前几天有粉丝问我这种图能不能画: 大体看了一下就是有联系的两个元素之间连线,同时将不同类用不同颜色划分,于是又双叒叕了一个工具函数:
输入数据要求一个nxn大小的0-1矩阵,代表各个元素之间有没有连线,同时还需要一个nx1大小的Class
列表代表每个元素属于哪一类,举个简单的例子:
% 生成随机200x200对称0-1矩阵
Data=rand(200,200)>.992;
Data=(Data+Data')>0;
% 生成200x1随机分类编号
Class=randi([1,5],[200,1]);
CC=circosChart(Data,Class);
CC=CC.draw();
以下两种写法等价:
colorList=[78 101 155;
138 140 191;
184 168 207;
231 188 198;
253 207 158]./255;
CC=circosChart(Data,Class,'ColorOrder',colorList);
CC=CC.draw();
CC=circosChart(Data,Class);
CC=CC.draw();
colorList=[78 101 155;
138 140 191;
184 168 207;
231 188 198;
253 207 158]./255;
CC.setColor(1:5,colorList)
使用setLine
修饰其他属性,'Line’对象具有的属性均可以修饰,例如改变粗细:
CC.setLine('LineWidth',5)
设置
- partNameList
- classNameList
俩属性设置标签:
% 生成随机200x200对称0-1矩阵
Data=rand(200,200)>.992;
Data=(Data+Data')>0;
% 生成200x1随机分类编号
Class=randi([1,5],[200,1]);
for i=1:200
partName{i}=[num2str(Class(i)),'-',num2str(i)];
end
className={'AAAAA','BBBBB','CCCCC','DDDDD','EEEEE'};
CC=circosChart(Data,Class,'PartName',partName,'ClassName',className);
CC=CC.draw();
使用:
- setPartLabel
- setClassLabel
俩函数修饰文本标签,例如:
CC.setPartLabel('Color',[0,0,.8],'FontName','Cambria')
CC.setClassLabel('Color',[.8,0,0],'FontName','Cambria','FontSize',25)
展示 π \pi π小数点后500和1000位数字前后连接情况:500个点的时候我们发现7出现次数似乎格外的少,本来以为写错了,结果算了一下就只出现了36次,确实是出现的次数比较少:
% demo 1 pi小数点后1000个数值前后连接状况
piStr=['1415926535897932384626433832795028841971693993751058209749445923078',...
'1640628620899862803482534211706798214808651328230664709384460955058',...
'2231725359408128481117450284102701938521105559644622948954930381964',...
'4288109756659334461284756482337867831652712019091456485669234603486',...
'1045432664821339360726024914127372458700660631558817488152092096282',...
'9254091715364367892590360011330530548820466521384146951941511609433',...
'0572703657595919530921861173819326117931051185480744623799627495673',...
'5188575272489122793818301194912983367336244065664308602139494639522',...
'4737190702179860943702770539217176293176752384674818467669405132000',...
'5681271452635608277857713427577896091736371787214684409012249534301',...
'4654958537105079227968925892354201995611212902196086403441815981362',...
'9774771309960518707211349999998372978049951059731732816096318595024',...
'4594553469083026425223082533446850352619311881710100031378387528865',...
'8753320838142061717766914730359825349042875546873115956286388235378',...
'75937519577818577805321712268066130019278766111959092164201999'];
Class=abs(piStr(1:1000))-47; % 类要求从1开始而非0因此这里减去47
Data=diag(ones(1,999),-1);
className={'0','1','2','3','4','5','6','7','8','9'};
colorOrder=[239,65,75;230,115,48;229,158,57;232,136,85;239,199,97;
144,180,116;78,166,136;81,140,136;90,118,142;43,121,159]./255;
CC=circosChart(Data,Class,'ClassName',className,'ColorOrder',colorOrder);
CC=CC.draw();
ax=gca;
ax.Color=[0,0,0];
CC.setClassLabel('Color',[1,1,1],'FontSize',25,'FontName','Cambria')
CC.setLine('LineWidth',.7)
classdef circosChart
% @author : slandarer
% gzh : slandarer随笔
properties
ax,arginList={'ColorOrder','ClassName','PartName'}
ColorOrder=[80,118,169;226,144,50;127,167,58;242,86,54;126,109,167;
196,98,37;74,148,189;255,182,46;161,86,144;134,138,33;
240,73,53;90,123,207;254,147,44;186,79,115;35,170,102]./255;
ClassName,PartName
Data,Class,indexInClass,colorSet={[]}
