lumiera_/tests/library/meta/function-composition-test.cpp

/*
  FunctionComposition(Test)  -  functional composition and partial application

   Copyright (C)
     2009,            Hermann Vosseler <Ichthyostega@web.de>

  **Lumiera** is free software; you can redistribute it and/or modify it
  under the terms of the GNU General Public License as published by the
  Free Software Foundation; either version 2 of the License, or (at your
  option) any later version. See the file COPYING for further details.

* *****************************************************************/

/** @file function-composition-test.cpp
 ** unit test \ref FunctionComposition_test
 */


#include "lib/test/run.hpp"
#include "lib/test/test-helper.hpp"
#include "lib/meta/typelist.hpp"
#include "lib/meta/function.hpp"
#include "lib/meta/function-closure.hpp"
#include "meta/typelist-diagnostics.hpp"

#include <tuple>

namespace lib  {
namespace meta {
namespace test {
  
  using ::test::Test;
//  using lib::test::showType;
  using lib::meta::_Fun;
  using func::applyFirst;
  using func::applyLast;
  using func::bindLast;
  using func::PApply;
  using func::BindToArgument;
  using std::make_tuple;
  using std::get;
  
  
  namespace { // test functions
    
    Num<1> _1_;
    Num<2> _2_;
    Num<3> _3_;
    Num<4> _4_;
    Num<5> _5_;
    Num<6> _6_;
    Num<7> _7_;
    Num<8> _8_;
    Num<9> _9_;
    
    /** "Function-1" will be used at the front side, accepting a tuple of values */
    template<uint i>
    Num<i>
    fun11 ( Num<i>   val1
          )
      {
        return val1;
      }
    
    template<uint i, uint ii>
    Num<i>
    fun12 ( Num<i>   val1
          , Num<ii>  val2
          )
      {
        val1.o_ += val2.o_;
        return val1;
      }
    
    template<uint i, uint ii, uint iii>
    Num<i>
    fun13 ( Num<i>   val1
          , Num<ii>  val2
          , Num<iii> val3
          )
      {
        val1.o_ += val2.o_ + val3.o_;
        return val1;
      }
    
    template<uint i, uint ii, uint iii, uint iv>
    Num<i>
    fun14 ( Num<i>   val1
          , Num<ii>  val2
          , Num<iii> val3
          , Num<iv>  val4
          )
      {
        val1.o_ += val2.o_ + val3.o_ + val4.o_;
        return val1;
      }
    
    template<uint i, uint ii, uint iii, uint iv, uint v>
    Num<i>
    fun15 ( Num<i>   val1
          , Num<ii>  val2
          , Num<iii> val3
          , Num<iv>  val4
          , Num<v>   val5
          )
      {
        val1.o_ += val2.o_ + val3.o_ + val4.o_ + val5.o_;
        return val1;
      }
    
    
    /** "Function-2" can be chained behind fun1 */
    template<class II>
    int
    fun2 (II val)
      {
        return val.o_;
      }
    
  } // (End) test data
  
  
  
  
  
  
  /**************************************************************************//**
   * @test this test covers some extensions and variations on function closures:
   *       - partial application of a function, returning a partial closure
   *       - variation: binding an arbitrary term, might even be a nested binder
   *       - chaining of two functions with suitable arguments ("composition")
   */
  class FunctionComposition_test : public Test
    {
      virtual void
      run (Arg)
        {
          check_diagnostics();
          check_partialApplication();
          check_functionalComposition();
          check_bindToArbitraryParameter();
          
          verify_referenceHandling();
        }
      
      
      /** verify the test input data */
      void
      check_diagnostics ()
        {
          CHECK (6 == (fun13<1,2,3> (_1_, _2_, _3_)).o_ );
          CHECK (6 == (fun13<1,1,1> (Num<1>(3), Num<1>(2), Num<1>(1))).o_ );
          
          CHECK ( 1 == fun2 (fun11<1> (_1_)) );
          CHECK ( 3 == fun2 (fun12<1,2> (_1_, _2_)) );
          CHECK ( 6 == fun2 (fun13<1,2,3> (_1_, _2_, _3_)) );
          CHECK (10 == fun2 (fun14<1,2,3,4> (_1_, _2_, _3_, _4_)) );
          CHECK (15 == fun2 (fun15<1,2,3,4,5> (_1_, _2_, _3_, _4_, _5_)) );
          
