Go語言制作svg格式樹形圖的示例代碼

最近一直在刷二叉樹題目,但在要驗證結果時,通常用中序遍歷、層序遍歷查看結果,驗證起來沒有畫圖來得直觀,所有想到自己動手制作二叉樹的樹形圖。 直接開幹,先從svg入手:

什麼是SVG

SVG定義

SVG是可伸縮矢量圖形 (Scalable Vector Graphics),於2003年1月14日成為 W3C 推薦標準。

SVG 用來定義用於網絡的基於矢量的圖形

SVG 使用 XML 格式定義圖形

SVG 是萬維網聯盟的標準

SVG 與諸如 DOM 和 XSL 之類的 W3C 標準是一個整體

SVG優點

  • SVG 可被非常多的工具讀取和修改(比如記事本)
  • SVG 與 JPEG 和 GIF 圖像比起來,尺寸更小,且可壓縮性更強。
  • SVG 圖像在放大或改變尺寸的情況下其圖形質量不會有所損失
  • SVG 圖像可在任何的分辨率下被高質量地打印
  • SVG 可在圖像質量不下降的情況下被放大
  • SVG 圖像中的文本是可選的,同時也是可搜索的(很適合制作地圖)
  • SVG 可以與 JavaScript 技術一起運行
  • SVG 是開放的標準
  • SVG 文件是純粹的 XML

預定義元素

  • 矩形 <rect>
  • 圓形 <circle>
  • 橢圓 <ellipse>
  • 直線 <line>
  • 文字 <text>
  • 路徑 <path>
  • 折線 <polyline>
  • 多邊形 <polygon>

制作二叉樹的樹形圖,就使用圓形、直線、文字三種即可:

圓形 <circle>

<svg xmlns="http://www.w3.org/2000/svg" version="1.1">
  <circle cx="150" cy="50" r="30" stroke="black" stroke-width="2" fill="red"/>
</svg>

cx和cy屬性定義圓點的x和y坐標;r屬性定義圓的半徑

如果省略cx和cy,圓的中心會被設置為(0, 0)

直線 <line>

<svg xmlns="http://www.w3.org/2000/svg" version="1.1">
  <line x1="50" y1="50" x2="200" y2="200" style="stroke:red;stroke-width:2"/>
</svg>

x1,y2 屬性定義線條的起始端點坐標

x2,y2 屬性定義線條的結束端點坐標

文字 <text>

<svg xmlns="http://www.w3.org/2000/svg" version="1.1">
  <text x="30" y="150" fill="red">Welcome to Hann's HomePage</text>
</svg>

x,y 屬性定義文字左對齊顯示時的起始坐標(居中對齊則是文字中間點)

fill 屬性定義文字的顏色

結點SVG格式

根結點

由<circle>和<text>組成,存放結點的數據域

    <g id="0,0">
    <circle cx="400" cy="50" r="30" stroke="black" stroke-width="2" fill="orange" />
    <text x="400" y="50" fill="red" font-size="20" text-anchor="middle" dominant-baseline="middle">1</text>
    </g>

子樹結點

比根結點多出<line>元素,用來表示父結點左或右指針的指向

    <g id="1,0">
    <circle cx="200" cy="170" r="30" stroke="black" stroke-width="2" fill="orange" />
    <text x="200" y="170" fill="red" font-size="20" text-anchor="middle" dominant-baseline="middle">2</text>
    <line x1="200" y1="140" x2="379" y2="71" style="stroke:black;stroke-width:2"/>
    </g>

葉結點

與子樹結點相同,為區別顯示把<circle>填充色改為greenlight

    <g id="1,1">
    <circle cx="600" cy="170" r="30" stroke="black" stroke-width="2" fill="lightgreen" />
    <text x="600" y="170" fill="red" font-size="20" text-anchor="middle" dominant-baseline="middle">3</text>
    <line x1="600" y1="140" x2="421" y2="71" style="stroke:black;stroke-width:2"/>
    </g>

