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cpplisp_ct_test.cpp
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346 lines (285 loc) · 15.6 KB
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#include "cpplisp_ct.h"
#include <iostream>
#include <string>
using namespace std;
int main(int, char**){
{
using namespace cpplisp::lib;
using namespace cpplisp::internal;
using namespace cpplisp::util;
using namespace cpplisp;
StaticCheckEQ< Eval< Int<4> >::value, Int<4> >();
StaticCheckEQ< Eval< Bool<true> >::value, Bool<true> >();
StaticCheckEQ< Eval< Unit >::value, Unit >();
StaticCheckEQ< Eval< Add< Add< Int<1>, Int<3> >, Int<4> > >::value, Int<8> >();
StaticCheckEQ< Eval< Add< Int<-9>, Int<45> > >::value, Int<36> >();
StaticCheckEQ< Eval< Mul< Mul< Int<1>, Int<3> >, Int<4> > >::value, Int<12> >();
StaticCheckEQ< Eval< Mul< Add< Int<-7>, Int<-2> >, Add< Int<3>, Int<3> > > >::value, Int<-54> >();
StaticCheckEQ< Eval< Mod< Mul< Int<1>, Int<3> >, Int<4> > >::value, Int<3> >();
StaticCheckEQ< Eval< Mod< Int<9>, Int<6> > >::value, Int<3> >();
StaticCheckEQ< Eval< IsGreater< Add< Int<1>, Int<4> >, Int<8> > >::value, Bool<false> >();
StaticCheckEQ< Eval< IsLess< Add< Int<1>, Int<4> >, Int<8> > >::value, Bool<true> >();
StaticCheckEQ< Eval< IsEqual< Add< Int<4>, Int<4> >, Int<8> > >::value, Bool<true> >();
StaticCheckEQ< Eval< IsUnit<Unit> >::value, Bool<true> >();
StaticCheckEQ< Eval< IsUnit< Add< Int<2>, Int<2> > > >::value, Bool<false> >();
StaticCheckEQ< Eval< IsUnit< List< Int<9>, Int<2> > > >::value, Bool<false> >();
typedef Pair< Pair< Int<4>, Bool<true> >, Pair< Pair<Int<2>, Unit>, Bool<false> > > P;
StaticCheckEQ< Eval<P>::value, P >();
StaticCheckEQ< Eval< IsPair<P> >::value, Bool<true> >();
StaticCheckEQ< Eval< IsPair< Add< Int<1>, Int<2> > > >::value, Bool<false> >();
StaticCheckEQ< Eval< Fst< Fst<P> > >::value, Int<4> >();
StaticCheckEQ< Eval< Snd< Fst< Snd<P> > > >::value, Unit >();
StaticCheckEQ< Eval< Snd< Snd<P> > >::value, Bool<false> >();
typedef List< List< Int<2>, Bool<false> >,
List< Int<4>, Bool<true> >,
List< Int<6> > >
L1;
typedef Pair< Pair< Int<2>, Pair<Bool<false>, Unit> >,
Pair< Pair< Int<4>, Pair<Bool<true>, Unit> >,
Pair< Pair<Int<6>, Unit>,
Unit > > >
P1;
StaticCheckEQ< Eval<L1>::value, Eval<P1>::value >();
StaticCheckEQ< Eval< List< Int<5> > >::value, Pair< Int<5>, Unit > >();
StaticCheckEQ< Eval< Call< lib::IsList, L1 > >::value, Bool<true> >();
StaticCheckEQ< Eval< Call< lib::IsList, P1 > >::value, Bool<true> >();
StaticCheckEQ< Eval< Call< lib::IsList, Unit > >::value, Bool<true> >();
StaticCheckEQ< Eval< Call< lib::IsList, Snd< Snd< P1> > > >::value, Bool<true> >();
StaticCheckEQ< Eval< Call< lib::IsList, P > >::value, Bool<false> >();
typedef List< Int<0>, Int<1>, Int<2>, Int<3>, Int<4> > L3;
StaticCheckEQ< Eval< Call< lib::ListRef, L3, Add< Int<2>, Int<0> > > >::value, Int<2> >();
StaticCheckEQ< Eval< Call< lib::ListRef,