          CHECK ( 9 == fun2 (fun13<2,3,4> (_2_, _3_, _4_)) );
          CHECK (18 == fun2 (fun13<5,6,7> (_5_, _6_, _7_)) );
          CHECK (24 == fun2 (fun13<9,8,7> (_9_, _8_, _7_)) );
        }
      
      
      void
      check_partialApplication ()
        {
          // Because the code of the partial function application is very technical,
          // the following might serve as explanation what actually happens....
          // (and actually it's a leftover from initial debugging)
          
          typedef Num<1> Sig123(Num<1>, Num<2>, Num<3>);             // signature of the original function
          
          typedef Num<1> Sig23(Num<2>, Num<3>);                      // signature after having closed over the first argument
          using F23 = function<Sig23>;                               // and a std::function object to hold such a function
          
          Sig123& f = fun13<1,2,3>;                                  // the actual input: a reference to the bare function
          
          
          // Version1: do a direct argument binding----------------- //
          
          using PH1 = std::_Placeholder<1>;                          // std::function argument placeholders
          using PH2 = std::_Placeholder<2>;
          
          PH1 ph1;                                                   // these empty structs are used to mark the arguments to be kept "open"
          PH2 ph2;
          Num<1> num18 (18);                                         // ...and this value is for closing the first function argument
          
          F23 fun_23 = std::bind (f, num18                           // do the actual binding (i.e. close the first argument with a constant value)
                                   , ph1
                                   , ph2
                                 );
          
          int r1 = fun_23 (_2_,_3_).o_;                              // and invoke the resulting functor ("closure"), providing the remaining arguments
          CHECK (23 == r1);                                          // result ≡ num18 + _2_ + _3_  ≙ 18 + 2 + 3
          
          
          
          // Version2: extract the binding arguments from a tuple--- //
          
          using PartialArg =  Tuple<TySeq<Num<1>, PH1, PH2>>;        // Tuple type to hold the binding values. Note the placeholder types
          PartialArg arg{num18, PH1(), PH2()};                       // Value for partial application (the placeholders are default constructed)
          
          fun_23 = std::bind (f, get<0>(arg)                         // now extract the values to bind from this tuple
                               , get<1>(arg)
                               , get<2>(arg)
                             );
          
          int r2 = fun_23 (_2_,_3_).o_;                              // and invoke the resulting functor....
          CHECK (23 == r2);
          
          // function-closure.hpp defines a shorthand for this operation
          fun_23 = func::bindArgTuple (f, arg);
          
          int r3 = fun_23 (_2_,_3_).o_;
          CHECK (23 == r3);
          
          
          
          // Version3: let the PApply-template do the work for us--- //
          
          using ArgTypes = TySeq<Num<1>>;                            // now package just the argument(s) to be applied into a tuple
          Tuple<ArgTypes> args_to_bind{Num<1>(18)};
          
          fun_23 = PApply<Sig123, ArgTypes>::bindFront (f , args_to_bind);
                                                                     // "bindFront" will close the parameters starting from left....
          
          int r4 = fun_23 (_2_,_3_).o_;                              // invoke the resulting functor...
          CHECK (23 == r4);
          
          
          
          
          
          
          // Version4: as you'd typically do it in real life-------- //
          
/*
          fun_23 = func::applyFirst (f, Num<1>(18));                 // use the convenience function API to close over a single value
          
          int r5 = fun_23(_2_,_3_).o_;                               // invoke the resulting functor...
          CHECK (23 == r5);
          
          
          
          // what follows is the real unit test...
          function<Sig123> func123{f};                               // alternatively do it with an std::function object
          fun_23 = func::applyFirst (func123, Num<1>(19));
          int r5 = fun_23(_2_,_3_).o_;
          CHECK (24 == r5);
          
          using F12 = function<Num<1>(Num<1>, Num<2>)>;
          F12 fun_12 = func::applyLast (f, Num<3>(20));              // close the *last* argument of a function
          int r6 = fun_12(_1_,_2_).o_;
          CHECK (23 == r6);
          
          fun_12 = func::applyLast (func123, Num<3>(21));            // alternatively use a function object
          int r7 = fun_12(_1_,_2_).o_;
          CHECK (24 == r7);
          
          Sig123* fP = &f;                                           // a function pointer works too
          fun_12 = func::applyLast (fP, Num<3>(22));
          int r8 = fun_12(_1_,_2_).o_;
          CHECK (25 == r8);
                                                                     // cover more cases....
          
