/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-17 Bradley M. Bell

CppAD is distributed under the terms of the
             Eclipse Public License Version 2.0.

This Source Code may also be made available under the following
Secondary License when the conditions for such availability set forth
in the Eclipse Public License, Version 2.0 are satisfied:
      GNU General Public License, Version 2.0 or later.
---------------------------------------------------------------------------- */

/*
Old CompareChange examples and tests, now just used for validation testing
*/

# include <cppad/cppad.hpp>

namespace {
    // ----------------------------------------------------------------------
    bool CompareChange_one(void)
    {   bool ok = true;

        using namespace CppAD;

        // ------------------------------- < ----------------------------

        // create independent variables
        CPPAD_TESTVECTOR(AD<double>) X(2);
        X[0] = 3.;
        X[1] = 4.;
        Independent(X);

        // create dependent variables
        CPPAD_TESTVECTOR(AD<double>) Y(6);

        // CondExp would never require retaping
        if( X[0] < X[1] )      // True variable < variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[1] < X[0] )      // False variable < variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 3.5  < X[1] )      // True parameter < variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 3.5  < X[0] )      // False parameter < variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] < 4.   )      // True variable < parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] < 4.   )      // False variable < parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        ADFun<double> *f;
        f = new ADFun<double>(X, Y);

        // new argument value
        CPPAD_TESTVECTOR(double) x( X.size() );
        x[0] = 4.;
        x[1] = 3.;

        // evaluate the function at new argument
        CPPAD_TESTVECTOR(double) y( Y.size() );
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[0]);           // this is what the was taped
        ok &= (y[1] == x[1]);
        ok &= (y[2] == x[0]);
        ok &= (y[3] == x[1]);
        ok &= (y[4] == x[0]);
        ok &= (y[5] == x[1]);
        ok &= (f->CompareChange() == 6); // all comparisions have changed

        // done with this function
        delete f;

        // ------------------------------- > ----------------------------
        // create independent variables
        Independent(X);

        if( X[0] > X[1] )      // False variable > variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[1] > X[0] )      // True variable > variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 3.5  > X[1] )      // False parameter > variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 3.5  > X[0] )      // True parameter > variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] > 3.   )      // False variable > parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] > 3.   )      // True variable > parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        f = new ADFun<double> (X, Y);

        // evaluate the function at new argument
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[1]);           // this is what the was taped
        ok &= (y[1] == x[0]);
        ok &= (y[2] == x[1]);
        ok &= (y[3] == x[0]);
        ok &= (y[4] == x[1]);
        ok &= (y[5] == x[0]);
        ok &= (f->CompareChange() == 6); // all comparisions have changed

        // done with this function
        delete f;

        // ------------------------------- <= ----------------------------
        // create independent variables
        Independent(X);

        if( X[0] <= X[1] )      // True variable <= variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[1] <= X[0] )      // False variable <= variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 4.  <= X[1] )       // True parameter <= variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 4.  <= X[0] )       // False parameter <= variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] <= 3.5   )     // True variable <= parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] <= 3.5  )      // False variable <= parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        f = new ADFun<double> (X, Y);

        // evaluate the function at new argument
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[0]);           // this is what the was taped
        ok &= (y[1] == x[1]);
        ok &= (y[2] == x[0]);
        ok &= (y[3] == x[1]);
        ok &= (y[4] == x[0]);
        ok &= (y[5] == x[1]);
        ok &= (f->CompareChange() == 6); // all comparisions have changed

        // done with this function
        delete f;


        // ------------------------------- >= ----------------------------
        // create independent variables
        Independent(X);

        if( X[0] >= X[1] )      // False variable >= variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[1] >= X[0] )      // True variable >= variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 3.5  >= X[1] )      // False parameter >= variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 3.5  >= X[0] )      // True parameter >= variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] >= 4.   )      // False variable >= parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] >= 4.   )      // True variable >= parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        f = new ADFun<double> (X, Y);

        // evaluate the function at new argument
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[1]);           // this is what the was taped
        ok &= (y[1] == x[0]);
        ok &= (y[2] == x[1]);
        ok &= (y[3] == x[0]);
        ok &= (y[4] == x[1]);
        ok &= (y[5] == x[0]);
        ok &= (f->CompareChange() == 6); // all comparisions have changed

        // done with this function
        delete f;