Call< lib::ListRef,
L1, Add< Int<0>, Int<0> > >,
Add< Int<-2>, Int<2> > > >::value,
Int<2> >();
typedef List< Int<0>, Int<1>, Int<2>, Int<3>, Int<4>, Int<5> > L4;
StaticCheckEQ< Eval< Call< lib::ListAppend, L3, Int<5> > >::value, Eval<L4>::value >();
StaticCheckEQ< Eval< Call< lib::ListAppend,
Call< lib::ListAppend, L3, Add< Int<1>, Int<4> > >,
List< Int<9> > > >::value,
Eval< Call< lib::ListAppend, L4, List< Int<9> > > >::value >();
StaticCheckEQ< Eval< If_Then_Else< IsGreater< Int<5>, Int<8> >,
L1,
P > >::value,
P >();
StaticCheckEQ< Eval< If_Then_Else< IsLess< Int<5>, Int<8> >,
L1,
P> >::value,
Eval<L1>::value >();
typedef VarValList< Var<0>, Int<0>,
VarValList< Var<1>, Int<1>, EmptyVarValList > >
VarValL0;
typedef VarValList< Var<2>, Int<2>,
VarValList< Var<0>, Int<0>,
VarValList< Var<1>, Int<1>,
EmptyVarValList > > >
VarValL1;
StaticCheckEQ< VarValListExtend< Var<2>, Int<2>, VarValL0 >::value,
VarValL1 >();
StaticCheckEQ< VarValListLookup<Var<2>, VarValL1>::value, Int<2> >();
StaticCheckEQ< VarValListLookup<Var<0>, VarValL1>::value, Int<0> >();
StaticCheckEQ< VarValListLookup<Var<1>, VarValL1>::value, Int<1> >();
StaticCheckEQ< VarValListLookup<Var<3>, VarValL1>::value, EmptyType >();
typedef VarValList< Var<8>, Int<8>,
VarValList< Var<9>, Int<9>, EmptyVarValList > >
VarValL2;
typedef VarValList< Var<5>, Int<5>,
VarValList< Var<6>, Int<6>,
VarValList< Var<7>, Int<7>,
EmptyVarValList > > >
VarValL3;
typedef Env< VarValL2,
Env< VarValL3, EmptyEnv > >
E0;
typedef Env< VarValL0,
Env< VarValL1,
Env< VarValL2,
Env< VarValL3, EmptyEnv > > > >
E1;
StaticCheckEQ< EnvExtend<VarValL0, EnvExtend<VarValL1, E0>::value>::value, E1 >();
StaticCheckEQ< EnvLookup<Var<0>, E1>::value, Int<0> >();
StaticCheckEQ< EnvLookup<Var<0>, E0>::value, EmptyType >();
StaticCheckEQ< EnvLookup<Var<8>, E1>::value, Int<8> >();
StaticCheckEQ< EnvLookup<Var<7>, E1>::value, Int<7> >();
StaticCheckEQ< EnvLookup<Var<6>, E0>::value, Int<6> >();
typedef Lambda< ParamList< Var<0>, Var<1> >,
Add< Var<0>, Var<1> > >
Plus;
StaticCheckEQ< Eval<Plus>::value, Closure<EmptyEnv, Plus> >();
StaticCheckEQ< Eval< Call< Plus, Int<2>, Int<1> > >::value,
Int<3> >();
StaticCheckEQ< Eval< Call< Lambda< ParamList< Var<0> >, Var<0> >,
Int<1> > >::value,
Int<1> >();
StaticCheckEQ< Eval< Call< If_Then_Else< Bool<true>,
Plus,
Int<1> >,
Int<2>, Int<1> > >::value,
Int<3> >();
// lexcal binding, lambda y.(lambda x.(lambda y.x+y 3) y) 7
StaticCheckEQ< Eval< Call< Lambda< ParamList< Var<0> >,
Call< Lambda< ParamList< Var<1> >,
Call< Lambda< ParamList< Var<0> >,
Add< Var<0>, Var<1> > >,
Int<3> > >,
Var<0> > >,
Int<7> > >::value,
Int<10> >();
// syntatic closure
StaticCheckEQ< Eval< Call< Call< Lambda< ParamList< Var<0> >,
Lambda< ParamList< Var<1> >,
Add< Var<0>, Var<1> > > >,
Int<3> >,
Int<4> > >::value,
Int<7> >();
// anonymous recursion, Factorial, F = lambda f. lambda n. n==0 ? 1 : n*( (f f) (n-1) )
// ( (F F) n ) = n!
