + up = (f.FieldXY.Y(j+1) - f.FieldXY.Y(j)) / 2 + down = -(f.FieldXY.Y(j) - f.FieldXY.Y(j-1)) / 2 + } + + x, y := trX(f.FieldXY.X(i)+left), trY(f.FieldXY.Y(j)+down) + dx, dy := trX(f.FieldXY.X(i)+right), trY(f.FieldXY.Y(j)+up) + + if !c.Contains(vg.Point{X: x, Y: y}) || !c.Contains(vg.Point{X: dx, Y: dy}) { + continue + } + + c.Push() + c.Translate(vg.Point{X: (x + dx) / 2, Y: (y + dy) / 2}) + v := f.FieldXY.Vector(i, j) + c.Rotate(math.Atan2(v.Y, v.X)) + s := math.Hypot(v.X, v.Y) / (2 * f.max) + v.X *= s + v.Y *= s + c.Scale(s*float64(dx-x), s*float64(dy-y)) + if f.DrawGlyph == nil { + drawVector(c, v) + } else { + f.DrawGlyph(c, v) + } + c.Pop() + } + } +} + +func drawVector(c vg.Canvas, v XY) { + if math.Hypot(v.X, v.Y) == 0 { + return + } + // TODO(kortschak): Improve this arrow. + var pa vg.Path + pa.Move(vg.Point{}) + pa.Line(vg.Point{X: 1, Y: 0}) + pa.Close() + c.Stroke(pa) +} + +// DataRange implements the DataRange method +// of the plot.DataRanger interface. +func (f *Field) DataRange() (xmin, xmax, ymin, ymax float64) { + c, r := f.FieldXY.Dims() + switch c { + case 1: // Make a unit length when there is no neighbour. + xmax = 0.5 + xmin = -0.5 + default: + xmax = f.FieldXY.X(c-1) + (f.FieldXY.X(c-1)-f.FieldXY.X(c-2))/2 + xmin = f.FieldXY.X(0) - (f.FieldXY.X(1)-f.FieldXY.X(0))/2 + } + switch r { + case 1: // Make a unit length when there is no neighbour. + ymax = 0.5 + ymin = -0.5 + default: + ymax = f.FieldXY.Y(r-1) + (f.FieldXY.Y(r-1)-f.FieldXY.Y(r-2))/2 + ymin = f.FieldXY.Y(0) - (f.FieldXY.Y(1)-f.FieldXY.Y(0))/2 + } + return xmin, xmax, ymin, ymax +} + +// GlyphBoxes implements the GlyphBoxes method +// of the plot.GlyphBoxer interface. +func (f *Field) GlyphBoxes(plt *plot.Plot) []plot.GlyphBox { + c, r := f.FieldXY.Dims() + b := make([]plot.GlyphBox, 0, r*c) + for i := 0; i < c; i++ { + for j := 0; j < r; j++ { + b = append(b, plot.GlyphBox{ + X: plt.X.Norm(f.FieldXY.X(i)), + Y: plt.Y.Norm(f.FieldXY.Y(j)), + Rectangle: vg.Rectangle{ + Min: vg.Point{X: -5, Y: -5}, + Max: vg.Point{X: +5, Y: +5}, + }, + }) + } + } + return b +} diff --git a/plotter/field_test.go b/plotter/field_test.go new file mode 100644 index 00000000..c6cc9fa8 --- /dev/null +++ b/plotter/field_test.go @@ -0,0 +1,145 @@ +// Copyright ©2019 The Gonum 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 plotter_test + +import ( + "image/png" + "log" + "os" + "testing" + + "gonum.org/v1/plot" + "gonum.org/v1/plot/cmpimg" + "gonum.org/v1/plot/plotter" + "gonum.org/v1/plot/vg" + "gonum.org/v1/plot/vg/draw" + "gonum.org/v1/plot/vg/vgimg" +) + +type field struct { + c, r int + fn func(x, y float64) plotter.XY +} + +func (f field) Dims() (c, r int) { return f.c, f.r } +func (f field) Vector(c, r int) plotter.XY { return f.fn(f.X(c), f.Y(r)) } +func (f field) X(c int) float64 { + if c < 0 || c >= f.c { + panic("index out of range") + } + return float64(c - f.c/2) +} +func (f field) Y(r int) float64 { + if r < 0 || r >= f.r { + panic("index out of range") + } + return float64(r - f.r/2) +} + +func ExampleField() { + f := plotter.NewField(field{ + r: 17, c: 19, + fn: func(x, y float64) plotter.XY { + return plotter.XY{ + X: y, + Y: -x, + } + }, + }) + + p, err := plot.New() + if err != nil { + log.Panic(err) + } + p.Title.Text = "Vector field" + + p.X.Tick.Marker = integerTicks{} + p.Y.Tick.Marker = integerTicks{} + + p.Add(f) + + img := vgimg.New(250, 175) + dc := draw.New(img) + + p.Draw(dc) + w, err := os.Create("testdata/field.png") + if err != nil { + log.Panic(err) + } + png := vgimg.PngCanvas{Canvas: img} + if _, err = png.WriteTo(w); err != nil { + log.Panic(err) + } +} + +func TestField(t *testing.T) { + cmpimg.CheckPlot(ExampleField, t, "field.png") +} + +func ExampleField_gophers() { + file, err := os.Open("testdata/gopher_running.png") + if err != nil { + log.Panic(err) + } + defer file.Close() + gopher, err := png.Decode(file) + if err != nil { + log.Panic(err) + } + + f := plotter.NewField(field{ + r: 5, c: 9, + fn: func(x, y float64) plotter.XY { + return plotter.XY{ + X: -0.75*x + y, + Y: -0.75*y - x, + } + }, + }) + + // Provide a DrawGlyph function to render a custom + // vector glyph instead of the default arrow. + f.DrawGlyph = func(c vg.Canvas, v plotter.XY) { + // Draw a unit square gopher running to the right + // centered on the origin. + c.Translate(vg.Point{X: -0.5, Y: -0.5}) + c.DrawImage(vg.Rectangle{Max: vg.Point{X: 1, Y: 1}}, gopher) + } + + p, err := plot.New() + if err != nil { + log.Panic(err) + } + p.Title.Text = "Gopher vortex" + + p.X.Tick.Marker = integerTicks{} + p.Y.Tick.Marker = integerTicks{} + + p.Add(f) + + img := vgimg.New(250, 175) + dc := draw.New(img) + + p.Draw(dc) + w, err := os.Create("testdata/gopher_field.png") + if err != nil { + log.Panic(err) + } + png := vgimg.PngCanvas{Canvas: img} + if _, err = png.WriteTo(w); err != nil { + log.Panic(err) + } +} + +func max(a, b int) int { + if a > b { + return a + } + return b +} + +func TestFieldGophers(t *testing.T) { + cmpimg.CheckPlot(ExampleField_gophers, t, "gopher_field.png") +} diff --git a/plotter/testdata/field_golden.png b/plotter/testdata/field_golden.png new file mode 100644 index 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