希望大家分享一下自己看到过或者写过的精彩MATLAB代码。


向量化编程的利器:reshape、bsxfun、arrayfun、repmat,各种秒杀for循环。不过自从推出Compatible Array Sizes之后,bsxfun的作用有所下降(但我并不喜欢Compatible Array Sizes,导致有时候矩阵大小出错了还不会报错)。

下面是一个我之前遇到过的例子。

A = randn(37,1e5);
B = randn(41,1e5)+1i*randn(41,1e5);
C = randn( 1,1e5);
%% 使用for循环
tic
peak = 0;
for i = 1:size(A,1)
A_fft = conj(fft(A(i,:)));
for j = 1:size(B,1)
temp = B(j,:).*C;
temp_fft = fft(temp);
result = abs(ifft(A_fft.*temp_fft));
peak = max(peak,max(result));
end
end
toc

时间已过 6.287102 秒。

%% 使用bsxfun
tic
A1 = reshape(A,1e5,37, 1);
B1 = reshape(B.,1e5, 1,41);
C1 = reshape(C,1e5, 1, 1);
result1 = abs(ifft(bsxfun(@times,fft(bsxfun(@times,B1,C1)),conj(fft(A1)))));
peak1 = max(result1(:));
toc

时间已过 2.359991 秒。

%% 验证前后两种方法结果是否相同
if abs(peak-peak1)&<1e-10 disp(true); end

true。

上述结果,CPU为8700,matlab版本为R2018b,这个版本对for循环已经有了一定的优化,但通过向量化编程、列优先的手段,仍然可以有效地提高程序执行效率。


[x,y,z]=meshgrid(linspace(-1.3,1.3));
val=(x.^2 + (9/4)*y.^2 + z.^2 - 1).^3 - x.^2.*z.^3 - (9/80)*y.^2.*z.^3;
isosurface(x,y,z,val,0)
axis equal
view(-10,24)
colormap flag
camlight
lighting phong


看到这个问题马上打开程序粘上去了, 做课设的时候本来打算, 把这个代码隐藏起来等老师运行检查的时候调戏一下老师? 狗头jpg. 电脑都给你打开了就只看我报告!?

感兴趣的话可以去跑一下

sp=actxserver(SAPI.SpVoice);
sp.Speak(?????);
sp.Speak(???);
sp.Speak(???);
sp.Speak(???);
sp.Speak(Matlab);

