diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md
index b8a3fed54..0f49076de 100644
--- a/BREAKING-CHANGES.md
+++ b/BREAKING-CHANGES.md
@@ -621,6 +621,25 @@ too ([#1409](https://github.com/asc-community/AngouriMath/issues/1409)). `subset
| `{1, 3} in powerset(ZZ)` | `UnrecognizedFunctionParseException` | `True` |
| `card({1, {}})` | `#{ 1, { } }` — left as written | `2` |
+### An integer range is listed, and a family of sets has a union and an intersection
+
+`ZZ /\ [1; 10]` lists its members now — an integer set cut by a numeric interval with at most
+4096 members in it is the finite set of them, the `[n] = {1, …, n}` of combinatorics being
+`ZZ+ /\ [1; n]`; the reals and the complex numbers cut by an interval are the interval, and the
+rationals stay as written. `union(A_k, k in I)` and `intersection(A_k, k in I)` are
+`Entity.Set.IndexedUnionf` and `Entity.Set.IndexedIntersectionf`, binders like `sum`: folded over
+a listed index set, and over any other an object whose membership is decided by the quantifiers
+(`0 in intersection([0; 1/n), n in ZZ+)` is `True`). `complement(A, U)` is `U \ A`
+([#1409](https://github.com/asc-community/AngouriMath/issues/1409)). `union`, `intersection` and
+`complement` are keywords now, and were names.
+
+| Input | Was (2.5.0) | Now |
+|---|---|---|
+| `ZZ /\ [1; 10]` | `ZZ /\ [1; 10]` — left as written | `{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }` |
+| `RR /\ [0; 1]` | `RR /\ [0; 1]` — left as written | `[0; 1]` |
+| `union({k, 2 k}, k in {1, 2, 3})` | `UnhandledParseException` — `union` was a name, and `union(` a juxtaposition that does not parse | `{ 1, 2, 4, 3, 6 }` |
+| `0.1 in intersection([0; 1/n), n in ZZ+)` | `UnhandledParseException` | `False` |
+| `complement({1, 2}, {1, 2, 3})` | `UnhandledParseException` | `{ 3 }` |
### An exponential of a multiple of a logarithm is integrated as the power it is
`e^(k ln(q))` is `q^k` — the definition of the principal power, for every complex `q` other than
diff --git a/Sources/.editorconfig b/Sources/.editorconfig
index cc37268d3..07869921d 100644
--- a/Sources/.editorconfig
+++ b/Sources/.editorconfig
@@ -291,6 +291,9 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed
[AngouriMath/Functions/NumberTheory/ResidueClasses.cs]
file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n
+[Tests/UnitTests/Core/Sets/IndexedSetOperationTest.cs]
+file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n
+
[Tests/UnitTests/Calculus/ExponentialOfALogarithmIntegralTest.cs]
file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n
diff --git a/Sources/AngouriMath/Convenience/MathS.cs b/Sources/AngouriMath/Convenience/MathS.cs
index 20ef5244c..be4d86452 100644
--- a/Sources/AngouriMath/Convenience/MathS.cs
+++ b/Sources/AngouriMath/Convenience/MathS.cs
@@ -6262,6 +6262,36 @@ public static class Sets
///
public static Entity Subset(Entity sub, Entity super) => new Subsetf(sub, super);
+ ///
+ /// The union of a family of sets indexed by ranging over
+ /// : union(A_i, i in I), the set of what is in some
+ /// A_i. Folded over a listed index set; a membership object otherwise.
+ ///
+ ///
+ ///
+ /// Console.WriteLine("union({k, 2 k}, k in {1, 2, 3})".ToEntity().Evaled);
+ ///
+ /// Prints
+ ///
+ /// { 1, 2, 4, 3, 6 }
+ ///
+ ///
+ public static Set IndexedUnion(Entity body, Entity var, Entity over) => new IndexedUnionf(var, over, body);
+
+ ///
+ /// The intersection of a family of sets indexed by ranging
+ /// over : intersection(A_i, i in I), the set of what
+ /// is in every A_i.
+ ///
+ public static Set IndexedIntersection(Entity body, Entity var, Entity over) => new IndexedIntersectionf(var, over, body);
+
+ ///
+ /// The complement of relative to the universe
+ /// , which is universe \ set: a complement is
+ /// always relative to a universe, there being no set of everything.
+ ///
+ public static Set Complement(Entity set, Entity universe) => universe.SetSubtract(set);
+
/// A set of all Complexes/>s
public static Set C => SpecialSet.Create(Domain.Complex);
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
index d2e480c08..bca4cde3b 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
@@ -550,6 +550,9 @@ atom returns[Entity value]
| 'phi(' args = function_arguments ')' { Assert("phi", 1, $args.list.Count); $value = MathS.NumberTheory.Phi($args.list[0]); }
| 'card(' args = function_arguments ')' { Assert("card", 1, $args.list.Count); $value = MathS.Sets.Card($args.list[0]); }
| 'powerset(' args = function_arguments ')' { Assert("powerset", 1, $args.list.Count); $value = MathS.Sets.PowerSet($args.list[0]); }
+ | 'union(' args = function_arguments ')' { Assert("union", 2, $args.list.Count); $value = $args.list[1] is Entity.Set.Inf { Element: Variable } unionRange ? MathS.Sets.IndexedUnion($args.list[0], unionRange.Element, unionRange.SupSet) : throw new InvalidArgumentParseException("union expects its second argument to say which name ranges over which set, as in union(A_i, i in I)"); }
+ | 'intersection(' args = function_arguments ')' { Assert("intersection", 2, $args.list.Count); $value = $args.list[1] is Entity.Set.Inf { Element: Variable } intersectionRange ? MathS.Sets.IndexedIntersection($args.list[0], intersectionRange.Element, intersectionRange.SupSet) : throw new InvalidArgumentParseException("intersection expects its second argument to say which name ranges over which set, as in intersection(A_i, i in I)"); }
+ | 'complement(' args = function_arguments ')' { Assert("complement", 2, $args.list.Count); $value = MathS.Sets.Complement($args.list[0], $args.list[1]); }
| 'floor(' args = function_arguments ')' { Assert("floor", 1, $args.list.Count); $value = MathS.Floor($args.list[0]); }
| 'ceil(' args = function_arguments ')' { Assert("ceil", 1, $args.list.Count); $value = MathS.Ceil($args.list[0]); }
/* SymPy's spelling, accepted so that an expression copied from there parses. Stringize
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
index c17c1e64d..09c10f876 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
@@ -146,6 +146,9 @@ null
'phi('
'card('
'powerset('
+'union('
+'intersection('
+'complement('
'floor('
'ceil('
'ceiling('
@@ -339,6 +342,9 @@ null
null
null
null
+null
+null
+null
NEWLINE
NUMBER
SPECIALSET
@@ -377,4 +383,4 @@ statement
atn:
-[4, 1, 172, 1004, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 3, 0, 58, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 64, 8, 1, 11, 1, 12, 1, 65, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 72, 8, 1, 11, 1, 12, 1, 73, 3, 1, 76, 8, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 83, 8, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 3, 93, 8, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 3, 103, 8, 3, 1, 3, 1, 3, 1, 3, 3, 3, 108, 8, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 5, 4, 124, 8, 4, 10, 4, 12, 4, 127, 9, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 5, 5, 139, 8, 5, 10, 5, 12, 5, 142, 9, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 5, 6, 154, 8, 6, 10, 6, 12, 6, 157, 9, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 5, 7, 177, 8, 7, 10, 7, 12, 7, 180, 9, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 5, 8, 212, 8, 8, 10, 8, 12, 8, 215, 9, 8, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 233, 8, 9, 1, 9, 1, 9, 1, 9, 5, 9, 238, 8, 9, 10, 9, 12, 9, 241, 9, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 249, 8, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 3, 10, 268, 8, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 5, 11, 280, 8, 11, 10, 11, 12, 11, 283, 9, 11, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 5, 12, 291, 8, 12, 10, 12, 12, 12, 294, 9, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 5, 13, 302, 8, 13, 10, 13, 12, 13, 305, 9, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 5, 14, 317, 8, 14, 10, 14, 12, 14, 320, 9, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 3, 15, 328, 8, 15, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 3, 16, 336, 8, 16, 1, 16, 1, 16, 1, 16, 3, 16, 341, 8, 16, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 3, 18, 355, 8, 18, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 5, 19, 363, 8, 19, 10, 19, 12, 19, 366, 9, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 5, 20, 376, 8, 20, 10, 20, 12, 20, 379, 9, 20, 3, 20, 381, 8, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 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757, 1, 0, 0, 0, 1012, 762, 1, 0, 0, 0, 1012, 767, 1, 0, 0, 0, 1012, 772, 1, 0, 0, 0, 1012, 777, 1, 0, 0, 0, 1012, 782, 1, 0, 0, 0, 1012, 787, 1, 0, 0, 0, 1012, 792, 1, 0, 0, 0, 1012, 797, 1, 0, 0, 0, 1012, 802, 1, 0, 0, 0, 1012, 807, 1, 0, 0, 0, 1012, 812, 1, 0, 0, 0, 1012, 817, 1, 0, 0, 0, 1012, 822, 1, 0, 0, 0, 1012, 827, 1, 0, 0, 0, 1012, 832, 1, 0, 0, 0, 1012, 837, 1, 0, 0, 0, 1012, 842, 1, 0, 0, 0, 1012, 847, 1, 0, 0, 0, 1012, 852, 1, 0, 0, 0, 1012, 857, 1, 0, 0, 0, 1012, 862, 1, 0, 0, 0, 1012, 867, 1, 0, 0, 0, 1012, 872, 1, 0, 0, 0, 1012, 877, 1, 0, 0, 0, 1012, 882, 1, 0, 0, 0, 1012, 887, 1, 0, 0, 0, 1012, 892, 1, 0, 0, 0, 1012, 897, 1, 0, 0, 0, 1012, 902, 1, 0, 0, 0, 1012, 907, 1, 0, 0, 0, 1012, 912, 1, 0, 0, 0, 1012, 917, 1, 0, 0, 0, 1012, 922, 1, 0, 0, 0, 1012, 927, 1, 0, 0, 0, 1012, 932, 1, 0, 0, 0, 1012, 937, 1, 0, 0, 0, 1012, 942, 1, 0, 0, 0, 1012, 947, 1, 0, 0, 0, 1012, 952, 1, 0, 0, 0, 1012, 957, 1, 0, 0, 0, 1012, 962, 1, 0, 0, 0, 1012, 967, 1, 0, 0, 0, 1012, 972, 1, 0, 0, 0, 1012, 977, 1, 0, 0, 0, 1012, 982, 1, 0, 0, 0, 1012, 987, 1, 0, 0, 0, 1012, 992, 1, 0, 0, 0, 1012, 997, 1, 0, 0, 0, 1012, 1002, 1, 0, 0, 0, 1012, 1007, 1, 0, 0, 0, 1013, 47, 1, 0, 0, 0, 1014, 1015, 3, 32, 16, 0, 1015, 1016, 5, 0, 0, 1, 1016, 1017, 6, 24, -1, 0, 1017, 49, 1, 0, 0, 0, 36, 57, 65, 73, 75, 82, 92, 102, 107, 123, 125, 138, 140, 153, 155, 176, 178, 211, 213, 232, 239, 248, 267, 279, 281, 292, 303, 316, 318, 327, 335, 340, 354, 364, 377, 380, 1012]
\ No newline at end of file
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
index 5921f1e51..425ad0017 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
@@ -162,14 +162,17 @@ T__160=161
T__161=162
T__162=163
T__163=164
-NEWLINE=165
-NUMBER=166
-SPECIALSET=167
-BOOLEAN=168
-NAN=169
-VARIABLE=170
-COMMENT=171
-WS=172
+T__164=165
+T__165=166
+T__166=167
+NEWLINE=168
+NUMBER=169
+SPECIALSET=170
+BOOLEAN=171
+NAN=172
+VARIABLE=173
+COMMENT=174
+WS=175
'!'=1
'^'=2
'-'=3
@@ -316,22 +319,25 @@ WS=172
'phi('=144
'card('=145
'powerset('=146
-'floor('=147
-'ceil('=148
-'ceiling('=149
-'round('=150
-'min('=151
-'max('=152
-'argmax('=153
-'argmin('=154
-'gcd('=155
-'lcm('=156
-'binomial('=157
-'trunc('=158
-'erf('=159
-'conjugate('=160
-'domain('=161
-'piecewise('=162
-'apply('=163
-'lambda('=164
-'NaN'=169
+'union('=147
+'intersection('=148
+'complement('=149
+'floor('=150
+'ceil('=151
+'ceiling('=152
+'round('=153
+'min('=154
+'max('=155
+'argmax('=156
+'argmin('=157
+'gcd('=158
+'lcm('=159
+'binomial('=160
+'trunc('=161
+'erf('=162
+'conjugate('=163
+'domain('=164
+'piecewise('=165
+'apply('=166
+'lambda('=167
+'NaN'=172
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
index aa8e45157..d320d4af2 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
@@ -58,8 +58,9 @@ public const int
T__143=144, T__144=145, T__145=146, T__146=147, T__147=148, T__148=149,
T__149=150, T__150=151, T__151=152, T__152=153, T__153=154, T__154=155,
T__155=156, T__156=157, T__157=158, T__158=159, T__159=160, T__160=161,
- T__161=162, T__162=163, T__163=164, NEWLINE=165, NUMBER=166, SPECIALSET=167,
- BOOLEAN=168, NAN=169, VARIABLE=170, COMMENT=171, WS=172;
+ T__161=162, T__162=163, T__163=164, T__164=165, T__165=166, T__166=167,
+ NEWLINE=168, NUMBER=169, SPECIALSET=170, BOOLEAN=171, NAN=172, VARIABLE=173,
+ COMMENT=174, WS=175;
public static string[] channelNames = {
"DEFAULT_TOKEN_CHANNEL", "HIDDEN"
};
@@ -90,8 +91,9 @@ public const int
"T__140", "T__141", "T__142", "T__143", "T__144", "T__145", "T__146",
"T__147", "T__148", "T__149", "T__150", "T__151", "T__152", "T__153",
"T__154", "T__155", "T__156", "T__157", "T__158", "T__159", "T__160",
- "T__161", "T__162", "T__163", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET",
- "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
+ "T__161", "T__162", "T__163", "T__164", "T__165", "T__166", "NEWLINE",
+ "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT",
+ "WS"
};
@@ -133,10 +135,11 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu
"'arcosech('", "'arcsch('", "'arccosech('", "'acsch('", "'factorial('",
"'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('",
"'limitright('", "'sum('", "'product('", "'signum('", "'sgn('", "'sign('",
- "'abs('", "'phi('", "'card('", "'powerset('", "'floor('", "'ceil('", "'ceiling('",
- "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('",
- "'binomial('", "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('",
- "'apply('", "'lambda('", null, null, null, null, "'NaN'"
+ "'abs('", "'phi('", "'card('", "'powerset('", "'union('", "'intersection('",
+ "'complement('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('",