結點坐標

坐標的確定

結點坐標確定,把二叉樹還原成滿二叉樹,結點位置標記為:

[ [0,0], [1,0], [1,1], [2,0], [2,1], [2,2], [2,3], [3,0]……],再用循環計算出各點坐標。

連線的夾角

實際上不用考慮連線夾角,隻要計算出連線始終兩端點的坐標即可:

結點文本

以字符串形式保存好屬性變量的特征關鍵詞,用於遍歷二叉樹時替換成實際數據:

func XmlNode(M, N, X, Y int, Data string, Color ...string) string {
    var cColor, tColor string
    R := 30
    Node := `<Tab><g id="M,N">
    <circle cx="X" cy="Y" r="RC" stroke="black" stroke-width="2" fill="COLOR" />
    <text x="X" y="Y" fill="TextColor" font-size="20" text-anchor="middle"
        dominant-baseline="middle">DATA</text>
    <ROOT/>
    </g><CrLf>`
    if len(Color) == 0 {
        cColor, tColor = "orange", "red"
    } else if len(Color) == 1 {
        cColor, tColor = Color[0], "red"
    } else {
        cColor, tColor = Color[0], Color[1]
    }
    Node = strings.Replace(Node, "M", strconv.Itoa(M), 1)
    Node = strings.Replace(Node, "N", strconv.Itoa(N), 1)
    Node = strings.Replace(Node, "X", strconv.Itoa(X), 2)
    Node = strings.Replace(Node, "Y", strconv.Itoa(Y), 2)
    Node = strings.Replace(Node, "RC", strconv.Itoa(R), 1)
    Node = strings.Replace(Node, "DATA", Data, 1)
    Node = strings.Replace(Node, "COLOR", cColor, 1)
    Node = strings.Replace(Node, "TextColor", tColor, 1)
    Node = strings.Replace(Node, "<CrLf>", "\n", -1)
    Node = strings.Replace(Node, "<Tab>", "\t", -1)
    Node = strings.Replace(Node, "\n\t\t", " ", -1)
    return Node
}

二叉樹轉SVG

遍歷二叉樹對應的滿二叉樹,讀出數據域並計算坐標,轉成svg格式:

格式轉換

func (bt *biTree) Xml4Tree() string {
    var Xml, Node string
    Head := "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/" +
        "1999/xlink\" version=\"1.1\" width=\"Width\" height=\"Height\">\nCONTENT</svg>"
    Line := `<line x1="X1" y1="Y1" x2="X2" y2="Y2" style="stroke:black;stroke-width:2"/>`
    Link := `<a xlink:href="https://blog.csdn.net/boysoft2002" target="_blank">
    <text x="5" y="20" fill="blue">Hann's CSDN Homepage</text></a>`
    List := bt.LevelNullwith()
    Levels := len(List)
    for i := Levels - 1; i >= 0; i-- {
        negative := -1
        TmpXml := ""
        for j := 0; j < Pow2(i); j++ {
            t := Pow2(Levels - i - 1)
            x, y := 50*(2*t*j+t), 120*i+50
            if List[i][j] != nil {
                fillColor := "orange"
                if i == Levels-1 || i > 0 && i < Levels-1 &&
                    List[i+1][j*2] == nil && List[i+1][j*2+1] == nil {
                    fillColor = "lightgreen"
                }
                TmpStr := ""
                switch List[i][j].(type) {
                case int:
                    TmpStr = strconv.Itoa(List[i][j].(int))
                case float64:
                    TmpStr = strconv.FormatFloat(List[i][j].(float64), 'g', -1, 64)
                case string:
                    TmpStr = List[i][j].(string)
                default:
                    TmpStr = "Error Type"
                }
                Xml = XmlNode(i, j, x, y, TmpStr, fillColor)
            }
            if i > 0 {
                line1 := strings.Replace(Line, "X1", strconv.Itoa(x), 1)
                line1 = strings.Replace(line1, "Y1", strconv.Itoa(y-30), 1)
                negative *= -1
                x0, y0 := 21, 21
                x += 50*negative*(2*t*j%2+t) - negative*x0
                line1 = strings.Replace(line1, "X2", strconv.Itoa(x), 1)
                line1 = strings.Replace(line1, "Y2", strconv.Itoa(y-120+y0), 1)
                Xml = strings.Replace(Xml, "<ROOT/>", line1, 1)
            }
            if List[i][j] != nil {
                TmpXml += Xml
            }
        }
        Node = TmpXml + Node
    }
    Xml = strings.Replace(Head, "CONTENT", Node, 1)
    Xml = strings.Replace(Xml, "Width", strconv.Itoa(Pow2(Levels)*50), 1)
    Xml = strings.Replace(Xml, "Height", strconv.Itoa(Levels*120), 1)
    Xml = strings.Replace(Xml, "<ROOT/>", Link, 1)
    return Xml
}

