Add unit tests for precedence-0 formulas and lower
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@ -406,6 +406,31 @@ mod tests
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assert_eq!(format(greater_or_equal(constant("a"), constant("b"))), "a >= b");
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assert_eq!(format(equal(constant("a"), constant("b"))), "a = b");
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assert_eq!(format(not_equal(constant("a"), constant("b"))), "a != b");
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assert_eq!(format(
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greater(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c > |d - e|");
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assert_eq!(format(
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less(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c < |d - e|");
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assert_eq!(format(
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less_or_equal(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c <= |d - e|");
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assert_eq!(format(
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greater_or_equal(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c >= |d - e|");
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assert_eq!(format(
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equal(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c = |d - e|");
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assert_eq!(format(
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not_equal(multiply(add(constant("a"), constant("b")), constant("c")),
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absolute_value(subtract(constant("d"), constant("e"))))),
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"(a + b) * c != |d - e|");
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}
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#[test]
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@ -515,4 +540,241 @@ mod tests
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predicate("r", vec![])])),
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"p <-> q <-> r");
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}
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#[test]
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fn format_combination_boolean_and_lower()
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{
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assert_eq!(format(exists(vec![variable_declaration("X")], true_())), "exists X true");
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assert_eq!(format(exists(vec![variable_declaration("X")], false_())), "exists X false");
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assert_eq!(format(
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exists(vec![variable_declaration("X"), variable_declaration("Y"),
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variable_declaration("Z")], true_())),
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"exists X, Y, Z true");
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assert_eq!(format(
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exists(vec![variable_declaration("X"), variable_declaration("Y"),
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variable_declaration("Z")], false_())),
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"exists X, Y, Z false");
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assert_eq!(format(for_all(vec![variable_declaration("X")], true_())), "forall X true");
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assert_eq!(format(for_all(vec![variable_declaration("X")], false_())), "forall X false");
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assert_eq!(format(
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for_all(vec![variable_declaration("X"), variable_declaration("Y"),
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variable_declaration("Z")], true_())),
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"forall X, Y, Z true");
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assert_eq!(format(
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for_all(vec![variable_declaration("X"), variable_declaration("Y"),
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variable_declaration("Z")], false_())),
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"forall X, Y, Z false");
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assert_eq!(format(not(true_())), "not true");
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assert_eq!(format(not(false_())), "not false");
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assert_eq!(format(and(vec![true_()])), "true");
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assert_eq!(format(and(vec![true_(), true_(), true_()])), "true and true and true");
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assert_eq!(format(and(vec![false_()])), "false");
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assert_eq!(format(and(vec![false_(), false_(), false_()])), "false and false and false");
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assert_eq!(format(or(vec![true_()])), "true");
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assert_eq!(format(or(vec![true_(), true_(), true_()])), "true or true or true");
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assert_eq!(format(or(vec![false_()])), "false");
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assert_eq!(format(or(vec![false_(), false_(), false_()])), "false or false or false");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, true_(), true_())),
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"true -> true");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, true_(), true_())),
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"true <- true");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, false_(), false_())),
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"false -> false");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, false_(), false_())),
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"false <- false");
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assert_eq!(format(if_and_only_if(vec![true_()])), "true");
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assert_eq!(format(
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if_and_only_if(vec![true_(), true_(), true_()])),
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"true <-> true <-> true");
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assert_eq!(format(if_and_only_if(vec![false_()])), "false");
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assert_eq!(format(
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if_and_only_if(vec![false_(), false_(), false_()])),
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"false <-> false <-> false");
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}
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#[test]
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fn format_combination_compare_and_lower()
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{
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let term_1 = || multiply(add(constant("a"), constant("b")), constant("c"));
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let term_2 = || absolute_value(subtract(constant("d"), constant("e")));