        // ------------------------------- == ----------------------------
        // create independent variables
        Independent(X);

        if( X[0] == X[1] )      // False variable == variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[0] == X[0] )      // True variable == variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 3.  == X[1] )       // False parameter == variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 3.  == X[0] )       // True parameter == variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] == 4.   )      // False variable == parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] == 4.   )      // True variable == parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        f = new ADFun<double> (X, Y);

        // evaluate the function at new argument
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[1]);           // this is what the was taped
        ok &= (y[1] == x[0]);
        ok &= (y[2] == x[1]);
        ok &= (y[3] == x[0]);
        ok &= (y[4] == x[1]);
        ok &= (y[5] == x[0]);
        // the first two comparisions do not change
        ok &= (f->CompareChange() == 4);

        // done with this function
        delete f;

        // ------------------------------- != ----------------------------
        // create independent variables
        Independent(X);

        if( X[0] != X[1] )      // True variable != variable
            Y[0] = X[0];
        else
            Y[0] = X[1];
        if( X[0] != X[0] )      // False variable != variable
            Y[1] = X[0];
        else
            Y[1] = X[1];
        if( 3.  != X[1] )       // True parameter != variable
            Y[2] = X[0];
        else
            Y[2] = X[1];
        if( 3.  != X[0] )       // False parameter != variable
            Y[3] = X[0];
        else
            Y[3] = X[1];
        if( X[0] != 4.   )      // True variable != parameter
            Y[4] = X[0];
        else
            Y[4] = X[1];
        if( X[1] != 4.   )      // False variable != parameter
            Y[5] = X[0];
        else
            Y[5] = X[1];

        // f : X -> Y
        f = new ADFun<double> (X, Y);

        // evaluate the function at new argument
        y = f->Forward(0, x);

        // check results
        ok &= (y[0] == x[0]);           // this is what the was taped
        ok &= (y[1] == x[1]);
        ok &= (y[2] == x[0]);
        ok &= (y[3] == x[1]);
        ok &= (y[4] == x[0]);
        ok &= (y[5] == x[1]);
        // the first two comparisions do not change
        ok &= (f->CompareChange() == 4);

        // done with this function
        delete f;

        return ok;
    }
    // ----------------------------------------------------------------------
    template <class Type>
    Type Minimum(const Type &x, const Type &y)
    {   // Use a comparision to compute the min(x, y)
        // (note that CondExp would never require retaping).
        if( x < y )
            return x;
        return y;
    }

    bool CompareChange_two(void)
    {   bool ok = true;

        using CppAD::AD;
        using CppAD::ADFun;
        using CppAD::Independent;

        // domain space vector
        size_t n = 2;
        CPPAD_TESTVECTOR(AD<double>) X(n);
        X[0] = 3.;
        X[1] = 4.;

        // declare independent variables and start tape recording
        CppAD::Independent(X);

        // range space vector
        size_t m = 1;
        CPPAD_TESTVECTOR(AD<double>) Y(m);
        Y[0] = Minimum(X[0], X[1]);

        // create f: x -> y and stop tape recording
        ADFun<double> f(X, Y);

        // evaluate zero mode Forward where conditional has the same result
        // note that f.CompareChange is not defined when NDEBUG is true
        CPPAD_TESTVECTOR(double) x(n);
        CPPAD_TESTVECTOR(double) y(m);
        x[0] = 3.5;
        x[1] = 4.;
        y    = f.Forward(0, x);
        ok  &= (y[0] == x[0]);
        ok  &= (y[0] == Minimum(x[0], x[1]));
        ok  &= (f.CompareChange() == 0);

        // evaluate zero mode Forward where conditional has different result
        x[0] = 4.;
        x[1] = 3.;
        y    = f.Forward(0, x);
        ok  &= (y[0] == x[0]);
        ok  &= (y[0] != Minimum(x[0], x[1]));
        ok  &= (f.CompareChange() == 1);

        // re-tape to obtain the new AD operation sequence
        X[0] = 4.;
        X[1] = 3.;
        Independent(X);
        Y[0] = Minimum(X[0], X[1]);

        // stop tape and store result in f
        f.Dependent(Y);

        // evaluate the function at new argument values
        y    = f.Forward(0, x);
        ok  &= (y[0] == x[1]);
        ok  &= (y[0] == Minimum(x[0], x[1]));
        ok  &= (f.CompareChange() == 0);

        return ok;
    }
}

bool compare_change(void)
{   bool ok  = true;
    ok &= CompareChange_one();
    ok &= CompareChange_two();
    return ok;
}

// END C++