classSet,classNum,classSize,classRatio,classTheta
lineHdl,partLabelHdl,classLabelHdl,scatterHdl
end
methods
function obj=circosChart(Data,Class,varargin)
obj.Data=Data;
obj.Class=Class(:);
obj.classSet=unique(Class);
obj.classNum=length(obj.classSet);
obj.indexInClass=zeros(length(obj.Class),1);
% 计算比例
for i=1:obj.classNum
tClassBool=obj.classSet(i)==obj.Class;
tCumsumBool=cumsum(tClassBool);
obj.classSize(i)=sum(tClassBool);
obj.indexInClass(tClassBool)=tCumsumBool(tClassBool);
end
obj.classRatio=obj.classSize./sum(obj.classSize);
disp(char([64 97 117 116 104 111 114 32 58 32 115 108 97 110 100 97 114 101 114]))
obj.ColorOrder=[obj.ColorOrder;rand([obj.classNum,3])];
for i=1:size(obj.Data,1)
obj.PartName{i}='';
end
for i=1:obj.classNum
obj.ClassName{i}=['Class ',num2str(i)];
end
% 获取其他数据
for i=1:2:(length(varargin)-1)
tid=ismember(obj.arginList,varargin{i});
if any(tid)
obj.(obj.arginList{tid})=varargin{i+1};
end
end
end
function obj=draw(obj)
obj.ax=gca;hold on
obj.ax.XLim=[-1.2,1.2];
obj.ax.YLim=[-1.2,1.2];
obj.ax.XTick=[];
obj.ax.YTick=[];
obj.ax.XColor='none';
obj.ax.YColor='none';
obj.ax.PlotBoxAspectRatio=[1,1,1];
% 调整初始界面大小
fig=obj.ax.Parent;
if max(fig.Position(3:4))0&&rotation90&&rotation0
Ci=obj.Class(i);Pi=obj.indexInClass(i);
Cj=obj.Class(j);Pj=obj.indexInClass(j);
Ti=obj.classTheta(Ci).T(Pi);
Tj=obj.classTheta(Cj).T(Pj);
Xij=[cos(Ti),0,cos(Tj)]';
Yij=[sin(Ti),0,sin(Tj)]';
XYb=bezierCurve([Xij,Yij],200);
obj.lineHdl(i,j)=plot(XYb(:,1),XYb(:,2),'-','LineWidth',1);
end
end
end
pause(1e-16)
for i=1:size(obj.Data,1)
for j=1:(i-1)
if obj.Data(i,j)>0
Ci=obj.Class(i);
Cj=obj.Class(j);
set(get(obj.lineHdl(i,j),'Edge'),'ColorBinding','interpolated','ColorData',obj.colorSet{Ci,Cj})
end
end
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
end
% 设置线除了颜色的其他属性
function setLine(obj,varargin)
for i=1:size(obj.Data,1)
for j=1:(i-1)
if obj.Data(i,j)>0
set(obj.lineHdl(i,j),varargin{:})
end
end
end
end
% 设置线颜色
function setColor(obj,N,color)
obj.ColorOrder(N,:)=color;
t2=linspace(0,1,200);t1=1-t2;
for i=1:obj.classNum
set(obj.scatterHdl(i),'CData',obj.ColorOrder(i,:))
for j=1:obj.classNum
C1=obj.ColorOrder(i,:);
C2=obj.ColorOrder(j,:);
obj.colorSet{i,j}=uint8([t1.*C1(1)+t2.*C2(1);
t1.*C1(2)+t2.*C2(2);
t1.*C1(3)+t2.*C2(3)
ones(1,200).*.6].*255);
end
end
for i=1:size(obj.Data,1)
for j=1:(i-1)
if obj.Data(i,j)>0
Ci=obj.Class(i);
Cj=obj.Class(j);
set(get(obj.lineHdl(i,j),'Edge'),'ColorBinding','interpolated','ColorData',obj.colorSet{Ci,Cj})
end
end
end
end
% 设置标签
function setPartLabel(obj,varargin)
for i=1:size(obj.Data,1)
set(obj.partLabelHdl(i),varargin{:});
end
end
function setClassLabel(obj,varargin)
for i=1:obj.classNum
set(obj.classLabelHdl(i),varargin{:});
end
end
end
% @author : slandarer
% gzh : slandarer随笔
% Zhaoxu Liu (2022). circos plot 弦图
% (https://www.mathworks.com/matlabcentral/fileexchange/118655-circos-plot),
% MATLAB Central File Exchange. 检索来源 2022/10/6.
end
完
MATLAB弦图绘制能画成这样属实不易,如果有用请留个赞
叭~
未经允许本代码请勿作商业用途,引用的话可以引用我file exchange上的链接,可使用如下格式:
Zhaoxu Liu (2022). circos plot 弦图 (https://www.mathworks.com/matlabcentral/fileexchange/118655-circos-plot), MATLAB Central File Exchange. 检索来源 2022/10/6.
若转载请保留以上file exchange链接及本文链接!!!
全部m文件及数据获取:
【链接】:https://pan.baidu.com/s/1pQoh8cE5G4oeTLoXgFoRGw?pwd=slan 【提取码】:slan