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let term_3 = || exponentiate(constant("a"), exponentiate(constant("b"), constant("c")));
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let term_4 = || negative(function("f", vec![integer(5), add(variable("X"), integer(3))]));
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assert_eq!(format(
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exists(vec![variable_declaration("X")], greater(term_1(), term_2()))),
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"exists X (a + b) * c > |d - e|");
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assert_eq!(format(
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exists(vec![variable_declaration("X")], less(term_1(), term_2()))),
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"exists X (a + b) * c < |d - e|");
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assert_eq!(format(
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exists(vec![variable_declaration("X")], less_or_equal(term_1(), term_2()))),
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"exists X (a + b) * c <= |d - e|");
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assert_eq!(format(
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exists(vec![variable_declaration("X")], greater_or_equal(term_1(), term_2()))),
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"exists X (a + b) * c >= |d - e|");
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assert_eq!(format(
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exists(vec![variable_declaration("X")], equal(term_1(), term_2()))),
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"exists X (a + b) * c = |d - e|");
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assert_eq!(format(
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exists(vec![variable_declaration("X")], not_equal(term_1(), term_2()))),
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"exists X (a + b) * c != |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], greater(term_1(), term_2()))),
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"forall X (a + b) * c > |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], less(term_1(), term_2()))),
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"forall X (a + b) * c < |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], less_or_equal(term_1(), term_2()))),
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"forall X (a + b) * c <= |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], greater_or_equal(term_1(), term_2()))),
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"forall X (a + b) * c >= |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], equal(term_1(), term_2()))),
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"forall X (a + b) * c = |d - e|");
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assert_eq!(format(
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for_all(vec![variable_declaration("X")], not_equal(term_1(), term_2()))),
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"forall X (a + b) * c != |d - e|");
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assert_eq!(format(not(greater(term_1(), term_2()))), "not (a + b) * c > |d - e|");
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assert_eq!(format(not(less(term_1(), term_2()))), "not (a + b) * c < |d - e|");
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assert_eq!(format(not(less_or_equal(term_1(), term_2()))), "not (a + b) * c <= |d - e|");
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assert_eq!(format(not(greater_or_equal(term_1(), term_2()))), "not (a + b) * c >= |d - e|");
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assert_eq!(format(not(equal(term_1(), term_2()))), "not (a + b) * c = |d - e|");
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assert_eq!(format(not(not_equal(term_1(), term_2()))), "not (a + b) * c != |d - e|");
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assert_eq!(format(
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and(vec![greater(term_1(), term_2()), greater(term_3(), term_4()),
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greater(term_2(), term_4())])),
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"(a + b) * c > |d - e| and a ** b ** c > -f(5, X + 3) and |d - e| > -f(5, X + 3)");
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assert_eq!(format(
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and(vec![less(term_1(), term_2()), less(term_3(), term_4()),
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less(term_2(), term_4())])),
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"(a + b) * c < |d - e| and a ** b ** c < -f(5, X + 3) and |d - e| < -f(5, X + 3)");
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assert_eq!(format(
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and(vec![less_or_equal(term_1(), term_2()), less_or_equal(term_3(), term_4()),
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less_or_equal(term_2(), term_4())])),
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"(a + b) * c <= |d - e| and a ** b ** c <= -f(5, X + 3) and |d - e| <= -f(5, X + 3)");
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assert_eq!(format(
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and(vec![greater_or_equal(term_1(), term_2()), greater_or_equal(term_3(), term_4()),
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greater_or_equal(term_2(), term_4())])),
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"(a + b) * c >= |d - e| and a ** b ** c >= -f(5, X + 3) and |d - e| >= -f(5, X + 3)");
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assert_eq!(format(
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and(vec![equal(term_1(), term_2()), equal(term_3(), term_4()),
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equal(term_2(), term_4())])),
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"(a + b) * c = |d - e| and a ** b ** c = -f(5, X + 3) and |d - e| = -f(5, X + 3)");
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assert_eq!(format(
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and(vec![not_equal(term_1(), term_2()), not_equal(term_3(), term_4()),
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not_equal(term_2(), term_4())])),
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"(a + b) * c != |d - e| and a ** b ** c != -f(5, X + 3) and |d - e| != -f(5, X + 3)");
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assert_eq!(format(
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or(vec![greater(term_1(), term_2()), greater(term_3(), term_4()),
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greater(term_2(), term_4())])),
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"(a + b) * c > |d - e| or a ** b ** c > -f(5, X + 3) or |d - e| > -f(5, X + 3)");
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assert_eq!(format(
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or(vec![less(term_1(), term_2()), less(term_3(), term_4()),
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less(term_2(), term_4())])),
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"(a + b) * c < |d - e| or a ** b ** c < -f(5, X + 3) or |d - e| < -f(5, X + 3)");
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assert_eq!(format(
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or(vec![less_or_equal(term_1(), term_2()), less_or_equal(term_3(), term_4()),
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less_or_equal(term_2(), term_4())])),