寫入文件、調取瀏覽

    //......
    for index, text := range texts {
        svgFile := "./biTree0" + strconv.Itoa(index+1) + ".svg"
        file, err1 = os.Create(svgFile)
        if err1 != nil {
            panic(err1)
        }
        _, err1 = io.WriteString(file, text)
        if err1 != nil {
            panic(err1)
        }
        file.Close()
        exec.Command("cmd", "/c", "start", svgFile).Start()
        //Linux 代碼:
        //exec.Command("xdg-open", svgFile).Start()
        //Mac 代碼:
        //exec.Command("open", svgFile).Start()
    }
    //......

全部源代碼

package main
 
import (
	"fmt"
	"io"
	"os"
	"os/exec"
	"strconv"
	"strings"
)
 
type btNode struct {
	Data   interface{}
	Lchild *btNode
	Rchild *btNode
}
 
type biTree struct {
	Root *btNode
}
 
func Build(data interface{}) *biTree {
	var list []interface{}
	if data == nil {
		return &biTree{}
	}
	switch data.(type) {
	case []interface{}:
		list = append(list, data.([]interface{})...)
	default:
		list = append(list, data)
	}
	if len(list) == 0 {
		return &biTree{}
	}
	node := &btNode{Data: list[0]}
	list = list[1:]
	Queue := []*btNode{node}
	for len(list) > 0 {
		if len(Queue) == 0 {
			//panic("Given array can not build binary tree.")
			return &biTree{Root: node}
		}
		cur := Queue[0]
		val := list[0]
		Queue = Queue[1:]
		if val != nil {
			cur.Lchild = &btNode{Data: val}
			if cur.Lchild != nil {
				Queue = append(Queue, cur.Lchild)
			}
		}
		list = list[1:]
		if len(list) > 0 {
			val := list[0]
			if val != nil {
				cur.Rchild = &btNode{Data: val}
				if cur.Rchild != nil {
					Queue = append(Queue, cur.Rchild)
				}
			}
			list = list[1:]
		}
	}
	return &biTree{Root: node}
}
 
func (bt *biTree) AppendNode(data interface{}) {
	root := bt.Root
	if root == nil {
		bt.Root = &btNode{Data: data}
		return
	}
	Queue := []*btNode{root}
	for len(Queue) > 0 {
		cur := Queue[0]
		Queue = Queue[1:]
		if cur.Lchild != nil {
			Queue = append(Queue, cur.Lchild)
		} else {
			cur.Lchild = &btNode{Data: data}
			return
		}
		if cur.Rchild != nil {
			Queue = append(Queue, cur.Rchild)
		} else {
			cur.Rchild = &btNode{Data: data}
			break
		}
	}
}
 
