88 lines
1.7 KiB
Matlab
88 lines
1.7 KiB
Matlab
% 仿真入口，确定 N 和 s 后，通过遍历 eta_1 和 eta_2 来计算出 P
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% 设置用于遍历 eta 的参数
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eta_1_step = 1e-2;
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eta_2_step = 1e-8;
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eta_1_start = eta_1_step;
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eta_2_start = eta_2_step;
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eta_1_end = (sqrt(5) - 1) / 2; % 大于这个值时，eta_1 ^2 + eta_1 必定会大于 1
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eta_2_end = 1e-3;
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eta_1 = eta_1_start:eta_1_step:eta_1_end;
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eta_2 = eta_2_start:eta_2_step:eta_2_end;
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eta_1_N = length(eta_1);
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eta_2_N = length(eta_2);
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N = 1e14;
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s = 10;
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epsilon = 1e-5;
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C_1 = 5576;
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C_2 = 10.66;
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result = zeros(eta_1_N, eta_2_N);
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metric_1 = zeros(eta_1_N, 1);
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metric_2 = zeros(eta_2_N, 1);
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for i = 1:eta_1_N
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metric_1(i) = (C_1 * s * (log(4*s))^2 * log(8*N)) / (eta_1(i) ^ 2);
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end
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for j = 1:eta_2_N
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metric_2(j) = (C_2 * s * log(epsilon^-1)) / (eta_2(j) ^ 2);
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end
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sigmas = zeros(eta_1_N, 1 * eta_2_N);
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results = zeros(eta_1_N, 1 * eta_2_N);
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k = 0;
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d = 1e2;
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for i = 1:eta_1_N
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for j = 1:eta_2_N
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sigma = eta_1(i) * (1 + eta_1(i)) + eta_2(j);
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if sigma > 1
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continue
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end
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sigmas(i, j) = sigma;
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k = k + 1;
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m1 = metric_1(i);
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m2 = metric_2(j);
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m = solve_test(m1);
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if m1 < m2
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m = max(m, m2);
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end
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if m > N
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results(i, j) = 0;
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else
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results(i, j) = N / m;
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end
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end
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end
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figure;
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% semilogy(sigmas, results);
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h = heatmap(results);
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h.GridVisible = false;
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ax = gca;
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xn = length(ax.XDisplayLabels);
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yn = length(ax.YDisplayLabels);
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for i = 1:length(ax.XDisplayLabels)
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% if rem(i, rem(xn, 10)) ~= 0
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% ax.XDisplayLabels(i) = {nan};
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% end
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end
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for i = 1:length(ax.YDisplayLabels)
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% if rem(i, rem(yn, 10)) ~= 0
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% ax.YDisplayLabels(i) = {nan};
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% end
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end
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% heatmap(result);
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