+ "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('",
+ "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", "'apply('",
+ "'lambda('", null, null, null, null, "'NaN'"
};
private static readonly string[] _SymbolicNames = {
null, null, null, null, null, null, null, null, null, null, null, null,
@@ -152,8 +155,9 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
- null, null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER",
- "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
+ null, null, null, null, null, null, null, null, null, null, null, null,
+ "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT",
+ "WS"
};
public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
@@ -183,7 +187,7 @@ static AngouriMathLexer() {
}
}
private static int[] _serializedATN = {
- 4,0,172,1467,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,
+ 4,0,175,1506,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,
7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,
14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,
21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,2,26,7,26,2,27,7,27,2,
@@ -209,481 +213,496 @@ static AngouriMathLexer() {
7,152,2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158,
7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163,2,164,
7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169,7,169,2,170,
- 7,170,2,171,7,171,2,172,7,172,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,
- 1,5,1,5,1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,8,1,
- 8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,10,1,10,1,10,1,11,1,11,1,11,1,11,1,11,
- 1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,12,1,12,1,13,1,13,1,13,1,14,1,14,
- 1,14,1,14,1,14,1,14,1,14,1,15,1,15,1,16,1,16,1,16,1,16,1,16,1,16,1,16,
- 1,16,1,16,1,17,1,17,1,18,1,18,1,18,1,18,1,18,1,18,1,18,1,18,1,19,1,19,
- 1,20,1,20,1,20,1,21,1,21,1,21,1,22,1,22,1,23,1,23,1,24,1,24,1,25,1,25,
- 1,25,1,26,1,26,1,27,1,27,1,28,1,28,1,29,1,29,1,29,1,29,1,30,1,30,1,30,
- 1,30,1,31,1,31,1,32,1,32,1,32,1,32,1,33,1,33,1,33,1,34,1,34,1,34,1,34,
- 1,34,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36,1,36,1,36,1,36,1,36,1,36,
- 1,36,1,36,1,37,1,37,1,37,1,38,1,38,1,39,1,39,1,39,1,39,1,39,1,39,1,39,
- 1,40,1,40,1,41,1,41,1,41,1,41,1,41,1,41,1,41,1,41,1,42,1,42,1,42,1,43,
- 1,43,1,43,1,43,1,43,1,43,1,43,1,44,1,44,1,45,1,45,1,46,1,46,1,47,1,47,
- 1,47,1,47,1,48,1,48,1,48,1,48,1,49,1,49,1,49,1,50,1,50,1,50,1,51,1,51,
- 1,52,1,52,1,53,1,53,1,53,1,54,1,54,1,55,1,55,1,56,1,56,1,57,1,57,1,57,
- 1,57,1,57,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,59,
- 1,59,1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,
- 1,62,1,62,1,62,1,62,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,65,
- 1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,
- 1,68,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69,1,69,1,69,1,69,1,70,1,70,
- 1,70,1,70,1,70,1,71,1,71,1,71,1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,72,
- 1,72,1,73,1,73,1,73,1,73,1,73,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,
- 1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1,76,1,76,1,76,
- 1,76,1,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78,
- 1,78,1,78,1,78,1,78,1,78,1,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,
- 1,79,1,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,81,1,81,1,81,1,81,
- 1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1,83,1,83,1,83,1,83,
- 1,84,1,84,1,84,1,84,1,84,1,84,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,
- 1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,
- 1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,
- 1,90,1,90,1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,
- 1,92,1,92,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,94,1,95,1,95,
- 1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,97,1,97,1,97,1,97,
- 1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,99,1,99,1,100,
- 1,100,1,100,1,100,1,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,
- 1,102,1,102,1,102,1,102,1,102,1,102,1,103,1,103,1,103,1,103,1,103,1,103,
- 1,103,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,
- 1,105,1,105,1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,
- 1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108,
- 1,108,1,108,1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,110,1,110,1,110,
- 1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111,
- 1,111,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,113,1,113,1,113,
- 1,113,1,113,1,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,
- 1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,
- 1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,
- 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119,
- 1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120,1,120,1,120,
- 1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,122,
- 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,123,1,123,1,123,1,123,1,123,
- 1,123,1,123,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,125,
- 1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,
- 1,126,1,126,1,126,1,126,1,126,1,126,1,127,1,127,1,127,1,127,1,127,1,127,
- 1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,
- 1,128,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130,
- 1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,
- 1,131,1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,
- 1,132,1,132,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,
- 1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135,
- 1,135,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136,1,136,1,136,1,136,
- 1,136,1,136,1,136,1,136,1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,138,
- 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139,1,139,
- 1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,141,1,141,1,141,
- 1,141,1,141,1,141,1,142,1,142,1,142,1,142,1,142,1,143,1,143,1,143,1,143,
- 1,143,1,144,1,144,1,144,1,144,1,144,1,144,1,145,1,145,1,145,1,145,1,145,
- 1,145,1,145,1,145,1,145,1,145,1,146,1,146,1,146,1,146,1,146,1,146,1,146,
- 1,147,1,147,1,147,1,147,1,147,1,147,1,148,1,148,1,148,1,148,1,148,1,148,
- 1,148,1,148,1,148,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,150,1,150,
- 1,150,1,150,1,150,1,151,1,151,1,151,1,151,1,151,1,152,1,152,1,152,1,152,
- 1,152,1,152,1,152,1,152,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,
- 1,154,1,154,1,154,1,154,1,154,1,155,1,155,1,155,1,155,1,155,1,156,1,156,
- 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,157,1,157,1,157,1,157,
- 1,157,1,157,1,157,1,158,1,158,1,158,1,158,1,158,1,159,1,159,1,159,1,159,
- 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,160,1,160,1,160,1,160,1,160,
- 1,160,1,160,1,160,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,
- 1,161,1,161,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,163,1,163,1,163,
- 1,163,1,163,1,163,1,163,1,163,1,164,3,164,1323,8,164,1,164,4,164,1326,
- 8,164,11,164,12,164,1327,1,164,1,164,1,165,1,165,3,165,1334,8,165,1,165,
- 4,165,1337,8,165,11,165,12,165,1338,1,166,4,166,1342,8,166,11,166,12,166,
- 1343,1,166,1,166,5,166,1348,8,166,10,166,12,166,1351,9,166,1,166,3,166,
- 1354,8,166,1,166,3,166,1357,8,166,1,166,3,166,1360,8,166,1,166,4,166,1363,
- 8,166,11,166,12,166,1364,1,166,3,166,1368,8,166,1,166,3,166,1371,8,166,
- 1,166,3,166,1374,8,166,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,
- 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,3,167,1392,8,167,1,168,
- 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,
- 1,168,1,168,1,168,1,168,1,168,3,168,1412,8,168,1,169,1,169,1,169,1,169,
- 1,170,4,170,1419,8,170,11,170,12,170,1420,1,170,1,170,4,170,1425,8,170,
- 11,170,12,170,1426,3,170,1429,8,170,1,171,1,171,1,171,1,171,5,171,1435,
- 8,171,10,171,12,171,1438,9,171,1,171,3,171,1441,8,171,1,171,3,171,1444,
- 8,171,1,171,1,171,1,171,1,171,5,171,1450,8,171,10,171,12,171,1453,9,171,
- 1,171,1,171,3,171,1457,8,171,1,171,1,171,1,172,4,172,1462,8,172,11,172,
- 12,172,1463,1,172,1,172,1,1451,0,173,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,
- 8,17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19,39,
- 20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,61,31,63,
- 32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,
- 44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,52,105,53,107,54,109,
- 55,111,56,113,57,115,58,117,59,119,60,121,61,123,62,125,63,127,64,129,
- 65,131,66,133,67,135,68,137,69,139,70,141,71,143,72,145,73,147,74,149,
- 75,151,76,153,77,155,78,157,79,159,80,161,81,163,82,165,83,167,84,169,
- 85,171,86,173,87,175,88,177,89,179,90,181,91,183,92,185,93,187,94,189,
- 95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205,103,207,104,
- 209,105,211,106,213,107,215,108,217,109,219,110,221,111,223,112,225,113,
- 227,114,229,115,231,116,233,117,235,118,237,119,239,120,241,121,243,122,
- 245,123,247,124,249,125,251,126,253,127,255,128,257,129,259,130,261,131,
- 263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139,279,140,
- 281,141,283,142,285,143,287,144,289,145,291,146,293,147,295,148,297,149,
- 299,150,301,151,303,152,305,153,307,154,309,155,311,156,313,157,315,158,
- 317,159,319,160,321,161,323,162,325,163,327,164,329,165,331,0,333,166,
- 335,167,337,168,339,169,341,170,343,171,345,172,1,0,6,2,0,69,69,101,101,
- 2,0,43,43,45,45,4,0,65,90,97,122,880,1279,7936,8191,5,0,48,57,65,90,97,
- 122,880,1279,7936,8191,2,0,10,10,13,13,2,0,9,9,32,32,1497,0,1,1,0,0,0,
- 0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,
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- 0,47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,
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- 1,0,0,0,9,355,1,0,0,0,11,357,1,0,0,0,13,359,1,0,0,0,15,363,1,0,0,0,17,
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- 1373,1391,1411,1420,1426,1428,1436,1440,1443,1451,1456,1463,1,6,0,0
+ 7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174,2,175,7,175,1,0,
+ 1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,6,1,6,1,6,1,6,1,7,1,7,1,
+ 7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,10,
+ 1,10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,
+ 1,12,1,12,1,13,1,13,1,13,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,15,1,15,
+ 1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,17,1,17,1,18,1,18,1,18,
+ 1,18,1,18,1,18,1,18,1,18,1,19,1,19,1,20,1,20,1,20,1,21,1,21,1,21,1,22,
+ 1,22,1,23,1,23,1,24,1,24,1,25,1,25,1,25,1,26,1,26,1,27,1,27,1,28,1,28,
+ 1,29,1,29,1,29,1,29,1,30,1,30,1,30,1,30,1,31,1,31,1,32,1,32,1,32,1,32,
+ 1,33,1,33,1,33,1,34,1,34,1,34,1,34,1,34,1,34,1,34,1,34,1,35,1,35,1,35,
+ 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,38,1,38,
+ 1,39,1,39,1,39,1,39,1,39,1,39,1,39,1,40,1,40,1,41,1,41,1,41,1,41,1,41,
+ 1,41,1,41,1,41,1,42,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,43,1,43,1,44,
+ 1,44,1,45,1,45,1,46,1,46,1,47,1,47,1,47,1,47,1,48,1,48,1,48,1,48,1,49,
+ 1,49,1,49,1,50,1,50,1,50,1,51,1,51,1,52,1,52,1,53,1,53,1,53,1,54,1,54,
+ 1,55,1,55,1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58,
+ 1,58,1,58,1,59,1,59,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,61,
+ 1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,63,1,63,1,63,
+ 1,63,1,63,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,
+ 1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,69,1,69,
+ 1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71,
+ 1,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,74,
+ 1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,75,1,75,
+ 1,75,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,77,
+ 1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,79,
+ 1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80,1,80,
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+ 1446,5,70,0,0,1446,1447,5,97,0,0,1447,1448,5,108,0,0,1448,1449,5,115,0,
+ 0,1449,1451,5,101,0,0,1450,1432,1,0,0,0,1450,1436,1,0,0,0,1450,1440,1,
+ 0,0,0,1450,1445,1,0,0,0,1451,344,1,0,0,0,1452,1453,5,78,0,0,1453,1454,
+ 5,97,0,0,1454,1455,5,78,0,0,1455,346,1,0,0,0,1456,1458,7,2,0,0,1457,1456,
+ 1,0,0,0,1458,1459,1,0,0,0,1459,1457,1,0,0,0,1459,1460,1,0,0,0,1460,1467,
+ 1,0,0,0,1461,1463,5,95,0,0,1462,1464,7,3,0,0,1463,1462,1,0,0,0,1464,1465,
+ 1,0,0,0,1465,1463,1,0,0,0,1465,1466,1,0,0,0,1466,1468,1,0,0,0,1467,1461,
+ 1,0,0,0,1467,1468,1,0,0,0,1468,348,1,0,0,0,1469,1470,5,47,0,0,1470,1471,
+ 5,47,0,0,1471,1475,1,0,0,0,1472,1474,8,4,0,0,1473,1472,1,0,0,0,1474,1477,
+ 1,0,0,0,1475,1473,1,0,0,0,1475,1476,1,0,0,0,1476,1482,1,0,0,0,1477,1475,
+ 1,0,0,0,1478,1480,5,13,0,0,1479,1478,1,0,0,0,1479,1480,1,0,0,0,1480,1481,
+ 1,0,0,0,1481,1483,5,10,0,0,1482,1479,1,0,0,0,1482,1483,1,0,0,0,1483,1496,
+ 1,0,0,0,1484,1485,5,47,0,0,1485,1486,5,42,0,0,1486,1490,1,0,0,0,1487,1489,
+ 9,0,0,0,1488,1487,1,0,0,0,1489,1492,1,0,0,0,1490,1491,1,0,0,0,1490,1488,
+ 1,0,0,0,1491,1493,1,0,0,0,1492,1490,1,0,0,0,1493,1494,5,42,0,0,1494,1496,
+ 5,47,0,0,1495,1469,1,0,0,0,1495,1484,1,0,0,0,1496,1497,1,0,0,0,1497,1498,
+ 6,174,0,0,1498,350,1,0,0,0,1499,1501,7,5,0,0,1500,1499,1,0,0,0,1501,1502,