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"(a + b) * c <= |d - e| or a ** b ** c <= -f(5, X + 3) or |d - e| <= -f(5, X + 3)");
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assert_eq!(format(
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or(vec![greater_or_equal(term_1(), term_2()), greater_or_equal(term_3(), term_4()),
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greater_or_equal(term_2(), term_4())])),
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"(a + b) * c >= |d - e| or a ** b ** c >= -f(5, X + 3) or |d - e| >= -f(5, X + 3)");
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assert_eq!(format(
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or(vec![equal(term_1(), term_2()), equal(term_3(), term_4()),
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equal(term_2(), term_4())])),
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"(a + b) * c = |d - e| or a ** b ** c = -f(5, X + 3) or |d - e| = -f(5, X + 3)");
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assert_eq!(format(
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or(vec![not_equal(term_1(), term_2()), not_equal(term_3(), term_4()),
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not_equal(term_2(), term_4())])),
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"(a + b) * c != |d - e| or a ** b ** c != -f(5, X + 3) or |d - e| != -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, greater(term_1(), term_2()),
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greater(term_3(), term_4()))),
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"(a + b) * c > |d - e| -> a ** b ** c > -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, less(term_1(), term_2()),
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less(term_3(), term_4()))),
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"(a + b) * c < |d - e| -> a ** b ** c < -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, less_or_equal(term_1(), term_2()),
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less_or_equal(term_3(), term_4()))),
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"(a + b) * c <= |d - e| -> a ** b ** c <= -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, greater_or_equal(term_1(), term_2()),
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greater_or_equal(term_3(), term_4()))),
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"(a + b) * c >= |d - e| -> a ** b ** c >= -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, equal(term_1(), term_2()),
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equal(term_3(), term_4()))),
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"(a + b) * c = |d - e| -> a ** b ** c = -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::LeftToRight, not_equal(term_1(), term_2()),
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not_equal(term_3(), term_4()))),
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"(a + b) * c != |d - e| -> a ** b ** c != -f(5, X + 3)");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, greater(term_1(), term_2()),
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greater(term_3(), term_4()))),
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"a ** b ** c > -f(5, X + 3) <- (a + b) * c > |d - e|");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, less(term_1(), term_2()),
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less(term_3(), term_4()))),
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"a ** b ** c < -f(5, X + 3) <- (a + b) * c < |d - e|");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, less_or_equal(term_1(), term_2()),
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less_or_equal(term_3(), term_4()))),
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"a ** b ** c <= -f(5, X + 3) <- (a + b) * c <= |d - e|");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, greater_or_equal(term_1(), term_2()),
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greater_or_equal(term_3(), term_4()))),
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"a ** b ** c >= -f(5, X + 3) <- (a + b) * c >= |d - e|");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, equal(term_1(), term_2()),
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equal(term_3(), term_4()))),
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"a ** b ** c = -f(5, X + 3) <- (a + b) * c = |d - e|");
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assert_eq!(format(
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implies(ImplicationDirection::RightToLeft, not_equal(term_1(), term_2()),
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not_equal(term_3(), term_4()))),
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"a ** b ** c != -f(5, X + 3) <- (a + b) * c != |d - e|");
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assert_eq!(format(
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if_and_only_if(vec![greater(term_1(), term_2()), greater(term_3(), term_4()),
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greater(term_2(), term_4())])),
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"(a + b) * c > |d - e| <-> a ** b ** c > -f(5, X + 3) <-> |d - e| > -f(5, X + 3)");
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assert_eq!(format(
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if_and_only_if(vec![less(term_1(), term_2()), less(term_3(), term_4()),
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less(term_2(), term_4())])),
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"(a + b) * c < |d - e| <-> a ** b ** c < -f(5, X + 3) <-> |d - e| < -f(5, X + 3)");
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assert_eq!(format(
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if_and_only_if(vec![less_or_equal(term_1(), term_2()),
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less_or_equal(term_3(), term_4()), less_or_equal(term_2(), term_4())])),
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"(a + b) * c <= |d - e| <-> a ** b ** c <= -f(5, X + 3) <-> |d - e| <= -f(5, X + 3)");
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assert_eq!(format(
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if_and_only_if(vec![greater_or_equal(term_1(), term_2()),
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greater_or_equal(term_3(), term_4()), greater_or_equal(term_2(), term_4())])),
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"(a + b) * c >= |d - e| <-> a ** b ** c >= -f(5, X + 3) <-> |d - e| >= -f(5, X + 3)");
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assert_eq!(format(
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if_and_only_if(vec![equal(term_1(), term_2()), equal(term_3(), term_4()),
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equal(term_2(), term_4())])),
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"(a + b) * c = |d - e| <-> a ** b ** c = -f(5, X + 3) <-> |d - e| = -f(5, X + 3)");
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assert_eq!(format(
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if_and_only_if(vec![not_equal(term_1(), term_2()), not_equal(term_3(), term_4()),
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not_equal(term_2(), term_4())])),
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"(a + b) * c != |d - e| <-> a ** b ** c != -f(5, X + 3) <-> |d - e| != -f(5, X + 3)");
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}
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}
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