          CHECK (1         == (func::applyLast (fun11<1>        , _1_ ) ( )              ).o_);
          CHECK (1+3       == (func::applyLast (fun12<1,3>      , _3_ ) (_1_)            ).o_);
          CHECK (1+3+5     == (func::applyLast (fun13<1,3,5>    , _5_ ) (_1_,_3_)        ).o_);
          CHECK (1+3+5+7   == (func::applyLast (fun14<1,3,5,7>  , _7_ ) (_1_,_3_,_5_)    ).o_);
          CHECK (1+3+5+7+9 == (func::applyLast (fun15<1,3,5,7,9>, _9_ ) (_1_,_3_,_5_,_7_)).o_);
          
          CHECK (9+8+7+6+5 == (func::applyFirst(fun15<9,8,7,6,5>, _9_ ) (_8_,_7_,_6_,_5_)).o_);
          CHECK (  8+7+6+5 == (func::applyFirst(  fun14<8,7,6,5>, _8_ )     (_7_,_6_,_5_)).o_);
          CHECK (    7+6+5 == (func::applyFirst(    fun13<7,6,5>, _7_ )         (_6_,_5_)).o_);
          CHECK (      6+5 == (func::applyFirst(      fun12<6,5>, _6_ )             (_5_)).o_);
          CHECK (        5 == (func::applyFirst(        fun11<5>, _5_ )               ( )).o_);
      */
          
          
          
          // Finally a more convoluted example
          // covering the general case of partial function closure:
          typedef Num<5> Sig54321 (Num<5>, Num<4>, Num<3>, Num<2>, Num<1>);  // Signature of the 5-argument function
          typedef Num<5> Sig54    (Num<5>, Num<4>);                          // ...closing the last 3 arguments should yield this 2-argument function
          using Args2Close = TySeq<Num<3>, Num<2>, Num<1>>;                  // Tuple type to hold the 3 argument values used for the closure
          
          // Close the trailing 3 arguments of the 5-argument function...
          function<Sig54> fun_54 = PApply<Sig54321,Args2Close>::bindBack (fun15<5,4,3,2,1>
                                                                         ,make_tuple (_3_,_2_,_1_)
                                                                         );
          
          // apply the remaining argument values
          Num<5> resN5 = fun_54(_5_,_4_);
          CHECK (5+4+3+2+1 == resN5.o_);
        }
      
      
      
      void
      check_functionalComposition ()
        {
          typedef int Sig2(Num<1>);
          typedef Num<1> Sig11(Num<1>);
          typedef Num<1> Sig12(Num<1>,Num<2>);
          typedef Num<1> Sig13(Num<1>,Num<2>,Num<3>);
          typedef Num<1> Sig14(Num<1>,Num<2>,Num<3>,Num<4>);
          typedef Num<1> Sig15(Num<1>,Num<2>,Num<3>,Num<4>,Num<5>);
          
          Sig2 & ff = fun2< Num<1> >;
          Sig11& f1 = fun11<1>;
          Sig12& f2 = fun12<1,2>;
          Sig13& f3 = fun13<1,2,3>;
          Sig14& f4 = fun14<1,2,3,4>;
          Sig15& f5 = fun15<1,2,3,4,5>;
          
          CHECK (1         == func::chained(f1, ff) (_1_)                 );
          CHECK (1+2       == func::chained(f2, ff) (_1_,_2_)             );
          CHECK (1+2+3     == func::chained(f3, ff) (_1_,_2_,_3_)         );
          CHECK (1+2+3+4   == func::chained(f4, ff) (_1_,_2_,_3_,_4_)     );
          CHECK (1+2+3+4+5 == func::chained(f5, ff) (_1_,_2_,_3_,_4_,_5_) );
          
          
          function<Sig15> f5_fun = f5;     // also works with function objects...
          function<Sig2>  ff_fun = ff;
          CHECK (1+2+3+4+5 == func::chained(f5_fun, ff    ) (_1_,_2_,_3_,_4_,_5_) );
          CHECK (1+2+3+4+5 == func::chained(f5,     ff_fun) (_1_,_2_,_3_,_4_,_5_) );
          CHECK (1+2+3+4+5 == func::chained(f5_fun, ff_fun) (_1_,_2_,_3_,_4_,_5_) );
        }
      
      
      
      void
      check_bindToArbitraryParameter ()
        {
          typedef Num<1> Sig15(Num<1>,Num<2>,Num<3>,Num<4>,Num<5>);
          
          typedef Num<1> SigR1(       Num<2>,Num<3>,Num<4>,Num<5>);
          typedef Num<1> SigR2(Num<1>,       Num<3>,Num<4>,Num<5>);
          typedef Num<1> SigR3(Num<1>,Num<2>,       Num<4>,Num<5>);
          typedef Num<1> SigR4(Num<1>,Num<2>,Num<3>,       Num<5>);
          typedef Num<1> SigR5(Num<1>,Num<2>,Num<3>,Num<4>       );
          
          typedef Num<5> SigA5(Num<5>);
          
