Matlab弦图
slandarer 人气:0弦图在python中以及R中非常常见，但是MATLAB中却始终没有相关函数，file exchange中也没有工作做的较为完备的弦图绘制函数(不过现在有了，我已经往上面也传了一份hiahiahia)
仅工具函数主体部分约300行，字符数约8000，能画出与R语言同等质量的弦图实属不易，希望能有个`点赞``！！！
由于工具函数过长，将被放在最后展示，以下将先展示函数用法
封面图
使用教程
1.数据格式
数据要求为全部数值大于等于0的数值矩阵，或者table数组，或者数值矩阵+行列名元胞数组，首先举个数值矩阵的例子：
数值矩阵
dataMat=randi([0,5],[5,4]); % 绘图 CC=chordChart(dataMat); CC=CC.draw();
这样由于没对各个对象命名，因此会自动命名为Rn和Cn
数值矩阵+行列名元胞数组
这是最推荐的一种格式：
dataMat=[2 0 1 2 5 1 2;
3 5 1 4 2 0 1;
4 0 5 5 2 4 3];
colName={'G1','G2','G3','G4','G5','G6','G7'};
rowName={'S1','S2','S3'};
CC=chordChart(dataMat,'rowName',rowName,'colName',colName);
CC=CC.draw();
rowName要和矩阵的行相同大小
colName要和矩阵的列相同大小
对于本列子来说第2行第3列数值是1，就说明有一份能量从S2流向G3，也就在这俩之间需要画单位宽度的弦。
table 数组
需要使用如下格式的table数组：
当然，如果各个行没有命名的话依旧会自动命名的。
2.修饰弦
弦的批量修饰
弦的批量修饰可以使用setChordProp函数，一切Patch对象所具有的属性均可以被修饰，举个例子(修饰一下弦的颜色，边缘颜色，边缘线形状等)：
CC.setChordProp('EdgeColor',[.3,.3,.3],'LineStyle','--',...
'LineWidth',.1,'FaceColor',[.3,.3,.3])
弦的单独修饰
弦的单独修饰可以使用setChordMN函数，其中m,n值是和原始数值矩阵的行列完全对应的,举个例子(把S2流向G4的弦颜色更改为红色)：
CC.setChordMN(2,4,'FaceColor',[1,0,0])
弦的颜色映射
使用setChordColorByMap函数进行颜色映射，
matlab 自带的colormap均可用：
或者也可自行放入一个n×3大小的颜色列表，程序会自动对其进行插值：举个例子：
CC.setChordColorByMap(copper(100))
3.圆弧状方块修饰
圆弧状方块批量修饰
使用
setSquareT_Prop
setSquareF_Prop
分别修饰上方方块和下方方块，一切Patch对象所具有的属性均可以被修饰，举个例子，上方方块批量修饰(改为黑色)：
CC.setSquareT_Prop('FaceColor',[0,0,0])
圆弧状方块单独修饰
使用
setSquareT_N
setSquareF_N
分别修饰上方方块和下方方块，举个例子，上方第二个方块单独修饰(改为红色)：
CC.setSquareT_N(2,'FaceColor',[.8,0,0])
4.字体调整
使用setFont函数对字体进行调整，所有text对象具有的属性均可以修饰，举个例子(更改文本的字号、字体和颜色)：
CC.setFont('FontSize',25,'FontName','Cambria','Color',[0,0,.8])
5.显示和隐藏刻度
用法：
CC.tickState('on')
% CC.tickState('off')
工具函数完整代码
classdef chordChart
% @author : slandarer
% gzh : slandarer随笔
% 使用示例：
% =========================================================================
% dataMat=[2 0 1 2 5 1 2;
% 3 5 1 4 2 0 1;
% 4 0 5 5 2 4 3];
% colName={'G1','G2','G3','G4','G5','G6','G7'};
% rowName={'S1','S2','S3'};
%
% CC=chordChart(dataMat,'rowName',rowName,'colName',colName);
% CC=CC.draw()
properties
ax
arginList={'colName','rowName'}
verMatlab % MATLAB 版本: R2021a显示为2021,R2021b显示为2021.5
chordTable % table数组
dataMat % 数值矩阵
colName={}; % 列名称
rowName={}; % 行名称
thetaSetF
thetaSetT
% -----------------------------------------------------------
squareFHdl % 绘制下方方块的图形对象矩阵
squareTHdl % 绘制下上方方块的图形对象矩阵
nameFHdl % 绘制下方文本的图形对象矩阵
nameTHdl % 绘制上方文本的图形对象矩阵
chordMatHdl % 绘制弦的图形对象矩阵
thetaTickFHdl % 刻度句柄
thetaTickTHdl % 刻度句柄
RTickFHdl % 轴线句柄
RTickTHdl % 轴线句柄
end
methods
function obj=chordChart(varargin)
if isa(varargin{1},'matlab.graphics.axis.Axes')
obj.ax=varargin{1};varargin(1)=[];
else
obj.ax=gca;
end
% 获取版本信息
tver=version('-release');
obj.verMatlab=str2double(tver(1:4))+(abs(tver(5))-abs('a'))/2;
if obj.verMatlab<2017