+ 1,0,0,0,1502,1500,1,0,0,0,1502,1503,1,0,0,0,1503,1504,1,0,0,0,1504,1505,
+ 6,175,0,0,1505,352,1,0,0,0,25,0,1361,1366,1372,1377,1382,1388,1392,1395,
+ 1398,1403,1406,1409,1412,1430,1450,1459,1465,1467,1475,1479,1482,1490,
+ 1495,1502,1,6,0,0
};
public static readonly ATN _ATN =
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
index 8659c809a..03cf1d837 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
@@ -146,6 +146,9 @@ null
'phi('
'card('
'powerset('
+'union('
+'intersection('
+'complement('
'floor('
'ceil('
'ceiling('
@@ -339,6 +342,9 @@ null
null
null
null
+null
+null
+null
NEWLINE
NUMBER
SPECIALSET
@@ -513,6 +519,9 @@ T__160
T__161
T__162
T__163
+T__164
+T__165
+T__166
NEWLINE
EXPONENT
NUMBER
@@ -531,4 +540,4 @@ mode names:
DEFAULT_MODE
atn:
-[4, 0, 172, 1467, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 2, 136, 7, 136, 2, 137, 7, 137, 2, 138, 7, 138, 2, 139, 7, 139, 2, 140, 7, 140, 2, 141, 7, 141, 2, 142, 7, 142, 2, 143, 7, 143, 2, 144, 7, 144, 2, 145, 7, 145, 2, 146, 7, 146, 2, 147, 7, 147, 2, 148, 7, 148, 2, 149, 7, 149, 2, 150, 7, 150, 2, 151, 7, 151, 2, 152, 7, 152, 2, 153, 7, 153, 2, 154, 7, 154, 2, 155, 7, 155, 2, 156, 7, 156, 2, 157, 7, 157, 2, 158, 7, 158, 2, 159, 7, 159, 2, 160, 7, 160, 2, 161, 7, 161, 2, 162, 7, 162, 2, 163, 7, 163, 2, 164, 7, 164, 2, 165, 7, 165, 2, 166, 7, 166, 2, 167, 7, 167, 2, 168, 7, 168, 2, 169, 7, 169, 2, 170, 7, 170, 2, 171, 7, 171, 2, 172, 7, 172, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 17, 1, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 23, 1, 23, 1, 24, 1, 24, 1, 25, 1, 25, 1, 25, 1, 26, 1, 26, 1, 27, 1, 27, 1, 28, 1, 28, 1, 29, 1, 29, 1, 29, 1, 29, 1, 30, 1, 30, 1, 30, 1, 30, 1, 31, 1, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 1, 35, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 40, 1, 40, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 42, 1, 42, 1, 42, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 45, 1, 45, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 55, 1, 55, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 74, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 76, 1, 76, 1, 76, 1, 76, 1, 76, 1, 76, 1, 76, 1, 76, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 78, 1, 78, 1, 78, 1, 78, 1, 78, 1, 78, 1, 78, 1, 78, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 91, 1, 91, 1, 91, 1, 91, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 93, 1, 93, 1, 93, 1, 93, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 95, 1, 95, 1, 95, 1, 95, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 113, 1, 113, 1, 113, 1, 113, 1, 113, 1, 113, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 128, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 129, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 130, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 131, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 132, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 133, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 134, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 135, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 136, 1, 137, 1, 137, 1, 137, 1, 137, 1, 137, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 138, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 139, 1, 140, 1, 140, 1, 140, 1, 140, 1, 140, 1, 141, 1, 141, 1, 141, 1, 141, 1, 141, 1, 141, 1, 142, 1, 142, 1, 142, 1, 142, 1, 142, 1, 143, 1, 143, 1, 143, 1, 143, 1, 143, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 144, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 145, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 146, 1, 147, 1, 147, 1, 147, 1, 147, 1, 147, 1, 147, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 148, 1, 149, 1, 149, 1, 149, 1, 149, 1, 149, 1, 149, 1, 149, 1, 150, 1, 150, 1, 150, 1, 150, 1, 150, 1, 151, 1, 151, 1, 151, 1, 151, 1, 151, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 152, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 153, 1, 154, 1, 154, 1, 154, 1, 154, 1, 154, 1, 155, 1, 155, 1, 155, 1, 155, 1, 155, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 156, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 157, 1, 158, 1, 158, 1, 158, 1, 158, 1, 158, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 159, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 160, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 161, 1, 162, 1, 162, 1, 162, 1, 162, 1, 162, 1, 162, 1, 162, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 163, 1, 164, 3, 164, 1323, 8, 164, 1, 164, 4, 164, 1326, 8, 164, 11, 164, 12, 164, 1327, 1, 164, 1, 164, 1, 165, 1, 165, 3, 165, 1334, 8, 165, 1, 165, 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\ No newline at end of file
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1130, 1131, 5, 105, 0, 0, 1131, 1132, 5, 103, 0, 0, 1132, 1133, 5, 104, 0, 0, 1133, 1134, 5, 116, 0, 0, 1134, 1135, 5, 40, 0, 0, 1135, 274, 1, 0, 0, 0, 1136, 1137, 5, 115, 0, 0, 1137, 1138, 5, 117, 0, 0, 1138, 1139, 5, 109, 0, 0, 1139, 1140, 5, 40, 0, 0, 1140, 276, 1, 0, 0, 0, 1141, 1142, 5, 112, 0, 0, 1142, 1143, 5, 114, 0, 0, 1143, 1144, 5, 111, 0, 0, 1144, 1145, 5, 100, 0, 0, 1145, 1146, 5, 117, 0, 0, 1146, 1147, 5, 99, 0, 0, 1147, 1148, 5, 116, 0, 0, 1148, 1149, 5, 40, 0, 0, 1149, 278, 1, 0, 0, 0, 1150, 1151, 5, 115, 0, 0, 1151, 1152, 5, 105, 0, 0, 1152, 1153, 5, 103, 0, 0, 1153, 1154, 5, 110, 0, 0, 1154, 1155, 5, 117, 0, 0, 1155, 1156, 5, 109, 0, 0, 1156, 1157, 5, 40, 0, 0, 1157, 280, 1, 0, 0, 0, 1158, 1159, 5, 115, 0, 0, 1159, 1160, 5, 103, 0, 0, 1160, 1161, 5, 110, 0, 0, 1161, 1162, 5, 40, 0, 0, 1162, 282, 1, 0, 0, 0, 1163, 1164, 5, 115, 0, 0, 1164, 1165, 5, 105, 0, 0, 1165, 1166, 5, 103, 0, 0, 1166, 1167, 5, 110, 0, 0, 1167, 1168, 5, 40, 0, 0, 1168, 284, 1, 0, 0, 0, 1169, 1170, 5, 97, 0, 0, 1170, 1171, 5, 98, 0, 0, 1171, 1172, 5, 115, 0, 0, 1172, 1173, 5, 40, 0, 0, 1173, 286, 1, 0, 0, 0, 1174, 1175, 5, 112, 0, 0, 1175, 1176, 5, 104, 0, 0, 1176, 1177, 5, 105, 0, 0, 1177, 1178, 5, 40, 0, 0, 1178, 288, 1, 0, 0, 0, 1179, 1180, 5, 99, 0, 0, 1180, 1181, 5, 97, 0, 0, 1181, 1182, 5, 114, 0, 0, 1182, 1183, 5, 100, 0, 0, 1183, 1184, 5, 40, 0, 0, 1184, 290, 1, 0, 0, 0, 1185, 1186, 5, 112, 0, 0, 1186, 1187, 5, 111, 0, 0, 1187, 1188, 5, 119, 0, 0, 1188, 1189, 5, 101, 0, 0, 1189, 1190, 5, 114, 0, 0, 1190, 1191, 5, 115, 0, 0, 1191, 1192, 5, 101, 0, 0, 1192, 1193, 5, 116, 0, 0, 1193, 1194, 5, 40, 0, 0, 1194, 292, 1, 0, 0, 0, 1195, 1196, 5, 117, 0, 0, 1196, 1197, 5, 110, 0, 0, 1197, 1198, 5, 105, 0, 0, 1198, 1199, 5, 111, 0, 0, 1199, 1200, 5, 110, 0, 0, 1200, 1201, 5, 40, 0, 0, 1201, 294, 1, 0, 0, 0, 1202, 1203, 5, 105, 0, 0, 1203, 1204, 5, 110, 0, 0, 1204, 1205, 5, 116, 0, 0, 1205, 1206, 5, 101, 0, 0, 1206, 1207, 5, 114, 0, 0, 1207, 1208, 5, 115, 0, 0, 1208, 1209, 5, 101, 0, 0, 1209, 1210, 5, 99, 0, 0, 1210, 1211, 5, 116, 0, 0, 1211, 1212, 5, 105, 0, 0, 1212, 1213, 5, 111, 0, 0, 1213, 1214, 5, 110, 0, 0, 1214, 1215, 5, 40, 0, 0, 1215, 296, 1, 0, 0, 0, 1216, 1217, 5, 99, 0, 0, 1217, 1218, 5, 111, 0, 0, 1218, 1219, 5, 109, 0, 0, 1219, 1220, 5, 112, 0, 0, 1220, 1221, 5, 108, 0, 0, 1221, 1222, 5, 101, 0, 0, 1222, 1223, 5, 109, 0, 0, 1223, 1224, 5, 101, 0, 0, 1224, 1225, 5, 110, 0, 0, 1225, 1226, 5, 116, 0, 0, 1226, 1227, 5, 40, 0, 0, 1227, 298, 1, 0, 0, 0, 1228, 1229, 5, 102, 0, 0, 1229, 1230, 5, 108, 0, 0, 1230, 1231, 5, 111, 0, 0, 1231, 1232, 5, 111, 0, 0, 1232, 1233, 5, 114, 0, 0, 1233, 1234, 5, 40, 0, 0, 1234, 300, 1, 0, 0, 0, 1235, 1236, 5, 99, 0, 0, 1236, 1237, 5, 101, 0, 0, 1237, 1238, 5, 105, 0, 0, 1238, 1239, 5, 108, 0, 0, 1239, 1240, 5, 40, 0, 0, 1240, 302, 1, 0, 0, 0, 1241, 1242, 5, 99, 0, 0, 1242, 1243, 5, 101, 0, 0, 1243, 1244, 5, 105, 0, 0, 1244, 1245, 5, 108, 0, 0, 1245, 1246, 5, 105, 0, 0, 1246, 1247, 5, 110, 0, 0, 1247, 1248, 5, 103, 0, 0, 1248, 1249, 5, 40, 0, 0, 1249, 304, 1, 0, 0, 0, 1250, 1251, 5, 114, 0, 0, 1251, 1252, 5, 111, 0, 0, 1252, 1253, 5, 117, 0, 0, 1253, 1254, 5, 110, 0, 0, 1254, 1255, 5, 100, 0, 0, 1255, 1256, 5, 40, 0, 0, 1256, 306, 1, 0, 0, 0, 1257, 1258, 5, 109, 0, 0, 1258, 1259, 5, 105, 0, 0, 1259, 1260, 5, 110, 0, 0, 1260, 1261, 5, 40, 0, 0, 1261, 308, 1, 0, 0, 0, 1262, 1263, 5, 109, 0, 0, 1263, 1264, 5, 97, 0, 0, 1264, 1265, 5, 120, 0, 0, 1265, 1266, 5, 40, 0, 0, 1266, 310, 1, 0, 0, 0, 1267, 1268, 5, 97, 0, 0, 1268, 1269, 5, 114, 0, 0, 1269, 1270, 5, 103, 0, 0, 1270, 1271, 5, 109, 0, 0, 1271, 1272, 5, 97, 0, 0, 1272, 1273, 5, 120, 0, 0, 1273, 1274, 5, 40, 0, 0, 1274, 312, 1, 0, 0, 0, 1275, 1276, 5, 97, 0, 0, 1276, 1277, 5, 114, 0, 0, 1277, 1278, 5, 103, 0, 0, 1278, 1279, 5, 109, 0, 0, 1279, 1280, 5, 105, 0, 0, 1280, 1281, 5, 110, 0, 0, 1281, 1282, 5, 40, 0, 0, 1282, 314, 1, 0, 0, 0, 1283, 1284, 5, 103, 0, 0, 1284, 1285, 5, 99, 0, 0, 1285, 1286, 5, 100, 0, 0, 1286, 1287, 5, 40, 0, 0, 1287, 316, 1, 0, 0, 0, 1288, 1289, 5, 108, 0, 0, 1289, 1290, 5, 99, 0, 0, 1290, 1291, 5, 109, 0, 0, 1291, 1292, 5, 40, 0, 0, 1292, 318, 1, 0, 0, 0, 1293, 1294, 5, 98, 0, 0, 1294, 1295, 5, 105, 0, 0, 1295, 1296, 5, 110, 0, 0, 1296, 1297, 5, 111, 0, 0, 1297, 1298, 5, 109, 0, 0, 1298, 1299, 5, 105, 0, 0, 1299, 1300, 5, 97, 0, 0, 1300, 1301, 5, 108, 0, 0, 1301, 1302, 5, 40, 0, 0, 1302, 320, 1, 0, 0, 0, 1303, 1304, 5, 116, 0, 0, 1304, 1305, 5, 114, 0, 0, 1305, 1306, 5, 117, 0, 0, 1306, 1307, 5, 110, 0, 0, 1307, 1308, 5, 99, 0, 0, 1308, 1309, 5, 40, 0, 0, 1309, 322, 1, 0, 0, 0, 1310, 1311, 5, 101, 0, 0, 1311, 1312, 5, 114, 0, 0, 1312, 1313, 5, 102, 0, 0, 1313, 1314, 5, 40, 0, 0, 1314, 324, 1, 0, 0, 0, 1315, 1316, 5, 99, 0, 0, 1316, 1317, 5, 111, 0, 0, 1317, 1318, 5, 110, 0, 0, 1318, 1319, 5, 106, 0, 0, 1319, 1320, 5, 117, 0, 0, 1320, 1321, 5, 103, 0, 0, 1321, 1322, 5, 97, 0, 0, 1322, 1323, 5, 116, 0, 0, 1323, 1324, 5, 101, 0, 0, 1324, 1325, 5, 40, 0, 0, 1325, 326, 1, 0, 0, 0, 1326, 1327, 5, 100, 0, 0, 1327, 1328, 5, 111, 0, 0, 1328, 1329, 5, 109, 0, 0, 1329, 1330, 5, 97, 0, 0, 1330, 1331, 5, 105, 0, 0, 1331, 1332, 5, 110, 0, 0, 1332, 1333, 5, 40, 0, 0, 1333, 328, 1, 0, 0, 0, 1334, 1335, 5, 112, 0, 0, 1335, 1336, 5, 105, 0, 0, 1336, 1337, 5, 101, 0, 0, 1337, 1338, 5, 99, 0, 0, 1338, 1339, 5, 101, 0, 0, 1339, 1340, 5, 119, 0, 0, 1340, 1341, 5, 105, 0, 0, 1341, 1342, 5, 115, 0, 0, 1342, 1343, 5, 101, 0, 0, 1343, 1344, 5, 40, 0, 0, 1344, 330, 1, 0, 0, 0, 1345, 1346, 5, 97, 0, 0, 1346, 1347, 5, 112, 0, 0, 1347, 1348, 5, 112, 0, 0, 1348, 1349, 5, 108, 0, 0, 1349, 1350, 5, 121, 0, 0, 1350, 1351, 5, 40, 0, 0, 1351, 332, 1, 0, 0, 0, 1352, 1353, 5, 108, 0, 0, 1353, 1354, 5, 97, 0, 0, 1354, 1355, 5, 109, 0, 0, 1355, 1356, 5, 98, 0, 0, 1356, 1357, 5, 100, 0, 0, 1357, 1358, 5, 97, 0, 0, 1358, 1359, 5, 40, 0, 0, 1359, 334, 1, 0, 0, 0, 1360, 1362, 5, 13, 0, 0, 1361, 1360, 1, 0, 0, 0, 1361, 1362, 1, 0, 0, 0, 1362, 1363, 1, 0, 0, 0, 1363, 1365, 5, 10, 0, 0, 1364, 1361, 1, 0, 0, 0, 1365, 1366, 1, 0, 0, 0, 1366, 1364, 1, 0, 0, 0, 1366, 1367, 1, 0, 0, 0, 1367, 1368, 1, 0, 0, 0, 1368, 1369, 6, 167, 0, 0, 1369, 336, 1, 0, 0, 0, 1370, 1372, 7, 0, 0, 0, 1371, 1373, 7, 1, 0, 0, 1372, 1371, 1, 0, 0, 0, 1372, 1373, 1, 0, 0, 0, 1373, 1375, 1, 0, 0, 0, 1374, 1376, 2, 48, 57, 0, 1375, 1374, 1, 0, 0, 0, 1376, 1377, 1, 0, 0, 0, 1377, 1375, 1, 0, 0, 0, 1377, 1378, 1, 0, 0, 0, 1378, 338, 1, 0, 0, 0, 1379, 1381, 2, 48, 57, 0, 1380, 1379, 1, 0, 0, 0, 1381, 1382, 1, 0, 0, 0, 1382, 1380, 1, 0, 0, 0, 1382, 1383, 1, 0, 0, 0, 1383, 1384, 1, 0, 0, 0, 1384, 1388, 5, 46, 0, 0, 1385, 1387, 2, 48, 57, 0, 1386, 1385, 1, 0, 0, 0, 1387, 1390, 1, 0, 0, 0, 1388, 1386, 1, 0, 0, 0, 1388, 1389, 1, 0, 0, 0, 1389, 1392, 1, 0, 0, 0, 1390, 1388, 1, 0, 0, 0, 1391, 1393, 3, 337, 168, 0, 1392, 1391, 1, 0, 0, 0, 1392, 1393, 1, 0, 0, 0, 1393, 1395, 1, 0, 0, 0, 1394, 1396, 5, 105, 0, 0, 1395, 1394, 1, 0, 0, 0, 1395, 1396, 1, 0, 0, 0, 1396, 1413, 1, 0, 0, 0, 1397, 1399, 5, 46, 0, 0, 1398, 1397, 1, 0, 0, 0, 1398, 1399, 1, 0, 0, 0, 1399, 1401, 1, 0, 0, 0, 1400, 1402, 2, 48, 57, 0, 1401, 1400, 1, 0, 0, 0, 1402, 1403, 1, 0, 0, 0, 1403, 1401, 1, 0, 0, 0, 1403, 1404, 1, 0, 0, 0, 1404, 1406, 1, 0, 0, 0, 1405, 1407, 3, 337, 168, 0, 1406, 1405, 1, 0, 0, 0, 1406, 1407, 1, 0, 0, 0, 1407, 1409, 1, 0, 0, 0, 1408, 1410, 5, 105, 0, 0, 1409, 1408, 1, 0, 0, 0, 1409, 1410, 1, 0, 0, 0, 1410, 1413, 1, 0, 0, 0, 1411, 1413, 5, 105, 0, 0, 1412, 1380, 1, 0, 0, 0, 1412, 1398, 1, 0, 0, 0, 1412, 1411, 1, 0, 0, 0, 1413, 340, 1, 0, 0, 0, 1414, 1415, 5, 67, 0, 0, 1415, 1431, 5, 67, 0, 0, 1416, 1417, 5, 82, 0, 0, 1417, 1431, 5, 82, 0, 0, 1418, 1419, 5, 81, 0, 0, 1419, 1431, 5, 81, 0, 0, 1420, 1421, 5, 90, 0, 0, 1421, 1431, 5, 90, 0, 0, 1422, 1423, 5, 66, 0, 0, 1423, 1431, 5, 66, 0, 0, 1424, 1425, 5, 90, 0, 0, 1425, 1426, 5, 90, 0, 0, 1426, 1431, 5, 42, 0, 0, 1427, 1428, 5, 90, 0, 0, 1428, 1429, 5, 90, 0, 0, 1429, 1431, 5, 43, 0, 0, 1430, 1414, 1, 0, 0, 0, 1430, 1416, 1, 0, 0, 0, 1430, 1418, 1, 0, 0, 0, 1430, 1420, 1, 0, 0, 0, 1430, 1422, 1, 0, 0, 0, 1430, 1424, 1, 0, 0, 0, 1430, 1427, 1, 0, 0, 0, 1431, 342, 1, 0, 0, 0, 1432, 1433, 5, 116, 0, 0, 1433, 1434, 5, 114, 0, 0, 1434, 1435, 5, 117, 0, 0, 1435, 1451, 5, 101, 0, 0, 1436, 1437, 5, 84, 0, 0, 1437, 1438, 5, 114, 0, 0, 1438, 1439, 5, 117, 0, 0, 1439, 1451, 5, 101, 0, 0, 