40 lines
921 B
Matlab
40 lines
921 B
Matlab
function pt = block_phase_transition(N, M)
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tau_min = 0;
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tau_max = 10;
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tau_interval = 0.05;
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tau_range = tau_min:tau_interval:tau_max;
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K_min = 1;
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K_max = 25;
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K_range = K_min:K_max;
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pt = zeros(25, 1);
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cache_filename = "I.mat";
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if exist(cache_filename, "file")
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load(cache_filename);
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else
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I = zeros(length(tau_range), 0);
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for tau_idx = 1:length(tau_range)
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tau = tau_range(tau_idx);
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I(tau_idx) = calc_block_integral(tau, 4);
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end
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save I.mat
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end
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for K_idx = 1:length(K_range)
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K = K_range(K_idx);
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f_set = zeros(length(tau_range), 1);
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for tau_idx = 1:length(tau_range)
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tau = tau_range(tau_idx);
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f_set(tau_idx) = 1/2 * (K * (2 * M + tau ^ 2) + (N - K) * I(tau_idx));
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end
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pt(K_idx) = min(f_set);
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end
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end
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