hold on
else
hold(obj.ax,'on')
end
obj.dataMat=varargin{1};varargin(1)=[];
if isa(obj.dataMat,'table')
obj.chordTable=obj.dataMat;
if isempty(obj.chordTable.Properties.RowNames)
for i=1:size(obj.chordTable.Variables,1)
obj.rowName{i}=['R',num2str(i)];
end
end
else
% 获取其他数据
for i=1:(length(varargin)-1)
tid=ismember(obj.arginList,varargin{i});
if any(tid)
obj.(obj.arginList{tid})=varargin{i+1};
end
end
tzerocell{1,size(obj.dataMat,2)}=zeros(size(obj.dataMat,1),1);
for i=1:size(obj.dataMat,2)
tzerocell{1,i}=zeros(size(obj.dataMat,1),1);
end
if isempty(obj.colName)
for i=1:size(obj.dataMat,2)
obj.colName{i}=['C',num2str(i)];
end
end
if isempty(obj.rowName)
for i=1:size(obj.dataMat,1)
obj.rowName{i}=['R',num2str(i)];
end
end
% 创建table数组
obj.chordTable=table(tzerocell{:});
obj.chordTable.Variables=obj.dataMat;
obj.chordTable.Properties.VariableNames=obj.colName;
obj.chordTable.Properties.RowNames=obj.rowName;
help chordChart
end
end
function obj=draw(obj)
obj.ax.XLim=[-1.38,1.38];
obj.ax.YLim=[-1.38,1.38];
obj.ax.XTick=[];
obj.ax.YTick=[];
obj.ax.XColor='none';
obj.ax.YColor='none';
obj.ax.PlotBoxAspectRatio=[1,1,1];
% 计算绘图所用数值
tDMat=obj.chordTable.Variables;
tDFrom=obj.chordTable.Properties.RowNames;
tDTo=obj.chordTable.Properties.VariableNames;
tDMatUni=tDMat-min(min(tDMat));
tDMatUni=tDMatUni./max(max(tDMatUni));
sep1=1/20;
sep2=1/40;
ratioF=sum(tDMat,2)./sum(tDMat,[1,2]);
ratioF=[0,ratioF'];
ratioT=[0,sum(tDMat,1)./sum(tDMat,[1,2])];
sepNumF=size(tDMat,1);
sepNumT=size(tDMat,2);
sepLen=pi*(1-2*sep1)*sep2;
baseLenF=(pi*(1-sep2)-(sepNumF-1)*sepLen);
baseLenT=(pi*(1-sep2)-(sepNumT-1)*sepLen);
tColor=[61 96 137;76 103 86]./255;
% 绘制下方方块
for i=1:sepNumF
theta1=2*pi-pi*sep1/2-sum(ratioF(1:i))*baseLenF-(i-1)*sepLen;
theta2=2*pi-pi*sep1/2-sum(ratioF(1:i+1))*baseLenF-(i-1)*sepLen;
theta=linspace(theta1,theta2,100);
X=cos(theta);Y=sin(theta);
obj.squareFHdl(i)=fill([1.05.*X,1.15.*X(end:-1:1)],[1.05.*Y,1.15.*Y(end:-1:1)],...
tColor(1,:),'EdgeColor','none');
theta3=(theta1+theta2)/2;
obj.nameFHdl(i)=text(cos(theta3).*1.28,sin(theta3).*1.28,tDFrom{i},'FontSize',12,'FontName','Arial',...
'HorizontalAlignment','center','Rotation',-(1.5*pi-theta3)./pi.*180);
obj.RTickFHdl(i)=plot(cos(theta).*1.17,sin(theta).*1.17,'Color',[0,0,0],'LineWidth',.8,'Visible','off');
end
% 绘制上方放块
for j=1:sepNumT
theta1=pi-pi*sep1/2-sum(ratioT(1:j))*baseLenT-(j-1)*sepLen;
theta2=pi-pi*sep1/2-sum(ratioT(1:j+1))*baseLenT-(j-1)*sepLen;
theta=linspace(theta1,theta2,100);
X=cos(theta);Y=sin(theta);
obj.squareTHdl(j)=fill([1.05.*X,1.15.*X(end:-1:1)],[1.05.*Y,1.15.*Y(end:-1:1)],...
tColor(2,:),'EdgeColor','none');
theta3=(theta1+theta2)/2;
obj.nameTHdl(j)=text(cos(theta3).*1.28,sin(theta3).*1.28,tDTo{j},'FontSize',12,'FontName','Arial',...