1440, 1441, 5, 102, 0, 0, 1441, 1442, 5, 97, 0, 0, 1442, 1443, 5, 108, 0, 0, 1443, 1444, 5, 115, 0, 0, 1444, 1451, 5, 101, 0, 0, 1445, 1446, 5, 70, 0, 0, 1446, 1447, 5, 97, 0, 0, 1447, 1448, 5, 108, 0, 0, 1448, 1449, 5, 115, 0, 0, 1449, 1451, 5, 101, 0, 0, 1450, 1432, 1, 0, 0, 0, 1450, 1436, 1, 0, 0, 0, 1450, 1440, 1, 0, 0, 0, 1450, 1445, 1, 0, 0, 0, 1451, 344, 1, 0, 0, 0, 1452, 1453, 5, 78, 0, 0, 1453, 1454, 5, 97, 0, 0, 1454, 1455, 5, 78, 0, 0, 1455, 346, 1, 0, 0, 0, 1456, 1458, 7, 2, 0, 0, 1457, 1456, 1, 0, 0, 0, 1458, 1459, 1, 0, 0, 0, 1459, 1457, 1, 0, 0, 0, 1459, 1460, 1, 0, 0, 0, 1460, 1467, 1, 0, 0, 0, 1461, 1463, 5, 95, 0, 0, 1462, 1464, 7, 3, 0, 0, 1463, 1462, 1, 0, 0, 0, 1464, 1465, 1, 0, 0, 0, 1465, 1463, 1, 0, 0, 0, 1465, 1466, 1, 0, 0, 0, 1466, 1468, 1, 0, 0, 0, 1467, 1461, 1, 0, 0, 0, 1467, 1468, 1, 0, 0, 0, 1468, 348, 1, 0, 0, 0, 1469, 1470, 5, 47, 0, 0, 1470, 1471, 5, 47, 0, 0, 1471, 1475, 1, 0, 0, 0, 1472, 1474, 8, 4, 0, 0, 1473, 1472, 1, 0, 0, 0, 1474, 1477, 1, 0, 0, 0, 1475, 1473, 1, 0, 0, 0, 1475, 1476, 1, 0, 0, 0, 1476, 1482, 1, 0, 0, 0, 1477, 1475, 1, 0, 0, 0, 1478, 1480, 5, 13, 0, 0, 1479, 1478, 1, 0, 0, 0, 1479, 1480, 1, 0, 0, 0, 1480, 1481, 1, 0, 0, 0, 1481, 1483, 5, 10, 0, 0, 1482, 1479, 1, 0, 0, 0, 1482, 1483, 1, 0, 0, 0, 1483, 1496, 1, 0, 0, 0, 1484, 1485, 5, 47, 0, 0, 1485, 1486, 5, 42, 0, 0, 1486, 1490, 1, 0, 0, 0, 1487, 1489, 9, 0, 0, 0, 1488, 1487, 1, 0, 0, 0, 1489, 1492, 1, 0, 0, 0, 1490, 1491, 1, 0, 0, 0, 1490, 1488, 1, 0, 0, 0, 1491, 1493, 1, 0, 0, 0, 1492, 1490, 1, 0, 0, 0, 1493, 1494, 5, 42, 0, 0, 1494, 1496, 5, 47, 0, 0, 1495, 1469, 1, 0, 0, 0, 1495, 1484, 1, 0, 0, 0, 1496, 1497, 1, 0, 0, 0, 1497, 1498, 6, 174, 0, 0, 1498, 350, 1, 0, 0, 0, 1499, 1501, 7, 5, 0, 0, 1500, 1499, 1, 0, 0, 0, 1501, 1502, 1, 0, 0, 0, 1502, 1500, 1, 0, 0, 0, 1502, 1503, 1, 0, 0, 0, 1503, 1504, 1, 0, 0, 0, 1504, 1505, 6, 175, 0, 0, 1505, 352, 1, 0, 0, 0, 25, 0, 1361, 1366, 1372, 1377, 1382, 1388, 1392, 1395, 1398, 1403, 1406, 1409, 1412, 1430, 1450, 1459, 1465, 1467, 1475, 1479, 1482, 1490, 1495, 1502, 1, 6, 0, 0]
\ No newline at end of file
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
index 5921f1e51..425ad0017 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
@@ -162,14 +162,17 @@ T__160=161
T__161=162
T__162=163
T__163=164
-NEWLINE=165
-NUMBER=166
-SPECIALSET=167
-BOOLEAN=168
-NAN=169
-VARIABLE=170
-COMMENT=171
-WS=172
+T__164=165
+T__165=166
+T__166=167
+NEWLINE=168
+NUMBER=169
+SPECIALSET=170
+BOOLEAN=171
+NAN=172
+VARIABLE=173
+COMMENT=174
+WS=175
'!'=1
'^'=2
'-'=3
@@ -316,22 +319,25 @@ WS=172
'phi('=144
'card('=145
'powerset('=146
-'floor('=147
-'ceil('=148
-'ceiling('=149
-'round('=150
-'min('=151
-'max('=152
-'argmax('=153
-'argmin('=154
-'gcd('=155
-'lcm('=156
-'binomial('=157
-'trunc('=158
-'erf('=159
-'conjugate('=160
-'domain('=161
-'piecewise('=162
-'apply('=163
-'lambda('=164
-'NaN'=169
+'union('=147
+'intersection('=148
+'complement('=149
+'floor('=150
+'ceil('=151
+'ceiling('=152
+'round('=153
+'min('=154
+'max('=155
+'argmax('=156
+'argmin('=157
+'gcd('=158
+'lcm('=159
+'binomial('=160
+'trunc('=161
+'erf('=162
+'conjugate('=163
+'domain('=164
+'piecewise('=165
+'apply('=166
+'lambda('=167
+'NaN'=172
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
index 6e77e6d6d..9ffdd1afc 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
@@ -70,8 +70,9 @@ public const int
T__143=144, T__144=145, T__145=146, T__146=147, T__147=148, T__148=149,
T__149=150, T__150=151, T__151=152, T__152=153, T__153=154, T__154=155,
T__155=156, T__156=157, T__157=158, T__158=159, T__159=160, T__160=161,
- T__161=162, T__162=163, T__163=164, NEWLINE=165, NUMBER=166, SPECIALSET=167,
- BOOLEAN=168, NAN=169, VARIABLE=170, COMMENT=171, WS=172;
+ T__161=162, T__162=163, T__163=164, T__164=165, T__165=166, T__166=167,
+ NEWLINE=168, NUMBER=169, SPECIALSET=170, BOOLEAN=171, NAN=172, VARIABLE=173,
+ COMMENT=174, WS=175;
public const int
RULE_factorial_expression = 0, RULE_power_list = 1, RULE_power_expression = 2,
RULE_unary_expression = 3, RULE_mult_expression = 4, RULE_sum_expression = 5,
@@ -114,10 +115,11 @@ public const int
"'arcosech('", "'arcsch('", "'arccosech('", "'acsch('", "'factorial('",
"'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('",
"'limitright('", "'sum('", "'product('", "'signum('", "'sgn('", "'sign('",
- "'abs('", "'phi('", "'card('", "'powerset('", "'floor('", "'ceil('", "'ceiling('",
- "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('",
- "'binomial('", "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('",
- "'apply('", "'lambda('", null, null, null, null, "'NaN'"
+ "'abs('", "'phi('", "'card('", "'powerset('", "'union('", "'intersection('",
+ "'complement('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('",
+ "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('",
+ "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", "'apply('",
+ "'lambda('", null, null, null, null, "'NaN'"
};
private static readonly string[] _SymbolicNames = {
null, null, null, null, null, null, null, null, null, null, null, null,
@@ -133,8 +135,9 @@ public const int
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
- null, null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER",
- "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
+ null, null, null, null, null, null, null, null, null, null, null, null,
+ "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT",
+ "WS"
};
public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
@@ -1836,6 +1839,9 @@ public ExpressionContext expression() {
case T__161:
case T__162:
case T__163:
+ case T__164:
+ case T__165:
+ case T__166:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -2201,7 +2207,7 @@ public Function_argumentsContext function_arguments() {
State = 380;
ErrorHandler.Sync(this);
_la = TokenStream.LA(1);
- if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -200622387819970536L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 8658654068735L) != 0)) {
+ if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -200622387819970536L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 69269232549887L) != 0)) {
{
State = 369;
_localctx.e = expression();
@@ -2403,7 +2409,7 @@ public AtomContext atom() {
AtomContext _localctx = new AtomContext(Context, State);
EnterRule(_localctx, 46, RULE_atom);
try {
- State = 997;
+ State = 1012;
ErrorHandler.Sync(this);
switch ( Interpreter.AdaptivePredict(TokenStream,35,Context) ) {
case 1:
@@ -3698,7 +3704,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 909;
Match(T__28);
- Assert("floor", 1, _localctx.args.list.Count); _localctx.value = MathS.Floor(_localctx.args.list[0]);
+ Assert("union", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } unionRange ? MathS.Sets.IndexedUnion(_localctx.args.list[0], unionRange.Element, unionRange.SupSet) : throw new InvalidArgumentParseException("union expects its second argument to say which name ranges over which set, as in union(A_i, i in I)");
}
break;
case 109:
@@ -3710,7 +3716,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 914;
Match(T__28);
- Assert("ceil", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]);
+ Assert("intersection", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } intersectionRange ? MathS.Sets.IndexedIntersection(_localctx.args.list[0], intersectionRange.Element, intersectionRange.SupSet) : throw new InvalidArgumentParseException("intersection expects its second argument to say which name ranges over which set, as in intersection(A_i, i in I)");
}
break;
case 110:
@@ -3722,7 +3728,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 919;
Match(T__28);
- Assert("ceiling", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]);
+ Assert("complement", 2, _localctx.args.list.Count); _localctx.value = MathS.Sets.Complement(_localctx.args.list[0], _localctx.args.list[1]);
}
break;
case 111:
@@ -3734,7 +3740,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 924;
Match(T__28);
- Assert("round", 1, _localctx.args.list.Count); _localctx.value = MathS.Round(_localctx.args.list[0]);
+ Assert("floor", 1, _localctx.args.list.Count); _localctx.value = MathS.Floor(_localctx.args.list[0]);
}
break;
case 112:
@@ -3746,7 +3752,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 929;
Match(T__28);
- AssertAtLeast("min", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } minRange ? MathS.Minimum(_localctx.args.list[0], minRange.Element, minRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Min(a, b));
+ Assert("ceil", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]);
}
break;
case 113:
@@ -3758,7 +3764,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 934;
Match(T__28);
- AssertAtLeast("max", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } maxRange ? MathS.Maximum(_localctx.args.list[0], maxRange.Element, maxRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Max(a, b));
+ Assert("ceiling", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]);
}
break;
case 114:
@@ -3770,7 +3776,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 939;
Match(T__28);
- Assert("argmax", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argmaxRange ? MathS.Argmax(_localctx.args.list[0], argmaxRange.Element, argmaxRange.SupSet) : throw new InvalidArgumentParseException("argmax expects its second argument to say which variable ranges over which set, as in argmax(f(t), t in S)");
+ Assert("round", 1, _localctx.args.list.Count); _localctx.value = MathS.Round(_localctx.args.list[0]);
}
break;
case 115:
@@ -3782,7 +3788,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 944;
Match(T__28);
- Assert("argmin", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argminRange ? MathS.Argmin(_localctx.args.list[0], argminRange.Element, argminRange.SupSet) : throw new InvalidArgumentParseException("argmin expects its second argument to say which variable ranges over which set, as in argmin(f(t), t in S)");
+ AssertAtLeast("min", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } minRange ? MathS.Minimum(_localctx.args.list[0], minRange.Element, minRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Min(a, b));
}
break;
case 116:
@@ -3794,7 +3800,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 949;
Match(T__28);
- AssertAtLeast("gcd", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Gcd(a, b));
+ AssertAtLeast("max", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } maxRange ? MathS.Maximum(_localctx.args.list[0], maxRange.Element, maxRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Max(a, b));
}
break;
case 117:
@@ -3806,7 +3812,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 954;
Match(T__28);
- AssertAtLeast("lcm", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Lcm(a, b));
+ Assert("argmax", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argmaxRange ? MathS.Argmax(_localctx.args.list[0], argmaxRange.Element, argmaxRange.SupSet) : throw new InvalidArgumentParseException("argmax expects its second argument to say which variable ranges over which set, as in argmax(f(t), t in S)");
}
break;
case 118:
@@ -3818,7 +3824,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 959;
Match(T__28);
- Assert("binomial", 2, _localctx.args.list.Count); _localctx.value = MathS.Binomial(_localctx.args.list[0], _localctx.args.list[1]);
+ Assert("argmin", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argminRange ? MathS.Argmin(_localctx.args.list[0], argminRange.Element, argminRange.SupSet) : throw new InvalidArgumentParseException("argmin expects its second argument to say which variable ranges over which set, as in argmin(f(t), t in S)");
}
break;
case 119:
@@ -3830,7 +3836,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 964;
Match(T__28);
- _localctx.value = NotImplementedFunction("trunc", "rounding functions");
+ AssertAtLeast("gcd", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Gcd(a, b));
}
break;
case 120:
@@ -3842,7 +3848,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 969;
Match(T__28);
- _localctx.value = NotImplementedFunction("erf", "error function");
+ AssertAtLeast("lcm", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Lcm(a, b));
}
break;
case 121:
@@ -3854,7 +3860,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 974;
Match(T__28);
- _localctx.value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function");
+ Assert("binomial", 2, _localctx.args.list.Count); _localctx.value = MathS.Binomial(_localctx.args.list[0], _localctx.args.list[1]);
}
break;
case 122:
@@ -3865,6 +3871,42 @@ public AtomContext atom() {
State = 978;
_localctx.args = function_arguments();
State = 979;
+ Match(T__28);
+ _localctx.value = NotImplementedFunction("trunc", "rounding functions");
+ }
+ break;
+ case 123:
+ EnterOuterAlt(_localctx, 123);
+ {
+ State = 982;
+ Match(T__161);
+ State = 983;
+ _localctx.args = function_arguments();
+ State = 984;
+ Match(T__28);
+ _localctx.value = NotImplementedFunction("erf", "error function");
+ }
+ break;
+ case 124:
+ EnterOuterAlt(_localctx, 124);
+ {
+ State = 987;
+ Match(T__162);
+ State = 988;
+ _localctx.args = function_arguments();