func Copy(bt *biTree) *biTree {
	root := bt.Root
	if root == nil {
		return &biTree{}
	}
	node := &btNode{Data: root.Data}
	Queue1, Queue2 := []*btNode{root}, []*btNode{node}
	for len(Queue1) > 0 {
		p1, p2 := Queue1[0], Queue2[0]
		Queue1, Queue2 = Queue1[1:], Queue2[1:]
		if p1.Lchild != nil {
			Node := &btNode{Data: p1.Lchild.Data}
			p2.Lchild = Node
			Queue1 = append(Queue1, p1.Lchild)
			Queue2 = append(Queue2, Node)
		}
		if p1.Rchild != nil {
			Node := &btNode{Data: p1.Rchild.Data}
			p2.Rchild = Node
			Queue1 = append(Queue1, p1.Rchild)
			Queue2 = append(Queue2, Node)
		}
	}
	return &biTree{Root: node}
}
 
func Mirror(bt *biTree) *biTree {
	root := bt.Root
	if root == nil {
		return &biTree{}
	}
	node := &btNode{Data: root.Data}
	Queue1, Queue2 := []*btNode{root}, []*btNode{node}
	for len(Queue1) > 0 {
		p1, p2 := Queue1[0], Queue2[0]
		Queue1, Queue2 = Queue1[1:], Queue2[1:]
		if p1.Lchild != nil {
			Node := &btNode{Data: p1.Lchild.Data}
			p2.Rchild = Node
			Queue1 = append(Queue1, p1.Lchild)
			Queue2 = append(Queue2, Node)
		}
		if p1.Rchild != nil {
			Node := &btNode{Data: p1.Rchild.Data}
			p2.Lchild = Node
			Queue1 = append(Queue1, p1.Rchild)
			Queue2 = append(Queue2, Node)
		}
	}
	return &biTree{Root: node}
}
 
func (bt *biTree) BForder2D() [][]interface{} {
	var res [][]interface{}
	root := bt.Root
	if root == nil {
		return res
	}
	Queue := []*btNode{root}
	for len(Queue) > 0 {
		Nodes := []interface{}{}
		Levels := len(Queue)
		for Levels > 0 {
			cur := Queue[0]
			Queue = Queue[1:]
			Nodes = append(Nodes, cur.Data)
			Levels--
			if cur.Lchild != nil {
				Queue = append(Queue, cur.Lchild)
			}
			if cur.Rchild != nil {
				Queue = append(Queue, cur.Rchild)
			}
		}
		res = append(res, Nodes)
	}
	return res
}
 
func (bt *biTree) LevelNullwith(Fills ...interface{}) [][]interface{} {
	var Nodes [][]interface{}
	var Fill0 interface{}
	if len(Fills) == 0 {
		Fill0 = nil
	} else if len(Fills) == 1 {
		Fill0 = Fills[0]
	} else {
		panic("Error: number of parameters is greater than 1")
	}
	root := bt.Root
	if root == nil {
		return Nodes
	}
	Count := 0
	Queue := []*btNode{root}
	for len(Queue) > 0 {
		nodes := []interface{}{}
		Level := len(Queue)
		for Level > 0 {
			cur := Queue[0]
			Queue = Queue[1:]
			nodes = append(nodes, cur.Data)
			Count++
			Level--
			if cur.Lchild != nil {
				Queue = append(Queue, cur.Lchild)
			}
			if cur.Rchild != nil {
				Queue = append(Queue, cur.Rchild)
			}
		}
		Nodes = append(Nodes, nodes)
	}
	newbiTree := Copy(bt)
	for i := 1; i < Pow2(len(Nodes))-Count; i++ {
		newbiTree.AppendNode(Fill0)
	}
	return newbiTree.BForder2D()
}
 