'HorizontalAlignment','center','Rotation',-(.5*pi-theta3)./pi.*180);
obj.RTickTHdl(j)=plot(cos(theta).*1.17,sin(theta).*1.17,'Color',[0,0,0],'LineWidth',.8,'Visible','off');
end
colorFunc=colorFuncFactory(flipud(summer(50)));
% 绘制弦
for i=1:sepNumF
for j=sepNumT:-1:1
theta1=2*pi-pi*sep1/2-sum(ratioF(1:i))*baseLenF-(i-1)*sepLen;
theta2=2*pi-pi*sep1/2-sum(ratioF(1:i+1))*baseLenF-(i-1)*sepLen;
theta3=pi-pi*sep1/2-sum(ratioT(1:j))*baseLenT-(j-1)*sepLen;
theta4=pi-pi*sep1/2-sum(ratioT(1:j+1))*baseLenT-(j-1)*sepLen;
tRowV=tDMat(i,:);tRowV=[0,tRowV(end:-1:1)./sum(tRowV)];
tColV=tDMat(:,j)';tColV=[0,tColV./sum(tColV)];
% 贝塞尔曲线断点计算
theta5=(theta2-theta1).*sum(tRowV(1:(sepNumT+1-j)))+theta1;
theta6=(theta2-theta1).*sum(tRowV(1:(sepNumT+2-j)))+theta1;
theta7=(theta3-theta4).*sum(tColV(1:i))+theta4;
theta8=(theta3-theta4).*sum(tColV(1:i+1))+theta4;
tPnt1=[cos(theta5),sin(theta5)];
tPnt2=[cos(theta6),sin(theta6)];
tPnt3=[cos(theta7),sin(theta7)];
tPnt4=[cos(theta8),sin(theta8)];
if j==sepNumT,obj.thetaSetF(i,1)=theta5;end
obj.thetaSetF(i,j+1)=theta6;
if i==1,obj.thetaSetT(1,j)=theta7;end
obj.thetaSetT(i+1,j)=theta8;
% 计算曲线
tLine1=bezierCurve([tPnt1;0,0;tPnt3],200);
tLine2=bezierCurve([tPnt2;0,0;tPnt4],200);
tline3=[cos(linspace(theta6,theta5,100))',sin(linspace(theta6,theta5,100))'];
tline4=[cos(linspace(theta7,theta8,100))',sin(linspace(theta7,theta8,100))'];
obj.chordMatHdl(i,j)=fill([tLine1(:,1);tline4(:,1);tLine2(end:-1:1,1);tline3(:,1)],...
[tLine1(:,2);tline4(:,2);tLine2(end:-1:1,2);tline3(:,2)],...
colorFunc(tDMatUni(i,j)),'FaceAlpha',.3,'EdgeColor','none');
if tDMat(i,j)==0
set(obj.chordMatHdl(i,j),'Visible','off')
end
end
% 绘制刻度线
tX=[cos(obj.thetaSetF(i,:)).*1.17;cos(obj.thetaSetF(i,:)).*1.19;nan.*ones(1,sepNumT+1)];
tY=[sin(obj.thetaSetF(i,:)).*1.17;sin(obj.thetaSetF(i,:)).*1.19;nan.*ones(1,sepNumT+1)];
obj.thetaTickFHdl(i)=plot(tX(:),tY(:),'Color',[0,0,0],'LineWidth',.8,'Visible','off');
end
for j=1:sepNumT
tX=[cos(obj.thetaSetT(:,j)').*1.17;cos(obj.thetaSetT(:,j)').*1.19;nan.*ones(1,sepNumF+1)];
tY=[sin(obj.thetaSetT(:,j)').*1.17;sin(obj.thetaSetT(:,j)').*1.19;nan.*ones(1,sepNumF+1)];
obj.thetaTickTHdl(j)=plot(tX(:),tY(:),'Color',[0,0,0],'LineWidth',.8,'Visible','off');
end
% 贝塞尔函数
function pnts=bezierCurve(pnts,N)
t=linspace(0,1,N);
p=size(pnts,1)-1;
coe1=factorial(p)./factorial(0:p)./factorial(p:-1:0);
coe2=((t).^((0:p)')).*((1-t).^((p:-1:0)'));
pnts=(pnts'*(coe1'.*coe2))';
end
% 渐变色句柄生成函数
function colorFunc=colorFuncFactory(colorList)
x=(0:size(colorList,1)-1)./(size(colorList,1)-1);
y1=colorList(:,1);y2=colorList(:,2);y3=colorList(:,3);
colorFunc=@(X)[interp1(x,y1,X,'linear')',interp1(x,y2,X,'linear')',interp1(x,y3,X,'linear')'];
end
end
% =================================================================
% 批量弦属性设置
function setChordProp(obj,varargin)
tDMat=obj.chordTable.Variables;
for i=1:size(tDMat,1)
for j=1:size(tDMat,2)
set(obj.chordMatHdl(i,j),varargin{:});
end
end
end
% 单独弦属性设置
function setChordMN(obj,m,n,varargin)
set(obj.chordMatHdl(m,n),varargin{:});
end
% 根据colormap映射颜色
function setChordColorByMap(obj,colorList)