+ State = 989;
+ Match(T__28);
+ _localctx.value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function");
+ }
+ break;
+ case 125:
+ EnterOuterAlt(_localctx, 125);
+ {
+ State = 992;
+ Match(T__163);
+ State = 993;
+ _localctx.args = function_arguments();
+ State = 994;
Match(T__28);
Assert("domain", 2, _localctx.args.list.Count);
@@ -3891,14 +3933,14 @@ public AtomContext atom() {
}
break;
- case 123:
- EnterOuterAlt(_localctx, 123);
+ case 126:
+ EnterOuterAlt(_localctx, 126);
{
- State = 982;
- Match(T__161);
- State = 983;
+ State = 997;
+ Match(T__164);
+ State = 998;
_localctx.args = function_arguments();
- State = 984;
+ State = 999;
Match(T__28);
var cases = new List();
@@ -3911,14 +3953,14 @@ public AtomContext atom() {
}
break;
- case 124:
- EnterOuterAlt(_localctx, 124);
+ case 127:
+ EnterOuterAlt(_localctx, 127);
{
- State = 987;
- Match(T__162);
- State = 988;
+ State = 1002;
+ Match(T__165);
+ State = 1003;
_localctx.args = function_arguments();
- State = 989;
+ State = 1004;
Match(T__28);
if (_localctx.args.list.Count < 2)
@@ -3927,14 +3969,14 @@ public AtomContext atom() {
}
break;
- case 125:
- EnterOuterAlt(_localctx, 125);
+ case 128:
+ EnterOuterAlt(_localctx, 128);
{
- State = 992;
- Match(T__163);
- State = 993;
+ State = 1007;
+ Match(T__166);
+ State = 1008;
_localctx.args = function_arguments();
- State = 994;
+ State = 1009;
Match(T__28);
if (_localctx.args.list.Count < 2)
@@ -3997,9 +4039,9 @@ public StatementContext statement() {
try {
EnterOuterAlt(_localctx, 1);
{
- State = 999;
+ State = 1014;
_localctx._expression = expression();
- State = 1000;
+ State = 1015;
Match(Eof);
Result = _localctx._expression.value;
}
@@ -4016,7 +4058,7 @@ public StatementContext statement() {
}
private static int[] _serializedATN = {
- 4,1,172,1004,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2,
+ 4,1,175,1019,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2,
7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,14,7,14,
2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,21,7,21,
2,22,7,22,2,23,7,23,2,24,7,24,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3,0,58,8,0,1,
@@ -4086,43 +4128,44 @@ public StatementContext statement() {
23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,
23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,
23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,
- 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,3,23,998,8,23,1,24,
- 1,24,1,24,1,24,1,24,0,0,25,0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,
- 32,34,36,38,40,42,44,46,48,0,3,1,0,40,41,1,0,42,43,1,0,44,45,1154,0,57,
- 1,0,0,0,2,75,1,0,0,0,4,77,1,0,0,0,6,107,1,0,0,0,8,109,1,0,0,0,10,128,1,
- 0,0,0,12,143,1,0,0,0,14,158,1,0,0,0,16,181,1,0,0,0,18,216,1,0,0,0,20,267,
- 1,0,0,0,22,269,1,0,0,0,24,284,1,0,0,0,26,295,1,0,0,0,28,306,1,0,0,0,30,
- 321,1,0,0,0,32,340,1,0,0,0,34,342,1,0,0,0,36,354,1,0,0,0,38,356,1,0,0,
- 0,40,380,1,0,0,0,42,382,1,0,0,0,44,388,1,0,0,0,46,997,1,0,0,0,48,999,1,
- 0,0,0,50,51,3,46,23,0,51,52,5,1,0,0,52,53,6,0,-1,0,53,58,1,0,0,0,54,55,
- 3,46,23,0,55,56,6,0,-1,0,56,58,1,0,0,0,57,50,1,0,0,0,57,54,1,0,0,0,58,
- 1,1,0,0,0,59,60,5,2,0,0,60,61,3,0,0,0,61,62,6,1,-1,0,62,64,1,0,0,0,63,
- 59,1,0,0,0,64,65,1,0,0,0,65,63,1,0,0,0,65,66,1,0,0,0,66,76,1,0,0,0,67,
- 68,5,2,0,0,68,69,3,6,3,0,69,70,6,1,-1,0,70,72,1,0,0,0,71,67,1,0,0,0,72,
- 73,1,0,0,0,73,71,1,0,0,0,73,74,1,0,0,0,74,76,1,0,0,0,75,63,1,0,0,0,75,
- 71,1,0,0,0,76,3,1,0,0,0,77,78,3,0,0,0,78,82,6,2,-1,0,79,80,3,2,1,0,80,
- 81,6,2,-1,0,81,83,1,0,0,0,82,79,1,0,0,0,82,83,1,0,0,0,83,5,1,0,0,0,84,
- 85,5,3,0,0,85,86,3,4,2,0,86,87,6,3,-1,0,87,93,1,0,0,0,88,89,5,4,0,0,89,
- 90,3,4,2,0,90,91,6,3,-1,0,91,93,1,0,0,0,92,84,1,0,0,0,92,88,1,0,0,0,93,
- 108,1,0,0,0,94,95,5,3,0,0,95,96,3,6,3,0,96,97,6,3,-1,0,97,103,1,0,0,0,
- 98,99,5,4,0,0,99,100,3,6,3,0,100,101,6,3,-1,0,101,103,1,0,0,0,102,94,1,
- 0,0,0,102,98,1,0,0,0,103,108,1,0,0,0,104,105,3,4,2,0,105,106,6,3,-1,0,
- 106,108,1,0,0,0,107,92,1,0,0,0,107,102,1,0,0,0,107,104,1,0,0,0,108,7,1,
- 0,0,0,109,110,3,6,3,0,110,125,6,4,-1,0,111,112,5,5,0,0,112,113,3,6,3,0,
- 113,114,6,4,-1,0,114,124,1,0,0,0,115,116,5,6,0,0,116,117,3,6,3,0,117,118,
- 6,4,-1,0,118,124,1,0,0,0,119,120,5,7,0,0,120,121,3,6,3,0,121,122,6,4,-1,
- 0,122,124,1,0,0,0,123,111,1,0,0,0,123,115,1,0,0,0,123,119,1,0,0,0,124,
- 127,1,0,0,0,125,123,1,0,0,0,125,126,1,0,0,0,126,9,1,0,0,0,127,125,1,0,
- 0,0,128,129,3,8,4,0,129,140,6,5,-1,0,130,131,5,4,0,0,131,132,3,8,4,0,132,
- 133,6,5,-1,0,133,139,1,0,0,0,134,135,5,3,0,0,135,136,3,8,4,0,136,137,6,
- 5,-1,0,137,139,1,0,0,0,138,130,1,0,0,0,138,134,1,0,0,0,139,142,1,0,0,0,
- 140,138,1,0,0,0,140,141,1,0,0,0,141,11,1,0,0,0,142,140,1,0,0,0,143,144,
- 3,10,5,0,144,155,6,6,-1,0,145,146,5,8,0,0,146,147,3,10,5,0,147,148,6,6,
- -1,0,148,154,1,0,0,0,149,150,5,9,0,0,150,151,3,10,5,0,151,152,6,6,-1,0,
- 152,154,1,0,0,0,153,145,1,0,0,0,153,149,1,0,0,0,154,157,1,0,0,0,155,153,
- 1,0,0,0,155,156,1,0,0,0,156,13,1,0,0,0,157,155,1,0,0,0,158,159,3,12,6,
- 0,159,178,6,7,-1,0,160,161,5,10,0,0,161,162,3,12,6,0,162,163,6,7,-1,0,
- 163,177,1,0,0,0,164,165,5,11,0,0,165,166,3,12,6,0,166,167,6,7,-1,0,167,
+ 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,
+ 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,3,23,1013,8,
+ 23,1,24,1,24,1,24,1,24,1,24,0,0,25,0,2,4,6,8,10,12,14,16,18,20,22,24,26,
+ 28,30,32,34,36,38,40,42,44,46,48,0,3,1,0,40,41,1,0,42,43,1,0,44,45,1172,
+ 0,57,1,0,0,0,2,75,1,0,0,0,4,77,1,0,0,0,6,107,1,0,0,0,8,109,1,0,0,0,10,
+ 128,1,0,0,0,12,143,1,0,0,0,14,158,1,0,0,0,16,181,1,0,0,0,18,216,1,0,0,
+ 0,20,267,1,0,0,0,22,269,1,0,0,0,24,284,1,0,0,0,26,295,1,0,0,0,28,306,1,
+ 0,0,0,30,321,1,0,0,0,32,340,1,0,0,0,34,342,1,0,0,0,36,354,1,0,0,0,38,356,
+ 1,0,0,0,40,380,1,0,0,0,42,382,1,0,0,0,44,388,1,0,0,0,46,1012,1,0,0,0,48,
+ 1014,1,0,0,0,50,51,3,46,23,0,51,52,5,1,0,0,52,53,6,0,-1,0,53,58,1,0,0,
+ 0,54,55,3,46,23,0,55,56,6,0,-1,0,56,58,1,0,0,0,57,50,1,0,0,0,57,54,1,0,
+ 0,0,58,1,1,0,0,0,59,60,5,2,0,0,60,61,3,0,0,0,61,62,6,1,-1,0,62,64,1,0,
+ 0,0,63,59,1,0,0,0,64,65,1,0,0,0,65,63,1,0,0,0,65,66,1,0,0,0,66,76,1,0,
+ 0,0,67,68,5,2,0,0,68,69,3,6,3,0,69,70,6,1,-1,0,70,72,1,0,0,0,71,67,1,0,
+ 0,0,72,73,1,0,0,0,73,71,1,0,0,0,73,74,1,0,0,0,74,76,1,0,0,0,75,63,1,0,
+ 0,0,75,71,1,0,0,0,76,3,1,0,0,0,77,78,3,0,0,0,78,82,6,2,-1,0,79,80,3,2,
+ 1,0,80,81,6,2,-1,0,81,83,1,0,0,0,82,79,1,0,0,0,82,83,1,0,0,0,83,5,1,0,
+ 0,0,84,85,5,3,0,0,85,86,3,4,2,0,86,87,6,3,-1,0,87,93,1,0,0,0,88,89,5,4,
+ 0,0,89,90,3,4,2,0,90,91,6,3,-1,0,91,93,1,0,0,0,92,84,1,0,0,0,92,88,1,0,
+ 0,0,93,108,1,0,0,0,94,95,5,3,0,0,95,96,3,6,3,0,96,97,6,3,-1,0,97,103,1,
+ 0,0,0,98,99,5,4,0,0,99,100,3,6,3,0,100,101,6,3,-1,0,101,103,1,0,0,0,102,
+ 94,1,0,0,0,102,98,1,0,0,0,103,108,1,0,0,0,104,105,3,4,2,0,105,106,6,3,
+ -1,0,106,108,1,0,0,0,107,92,1,0,0,0,107,102,1,0,0,0,107,104,1,0,0,0,108,
+ 7,1,0,0,0,109,110,3,6,3,0,110,125,6,4,-1,0,111,112,5,5,0,0,112,113,3,6,
+ 3,0,113,114,6,4,-1,0,114,124,1,0,0,0,115,116,5,6,0,0,116,117,3,6,3,0,117,
+ 118,6,4,-1,0,118,124,1,0,0,0,119,120,5,7,0,0,120,121,3,6,3,0,121,122,6,
+ 4,-1,0,122,124,1,0,0,0,123,111,1,0,0,0,123,115,1,0,0,0,123,119,1,0,0,0,
+ 124,127,1,0,0,0,125,123,1,0,0,0,125,126,1,0,0,0,126,9,1,0,0,0,127,125,
+ 1,0,0,0,128,129,3,8,4,0,129,140,6,5,-1,0,130,131,5,4,0,0,131,132,3,8,4,
+ 0,132,133,6,5,-1,0,133,139,1,0,0,0,134,135,5,3,0,0,135,136,3,8,4,0,136,
+ 137,6,5,-1,0,137,139,1,0,0,0,138,130,1,0,0,0,138,134,1,0,0,0,139,142,1,
+ 0,0,0,140,138,1,0,0,0,140,141,1,0,0,0,141,11,1,0,0,0,142,140,1,0,0,0,143,
+ 144,3,10,5,0,144,155,6,6,-1,0,145,146,5,8,0,0,146,147,3,10,5,0,147,148,
+ 6,6,-1,0,148,154,1,0,0,0,149,150,5,9,0,0,150,151,3,10,5,0,151,152,6,6,
+ -1,0,152,154,1,0,0,0,153,145,1,0,0,0,153,149,1,0,0,0,154,157,1,0,0,0,155,
+ 153,1,0,0,0,155,156,1,0,0,0,156,13,1,0,0,0,157,155,1,0,0,0,158,159,3,12,
+ 6,0,159,178,6,7,-1,0,160,161,5,10,0,0,161,162,3,12,6,0,162,163,6,7,-1,
+ 0,163,177,1,0,0,0,164,165,5,11,0,0,165,166,3,12,6,0,166,167,6,7,-1,0,167,
177,1,0,0,0,168,169,5,12,0,0,169,170,3,12,6,0,170,171,6,7,-1,0,171,177,
1,0,0,0,172,173,5,13,0,0,173,174,3,12,6,0,174,175,6,7,-1,0,175,177,1,0,
0,0,176,160,1,0,0,0,176,164,1,0,0,0,176,168,1,0,0,0,176,172,1,0,0,0,177,
@@ -4184,185 +4227,195 @@ public StatementContext statement() {
380,369,1,0,0,0,380,381,1,0,0,0,381,41,1,0,0,0,382,383,3,32,16,0,383,384,
6,21,-1,0,384,385,5,47,0,0,385,386,3,32,16,0,386,387,6,21,-1,0,387,43,
1,0,0,0,388,389,3,32,16,0,389,390,6,22,-1,0,390,391,5,39,0,0,391,392,3,
- 32,16,0,392,393,6,22,-1,0,393,45,1,0,0,0,394,395,5,48,0,0,395,998,6,23,
- -1,0,396,397,5,49,0,0,397,998,6,23,-1,0,398,399,5,169,0,0,399,998,6,23,
- -1,0,400,401,5,166,0,0,401,998,6,23,-1,0,402,403,5,168,0,0,403,998,6,23,
- -1,0,404,405,5,167,0,0,405,998,6,23,-1,0,406,407,5,170,0,0,407,998,6,23,
- -1,0,408,409,5,50,0,0,409,410,3,32,16,0,410,411,5,51,0,0,411,412,6,23,
- -1,0,412,998,1,0,0,0,413,414,5,52,0,0,414,415,3,46,23,0,415,416,6,23,-1,
- 0,416,998,1,0,0,0,417,418,5,53,0,0,418,419,3,40,20,0,419,420,5,54,0,0,
- 420,421,6,23,-1,0,421,998,1,0,0,0,422,423,5,53,0,0,423,424,3,40,20,0,424,
- 425,5,55,0,0,425,426,6,23,-1,0,426,998,1,0,0,0,427,428,5,28,0,0,428,429,
- 3,42,21,0,429,430,5,29,0,0,430,431,6,23,-1,0,431,998,1,0,0,0,432,433,5,
- 53,0,0,433,434,3,42,21,0,434,435,5,29,0,0,435,436,6,23,-1,0,436,998,1,
- 0,0,0,437,438,5,53,0,0,438,439,3,42,21,0,439,440,5,55,0,0,440,441,6,23,
- -1,0,441,998,1,0,0,0,442,443,5,28,0,0,443,444,3,42,21,0,444,445,5,55,0,
- 0,445,446,6,23,-1,0,446,998,1,0,0,0,447,448,5,28,0,0,448,449,3,32,16,0,
- 449,450,5,29,0,0,450,451,6,23,-1,0,451,998,1,0,0,0,452,453,5,56,0,0,453,
- 454,3,44,22,0,454,455,5,57,0,0,455,456,6,23,-1,0,456,998,1,0,0,0,457,458,
- 5,56,0,0,458,459,3,40,20,0,459,460,5,57,0,0,460,461,6,23,-1,0,461,998,
- 1,0,0,0,462,463,5,58,0,0,463,464,3,40,20,0,464,465,5,29,0,0,465,466,6,
- 23,-1,0,466,998,1,0,0,0,467,468,5,59,0,0,468,469,3,40,20,0,469,470,5,29,
- 0,0,470,471,6,23,-1,0,471,998,1,0,0,0,472,473,5,60,0,0,473,474,3,40,20,
- 0,474,475,5,29,0,0,475,476,6,23,-1,0,476,998,1,0,0,0,477,478,5,61,0,0,
- 478,479,3,40,20,0,479,480,5,29,0,0,480,481,6,23,-1,0,481,998,1,0,0,0,482,
- 483,5,62,0,0,483,484,3,40,20,0,484,485,5,29,0,0,485,486,6,23,-1,0,486,
- 998,1,0,0,0,487,488,5,63,0,0,488,489,3,40,20,0,489,490,5,29,0,0,490,491,
- 6,23,-1,0,491,998,1,0,0,0,492,493,5,64,0,0,493,494,3,40,20,0,494,495,5,
- 29,0,0,495,496,6,23,-1,0,496,998,1,0,0,0,497,498,5,65,0,0,498,499,3,40,
- 20,0,499,500,5,29,0,0,500,501,6,23,-1,0,501,998,1,0,0,0,502,503,5,66,0,
- 0,503,504,3,40,20,0,504,505,5,29,0,0,505,506,6,23,-1,0,506,998,1,0,0,0,
- 507,508,5,67,0,0,508,509,3,40,20,0,509,510,5,29,0,0,510,511,6,23,-1,0,
- 511,998,1,0,0,0,512,513,5,68,0,0,513,514,3,40,20,0,514,515,5,29,0,0,515,
- 516,6,23,-1,0,516,998,1,0,0,0,517,518,5,69,0,0,518,519,3,40,20,0,519,520,
- 5,29,0,0,520,521,6,23,-1,0,521,998,1,0,0,0,522,523,5,70,0,0,523,524,3,
- 40,20,0,524,525,5,29,0,0,525,526,6,23,-1,0,526,998,1,0,0,0,527,528,5,71,
- 0,0,528,529,3,40,20,0,529,530,5,29,0,0,530,531,6,23,-1,0,531,998,1,0,0,
- 0,532,533,5,72,0,0,533,534,3,40,20,0,534,535,5,29,0,0,535,536,6,23,-1,
- 0,536,998,1,0,0,0,537,538,5,73,0,0,538,539,3,40,20,0,539,540,5,29,0,0,
- 540,541,6,23,-1,0,541,998,1,0,0,0,542,543,5,74,0,0,543,544,3,40,20,0,544,
- 545,5,29,0,0,545,546,6,23,-1,0,546,998,1,0,0,0,547,548,5,75,0,0,548,549,
- 3,40,20,0,549,550,5,29,0,0,550,551,6,23,-1,0,551,998,1,0,0,0,552,553,5,
- 76,0,0,553,554,3,40,20,0,554,555,5,29,0,0,555,556,6,23,-1,0,556,998,1,
- 0,0,0,557,558,5,77,0,0,558,559,3,40,20,0,559,560,5,29,0,0,560,561,6,23,
- -1,0,561,998,1,0,0,0,562,563,5,78,0,0,563,564,3,40,20,0,564,565,5,29,0,
- 0,565,566,6,23,-1,0,566,998,1,0,0,0,567,568,5,79,0,0,568,569,3,40,20,0,
- 569,570,5,29,0,0,570,571,6,23,-1,0,571,998,1,0,0,0,572,573,5,80,0,0,573,
- 574,3,40,20,0,574,575,5,29,0,0,575,576,6,23,-1,0,576,998,1,0,0,0,577,578,
- 5,81,0,0,578,579,3,40,20,0,579,580,5,29,0,0,580,581,6,23,-1,0,581,998,
- 1,0,0,0,582,583,5,82,0,0,583,584,3,40,20,0,584,585,5,29,0,0,585,586,6,
- 23,-1,0,586,998,1,0,0,0,587,588,5,83,0,0,588,589,3,40,20,0,589,590,5,29,
- 0,0,590,591,6,23,-1,0,591,998,1,0,0,0,592,593,5,84,0,0,593,594,3,40,20,
- 0,594,595,5,29,0,0,595,596,6,23,-1,0,596,998,1,0,0,0,597,598,5,85,0,0,
- 598,599,3,40,20,0,599,600,5,29,0,0,600,601,6,23,-1,0,601,998,1,0,0,0,602,
- 603,5,86,0,0,603,604,3,40,20,0,604,605,5,29,0,0,605,606,6,23,-1,0,606,
- 998,1,0,0,0,607,608,5,87,0,0,608,609,3,40,20,0,609,610,5,29,0,0,610,611,
- 6,23,-1,0,611,998,1,0,0,0,612,613,5,88,0,0,613,614,3,40,20,0,614,615,5,
- 29,0,0,615,616,6,23,-1,0,616,998,1,0,0,0,617,618,5,89,0,0,618,619,3,40,
- 20,0,619,620,5,29,0,0,620,621,6,23,-1,0,621,998,1,0,0,0,622,623,5,90,0,
- 0,623,624,3,40,20,0,624,625,5,29,0,0,625,626,6,23,-1,0,626,998,1,0,0,0,
- 627,628,5,91,0,0,628,629,3,40,20,0,629,630,5,29,0,0,630,631,6,23,-1,0,
- 631,998,1,0,0,0,632,633,5,92,0,0,633,634,3,40,20,0,634,635,5,29,0,0,635,
- 636,6,23,-1,0,636,998,1,0,0,0,637,638,5,93,0,0,638,639,3,40,20,0,639,640,
- 5,29,0,0,640,641,6,23,-1,0,641,998,1,0,0,0,642,643,5,94,0,0,643,644,3,
- 40,20,0,644,645,5,29,0,0,645,646,6,23,-1,0,646,998,1,0,0,0,647,648,5,95,
- 0,0,648,649,3,40,20,0,649,650,5,29,0,0,650,651,6,23,-1,0,651,998,1,0,0,