StaticCheckEQ< Eval< Call< Call< Lambda< ParamList< Var<1> >, // F
Lambda< ParamList< Var<0> >,
If_Then_Else< IsEqual< Var<0>, Int<0> >,
Int<1>,
Mul< Var<0>,
Call< Call< Var<1>, Var<1> >,
Add< Var<0>, Int<-1> > > > > > >,
Lambda< ParamList< Var<1> >, // F
Lambda< ParamList< Var<0> >,
If_Then_Else< IsEqual< Var<0>, Int<0> >,
Int<1>,
Mul< Var<0>,
Call< Call< Var<1>, Var<1> >,
Add< Var<0>, Int<-1> > > > > > > >,
Int<5> > >::value,
Int<120> >();
// --------------------------------------------------------------------------------------------
// Y Combinator, lambda f. (lambda x. (f lambda y. ((x x) y))
// lambda x. (f lambda y. ((x x) y)))
typedef Lambda< ParamList< Var<0> >, // Y Combinator
Call< Lambda< ParamList< Var<1> >,
Call< Var<0>,
Lambda< ParamList< Var<2> >,
Call< Call< Var<1>, Var<1> >,
Var<2> > > > >,
Lambda< ParamList< Var<1> >,
Call< Var<0>,
Lambda< ParamList< Var<2> >,
Call< Call< Var<1>, Var<1> >,
Var<2> > > > > > >
YCombinater;
// F = lambda f. lambda n. n==0 ? 1 : n*(f n-1)
// (Fact 5) = ((Y F) 5)
StaticCheckEQ< Eval< Call<
Call<YCombinater, // Fact = (Y F)
Lambda< ParamList< Var<0> >, // F
Lambda< ParamList< Var<1> >,
If_Then_Else< IsEqual< Var<1>, Int<0> >,
Int<1>,
Mul< Var<1>,
Call< Var<0>,
Add< Var<1>, Int<-1> > > > > > > >,
Int<5> > >::value, // (Fact 5)
Int<120> >();
// Reduce = lambda List. lambda Op. lambda Init. List==Nil ? Init : Fst(list) Op (((Reduce Snd(list)) Op) Init)
// F = lambda f. lambda List. lambda Op. lambda Init. List==Nil ? Init : (Op Fst(list) (((f Snd(list)) Op) Init))
typedef Lambda< ParamList< Var<0> >, // f
Lambda< ParamList< Var<1> >, // List
Lambda< ParamList< Var<2> >, // Op
Lambda< ParamList< Var<3> >, // Init
If_Then_Else< IsUnit< Var<1> >,
Var<3>,
Call< Var<2>,
Fst< Var<1> >,
Call< Call< Call< Var<0>,
Snd< Var<1> > >,
Var<2> >,
Var<3> > > > > > > >
F;
// Reduce = (Y F)
typedef Call<YCombinater, F> Reduce;
// Sum = lambda List. (((Reduce List) lambda x y. Add(x, y)) 0)
typedef Lambda< ParamList< Var<0> >, // List
Call< Call< Call< Reduce, Var<0> >,
Lambda< ParamList< Var<2>, Var<1> >,
Add< Var<2>, Var<1> > > >,
Int<0> > >
Sum;
StaticCheckEQ< Eval< Call< Sum, List< Int<1>, Int<2>, Int<3> > > >::value, Int<6> >();
//----------------------------------------------------------------------------------------------------------
// call/cc
StaticCheckEQ< Eval< CallCC< Lambda< ParamList< Var<0> >, Int<1> > > >::value, Int<1> >();
