如何利用matlab把多组向量排列组合。 MATLAB中怎样将多个行向量合并为一个矩阵

\u5982\u4f55\u5229\u7528matlab\u628a\u591a\u7ec4\u5411\u91cf\u6392\u5217\u7ec4\u5408\u3002

\u751f\u6210\u5168\u6392\u5217\u53ef\u4ee5\u7528perms\u51fd\u6570\uff0c\u628a\u5404\u5411\u91cf\u653e\u5728\u5143\u80de\u6570\u7ec4\u4e2d\uff0c\u7136\u540e\u6309\u7167\u5168\u6392\u5217\u6765\u7ec4\u5408\u5373\u53ef\uff1a
M
=
{[1
2
3];
[4
5
6];
[7
8
9]};
I=perms(1:3);
C=mat2cell(I,ones(6,1),3);
R=cellfun(@(ii)[M{ii}],C,'UniformOutput',false)
\u8fd9\u6837\u5f97\u5230\u7684\u7ed3\u679cR\u662f\u4e00\u4e2a\u5143\u80de\u6570\u7ec4\uff0c\u5176\u6bcf\u4e2a\u5143\u7d20\u5206\u522b\u662f\u4e00\u4e2a\u7ec4\u5408\u51fa\u6765\u7684\u5411\u91cf\u3002
>>
cellfun(@(c)fprintf('%s\n',mat2str(c)),R)
[7
8
9
4
5
6
1
2
3]
[7
8
9
1
2
3
4
5
6]
[4
5
6
7
8
9
1
2
3]
[4
5
6
1
2
3
7
8
9]
[1
2
3
4
5
6
7
8
9]
[1
2
3
7
8
9
4
5
6]

\u4f7f\u7528for\u5faa\u73af\u5c06\u591a\u4e2a\u884c\u5411\u91cf\u5408\u6210\u4e00\u4e2a\u884c\u5411\u91cf\u6216\u8005\u4e00\u4e2a\u591a\u7ef4\u77e9\u9635\u3002
\u4ee3\u7801\uff1a
\u4f8b\uff1amatlab\u4f7f\u7528\u65f6\u9700\u8981\u5c06M\u3001N\u66ff\u6362\u6210\u5b9e\u9645\u503c\u3002
clc;clear all;close all
x0=zeros(1,N*M);
y0=zeros(1,N*M);
z0=zeros(1,N*M);
for i=1:M
t=-N/2:N/2-1;
x0(N*(i-1)+t+N/2+1)=t+i; %3*i-3+t+2
y0(N*(i-1)+t+N/2+1)=2*t+i;
z0(N*(i-1)+t+N/2+1)=4*t+i;
end
plot3(x0,y0,z0);
\u53e6\u5916\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u591a\u7ef4\u77e9\u9635\u7684\u5f62\u5f0f\uff0c\u8fd8\u662f\u4e0a\u9762\u7684\u4f8b\u5b50\uff0c\u5047\u8bbe\u7ec4\u6210\u4e00\u4e2a\uff08M,N,3\uff09\u7684\u77e9\u9635\uff1a
clc;clear;close all
mat=zeros(M,N,3);
for i=1:M
t=-N/2:1:N/2+1;
mat(i,:,1)=t+i;
mat(i,:,2)=t*2+i;
mat(i,:,3)=t*4+i;
plot3(mat(i,:,1),mat(i,:,2),mat(i,:,3))
hold on
end
axis([-700,700,-700,700,3,8])
grid on

\u6269\u5c55\u8d44\u6599\u5176\u5b83\u65b9\u6cd5\uff1a
1\u3001\u4e24\u4e2a\u884c\u76f8\u91cf\u7684\u5408\u5e76\uff1a
a = [1,0,1,0];
b = [0,1,0,1];
I = [a ; b];
2\u3001\u6709\u9650\u4e2a\u884c\u5411\u91cf\u7684\u5408\u5e76\uff1a
\u5982\u8981\u5408\u5e76a\uff0cb\uff0cc\uff0cd\uff0cI = [a ; b ;c ;d];
\u76f4\u63a5\u50cf\u4e24\u4e2a\u884c\u5411\u91cf\u7684\u5408\u5e76\u4e00\u6837\u5199\u6210
3\u3001N\u4e2a\u884c\u76f8\u91cf\u7684\u5408\u5e76\uff1a
\u5047\u8bbe\u6bcf\u6b21\u5f80I\u4e2d\u5408\u5e76\u7684\u884c\u5411\u91cf\u4e3aI0\uff0c\u7528\u5faa\u73af
I = [];
for i = 1 : N
I0 = []; %I0\u7684\u5185\u5bb9\u6839\u636e\u9700\u8981\u800c\u5b9a
I = [ I ; I0];
end

生成全排列可以用perms函数,把各向量放在元胞数组中,然后按照全排列来组合即可:
M = {[1 2 3]; [4 5 6]; [7 8 9]};
I=perms(1:3);
C=mat2cell(I,ones(6,1),3);
R=cellfun(@(ii)[M{ii}],C,'UniformOutput',false)

这样得到的结果R是一个元胞数组,其每个元素分别是一个组合出来的向量。
>> cellfun(@(c)fprintf('%s\n',mat2str(c)),R)
[7 8 9 4 5 6 1 2 3]
[7 8 9 1 2 3 4 5 6]
[4 5 6 7 8 9 1 2 3]
[4 5 6 1 2 3 7 8 9]
[1 2 3 4 5 6 7 8 9]
[1 2 3 7 8 9 4 5 6]

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