- 0,652,653,5,96,0,0,653,654,3,40,20,0,654,655,5,29,0,0,655,656,6,23,-1,
- 0,656,998,1,0,0,0,657,658,5,97,0,0,658,659,3,40,20,0,659,660,5,29,0,0,
- 660,661,6,23,-1,0,661,998,1,0,0,0,662,663,5,98,0,0,663,664,3,40,20,0,664,
- 665,5,29,0,0,665,666,6,23,-1,0,666,998,1,0,0,0,667,668,5,99,0,0,668,669,
- 3,40,20,0,669,670,5,29,0,0,670,671,6,23,-1,0,671,998,1,0,0,0,672,673,5,
- 100,0,0,673,674,3,40,20,0,674,675,5,29,0,0,675,676,6,23,-1,0,676,998,1,
- 0,0,0,677,678,5,101,0,0,678,679,3,40,20,0,679,680,5,29,0,0,680,681,6,23,
- -1,0,681,998,1,0,0,0,682,683,5,102,0,0,683,684,3,40,20,0,684,685,5,29,
- 0,0,685,686,6,23,-1,0,686,998,1,0,0,0,687,688,5,103,0,0,688,689,3,40,20,
- 0,689,690,5,29,0,0,690,691,6,23,-1,0,691,998,1,0,0,0,692,693,5,104,0,0,
- 693,694,3,40,20,0,694,695,5,29,0,0,695,696,6,23,-1,0,696,998,1,0,0,0,697,
- 698,5,105,0,0,698,699,3,40,20,0,699,700,5,29,0,0,700,701,6,23,-1,0,701,
- 998,1,0,0,0,702,703,5,106,0,0,703,704,3,40,20,0,704,705,5,29,0,0,705,706,
- 6,23,-1,0,706,998,1,0,0,0,707,708,5,107,0,0,708,709,3,40,20,0,709,710,
- 5,29,0,0,710,711,6,23,-1,0,711,998,1,0,0,0,712,713,5,108,0,0,713,714,3,
- 40,20,0,714,715,5,29,0,0,715,716,6,23,-1,0,716,998,1,0,0,0,717,718,5,109,
- 0,0,718,719,3,40,20,0,719,720,5,29,0,0,720,721,6,23,-1,0,721,998,1,0,0,
- 0,722,723,5,110,0,0,723,724,3,40,20,0,724,725,5,29,0,0,725,726,6,23,-1,
- 0,726,998,1,0,0,0,727,728,5,111,0,0,728,729,3,40,20,0,729,730,5,29,0,0,
- 730,731,6,23,-1,0,731,998,1,0,0,0,732,733,5,112,0,0,733,734,3,40,20,0,
- 734,735,5,29,0,0,735,736,6,23,-1,0,736,998,1,0,0,0,737,738,5,113,0,0,738,
- 739,3,40,20,0,739,740,5,29,0,0,740,741,6,23,-1,0,741,998,1,0,0,0,742,743,
- 5,114,0,0,743,744,3,40,20,0,744,745,5,29,0,0,745,746,6,23,-1,0,746,998,
- 1,0,0,0,747,748,5,115,0,0,748,749,3,40,20,0,749,750,5,29,0,0,750,751,6,
- 23,-1,0,751,998,1,0,0,0,752,753,5,116,0,0,753,754,3,40,20,0,754,755,5,
- 29,0,0,755,756,6,23,-1,0,756,998,1,0,0,0,757,758,5,117,0,0,758,759,3,40,
- 20,0,759,760,5,29,0,0,760,761,6,23,-1,0,761,998,1,0,0,0,762,763,5,118,
- 0,0,763,764,3,40,20,0,764,765,5,29,0,0,765,766,6,23,-1,0,766,998,1,0,0,
- 0,767,768,5,119,0,0,768,769,3,40,20,0,769,770,5,29,0,0,770,771,6,23,-1,
- 0,771,998,1,0,0,0,772,773,5,120,0,0,773,774,3,40,20,0,774,775,5,29,0,0,
- 775,776,6,23,-1,0,776,998,1,0,0,0,777,778,5,121,0,0,778,779,3,40,20,0,
- 779,780,5,29,0,0,780,781,6,23,-1,0,781,998,1,0,0,0,782,783,5,122,0,0,783,
- 784,3,40,20,0,784,785,5,29,0,0,785,786,6,23,-1,0,786,998,1,0,0,0,787,788,
- 5,123,0,0,788,789,3,40,20,0,789,790,5,29,0,0,790,791,6,23,-1,0,791,998,
- 1,0,0,0,792,793,5,124,0,0,793,794,3,40,20,0,794,795,5,29,0,0,795,796,6,
- 23,-1,0,796,998,1,0,0,0,797,798,5,125,0,0,798,799,3,40,20,0,799,800,5,
- 29,0,0,800,801,6,23,-1,0,801,998,1,0,0,0,802,803,5,126,0,0,803,804,3,40,
- 20,0,804,805,5,29,0,0,805,806,6,23,-1,0,806,998,1,0,0,0,807,808,5,127,
- 0,0,808,809,3,40,20,0,809,810,5,29,0,0,810,811,6,23,-1,0,811,998,1,0,0,
- 0,812,813,5,128,0,0,813,814,3,40,20,0,814,815,5,29,0,0,815,816,6,23,-1,
- 0,816,998,1,0,0,0,817,818,5,129,0,0,818,819,3,40,20,0,819,820,5,29,0,0,
- 820,821,6,23,-1,0,821,998,1,0,0,0,822,823,5,130,0,0,823,824,3,40,20,0,
- 824,825,5,29,0,0,825,826,6,23,-1,0,826,998,1,0,0,0,827,828,5,131,0,0,828,
- 829,3,40,20,0,829,830,5,29,0,0,830,831,6,23,-1,0,831,998,1,0,0,0,832,833,
- 5,132,0,0,833,834,3,40,20,0,834,835,5,29,0,0,835,836,6,23,-1,0,836,998,
- 1,0,0,0,837,838,5,133,0,0,838,839,3,40,20,0,839,840,5,29,0,0,840,841,6,
- 23,-1,0,841,998,1,0,0,0,842,843,5,134,0,0,843,844,3,40,20,0,844,845,5,
- 29,0,0,845,846,6,23,-1,0,846,998,1,0,0,0,847,848,5,135,0,0,848,849,3,40,
- 20,0,849,850,5,29,0,0,850,851,6,23,-1,0,851,998,1,0,0,0,852,853,5,136,
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+ 732,733,5,112,0,0,733,734,3,40,20,0,734,735,5,29,0,0,735,736,6,23,-1,0,
+ 736,1013,1,0,0,0,737,738,5,113,0,0,738,739,3,40,20,0,739,740,5,29,0,0,
+ 740,741,6,23,-1,0,741,1013,1,0,0,0,742,743,5,114,0,0,743,744,3,40,20,0,
+ 744,745,5,29,0,0,745,746,6,23,-1,0,746,1013,1,0,0,0,747,748,5,115,0,0,
+ 748,749,3,40,20,0,749,750,5,29,0,0,750,751,6,23,-1,0,751,1013,1,0,0,0,
+ 752,753,5,116,0,0,753,754,3,40,20,0,754,755,5,29,0,0,755,756,6,23,-1,0,
+ 756,1013,1,0,0,0,757,758,5,117,0,0,758,759,3,40,20,0,759,760,5,29,0,0,
+ 760,761,6,23,-1,0,761,1013,1,0,0,0,762,763,5,118,0,0,763,764,3,40,20,0,
+ 764,765,5,29,0,0,765,766,6,23,-1,0,766,1013,1,0,0,0,767,768,5,119,0,0,
+ 768,769,3,40,20,0,769,770,5,29,0,0,770,771,6,23,-1,0,771,1013,1,0,0,0,
+ 772,773,5,120,0,0,773,774,3,40,20,0,774,775,5,29,0,0,775,776,6,23,-1,0,
+ 776,1013,1,0,0,0,777,778,5,121,0,0,778,779,3,40,20,0,779,780,5,29,0,0,
+ 780,781,6,23,-1,0,781,1013,1,0,0,0,782,783,5,122,0,0,783,784,3,40,20,0,
+ 784,785,5,29,0,0,785,786,6,23,-1,0,786,1013,1,0,0,0,787,788,5,123,0,0,
+ 788,789,3,40,20,0,789,790,5,29,0,0,790,791,6,23,-1,0,791,1013,1,0,0,0,
+ 792,793,5,124,0,0,793,794,3,40,20,0,794,795,5,29,0,0,795,796,6,23,-1,0,
+ 796,1013,1,0,0,0,797,798,5,125,0,0,798,799,3,40,20,0,799,800,5,29,0,0,
+ 800,801,6,23,-1,0,801,1013,1,0,0,0,802,803,5,126,0,0,803,804,3,40,20,0,
+ 804,805,5,29,0,0,805,806,6,23,-1,0,806,1013,1,0,0,0,807,808,5,127,0,0,
+ 808,809,3,40,20,0,809,810,5,29,0,0,810,811,6,23,-1,0,811,1013,1,0,0,0,
+ 812,813,5,128,0,0,813,814,3,40,20,0,814,815,5,29,0,0,815,816,6,23,-1,0,
+ 816,1013,1,0,0,0,817,818,5,129,0,0,818,819,3,40,20,0,819,820,5,29,0,0,
+ 820,821,6,23,-1,0,821,1013,1,0,0,0,822,823,5,130,0,0,823,824,3,40,20,0,
+ 824,825,5,29,0,0,825,826,6,23,-1,0,826,1013,1,0,0,0,827,828,5,131,0,0,
+ 828,829,3,40,20,0,829,830,5,29,0,0,830,831,6,23,-1,0,831,1013,1,0,0,0,
+ 832,833,5,132,0,0,833,834,3,40,20,0,834,835,5,29,0,0,835,836,6,23,-1,0,
+ 836,1013,1,0,0,0,837,838,5,133,0,0,838,839,3,40,20,0,839,840,5,29,0,0,
+ 840,841,6,23,-1,0,841,1013,1,0,0,0,842,843,5,134,0,0,843,844,3,40,20,0,
+ 844,845,5,29,0,0,845,846,6,23,-1,0,846,1013,1,0,0,0,847,848,5,135,0,0,
+ 848,849,3,40,20,0,849,850,5,29,0,0,850,851,6,23,-1,0,851,1013,1,0,0,0,
+ 852,853,5,136,0,0,853,854,3,40,20,0,854,855,5,29,0,0,855,856,6,23,-1,0,
+ 856,1013,1,0,0,0,857,858,5,137,0,0,858,859,3,40,20,0,859,860,5,29,0,0,
+ 860,861,6,23,-1,0,861,1013,1,0,0,0,862,863,5,138,0,0,863,864,3,40,20,0,
+ 864,865,5,29,0,0,865,866,6,23,-1,0,866,1013,1,0,0,0,867,868,5,139,0,0,
+ 868,869,3,40,20,0,869,870,5,29,0,0,870,871,6,23,-1,0,871,1013,1,0,0,0,
+ 872,873,5,140,0,0,873,874,3,40,20,0,874,875,5,29,0,0,875,876,6,23,-1,0,
+ 876,1013,1,0,0,0,877,878,5,141,0,0,878,879,3,40,20,0,879,880,5,29,0,0,
+ 880,881,6,23,-1,0,881,1013,1,0,0,0,882,883,5,142,0,0,883,884,3,40,20,0,
+ 884,885,5,29,0,0,885,886,6,23,-1,0,886,1013,1,0,0,0,887,888,5,143,0,0,
+ 888,889,3,40,20,0,889,890,5,29,0,0,890,891,6,23,-1,0,891,1013,1,0,0,0,
+ 892,893,5,144,0,0,893,894,3,40,20,0,894,895,5,29,0,0,895,896,6,23,-1,0,
+ 896,1013,1,0,0,0,897,898,5,145,0,0,898,899,3,40,20,0,899,900,5,29,0,0,
+ 900,901,6,23,-1,0,901,1013,1,0,0,0,902,903,5,146,0,0,903,904,3,40,20,0,
+ 904,905,5,29,0,0,905,906,6,23,-1,0,906,1013,1,0,0,0,907,908,5,147,0,0,
+ 908,909,3,40,20,0,909,910,5,29,0,0,910,911,6,23,-1,0,911,1013,1,0,0,0,
+ 912,913,5,148,0,0,913,914,3,40,20,0,914,915,5,29,0,0,915,916,6,23,-1,0,
+ 916,1013,1,0,0,0,917,918,5,149,0,0,918,919,3,40,20,0,919,920,5,29,0,0,
+ 920,921,6,23,-1,0,921,1013,1,0,0,0,922,923,5,150,0,0,923,924,3,40,20,0,
+ 924,925,5,29,0,0,925,926,6,23,-1,0,926,1013,1,0,0,0,927,928,5,151,0,0,
+ 928,929,3,40,20,0,929,930,5,29,0,0,930,931,6,23,-1,0,931,1013,1,0,0,0,
+ 932,933,5,152,0,0,933,934,3,40,20,0,934,935,5,29,0,0,935,936,6,23,-1,0,
+ 936,1013,1,0,0,0,937,938,5,153,0,0,938,939,3,40,20,0,939,940,5,29,0,0,
+ 940,941,6,23,-1,0,941,1013,1,0,0,0,942,943,5,154,0,0,943,944,3,40,20,0,
+ 944,945,5,29,0,0,945,946,6,23,-1,0,946,1013,1,0,0,0,947,948,5,155,0,0,
+ 948,949,3,40,20,0,949,950,5,29,0,0,950,951,6,23,-1,0,951,1013,1,0,0,0,
+ 952,953,5,156,0,0,953,954,3,40,20,0,954,955,5,29,0,0,955,956,6,23,-1,0,
+ 956,1013,1,0,0,0,957,958,5,157,0,0,958,959,3,40,20,0,959,960,5,29,0,0,
+ 960,961,6,23,-1,0,961,1013,1,0,0,0,962,963,5,158,0,0,963,964,3,40,20,0,
+ 964,965,5,29,0,0,965,966,6,23,-1,0,966,1013,1,0,0,0,967,968,5,159,0,0,
+ 968,969,3,40,20,0,969,970,5,29,0,0,970,971,6,23,-1,0,971,1013,1,0,0,0,
+ 972,973,5,160,0,0,973,974,3,40,20,0,974,975,5,29,0,0,975,976,6,23,-1,0,
+ 976,1013,1,0,0,0,977,978,5,161,0,0,978,979,3,40,20,0,979,980,5,29,0,0,
+ 980,981,6,23,-1,0,981,1013,1,0,0,0,982,983,5,162,0,0,983,984,3,40,20,0,
+ 984,985,5,29,0,0,985,986,6,23,-1,0,986,1013,1,0,0,0,987,988,5,163,0,0,
+ 988,989,3,40,20,0,989,990,5,29,0,0,990,991,6,23,-1,0,991,1013,1,0,0,0,
+ 992,993,5,164,0,0,993,994,3,40,20,0,994,995,5,29,0,0,995,996,6,23,-1,0,
+ 996,1013,1,0,0,0,997,998,5,165,0,0,998,999,3,40,20,0,999,1000,5,29,0,0,
+ 1000,1001,6,23,-1,0,1001,1013,1,0,0,0,1002,1003,5,166,0,0,1003,1004,3,
+ 40,20,0,1004,1005,5,29,0,0,1005,1006,6,23,-1,0,1006,1013,1,0,0,0,1007,
+ 1008,5,167,0,0,1008,1009,3,40,20,0,1009,1010,5,29,0,0,1010,1011,6,23,-1,
+ 0,1011,1013,1,0,0,0,1012,394,1,0,0,0,1012,396,1,0,0,0,1012,398,1,0,0,0,
+ 1012,400,1,0,0,0,1012,402,1,0,0,0,1012,404,1,0,0,0,1012,406,1,0,0,0,1012,
+ 408,1,0,0,0,1012,413,1,0,0,0,1012,417,1,0,0,0,1012,422,1,0,0,0,1012,427,
+ 1,0,0,0,1012,432,1,0,0,0,1012,437,1,0,0,0,1012,442,1,0,0,0,1012,447,1,
+ 0,0,0,1012,452,1,0,0,0,1012,457,1,0,0,0,1012,462,1,0,0,0,1012,467,1,0,
+ 0,0,1012,472,1,0,0,0,1012,477,1,0,0,0,1012,482,1,0,0,0,1012,487,1,0,0,
+ 0,1012,492,1,0,0,0,1012,497,1,0,0,0,1012,502,1,0,0,0,1012,507,1,0,0,0,
+ 1012,512,1,0,0,0,1012,517,1,0,0,0,1012,522,1,0,0,0,1012,527,1,0,0,0,1012,
+ 532,1,0,0,0,1012,537,1,0,0,0,1012,542,1,0,0,0,1012,547,1,0,0,0,1012,552,
+ 1,0,0,0,1012,557,1,0,0,0,1012,562,1,0,0,0,1012,567,1,0,0,0,1012,572,1,
+ 0,0,0,1012,577,1,0,0,0,1012,582,1,0,0,0,1012,587,1,0,0,0,1012,592,1,0,
+ 0,0,1012,597,1,0,0,0,1012,602,1,0,0,0,1012,607,1,0,0,0,1012,612,1,0,0,
+ 0,1012,617,1,0,0,0,1012,622,1,0,0,0,1012,627,1,0,0,0,1012,632,1,0,0,0,
+ 1012,637,1,0,0,0,1012,642,1,0,0,0,1012,647,1,0,0,0,1012,652,1,0,0,0,1012,
+ 657,1,0,0,0,1012,662,1,0,0,0,1012,667,1,0,0,0,1012,672,1,0,0,0,1012,677,
+ 1,0,0,0,1012,682,1,0,0,0,1012,687,1,0,0,0,1012,692,1,0,0,0,1012,697,1,
+ 0,0,0,1012,702,1,0,0,0,1012,707,1,0,0,0,1012,712,1,0,0,0,1012,717,1,0,
+ 0,0,1012,722,1,0,0,0,1012,727,1,0,0,0,1012,732,1,0,0,0,1012,737,1,0,0,
+ 0,1012,742,1,0,0,0,1012,747,1,0,0,0,1012,752,1,0,0,0,1012,757,1,0,0,0,
+ 1012,762,1,0,0,0,1012,767,1,0,0,0,1012,772,1,0,0,0,1012,777,1,0,0,0,1012,
+ 782,1,0,0,0,1012,787,1,0,0,0,1012,792,1,0,0,0,1012,797,1,0,0,0,1012,802,
+ 1,0,0,0,1012,807,1,0,0,0,1012,812,1,0,0,0,1012,817,1,0,0,0,1012,822,1,
+ 0,0,0,1012,827,1,0,0,0,1012,832,1,0,0,0,1012,837,1,0,0,0,1012,842,1,0,
+ 0,0,1012,847,1,0,0,0,1012,852,1,0,0,0,1012,857,1,0,0,0,1012,862,1,0,0,
+ 0,1012,867,1,0,0,0,1012,872,1,0,0,0,1012,877,1,0,0,0,1012,882,1,0,0,0,
+ 1012,887,1,0,0,0,1012,892,1,0,0,0,1012,897,1,0,0,0,1012,902,1,0,0,0,1012,
+ 907,1,0,0,0,1012,912,1,0,0,0,1012,917,1,0,0,0,1012,922,1,0,0,0,1012,927,
+ 1,0,0,0,1012,932,1,0,0,0,1012,937,1,0,0,0,1012,942,1,0,0,0,1012,947,1,
+ 0,0,0,1012,952,1,0,0,0,1012,957,1,0,0,0,1012,962,1,0,0,0,1012,967,1,0,
+ 0,0,1012,972,1,0,0,0,1012,977,1,0,0,0,1012,982,1,0,0,0,1012,987,1,0,0,
+ 0,1012,992,1,0,0,0,1012,997,1,0,0,0,1012,1002,1,0,0,0,1012,1007,1,0,0,
+ 0,1013,47,1,0,0,0,1014,1015,3,32,16,0,1015,1016,5,0,0,1,1016,1017,6,24,
+ -1,0,1017,49,1,0,0,0,36,57,65,73,75,82,92,102,107,123,125,138,140,153,
+ 155,176,178,211,213,232,239,248,267,279,281,292,303,316,318,327,335,340,
+ 354,364,377,380,1012
};
public static readonly ATN _ATN =
diff --git a/Sources/AngouriMath/Core/Domains.Classes.cs b/Sources/AngouriMath/Core/Domains.Classes.cs
index fca720fc1..a68235a43 100644
--- a/Sources/AngouriMath/Core/Domains.Classes.cs
+++ b/Sources/AngouriMath/Core/Domains.Classes.cs
@@ -547,6 +547,14 @@ partial record Powersetf
///
internal override Domain DefaultCodomain => Domain.Any;
}
+
+ partial record IndexedSetOperation
+ {
+ ///
+ public override Domain Codomain { get; protected init; } = Domain.Any;
+ ///
+ internal override Domain DefaultCodomain => Domain.Any;
+ }
}
partial record Dividesf
diff --git a/Sources/AngouriMath/Core/Entity/Omni/Entity.Omni.Classes.cs b/Sources/AngouriMath/Core/Entity/Omni/Entity.Omni.Classes.cs
index 5cee9b186..c75486117 100644
--- a/Sources/AngouriMath/Core/Entity/Omni/Entity.Omni.Classes.cs
+++ b/Sources/AngouriMath/Core/Entity/Omni/Entity.Omni.Classes.cs
@@ -978,6 +978,91 @@ public override Set Filter(Entity predicate, Variable over)
=> new ConditionalSet(over, over.In(this) & predicate);
}
#endregion
+
+ #region Indexed union and intersection
+ ///
+ /// A union or an intersection of a family of sets indexed by a name ranging over a
+ /// set: union(A_i, i in I) is ⋃_{i ∈ I} A_i, the set of what is in some
+ /// A_i, and intersection(A_i, i in I) is ⋂_{i ∈ I} A_i, what is in
+ /// every one. A binder, like a quantifier: the name is bound throughout the body and
+ /// the index set. Folded to the binary operators over a listed index set -- the
+ /// reference's ⋃_{i=1}^{10} {i, 2i} is union({i, 2 i}, i in ZZ+ /\ [1; 10])
+ /// -- and an object that answers membership through the quantifiers otherwise:
+ /// x in union(A_i, i in I) is exists i in I : x in A_i.