StaticCheckEQ< Eval< CallCC< Lambda< ParamList< Var<0> >, Call< Var<0>, Int<1> > > > >::value, Int<1> >();
StaticCheckEQ< Eval< Add< Int<1>,
CallCC< Lambda< ParamList< Var<0> >,
Add< Int<2>, Int<3> > > > > >::value,
Int<6> >();
StaticCheckEQ< Eval< Add< Int<1>,
CallCC< Lambda< ParamList< Var<0> >,
Add< Int<2>,
Call< Var<0>, Int<3> > > > > > >::value,
Int<4> >();
// (((call/cc (lambda (k) k)) (lambda (k) k)) 3) = 3
StaticCheckEQ< Eval< Call< Call< CallCC< Lambda< ParamList< Var<0> >,
Var<0> > >,
Lambda< ParamList< Var<0> >,
Var<0> > >,
Int<3> > >::value,
Int<3> >();
// ((lambda (k) (k (lambda (k) 2))) (call/cc (lambda (k) k))) = 2
StaticCheckEQ< Eval< Call< Lambda< ParamList< Var<0> >,
Call< Var<0>,
Lambda< ParamList< Var<0> >,
Int<2> > > >,
CallCC< Lambda< ParamList< Var<0> >,
Var<0> > > > >::value,
Int<2> >();
} // compile_time test
{
using namespace cpplisp::lib;
using namespace cpplisp::internal;
using namespace cpplisp;
cout<<endl;
cout<<"4 + 5 = ";
cout<< Eval< Add< Int<4>, Int<5> > >::value::value;
cout<<endl;
cout<<"4 * 5 = ";
cout<< Eval< Mul< Int<4>, Int<5> > >::value::value;
cout<<endl;
cout<<"4 % 5 = ";
cout<< Eval< Mod< Int<4>, Int<5> > >::value::value;
cout<<endl;
cout<<endl;
cout<<"4 > 5 : ";
cout<< Eval< IsGreater< Int<4>, Int<5> > >::value::value;
cout<<endl;
cout<<"4 < 5 : ";
cout<< Eval< IsLess< Int<4>, Int<5> > >::value::value;
cout<<endl;
cout<<"4 = 4 : ";
cout<< Eval< IsEqual< Int<4>, Int<4> > >::value::value;
cout<<endl;
cout<<endl;
cout<<"First of Pair<4, 5> : ";
cout<< Eval< Fst< Pair< Int<4>, Int<5> > > >::value::value;
cout<<endl;
cout<<"Second of Pair<4, 5> : ";
cout<< Eval< Snd< Pair< Int<4>, Int<5> > > >::value::value;
cout<<endl;
cout<<endl;
cout<<"Is Pair<4, 5> a List? : ";
cout<< Eval< Call< lib::IsList, Pair< Int<4>, Int<5> > > >::value::value;
cout<<endl;
cout<<"Is Pair< 4, Pair<5, Unit> > a List? : ";
cout<< Eval< Call< lib::IsList, List< Int<4>, Int<5> > > >::value::value;
cout<<endl;
cout<<"The num at index 2 of List<0, 1, 2, 3> : ";
cout<< Eval< Call< lib::ListRef, List< Int<0>, Int<1>, Int<2>, Int<3> >, Int<2> > >::value::value;
cout<<endl;
cout<<"The num at index 4 of ListAppend< List<0, 1, 2, 3>, 9 > : ";
cout<< Eval< Call< lib::ListRef,
Call< lib::ListAppend,
List< Int<0>, Int<1>, Int<2>, Int<3> >, Int<9> >,
Int<4> > >::value::value;
cout<<endl;
}
return 0;
}