tDMat=obj.chordTable.Variables;
tDMatUni=tDMat-min(min(tDMat));
tDMatUni=tDMatUni./max(max(tDMatUni));
colorFunc=colorFuncFactory(colorList);
for i=1:size(tDMat,1)
for j=1:size(tDMat,2)
set(obj.chordMatHdl(i,j),'FaceColor',colorFunc(tDMatUni(i,j)));
end
end
% 渐变色句柄生成函数
function colorFunc=colorFuncFactory(colorList)
x=(0:size(colorList,1)-1)./(size(colorList,1)-1);
y1=colorList(:,1);y2=colorList(:,2);y3=colorList(:,3);
colorFunc=@(X)[interp1(x,y1,X,'linear')',interp1(x,y2,X,'linear')',interp1(x,y3,X,'linear')'];
end
end
% -----------------------------------------------------------------
% 批量上方方块属性设置
function setSquareT_Prop(obj,varargin)
tDMat=obj.chordTable.Variables;
for j=1:size(tDMat,2)
set(obj.squareTHdl(j),varargin{:});
end
end
% 单独上方方块属性设置
function setSquareT_N(obj,n,varargin)
set(obj.squareTHdl(n),varargin{:});
end
% 批量下方方块属性设置
function setSquareF_Prop(obj,varargin)
tDMat=obj.chordTable.Variables;
for i=1:size(tDMat,1)
set(obj.squareFHdl(i),varargin{:});
end
end
% 单独上方方块属性设置
function setSquareF_N(obj,n,varargin)
set(obj.squareFHdl(n),varargin{:});
end
% -----------------------------------------------------------------
% 字体设置
function setFont(obj,varargin)
tDMat=obj.chordTable.Variables;
for i=1:size(tDMat,1)
set(obj.nameFHdl(i),varargin{:});
end
for j=1:size(tDMat,2)
set(obj.nameTHdl(j),varargin{:});
end
end
% -----------------------------------------------------------------
% 刻度开关
function tickState(obj,state)
tDMat=obj.chordTable.Variables;
for i=1:size(tDMat,1)
set(obj.thetaTickFHdl(i),'Visible',state);
set(obj.RTickFHdl(i),'Visible',state);
end
for j=1:size(tDMat,2)
set(obj.thetaTickTHdl(j),'Visible',state);
set(obj.RTickTHdl(j),'Visible',state);
end
end
end
end
封面图绘制代码
封面一
% demo 1
% @author : slandarer
% gzh : slandarer随笔
dataMat=[2 0 1 2 5 1 2;
3 5 1 4 2 0 1;
4 0 5 5 2 4 3];
colName={'G1','G2','G3','G4','G5','G6','G7'};
rowName={'S1','S2','S3'};
CC=chordChart(dataMat,'rowName',rowName,'colName',colName);
CC=CC.draw();
CC.setFont('FontSize',17,'FontName','Cambria')
CC.tickState('on')
封面二
% demo 2
% @author : slandarer
% gzh : slandarer随笔
dataMat=[2 0 1 2 5 1 2;
3 5 1 4 2 0 1;
4 0 5 5 2 4 3];
colName={'G1','G2','G3','G4','G5','G6','G7'};
rowName={'S1','S2','S3'};
CC=chordChart(dataMat,'rowName',rowName,'colName',colName);
CC=CC.draw();
% 弦属性设置 ===============================================================
% CC.setChordProp('EdgeColor',[.3,.3,.3],'LineStyle','--',...
% 'LineWidth',.1,'FaceColor',[.3,.3,.3])
% CC.setChordMN(2,4,'FaceColor',[1,0,0])
CC.setChordColorByMap(copper(100))
% 方块属性设置 =============================================================
CC.setSquareT_Prop('FaceColor',[0,0,0])
CC.setSquareT_N(2,'FaceColor',[.8,0,0])
% CC.setSquareF_Prop('FaceColor',[0,0,0])
% CC.setSquareF_N(2,'FaceColor',[.8,0,0])
% 字体设置 =================================================================
CC.setFont('FontSize',17,'FontName','Cambria','Color',[0,0,.8])
% 刻度开关设置 =============================================================
CC.tickState('on')
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