+ /// https://github.com/asc-community/AngouriMath/issues/1409
+ ///
+ public abstract partial record IndexedSetOperation(Entity Var, Entity Over, Entity Body) : Set
+ {
+ /// The name this operation binds.
+ public Entity Var { get; init; } = Binding.Of(Var).Name;
+
+ /// The index set the bound name ranges over.
+ public Entity Over { get; init; } = Binding.Of(Var).In(Over);
+
+ /// The set indexed by the bound name.
+ public Entity Body { get; init; } = Binding.Of(Var).In(Body);
+
+ internal override Priority Priority => Priority.Func;
+
+ /// The same operation over another name, index set and body.
+ internal abstract IndexedSetOperation New(Entity var, Entity over, Entity body);
+
+ /// The function this operation is written as: union or intersection.
+ internal abstract string Keyword { get; }
+
+ /// Whether is in the family's set for some index (a union) or every index (an intersection).
+ private protected abstract Entity Membership(Entity element);
+
+ ///
+ public override Entity Replace(Func func)
+ => func(New(Var, Over.Replace(func), Body.Replace(func)));
+
+ ///
+ protected override Entity[] InitDirectChildren() => new[] { Var, Over, Body };
+
+ ///
+ public override bool TryContains(Entity entity, out bool contains)
+ {
+ contains = false;
+ if (entity.ContainsNode(Var))
+ return false;
+ if (Membership(entity).InnerSimplified is Boolean verdict)
+ {
+ contains = verdict == Boolean.True;
+ return true;
+ }
+ return false;
+ }
+
+ ///
+ public override bool IsSetFinite => false;
+
+ ///
+ public override bool IsSetEmpty => false;
+
+ ///
+ public override Set Filter(Entity predicate, Variable over)
+ => new ConditionalSet(over, over.In(this) & predicate);
+ }
+
+ /// union(A_i, i in I): the members of some A_i. See .
+ public sealed partial record IndexedUnionf(Entity Var, Entity Over, Entity Body) : IndexedSetOperation(Var, Over, Body)
+ {
+ internal override IndexedSetOperation New(Entity var, Entity over, Entity body)
+ => ReferenceEquals(Var, var) && ReferenceEquals(Over, over) && ReferenceEquals(Body, body) ? this : new IndexedUnionf(var, over, body);
+ internal override string Keyword => "union";
+ private protected override Entity Membership(Entity element) => new Existsf(Var, Over, element.In(Body));
+ }
+
+ /// intersection(A_i, i in I): the members of every A_i. See .
+ public sealed partial record IndexedIntersectionf(Entity Var, Entity Over, Entity Body) : IndexedSetOperation(Var, Over, Body)
+ {
+ internal override IndexedSetOperation New(Entity var, Entity over, Entity body)
+ => ReferenceEquals(Var, var) && ReferenceEquals(Over, over) && ReferenceEquals(Body, body) ? this : new IndexedIntersectionf(var, over, body);
+ internal override string Keyword => "intersection";
+ private protected override Entity Membership(Entity element) => new Forallf(Var, Over, element.In(Body));
+ }
+ #endregion
}
///
diff --git a/Sources/AngouriMath/Core/Entity/Omni/Sets/SetOperators.SpecialSets.cs b/Sources/AngouriMath/Core/Entity/Omni/Sets/SetOperators.SpecialSets.cs
index e3294e2c9..5594c6377 100644
--- a/Sources/AngouriMath/Core/Entity/Omni/Sets/SetOperators.SpecialSets.cs
+++ b/Sources/AngouriMath/Core/Entity/Omni/Sets/SetOperators.SpecialSets.cs
@@ -5,6 +5,7 @@
// Website: https://am.angouri.org.
//
+using PeterO.Numbers;
using static AngouriMath.Entity;
using static AngouriMath.Entity.Set;
@@ -29,6 +30,33 @@ internal static partial class SetOperators
_ => null
};
+ ///
+ /// A number set cut by a numeric interval: the interval itself for the reals and the
+ /// complex numbers, since a real interval lies in both; the integers in it, listed,
+ /// for the three integer sets, where there are at most 4096 of them -- the
+ /// reference's [n] = {1, ..., n} is ZZ+ /\ [1; n], and its indexed
+ /// unions run over such ranges; and left as written for the rationals, which no
+ /// interval lists. https://github.com/asc-community/AngouriMath/issues/1409
+ ///
+ internal static Set? IntersectSpecialSetAndInterval(SpecialSet special, Interval interval)
+ {
+ if (!interval.IsNumeric)
+ return null;
+ switch (special)
+ {
+ case SpecialSet.Reals or SpecialSet.Complexes:
+ return interval;
+ case SpecialSet.Integers or SpecialSet.NonNegativeIntegers or SpecialSet.PositiveIntegers:
+ var lowest = special is SpecialSet.PositiveIntegers ? 1 : special is SpecialSet.NonNegativeIntegers ? 0 : (int?)null;
+ var cut = interval;
+ if (lowest is { } floor && ((Number.Real)interval.Left.Evaled).EDecimal.CompareTo(EDecimal.FromInt32(floor)) < 0)
+ cut = new Interval(Number.Integer.Create(floor), true, interval.Right, interval.RightClosed);
+ return Functions.ResidueClasses.Within(Variable.CreateTemp(System.Array.Empty()), EInteger.Zero, EInteger.One, cut);
+ default:
+ return null;
+ }
+ }
+
/// Two nested sets unite to the larger; BB with a number set has no name.
internal static Set? UniteSpecialSets(SpecialSet a, SpecialSet b)
{
diff --git a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
index a267efc7f..c13b3059e 100644
--- a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
+++ b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
@@ -97,6 +97,9 @@ [EntityJsonConverter] partial record Set
[EntityJsonConverter] partial record Inf;
[EntityJsonConverter] partial record Subsetf;
[EntityJsonConverter] partial record Powersetf;
+ [EntityJsonConverter] partial record IndexedSetOperation;
+ [EntityJsonConverter] partial record IndexedUnionf;
+ [EntityJsonConverter] partial record IndexedIntersectionf;
[EntityJsonConverter] partial record Intersectionf;
[EntityJsonConverter] partial record Interval;
[EntityJsonConverter] partial record SetMinusf;
diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md
index ea7680613..8a00853b6 100644
--- a/Sources/AngouriMath/Docs/Usage/Syntax.md
+++ b/Sources/AngouriMath/Docs/Usage/Syntax.md
@@ -168,6 +168,9 @@ with an operator parses.
| special | `RR` `CC` `ZZ` `QQ` `BB`, and the two subsets of `ZZ`: `ZZ*` = `{0, 1, 2, ...}`, `ZZ+` = `{1, 2, 3, ...}` |
| operations | `unite` `/\` … see the table above |
| power set | `powerset(A)` — the set of all subsets of `A`; listed for a finite `A` (`powerset({1, 2})` is `{ {}, {1}, {2}, {1, 2} }`, `powerset({})` is `{ {} }`), and for an infinite one an object that answers membership: `{1, 3} in powerset(ZZ)` is `True` |
+| integer range | `ZZ /\ [1; 10]`, `ZZ+ /\ [-2; 3]`, `[0; 2.5] /\ ZZ*` — an integer set cut by a numeric interval lists its members (up to 4096 of them): `{ 1, 2, …, 10 }`, `{ 1, 2, 3 }`, `{ 0, 1, 2 }`. The `[n] = {1, …, n}` of combinatorics is `ZZ+ /\ [1; n]` |
+| indexed union, intersection | `union(A_k, k in I)`, `intersection(A_k, k in I)` — `⋃_{k ∈ I} A_k` and `⋂_{k ∈ I} A_k`; the name is bound, as under `sum`. Folded over a listed index set (`union({k, 2 k}, k in ZZ+ /\ [1; 10])` is `{ 1, …, 10, 12, 14, 16, 18, 20 }`), and over any other an object whose membership goes through the quantifiers: `0 in intersection([0; 1/n), n in ZZ+)` is `True` and `0.1 in …` is `False`. Note that `i` is the imaginary unit, so an index is `k` or `n` |
+| complement | `complement(A, U)` — the complement of `A` relative to the universe `U`, which is `U \ A`; there is no universal set, so a complement is always relative to one |
**Subset.** `A subset B` — also `A ⊆ B`, which the parser reads and `Stringize` does not yet
print, and `B superset A` / `B ⊇ A`, which parse to the same node — is the statement that every
diff --git a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
index 736021e1d..9bbc13f87 100644
--- a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
+++ b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
@@ -656,6 +656,13 @@ private protected override IEnumerable InvertNode(Entity value, Entity x
"Inverting this node would need a set-valued answer, which the inverter cannot give");
}
+ partial record IndexedSetOperation
+ {
+ // The unknown sits under a binder; see Summationf.
+ private protected override IEnumerable InvertNode(Entity value, Entity x)
+ => Enumerable.Empty();
+ }
+
partial record Powersetf
{
// powerset(f(x)) = value has no inverse the inverter can write.
diff --git a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Omni/Evaluation.Omni.Classes.cs b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Omni/Evaluation.Omni.Classes.cs
index 6e1924b13..0cdd5922c 100644
--- a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Omni/Evaluation.Omni.Classes.cs
+++ b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Omni/Evaluation.Omni.Classes.cs
@@ -140,6 +140,8 @@ protected override Entity InnerSimplify(bool isExact)
(SpecialSet specialLeft, SpecialSet specialRight) => SetOperators.IntersectSpecialSets(specialLeft, specialRight),
(ConditionalSet cset, Interval interval) => SetOperators.IntersectCSetAndInterval(cset, interval),
(Interval interval, ConditionalSet cset) => SetOperators.IntersectCSetAndInterval(cset, interval),
+ (SpecialSet special, Interval interval) => SetOperators.IntersectSpecialSetAndInterval(special, interval),
+ (Interval interval, SpecialSet special) => SetOperators.IntersectSpecialSetAndInterval(special, interval),
// A /\ [a; +oo) /\ (-oo; b] groups to the left, so the two intervals never
// meet each other: regrouped, they do, and A meets one bounded interval.
(Intersectionf(var rest, Interval one), Interval another)
@@ -166,6 +168,32 @@ protected override Entity InnerSimplify(bool isExact)
(@this, a, b) => ((SetMinusf)@this).New(a, b), isExact, propagateSet: false);
}
+ partial record IndexedSetOperation
+ {
+ private protected override Entity IntrinsicCondition => Boolean.True;
+ ///
+ // Folded over a listed index set, largest first so that a chain of unions
+ // combines as it goes; over anything else the family stays a family.
+ protected override Entity InnerSimplify(bool isExact)
+ {
+ var over = Over.InnerSimplified(isExact);
+ var body = Body.InnerSimplified(isExact);
+ if (over is FiniteSet indices)
+ {
+ if (indices.Count == 0)
+ return this is IndexedUnionf ? Set.Empty : New(Var, over, body);
+ Entity? folded = null;
+ foreach (var index in indices)
+ {
+ var member = body.Substitute(Var, index);
+ folded = folded is null ? member : this is IndexedUnionf ? folded.Unite(member) : folded.Intersect(member);
+ }
+ return folded!.InnerSimplified(isExact);
+ }
+ return New(Var, over, body);
+ }
+ }
+
partial record Powersetf
{
private protected override Entity IntrinsicCondition => Boolean.True;
diff --git a/Sources/AngouriMath/Functions/Output/Latex/Latex.Omni.Classes.cs b/Sources/AngouriMath/Functions/Output/Latex/Latex.Omni.Classes.cs
index 498da4655..83c0a4194 100644
--- a/Sources/AngouriMath/Functions/Output/Latex/Latex.Omni.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/Latex/Latex.Omni.Classes.cs
@@ -112,6 +112,13 @@ partial record Powersetf
private protected override string LatexizeNode()
=> $@"\mathcal{{P}}\left({Argument.Latexize()}\right)";
}
+
+ partial record IndexedSetOperation
+ {
+ ///
+ private protected override string LatexizeNode()
+ => $@"\big{(this is IndexedUnionf ? "cup" : "cap")}_{{{Var.Latexize()} \in {Over.Latexize()}}} {Body.Latexize(Body.LatexPriority < Priority.SetOperation)}";
+ }
}
partial record Providedf
diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Omni.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Omni.Classes.cs
index ff976b1a6..645c6ba02 100644
--- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Omni.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Omni.Classes.cs
@@ -169,6 +169,28 @@ private protected override string StringizeNode()
///
public override string ToString() => Stringize();
}
+
+ partial record IndexedSetOperation
+ {
+ ///
+ private protected override string StringizeNode()
+ => $"{Keyword}({Body.Stringize()}, {Var.Stringize()} in {Over.Stringize(Over.Priority < Priority.SetOperation)})";
+ }
+
+ // ToString on each sealed record rather than on the base: a record's generated
+ // PrintMembers calls ToString on its members, and an override on the base is what
+ // the generated one calls back into.