% Most shining national wind//????? on Matlab
% The Modification is from "canon", not by me
fs = 44100; % sample rate
dt = 1/fs;
T16 = 0.125;
t16 = [0:dt:T16];
[temp k] = size(t16);
t4 = linspace(0,4*T16,4*k);
t8 = linspace(0,2*T16,2*k);
[temp i] = size(t4);
[temp j] = size(t8);
% Modification functions
mod4=(t4.^4).*exp(-30*(t4.^0.5));
mod4=mod4*(1/max(mod4));
mod8=(t8.^4).*exp(-50*(t8.^0.5));
mod8=mod8*(1/max(mod8));
mod16=(t16.^4).*exp(-90*(t16.^0.5));
mod16=mod16*(1/max(mod16));
f0 = 2*146.8; % reference frequency
ScaleTable = [2/3 3/4 5/6 15/16 ...
1 9/8 5/4 4/3 3/2 5/3 9/5 15/8 ...
2 9/4 5/2 8/3 3 10/3 15/4 4 ...
1/2 9/16 5/8];
% 1/4 notes
do0f = mod4.*cos(2*pi*ScaleTable(21)*f0*t4);
re0f = mod4.*cos(2*pi*ScaleTable(22)*f0*t4);
mi0f = mod4.*cos(2*pi*ScaleTable(23)*f0*t4);
fa0f = mod4.*cos(2*pi*ScaleTable(1)*f0*t4);
so0f = mod4.*cos(2*pi*ScaleTable(2)*f0*t4);
la0f = mod4.*cos(2*pi*ScaleTable(3)*f0*t4);
ti0f = mod4.*cos(2*pi*ScaleTable(4)*f0*t4);
do1f = mod4.*cos(2*pi*ScaleTable(5)*f0*t4);
re1f = mod4.*cos(2*pi*ScaleTable(6)*f0*t4);
mi1f = mod4.*cos(2*pi*ScaleTable(7)*f0*t4);
fa1f = mod4.*cos(2*pi*ScaleTable(8)*f0*t4);
so1f = mod4.*cos(2*pi*ScaleTable(9)*f0*t4);
la1f = mod4.*cos(2*pi*ScaleTable(10)*f0*t4);
tb1f = mod4.*cos(2*pi*ScaleTable(11)*f0*t4);
ti1f = mod4.*cos(2*pi*ScaleTable(12)*f0*t4);
do2f = mod4.*cos(2*pi*ScaleTable(13)*f0*t4);
re2f = mod4.*cos(2*pi*ScaleTable(14)*f0*t4);
mi2f = mod4.*cos(2*pi*ScaleTable(15)*f0*t4);
fa2f = mod4.*cos(2*pi*ScaleTable(16)*f0*t4);
so2f = mod4.*cos(2*pi*ScaleTable(17)*f0*t4);
la2f = mod4.*cos(2*pi*ScaleTable(18)*f0*t4);
ti2f = mod4.*cos(2*pi*ScaleTable(19)*f0*t4);
do3f = mod4.*cos(2*pi*ScaleTable(20)*f0*t4);
blkf = zeros(1,i);
% 1/8 notes
do0e = mod8.*cos(2*pi*ScaleTable(21)*f0*t8);
re0e = mod8.*cos(2*pi*ScaleTable(22)*f0*t8);
mi0e = mod8.*cos(2*pi*ScaleTable(23)*f0*t8);
fa0e = mod8.*cos(2*pi*ScaleTable(1)*f0*t8);
so0e = mod8.*cos(2*pi*ScaleTable(2)*f0*t8);
la0e = mod8.*cos(2*pi*ScaleTable(3)*f0*t8);
ti0e = mod8.*cos(2*pi*ScaleTable(4)*f0*t8);
do1e = mod8.*cos(2*pi*ScaleTable(5)*f0*t8);
re1e = mod8.*cos(2*pi*ScaleTable(6)*f0*t8);
mi1e = mod8.*cos(2*pi*ScaleTable(7)*f0*t8);
fa1e = mod8.*cos(2*pi*ScaleTable(8)*f0*t8);
so1e = mod8.*cos(2*pi*ScaleTable(9)*f0*t8);
la1e = mod8.*cos(2*pi*ScaleTable(10)*f0*t8);
tb1e = mod8.*cos(2*pi*ScaleTable(11)*f0*t8);
ti1e = mod8.*cos(2*pi*ScaleTable(12)*f0*t8);
do2e = mod8.*cos(2*pi*ScaleTable(13)*f0*t8);
re2e = mod8.*cos(2*pi*ScaleTable(14)*f0*t8);
mi2e = mod8.*cos(2*pi*ScaleTable(15)*f0*t8);
fa2e = mod8.*cos(2*pi*ScaleTable(16)*f0*t8);
so2e = mod8.*cos(2*pi*ScaleTable(17)*f0*t8);
la2e = mod8.*cos(2*pi*ScaleTable(18)*f0*t8);
ti2e = mod8.*cos(2*pi*ScaleTable(19)*f0*t8);
do3e = mod8.*cos(2*pi*ScaleTable(20)*f0*t8);
blke = zeros(1,j);
% 1/16 notes
do0s = mod16.*cos(2*pi*ScaleTable(21)*f0*t16);
re0s = mod16.*cos(2*pi*ScaleTable(22)*f0*t16);
mi0s = mod16.*cos(2*pi*ScaleTable(23)*f0*t16);
fa0s = mod16.*cos(2*pi*ScaleTable(1)*f0*t16);
so0s = mod16.*cos(2*pi*ScaleTable(2)*f0*t16);
la0s = mod16.*cos(2*pi*ScaleTable(3)*f0*t16);
ti0s = mod16.*cos(2*pi*ScaleTable(4)*f0*t16);
do1s = mod16.*cos(2*pi*ScaleTable(5)*f0*t16);
re1s = mod16.*cos(2*pi*ScaleTable(6)*f0*t16);
mi1s = mod16.*cos(2*pi*ScaleTable(7)*f0*t16);
fa1s = mod16.*cos(2*pi*ScaleTable(8)*f0*t16);
so1s = mod16.*cos(2*pi*ScaleTable(9)*f0*t16);
la1s = mod16.*cos(2*pi*ScaleTable(10)*f0*t16);
tb1s = mod16.*cos(2*pi*ScaleTable(11)*f0*t16);
ti1s = mod16.*cos(2*pi*ScaleTable(12)*f0*t16);
do2s = mod16.*cos(2*pi*ScaleTable(13)*f0*t16);
re2s = mod16.*cos(2*pi*ScaleTable(14)*f0*t16);
mi2s = mod16.*cos(2*pi*ScaleTable(15)*f0*t16);
fa2s = mod16.*cos(2*pi*ScaleTable(16)*f0*t16);
so2s = mod16.*cos(2*pi*ScaleTable(17)*f0*t16);
la2s = mod16.*cos(2*pi*ScaleTable(18)*f0*t16);
ti2s = mod16.*cos(2*pi*ScaleTable(19)*f0*t16);
do3s = mod16.*cos(2*pi*ScaleTable(20)*f0*t16);
blks = zeros(1,k);