          Sig15& f = fun15<1,2,3,4,5>;
          SigA5& f5 = fun11<5>;
          
          function<SigR1> f_bound_1 = BindToArgument<Sig15,char,0>::reduced (f, 55);
          function<SigR2> f_bound_2 = BindToArgument<Sig15,char,1>::reduced (f, 55);
          function<SigR3> f_bound_3 = BindToArgument<Sig15,char,2>::reduced (f, 55);
          function<SigR4> f_bound_4 = BindToArgument<Sig15,char,3>::reduced (f, 55);
          function<SigR5> f_bound_5 = BindToArgument<Sig15,char,4>::reduced (f, 55);
          
          CHECK (55+2+3+4+5 == f_bound_1 (    _2_,_3_,_4_,_5_) );
          CHECK (1+55+3+4+5 == f_bound_2 (_1_,    _3_,_4_,_5_) );
          CHECK (1+2+55+4+5 == f_bound_3 (_1_,_2_,    _4_,_5_) );
          CHECK (1+2+3+55+5 == f_bound_4 (_1_,_2_,_3_,    _5_) );
          CHECK (1+2+3+4+55 == f_bound_5 (_1_,_2_,_3_,_4_    ) );
          
          
          // degenerate case: specify wrong argument position (behind end of argument list)
          // causes the argument to be simply ignored and no binding to happen
          function<Sig15> f_bound_X = BindToArgument<Sig15,char,5>::reduced (f, 88);
          CHECK (1+2+3+4+5  == f_bound_X (_1_,_2_,_3_,_4_,_5_) );
          
          
          /* check the convenient function-style API */
          
          using std::bind;
          
          f_bound_5 = bindLast (f, bind(f5, Num<5>(99)));
          CHECK (1+2+3+4+99 == f_bound_5 (_1_,_2_,_3_,_4_   ) );
          
          f_bound_5 = bindLast (f, bind(&f5, Num<5>(99)));        // can bind function pointer
          CHECK (1+2+3+4+99 == f_bound_5 (_1_,_2_,_3_,_4_   ) );
          
          function<Sig15> asFunctor(f);
          f_bound_5 = bindLast (asFunctor, bind(f5, Num<5>(88))); // use functor instead of direct ref
          CHECK (1+2+3+4+88 == f_bound_5 (_1_,_2_,_3_,_4_   ) );
        }
      
      
      /** @internal static function to pass as reference for test */
      static long floorIt (float it) { return long(floor (it)); }
      
      
      /** @test ensure reference types and arguments are handled properly */
      void
      verify_referenceHandling()
        {
          int   ii = 99;
          float ff = 88;
          auto fun = std::function{[](float& f, int& i, long l) -> double { return f + i + l; }};
          auto& f1 = fun;
          
          // build chained and a partially applied functors
          auto chain = func::chained(f1,floorIt);
          auto pappl = func::applyFirst (f1, ff);
          
          using Sig1 = _Fun<decltype(f1)>::Sig;
          using SigC = _Fun<decltype(chain)>::Sig;
          using SigP = _Fun<decltype(pappl)>::Sig;
          
//          CHECK (showType<Sig1>() == "double (float&, int&, long)"_expect);
//          CHECK (showType<SigC>() ==   "long (float&, int&, long)"_expect);
//          CHECK (showType<SigP>() ==         "double (int&, long)"_expect);
          
          CHECK (220 == f1   (ff,ii,33));
          CHECK (220 == chain(ff,ii,33));
          CHECK (220 == pappl(   ii,33));

          // change original values to prove that references were
          // passed and stored properly in the adapted functors
          ii = 22;
          ff = 42;
          
          CHECK ( 97 == f1   (ff,ii,33));
          CHECK ( 97 == chain(ff,ii,33));
          CHECK ( 97 == pappl(   ii,33));
          
          // can even exchange the actual function, since f1 was passed as reference
          fun =  [](float& f, int& i, size_t s) -> double { return f - i - s; };
          
          CHECK (-13 == f1   (ff,ii,33));
          CHECK (-13 == chain(ff,ii,33));
          CHECK (-13 == pappl(   ii,33));
        }
    };
  
  
  /** Register this test class... */
  LAUNCHER (FunctionComposition_test, "unit common");
  
  
  
}}} // namespace lib::meta::test