+ partial record IndexedUnionf
+ {
+ ///
+ public override string ToString() => Stringize();
+ }
+
+ partial record IndexedIntersectionf
+ {
+ ///
+ public override string ToString() => Stringize();
+ }
}
diff --git a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Omni.Classes.cs b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Omni.Classes.cs
index 9df30dd7e..60a358fbc 100644
--- a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Omni.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Omni.Classes.cs
@@ -5,6 +5,7 @@
// Website: https://am.angouri.org.
//
+using System.Linq;
using AngouriMath.Core.Exceptions;
namespace AngouriMath
@@ -123,6 +124,16 @@ internal override string ToSymPy()
=> $"({Sub.ToSymPy()}).is_subset({Super.ToSymPy()})";
}
+ partial record IndexedSetOperation
+ {
+ // SymPy's Union and Intersection take the sets listed; a family over a set
+ // it cannot list has no translation.
+ internal override string ToSymPy()
+ => Over is FiniteSet listed
+ ? $"sympy.{(this is IndexedUnionf ? "Union" : "Intersection")}({string.Join(", ", listed.Select(index => Body.Substitute(Var, index).ToSymPy()))})"
+ : throw new NotSufficientlySupportedException("SymPy lists the sets a union or an intersection is over, and this family is over a set that is not listed");
+ }
+
partial record Powersetf
{
internal override string ToSymPy()
diff --git a/Sources/AngouriMath/Functions/Substitute.cs b/Sources/AngouriMath/Functions/Substitute.cs
index 1b03125d0..2d9bcf028 100644
--- a/Sources/AngouriMath/Functions/Substitute.cs
+++ b/Sources/AngouriMath/Functions/Substitute.cs
@@ -378,6 +378,26 @@ partial record Powersetf
public override Entity Substitute(Entity x, Entity value)
=> x == this ? value : New(Argument.Substitute(x, value));
}
+
+ partial record IndexedSetOperation
+ {
+ ///
+ // Bound throughout, as under a quantifier: nothing is substituted for the name,
+ // and a value that mentions it is kept out of its reach by renaming.
+ public override Entity Substitute(Entity x, Entity value)
+ {
+ if (this == x)
+ return value;
+ if (x.ContainsNode(Var))
+ return this;
+ if (value.ContainsNode(Var) && Var is Variable bound)
+ {
+ var fresh = Variable.CreateUnique(this + value, bound.Name);
+ return New(fresh, Over.Substitute(bound, fresh).Substitute(x, value), Body.Substitute(bound, fresh).Substitute(x, value));
+ }
+ return New(Var, Over.Substitute(x, value), Body.Substitute(x, value));
+ }
+ }
}
partial record Phif
diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
index 4207923db..20be5d52d 100644
--- a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
+++ b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
@@ -432,6 +432,12 @@ partial record Powersetf
private protected override string SortHashName(SortLevel level)
=> level == SortLevel.LOW_LEVEL ? "powerset_" : "";
}
+
+ partial record IndexedSetOperation
+ {
+ private protected override string SortHashName(SortLevel level)
+ => level == SortLevel.LOW_LEVEL ? "indexed" + Keyword + "_" : "";
+ }
}
partial record Phif
diff --git a/Sources/Tests/UnitTests/Common/PublicApi.txt b/Sources/Tests/UnitTests/Common/PublicApi.txt
index 204c6735b..5ca485163 100644
--- a/Sources/Tests/UnitTests/Common/PublicApi.txt
+++ b/Sources/Tests/UnitTests/Common/PublicApi.txt
@@ -1968,6 +1968,55 @@ AngouriMath.Entity+Set+FiniteSet.ctor(System.Collections.Generic.IEnumerable$() : AngouriMath.Entity+Set+IndexedIntersectionf
+AngouriMath.Entity+Set+IndexedIntersectionf.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&, AngouriMath.Entity&) : System.Void
+AngouriMath.Entity+Set+IndexedIntersectionf.EqualityContract { } : System.Type
+AngouriMath.Entity+Set+IndexedIntersectionf.Equals(AngouriMath.Entity+Set+IndexedIntersectionf) : System.Boolean
+AngouriMath.Entity+Set+IndexedIntersectionf.Equals(AngouriMath.Entity+Set+IndexedSetOperation) : System.Boolean
+AngouriMath.Entity+Set+IndexedIntersectionf.Equals(System.Object) : System.Boolean
+AngouriMath.Entity+Set+IndexedIntersectionf.GetHashCode() : System.Int32
+AngouriMath.Entity+Set+IndexedIntersectionf.PrintMembers(System.Text.StringBuilder) : System.Boolean
+AngouriMath.Entity+Set+IndexedIntersectionf.ToString() : System.String
+AngouriMath.Entity+Set+IndexedIntersectionf.ctor(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity)
+AngouriMath.Entity+Set+IndexedIntersectionf.op_Equality(AngouriMath.Entity+Set+IndexedIntersectionf, AngouriMath.Entity+Set+IndexedIntersectionf) : System.Boolean
+AngouriMath.Entity+Set+IndexedIntersectionf.op_Inequality(AngouriMath.Entity+Set+IndexedIntersectionf, AngouriMath.Entity+Set+IndexedIntersectionf) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.$() : AngouriMath.Entity+Set+IndexedSetOperation
+AngouriMath.Entity+Set+IndexedSetOperation.Body { } : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.Codomain { } : AngouriMath.Core.Domain
+AngouriMath.Entity+Set+IndexedSetOperation.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&, AngouriMath.Entity&) : System.Void
+AngouriMath.Entity+Set+IndexedSetOperation.EqualityContract { } : System.Type
+AngouriMath.Entity+Set+IndexedSetOperation.Equals(AngouriMath.Entity+Set) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Equals(AngouriMath.Entity+Set+IndexedSetOperation) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Equals(System.Object) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Filter(AngouriMath.Entity, AngouriMath.Entity+Variable) : AngouriMath.Entity+Set
+AngouriMath.Entity+Set+IndexedSetOperation.GetHashCode() : System.Int32
+AngouriMath.Entity+Set+IndexedSetOperation.InitDirectChildren() : AngouriMath.Entity[]
+AngouriMath.Entity+Set+IndexedSetOperation.InnerSimplify(System.Boolean) : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.IsSetEmpty { } : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.IsSetFinite { } : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Over { } : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.PrintMembers(System.Text.StringBuilder) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Replace(System.Func) : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.Substitute(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.ToString() : System.String
+AngouriMath.Entity+Set+IndexedSetOperation.TryContains(AngouriMath.Entity, System.Boolean&) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.Var { } : AngouriMath.Entity
+AngouriMath.Entity+Set+IndexedSetOperation.ctor(AngouriMath.Entity+Set+IndexedSetOperation)
+AngouriMath.Entity+Set+IndexedSetOperation.ctor(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity)
+AngouriMath.Entity+Set+IndexedSetOperation.op_Equality(AngouriMath.Entity+Set+IndexedSetOperation, AngouriMath.Entity+Set+IndexedSetOperation) : System.Boolean
+AngouriMath.Entity+Set+IndexedSetOperation.op_Inequality(AngouriMath.Entity+Set+IndexedSetOperation, AngouriMath.Entity+Set+IndexedSetOperation) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.$() : AngouriMath.Entity+Set+IndexedUnionf
+AngouriMath.Entity+Set+IndexedUnionf.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&, AngouriMath.Entity&) : System.Void
+AngouriMath.Entity+Set+IndexedUnionf.EqualityContract { } : System.Type
+AngouriMath.Entity+Set+IndexedUnionf.Equals(AngouriMath.Entity+Set+IndexedSetOperation) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.Equals(AngouriMath.Entity+Set+IndexedUnionf) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.Equals(System.Object) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.GetHashCode() : System.Int32
+AngouriMath.Entity+Set+IndexedUnionf.PrintMembers(System.Text.StringBuilder) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.ToString() : System.String
+AngouriMath.Entity+Set+IndexedUnionf.ctor(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity)
+AngouriMath.Entity+Set+IndexedUnionf.op_Equality(AngouriMath.Entity+Set+IndexedUnionf, AngouriMath.Entity+Set+IndexedUnionf) : System.Boolean
+AngouriMath.Entity+Set+IndexedUnionf.op_Inequality(AngouriMath.Entity+Set+IndexedUnionf, AngouriMath.Entity+Set+IndexedUnionf) : System.Boolean
AngouriMath.Entity+Set+Inf.$() : AngouriMath.Entity+Set+Inf
AngouriMath.Entity+Set+Inf.Codomain { } : AngouriMath.Core.Domain
AngouriMath.Entity+Set+Inf.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&) : System.Void
@@ -2744,10 +2793,13 @@ AngouriMath.MathS+Series.Taylor(AngouriMath.Entity, System.Int32, System.ValueTu
AngouriMath.MathS+Series.TaylorTerms(AngouriMath.Entity, System.ValueTuple[]) : System.Collections.Generic.IEnumerable
AngouriMath.MathS+Sets.C { } : AngouriMath.Entity+Set
AngouriMath.MathS+Sets.Card(AngouriMath.Entity) : AngouriMath.Entity
+AngouriMath.MathS+Sets.Complement(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity+Set
AngouriMath.MathS+Sets.ElementInSet(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
AngouriMath.MathS+Sets.Empty { } : AngouriMath.Entity+Set
AngouriMath.MathS+Sets.Finite(AngouriMath.Entity[]) : AngouriMath.Entity+Set+FiniteSet
AngouriMath.MathS+Sets.Finite(System.Collections.Generic.List) : AngouriMath.Entity+Set+FiniteSet
+AngouriMath.MathS+Sets.IndexedIntersection(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity+Set
+AngouriMath.MathS+Sets.IndexedUnion(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity+Set
AngouriMath.MathS+Sets.Interval(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity+Set+Interval
AngouriMath.MathS+Sets.Interval(AngouriMath.Entity, System.Boolean, AngouriMath.Entity, System.Boolean) : AngouriMath.Entity+Set+Interval
AngouriMath.MathS+Sets.NonNegativeIntegers { } : AngouriMath.Entity+Set
@@ -3022,6 +3074,9 @@ class AngouriMath.Entity+Secantf
class AngouriMath.Entity+Set
class AngouriMath.Entity+Set+ConditionalSet
class AngouriMath.Entity+Set+FiniteSet
+class AngouriMath.Entity+Set+IndexedIntersectionf
+class AngouriMath.Entity+Set+IndexedSetOperation
+class AngouriMath.Entity+Set+IndexedUnionf
class AngouriMath.Entity+Set+Inf
class AngouriMath.Entity+Set+Intersectionf
class AngouriMath.Entity+Set+Interval
diff --git a/Sources/Tests/UnitTests/Core/Sets/IndexedSetOperationTest.cs b/Sources/Tests/UnitTests/Core/Sets/IndexedSetOperationTest.cs
new file mode 100644
index 000000000..dc5922a40
--- /dev/null
+++ b/Sources/Tests/UnitTests/Core/Sets/IndexedSetOperationTest.cs
@@ -0,0 +1,90 @@
+//
+// Copyright (c) 2019-2026 Angouri.
+// AngouriMath is licensed under MIT.
+// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.
+// Website: https://am.angouri.org.
+//
+
+using AngouriMath;
+using AngouriMath.Extensions;
+using Xunit;
+using static AngouriMath.Entity;
+
+namespace AngouriMath.Tests.Core.Sets
+{
+ ///
+ /// Indexed unions and intersections, the complement relative to a universe, and the
+ /// integer range [n] = ZZ+ /\ [1; n] the reference writes them over (Sullivan and
+ /// Mackey, §§3.5–3.6 and Problem 3.11.21), with its examples as the rows. An index name is
+ /// k or n below where the book writes i, which is the imaginary unit here.
+ ///
+ ///
+ [Trait("Area", "Sets")]
+ public sealed class IndexedSetOperationTest
+ {
+ private static Entity Evaluated(string expression) => expression.ToEntity().Evaled;
+
+ /// An integer set cut by a numeric interval lists its members: the book's [n].
+ [Theory]
+ [InlineData("ZZ /\\ [1; 10]", "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}")]
+ [InlineData("ZZ+ /\\ [-2; 3]", "{1, 2, 3}")]
+ [InlineData("[0; 2.5] /\\ ZZ*", "{0, 1, 2}")]
+ [InlineData("ZZ /\\ (0; 3)", "{1, 2}")]
+ [InlineData("ZZ /\\ (1; 2)", "{}")]
+ [InlineData("RR /\\ [0; 1]", "[0; 1]")]
+ [InlineData("QQ /\\ [0; 1]", "QQ /\\ [0; 1]")]
+ [InlineData("ZZ /\\ [1; n]", "ZZ /\\ [1; n]")]
+ [InlineData("card(ZZ+ /\\ [1; 12])", "12")]
+ public void AnIntegerRangeIsListed(string expression, string expected)
+ => Assert.Equal(expected.ToEntity().Evaled, Evaluated(expression));
+
+ /// Ex 3.6.1: ⋃_{i=1}^{10} {i, 2i}; Ex 3.6.6: A_i = {i-2, …, i+2} over {1,2,3} and over {-1,0,1}.
+ [Theory]
+ [InlineData("union({k, 2 k}, k in ZZ+ /\\ [1; 10])", "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20}")]
+ [InlineData("union({k-2, k-1, k, k+1, k+2}, k in {1, 2, 3})", "{-1, 0, 1, 2, 3, 4, 5}")]
+ [InlineData("intersection({k-2, k-1, k, k+1, k+2}, k in {1, 2, 3})", "{1, 2, 3}")]
+ [InlineData("union({k-2, k-1, k, k+1, k+2}, k in {-1, 0, 1})", "{-3, -2, -1, 0, 1, 2, 3}")]
+ [InlineData("intersection({k-2, k-1, k, k+1, k+2}, k in {-1, 0, 1})", "{-1, 0, 1}")]
+ [InlineData("union([k; k + 1], k in {0, 1, 2})", "[0; 3]")]
+ [InlineData("union({k}, k in {})", "{}")]
+ public void AFamilyOverAListedIndexSetIsFolded(string expression, string expected)
+ => Assert.Equal(expected.ToEntity().Evaled, Evaluated(expression));
+
+ ///
+ /// Over an infinite index set the family is an object, and membership goes through the
+ /// quantifiers: x in union(A_n, n in I) is exists n in I : x in A_n. Problem
+ /// 3.11.20's ⋂ [n] = {1} and ⋃ [n] = ZZ+, and §3.9.5 Try 8's
+ /// ⋂ [0, 1/n) = {0}, read at their members.
+ ///
+ [Theory]
+ [InlineData("1 in intersection(ZZ+ /\\ [1; n], n in ZZ+)", "True")]
+ [InlineData("2 in intersection(ZZ+ /\\ [1; n], n in ZZ+)", "False")]
+ [InlineData("7 in union(ZZ+ /\\ [1; n], n in ZZ+)", "True")]
+ [InlineData("0 in intersection([0; 1/n), n in ZZ+)", "True")]
+ [InlineData("0.1 in intersection([0; 1/n), n in ZZ+)", "False")]
+ [InlineData("1.5 in union([1; (k+1)/k], k in ZZ+)", "True")]
+ public void MembershipOfAnInfiniteFamilyIsDecidedByTheQuantifiers(string expression, string expected)
+ => Assert.Equal(expected.ToEntity(), Evaluated(expression));
+
+ /// Ex 3.5.11: the complement of a set in a universe is the universe less the set.
+ [Theory]
+ [InlineData("complement({1, 2}, ZZ+ /\\ [1; 5])", "{3, 4, 5}")]
+ [InlineData("complement({1, 2, 3, 4, 5}, ZZ+ /\\ [1; 7])", "{6, 7}")]
+ public void AComplementIsRelativeToAUniverse(string expression, string expected)
+ => Assert.Equal(expected.ToEntity().Evaled, Evaluated(expression));
+
+ /// The index is bound: substituting for it changes nothing, and a value that mentions it is kept out of its reach.
+ [Fact]
+ public void TheIndexIsBound()
+ {
+ var family = "union({k, m}, k in {1, 2})".ToEntity();
+ Assert.Equal(family, family.Substitute("k", 5));
+ Assert.Equal("union({k, 3}, k in {1, 2})".ToEntity(), family.Substitute("m", 3));
+ var renamed = family.Substitute("m", "k + 1");
+ Assert.Equal("{1, 2, k + 1}".ToEntity().Evaled, renamed.Evaled);
+ Assert.Equal("union(A, k in I)", "union(A, k in I)".ToEntity().ToString());
+ Assert.Equal("intersection(A, k in I)", MathS.Sets.IndexedIntersection("A", "k", "I").ToString());
+ Assert.Equal(@"\bigcup_{k \in I} A", "union(A, k in I)".ToEntity().Latexize());
+ }
+ }
+}