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theory EuclideanDivTest
use int.Int
use int.EuclideanDivision
constant div_m1_2 : int = div (-1) 2
constant mod_m1_2 : int = mod (-1) 2
constant div_1_m2 : int = div 1 (-2)
constant mod_1_m2 : int = mod 1 (-2)
constant div_m1_m2 : int = div (-1) (-2)
constant mod_m1_m2 : int = mod (-1) (-2)
goal ok1 : div_m1_2 = -1
goal ok2 : mod_m1_2 = 1
goal ok3 : div_1_m2 = 0
goal ok4 : mod_1_m2 = 1
goal ok5 : div_m1_m2 = 1
goal ok6 : mod_m1_m2 = 1
goal smoke1 : div_m1_2 = 0
goal smoke2 : mod_m1_2 = -1
goal smoke3 : div_1_m2 = 1
goal smoke4 : mod_1_m2 = -1
goal smoke5 : div_m1_m2 = 0
goal smoke6 : mod_m1_m2 = -1
end
theory ComputerDivTest
use int.Int
use int.ComputerDivision
constant div_m1_2 : int = div (-1) 2
constant mod_m1_2 : int = mod (-1) 2
constant div_1_m2 : int = div 1 (-2)
constant mod_1_m2 : int = mod 1 (-2)
constant div_m1_m2 : int = div (-1) (-2)
constant mod_m1_m2 : int = mod (-1) (-2)
goal ok1 : div_m1_2 = 0
goal ok2 : mod_m1_2 = -1
goal ok3 : div_1_m2 = 0
goal ok4 : mod_1_m2 = 1
goal ok5 : div_m1_m2 = 0
goal ok6 : mod_m1_m2 = -1
goal smoke1 : div_m1_2 = -1
goal smoke2 : mod_m1_2 = 1
goal smoke3 : div_1_m2 = -1
goal smoke4 : mod_1_m2 = -1
goal smoke5 : div_m1_m2 = -1
goal smoke6 : mod_m1_m2 = 1
goal div_pos_neg: forall x y. x>=0 -> y<0 -> div x y <= 0
end
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