以下是一段matlab代码对函数s=powersin(x)的定义,请问是由什么导致while循环停止的?
时间: 2023-06-11 22:07:10 浏览: 96
根据代码中的注释,while循环的停止条件是当x的绝对值小于0.01时停止。具体来说,当x的绝对值小于0.01时,sin(x)的值与x的值非常接近,此时将s的值赋为x,然后退出while循环。这个过程可以看作是通过泰勒展开式对sin(x)进行近似,从而得到x的近似值。以下是代码:
```matlab
function s=powersin(x)
% This function computes sin(x) using a power series expansion
% Input: x is the angle in radians
% Output: s is the sum of the power series expansion
% Stop adding terms when the absolute value of the next term is less than 0.0001
% Initialize variables
n=1; % term counter
t=x; % initialize first term
% Initialize sum variable
s=0;
% Continue adding terms until absolute value of next term is less than 0.0001
while abs(t)>0.0001
s=s+t; % add current term to sum
n=n+1; % increment term counter
t=(-1)^n*x^(2*n-1)/factorial(2*n-1); % compute next term
end
% Once the loop is done, set s to x if x is small
if abs(x)<0.01
s=x;
end
```
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