% Melody by Schau_mal
part0 = [mi1f la0e la0e do1f mi1f ...
re1e re1s mi1s re1e do1e re1e do1e la0f ...
mi1f la0e la0e do1f mi1f ...
so1e re1s mi1s re1e do1e re1e do1e ti0e so0e ...
mi1f la0e la0e do1f mi1f ...
re1e re1s mi1s re1e do1e re1e do1e la0e so0e ...
mi1f la0e la0e do1f mi1f ...
so1e mi1e blkf blkf blkf ...
];
part1 = [la0f la0e so0e la0f la0e do1e ...
do1f re1e do1e la0f la0f ...
do1f do1e so0e do1e re1e mi1e so1e ...
so1e mi1e re1f mi1f mi1f ...
la1e la1e la1e so1e mi1e mi1f do1e ...
la0e la0e la0e mi1e re1s mi1s re1e re1f ...
mi1e mi1e so1e mi1e re1e mi1e re1e do1e ...
la0f so0f la0f la0f ...
];
part2 = [mi1e mi1e so1e mi1e mi1e so1e so1e la1e ...
do2e la1e so1f la1s do2s la1e la1f ...
la0f la0e so0e la0f do1f ...
re1e mi1s re1s do1e re1e mi1f mi1f ...
la0e la1e la1e so1e re1e mi1s re1s do1e re1e ...
mi1f mi1f blke blke blkf ...
do1e la0e la0e do1e re1f so0e so0e ...
mi1e so1e mi1e re1e do1f do1f ...
la0e do1e re1e mi1e re1e do1e so0e mi0e ...
la0f la0f blke blke blkf ...
];
part3 = [la0f la0e so0e la0f do1f ...
re1e mi1s re1s do1e re1e mi1f mi1f ...
la0e la1e la1e so1e re1e mi1s re1s do1e re1e ...
mi1f mi1f blke blke blkf ...
do1e la0e la0e do1e re1f so0e so0e ...
mi1e so1e mi1e re1e do1f do1e do1e ...
la0e do1e re1e mi1e so1e mi1e mi1e so1e ...
la1f la1f la1f la1f ...
];
part4 = [la1e la1s la1s la1e la1e la1e la1s so1s mi1e re1e ...
re1e re1s re1s mi1e mi1s so1s mi1e mi1s re1s do1e do1s la0s ...
la0f la0e so0e la0f la0e do1e ...
re1e mi1s re1s do1e re1e mi1f mi1f ...
la1e so1e mi1e re1e so1e mi1e re1e do1e ...
do1f do1f la0s do1s re1s mi1s re1s do1s la0s do1s
];
part5 = [do2e do2s do2s la1e la1s la1s so1e so1s so1s mi1e mi1s mi1s ...
re1e mi1s re1s do1e la0s so0s la0s so0s do1s re1s mi1s so1s la1s re2s ...
do2f do2f blks blks blks blks do1e re1e ...
mi1f mi1f mi1f so1e mi1e ...
la1f la1f la1e do1e so1e mi1e ...
re1f re1e re1s re1s re1e re1e do1e re1e ...
mi1f mi1e mi1s mi1s mi1e re1s do1s ti0e do1s re1s ...
mi1f mi1f mi1f so1e mi1e ...
do2f la1f la1f la1e do1e ...
re1f so1f so1f la1f ...
ti1f ti1f ti1f ti1f ...
];
part6 = [blkf blkf mi1e so1e mi1e so1e ...
mi1f la0e la0s la0s do1f la0e mi1s la0s ...
do1e do1s do1s re1e do1s re1s mi1f mi1f ...
mi1f la0e la0s la0s so1f re1e re1s re1s ...
mi1f mi1f mi1s re1s do1s la0s mi0s re0s mi0s so0s ...
do1f la0e la0s la0s re1f so0e so0s so0s ...
mi0f so0e so0s so0s do1f do1f ...
la0f do1e do1s la0s mi1e mi1s mi1s re1e re1s mi1s ...
];
% Combination, v1 is complete version, v2 is simple version.
v1 = [part0 part1 part1 part2 part3 part4 part0 part1 part1 part2 part3 part5 part3 part6 part3];
v2 = [part0 part1 part1 part2 part3 part5 part3 part6 part3];
% Lets rock ^_^
s = v1;
s = s/max(s);
sound(s,fs);


t=0:pi/100:2*pi;
x=cos(t);
y= sin(t);
plot(x,y);%时钟轮廓
text(0,1,12:00);
text(0,-1,18:00);
text(1,0,15:00);
text(-1,0,21:00);%%时钟关键点
hold on;
axis equal;
linex=[0,1];
liney = [0,0];
h = plot(linex,liney);%%时钟指针(不是码农心中的指针)
theta = 0;
%%实现指针旋转
while true
theta = theta-(pi/3600);
linex(2) = cos(theta);
liney(2) = sin(theta);
set(h,xdata,linex,ydata,liney);
drawnow
end

通过这几行代码几乎可以实现一个大致的时钟模型,自己看论文看著无聊无聊,然后在图书馆码了一个时钟,看上去很简陋很粗糙,大致图形如下图:

(代码实现后应该是动图,本人随手截的图,如果影响美观,请见谅!)

最后,无论哪一刻那一秒代码惊艳到你,请不要惊讶,只能证明你在这短暂的时间内了解到的关于这门语言的相关知识是真的很有限。不过也不要厌恶这种惊艳,毕竟用久了就和结婚久了一样,多看几眼并无往日的惊艳,而是深切的依赖........


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