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      1 /*
      2  * Copyright 2014 Google Inc. All rights reserved.
      3  *
      4  * Licensed under the Apache License, Version 2.0 (the "License");
      5  * you may not use this file except in compliance with the License.
      6  * You may obtain a copy of the License at
      7  *
      8  *     http://www.apache.org/licenses/LICENSE-2.0
      9  *
     10  * Unless required by applicable law or agreed to in writing, software
     11  * distributed under the License is distributed on an "AS IS" BASIS,
     12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     13  * See the License for the specific language governing permissions and
     14  * limitations under the License.
     15  */
     16 
     17 #ifndef FRUIT_META_SET_H
     18 #define FRUIT_META_SET_H
     19 
     20 #include <fruit/impl/fruit_assert.h>
     21 #include <fruit/impl/meta/immutable_set.h>
     22 #include <fruit/impl/meta/pair.h>
     23 #include <fruit/impl/meta/vector.h>
     24 
     25 namespace fruit {
     26 namespace impl {
     27 namespace meta {
     28 
     29 // Set ::= Vector<Ts...>, with no duplicates.
     30 
     31 using EmptySet = Vector<>;
     32 
     33 template <typename T>
     34 using ToSet1 = Vector<T>;
     35 
     36 template <typename T, typename U>
     37 using ToSet2 = Vector<T, U>;
     38 
     39 using IsInSet = IsInVector;
     40 
     41 // If S is a set with elements (T1, ..., Tn) this calculates
     42 // F(InitialValue, F(T1, F(..., F(Tn) ...))).
     43 // If S is EmptySet this returns InitialValue.
     44 using FoldSet = FoldVector;
     45 
     46 // If S is a set with elements (T1, ..., Tn) this calculates
     47 // Combine(F(T1), Combine(F(T2),..., F(Tn) ...)).
     48 //
     49 // `Combine' must be associative, and CombineIdentity must be an identity value wrt Combine.
     50 // Use this instead of FoldSet when possible, it shares more sub-instances when invoked multiple
     51 // times with similar sets.
     52 struct FoldSetWithCombine {
     53   template <typename S, typename F, typename Combine, typename CombineIdentity>
     54   struct apply {
     55     using type = FoldVector(TransformVector(S, F), Combine, CombineIdentity);
     56   };
     57 };
     58 
     59 // Converts a set (T1,...,Tn) to a set (F(T1), ..., F(Tn)).
     60 // F(T1), ..., F(Tn) must be distinct.
     61 using TransformSet = TransformVector;
     62 
     63 using SetSize = VectorSize;
     64 
     65 using AddToSetUnchecked = PushFront;
     66 
     67 struct AddToSet {
     68   template <typename S, typename T>
     69   struct apply {
     70     using type = If(IsInSet(T, S), S, AddToSetUnchecked(S, T));
     71   };
     72 };
     73 
     74 // Checks if S1 is contained in S2.
     75 struct IsContained {
     76   template <typename S1, typename S2>
     77   struct apply {
     78     struct Helper {
     79       template <typename CurrentResult, typename T>
     80       struct apply {
     81         using type = And(CurrentResult, IsInSet(T, S2));
     82       };
     83     };
     84 
     85     using type = FoldVector(S1, Helper, Bool<true>);
     86   };
     87 };
     88 
     89 // Checks if S1 is disjoint from S2.
     90 struct IsDisjoint {
     91   template <typename S1, typename S2>
     92   struct apply {
     93     struct Helper {
     94       template <typename CurrentResult, typename T>
     95       struct apply {
     96         using type = Or(CurrentResult, IsInSet(T, S2));
     97       };
     98     };
     99 
    100     using type = Not(FoldVector(S1, Helper, Bool<false>));
    101   };
    102 };
    103 
    104 struct IsEmptySet {
    105   template <typename S>
    106   struct apply {
    107     using type = Bool<false>;
    108   };
    109 };
    110 
    111 template <>
    112 struct IsEmptySet::apply<Vector<>> {
    113   using type = Bool<true>;
    114 };
    115 
    116 using SetToVector = Identity;
    117 
    118 // The vector must have no duplicates.
    119 using VectorToSetUnchecked = Identity;
    120 
    121 struct SetDifference {
    122   template <typename S1, typename S2>
    123   struct apply {
    124     struct Helper {
    125       template <typename CurrentResult, typename T>
    126       struct apply {
    127         using type = If(IsInSet(T, S2), CurrentResult, AddToSetUnchecked(CurrentResult, T));
    128       };
    129     };
    130 
    131     using type = FoldSet(S1, Helper, EmptySet);
    132   };
    133 };
    134 
    135 struct SetIntersection {
    136   template <typename S1, typename S2>
    137   struct apply {
    138     struct Helper {
    139       template <typename CurrentResult, typename T>
    140       struct apply {
    141         using type = If(IsInSet(T, S2), AddToSetUnchecked(CurrentResult, T), CurrentResult);
    142       };
    143     };
    144 
    145     using type = If(GreaterThan(SetSize(S1), SetSize(S2)), SetIntersection(S2, S1), FoldSet(S1, Helper, EmptySet));
    146   };
    147 };
    148 
    149 struct SetUnion {
    150   template <typename S1, typename S2>
    151   struct apply {
    152     using type = If(GreaterThan(SetSize(S1), SetSize(S2)), SetUnion(S2, S1),
    153                     FoldSet(SetDifference(S1, S2), AddToSetUnchecked, S2));
    154   };
    155 };
    156 
    157 using SetUncheckedUnion = ConcatVectors;
    158 
    159 struct IsSameSet {
    160   template <typename S1, typename S2>
    161   struct apply {
    162     using type = And(IsContained(S1, S2), IsContained(S2, S1));
    163   };
    164 };
    165 
    166 // Returns an arbitrary element from the given set (that must be non-empty).
    167 struct GetArbitrarySetElement {
    168   template <typename S>
    169   struct apply;
    170 
    171   template <typename T, typename... Ts>
    172   struct apply<Vector<T, Ts...>> {
    173     using type = T;
    174   };
    175 };
    176 
    177 } // namespace meta
    178 } // namespace impl
    179 } // namespace fruit
    180 
    181 #endif // FRUIT_META_SET_H
    182