func XmlNode(M, N, X, Y int, Data string, Color ...string) string {
	var cColor, tColor string
	R := 30
	Node := `<Tab><g id="M,N">
	<circle cx="X" cy="Y" r="RC" stroke="black" stroke-width="2" fill="COLOR" />
	<text x="X" y="Y" fill="TextColor" font-size="20" text-anchor="middle"
		dominant-baseline="middle">DATA</text>
	<ROOT/>
	</g><CrLf>`
	if len(Color) == 0 {
		cColor, tColor = "orange", "red"
	} else if len(Color) == 1 {
		cColor, tColor = Color[0], "red"
	} else {
		cColor, tColor = Color[0], Color[1]
	}
	Node = strings.Replace(Node, "M", strconv.Itoa(M), 1)
	Node = strings.Replace(Node, "N", strconv.Itoa(N), 1)
	Node = strings.Replace(Node, "X", strconv.Itoa(X), 2)
	Node = strings.Replace(Node, "Y", strconv.Itoa(Y), 2)
	Node = strings.Replace(Node, "RC", strconv.Itoa(R), 1)
	Node = strings.Replace(Node, "DATA", Data, 1)
	Node = strings.Replace(Node, "COLOR", cColor, 1)
	Node = strings.Replace(Node, "TextColor", tColor, 1)
	Node = strings.Replace(Node, "<CrLf>", "\n", -1)
	Node = strings.Replace(Node, "<Tab>", "\t", -1)
	Node = strings.Replace(Node, "\n\t\t", " ", -1)
	return Node
}
 
func Pow2(x int) int { //x>=0
	res := 1
	for i := 0; i < x; i++ {
		res *= 2
	}
	return res
}
 
func Xml4Full(Levels int) string {
	var Xml, Node string
	Head := "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/" +
		"1999/xlink\" version=\"1.1\" width=\"Width\" height=\"Height\">\nCONTENT</svg>"
	Line := `<line x1="X1" y1="Y1" x2="X2" y2="Y2" style="stroke:black;stroke-width:2"/>`
	Link := `<a xlink:href="https://blog.csdn.net/boysoft2002" rel="external nofollow"  rel="external nofollow"  target="_blank">
	<text x="5" y="20" fill="blue">Hann's CSDN Homepage</text></a>`
	for i := 0; i < Levels; i++ {
		negative := -1
		for j := 0; j < Pow2(i); j++ {
			t := Pow2(Levels - i - 1)
			x, y := 50*(2*t*j+t), 120*i+50
			if Levels != 1 && i == Levels-1 {
				Xml = XmlNode(i, j, x, y, strconv.Itoa(Pow2(i)+j), "lightgreen")
			} else {
				Xml = XmlNode(i, j, x, y, strconv.Itoa(Pow2(i)+j))
			}
			if i > 0 {
				line1 := strings.Replace(Line, "X1", strconv.Itoa(x), 1)
				line1 = strings.Replace(line1, "Y1", strconv.Itoa(y-30), 1)
				negative *= -1
				x0, y0 := 21, 21
				//過連線起始端的半徑與縱軸線夾角取45度時x,y坐標修正值21,21[30/1.414]
				//取30度時 x0,y0:= 15,30-26;取60度時 x0,y0:= 26[15*1.732],15
				x += 50*negative*(2*t*j%2+t) - negative*x0
				line1 = strings.Replace(line1, "X2", strconv.Itoa(x), 1)
				line1 = strings.Replace(line1, "Y2", strconv.Itoa(y-120+y0), 1)
				Xml = strings.Replace(Xml, "<ROOT/>", line1, 1)
			}
			Node += Xml
		}
	}
	Xml = strings.Replace(Head, "CONTENT", Node, 1)
	Xml = strings.Replace(Xml, "Width", strconv.Itoa(Pow2(Levels)*50), 1)
	Xml = strings.Replace(Xml, "Height", strconv.Itoa(Levels*120), 1)
	Xml = strings.Replace(Xml, "<ROOT/>", Link, 1)
	return Xml
}
 
