matlab cordic求平方根代码

在MATLAB中，你可以使用CORDIC算法（Coordinate Rotation Digital Computer）来求解复数或向量的平方根。CORDIC是一种快速迭代的近似算法，它不需要乘法操作，这对于计算密集型任务来说非常高效。以下是一个简单的示例，展示如何使用MATLAB内置函数`cplxpair`结合CORDIC方法来求解复数对的平方根：

function [solutions] = cplxSqrtComplex(C)
    % C is the complex number or vector you want to find the square roots of
    N = length(C);
    
    % Check if all elements are real
    if isreal(C)
        C = [C; zeros(1, N)];
    end
    
    % Initialize initial estimates and scaling factor
    X = C;
    scale = abs(X);
    theta = angle(X);

    % Perform the CORDIC iteration for each element
    solutions = zeros(N, 2); % Two solutions per input (positive and negative)
    for i = 1:4*N
        if mod(i, 4) == 0 % Even iterations: compute sin(theta/2)
            phaseShift = pi / 4;
            X = sign(X) * scale * exp(-i*phaseShift);
            solutions(:, 1) = X;
        elseif mod(i, 4) == 1 % Odd iterations: compute cos(theta/2)
            phaseShift = pi / 4;
            X = X + sign(X) * scale * exp(-i*phaseShift);
        elseif mod(i, 4) == 2 % Even iterations: refine sin(theta/2)
            phaseShift = -pi / 8;
            X = X - sign(X) * scale * exp(-i*phaseShift);
        else % Odd iterations: refine cos(theta/2)
            phaseShift = pi / 8;
            X = X + sign(X) * scale * exp(-i*phaseShift);
        end
    end
    
    % Adjust the signs for negative numbers
    solutions(isnegative(C), :) = -solutions(isnegative(C), :);
end

% Example usage:
C = [3 + 4i; 5 - 6i];
[solutions, ~] = cplxSqrtComplex(C);
disp(solutions);