Rev | Line | |
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[37] | 1 | function test_quadratic_in_max |
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| 2 | |
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| 3 | sdpvar x y |
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| 4 | obj = -x-y; |
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| 5 | F = set(max([x^2+y^2 x+y]) < 3); |
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| 6 | sol = solvesdp(set(max([x^2+y^2 x+y]) < 3),obj) |
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| 7 | mbg_asserttrue(sol.problem == 0) |
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| 8 | mbg_asserttolequal(double(obj),-sqrt(3/2)*2, 1e-4); |
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| 9 | |
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| 10 | sdpvar x y |
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| 11 | obj = -x-y; |
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| 12 | sol = solvesdp(set(0 < min([-x^2-y^2 -x-y]) +3),obj) |
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| 13 | mbg_asserttrue(sol.problem == 0) |
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| 14 | mbg_asserttolequal(double(obj),-sqrt(3/2)*2, 1e-4); |
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| 15 | |
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| 16 | sdpvar x y |
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| 17 | obj = -x-y; |
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| 18 | sol = solvesdp(set(max([1 x y x^2]) < min([-x^2-y^2 -x-y]) +3),obj) |
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| 19 | mbg_asserttrue(sol.problem == 0) |
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| 20 | mbg_asserttolequal(double(obj),-2, 1e-4); |
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| 21 | |
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| 22 | sdpvar x y |
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| 23 | obj = -x-y; |
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| 24 | sol = solvesdp(set(abs([1 x y x^2]) < min([-x^2-y^2 -x-y]) +3),obj) |
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| 25 | mbg_asserttrue(sol.problem == 14) |
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| 26 | |
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| 27 | |
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