func (bt *biTree) Xml4Tree() string {
	var Xml, Node string
	Head := "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/" +
		"1999/xlink\" version=\"1.1\" width=\"Width\" height=\"Height\">\nCONTENT</svg>"
	Line := `<line x1="X1" y1="Y1" x2="X2" y2="Y2" style="stroke:black;stroke-width:2"/>`
	Link := `<a xlink:href="https://blog.csdn.net/boysoft2002" rel="external nofollow"  rel="external nofollow"  target="_blank">
	<text x="5" y="20" fill="blue">Hann's CSDN Homepage</text></a>`
	List := bt.LevelNullwith()
	Levels := len(List)
	for i := Levels - 1; i >= 0; i-- {
		negative := -1
		TmpXml := ""
		for j := 0; j < Pow2(i); j++ {
			t := Pow2(Levels - i - 1)
			x, y := 50*(2*t*j+t), 120*i+50
			if List[i][j] != nil {
				fillColor := "orange"
				if i == Levels-1 || i > 0 && i < Levels-1 &&
					List[i+1][j*2] == nil && List[i+1][j*2+1] == nil {
					fillColor = "lightgreen"
				}
				TmpStr := ""
				switch List[i][j].(type) {
				case int:
					TmpStr = strconv.Itoa(List[i][j].(int))
				case float64:
					TmpStr = strconv.FormatFloat(List[i][j].(float64), 'g', -1, 64)
				case string:
					TmpStr = List[i][j].(string)
				default:
					TmpStr = "Error Type"
				}
				Xml = XmlNode(i, j, x, y, TmpStr, fillColor)
			}
			if i > 0 {
				line1 := strings.Replace(Line, "X1", strconv.Itoa(x), 1)
				line1 = strings.Replace(line1, "Y1", strconv.Itoa(y-30), 1)
				negative *= -1
				x0, y0 := 21, 21
				x += 50*negative*(2*t*j%2+t) - negative*x0
				line1 = strings.Replace(line1, "X2", strconv.Itoa(x), 1)
				line1 = strings.Replace(line1, "Y2", strconv.Itoa(y-120+y0), 1)
				Xml = strings.Replace(Xml, "<ROOT/>", line1, 1)
			}
			if List[i][j] != nil {
				TmpXml += Xml
			}
		}
		Node = TmpXml + Node
	}
	Xml = strings.Replace(Head, "CONTENT", Node, 1)
	Xml = strings.Replace(Xml, "Width", strconv.Itoa(Pow2(Levels)*50), 1)
	Xml = strings.Replace(Xml, "Height", strconv.Itoa(Levels*120), 1)
	Xml = strings.Replace(Xml, "<ROOT/>", Link, 1)
	return Xml
}
 
func main() {
 
	var file *os.File
	var err1 error
 
	list1 := []interface{}{"-", "*", 6, "+", 3, nil, nil, 2, 8}
	list2 := []interface{}{1, 2, 3, 4, 5, nil, 6, 7, 8}
	tree1 := Build(list1)
	tree2 := Build(list2)
	tree3 := Mirror(tree2)
	texts := []string{tree1.Xml4Tree(), tree2.Xml4Tree(), tree3.Xml4Tree(), Xml4Full(4)}
 
	for index, text := range texts {
		svgFile := "./biTree0" + strconv.Itoa(index+1) + ".svg"
		file, err1 = os.Create(svgFile)
		if err1 != nil {
			panic(err1)
		}
		_, err1 = io.WriteString(file, text)
		if err1 != nil {
			panic(err1)
		}
		file.Close()
		exec.Command("cmd", "/c", "start", svgFile).Start()
		//Linux 代碼:
		//exec.Command("xdg-open", svgFile).Start()
		//Mac 代碼:
		//exec.Command("open", svgFile).Start()
	}
 
	fmt.Println("Welcome to my homepage: https://blog.csdn.net/boysoft2002")
	exec.Command("cmd", "/c", "start", "https://blog.csdn.net/boysoft2002").Start()
 
}

至此,已達成自己的預想結果,算法實在有點笨拙,但總算成功瞭。

到此這篇關於Go語言制作svg格式樹形圖的示例代碼的文章就介紹到這瞭,更多相關Go語言樹形圖內容請搜索WalkonNet以前的文章或繼續瀏覽下面的相關文章希望大傢以後多多支持WalkonNet!

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