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// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2003-22 Bradley M. Bell
// ----------------------------------------------------------------------------
/*
{xrst_begin check_numeric_type.cpp}
The CheckNumericType Function: Example and Test
###############################################
{xrst_literal
// BEGIN C++
// END C++
}
{xrst_end check_numeric_type.cpp}
*/
// BEGIN C++
# include <cppad/utility/check_numeric_type.hpp>
# include <cppad/utility/near_equal.hpp>
// Choosing a value between 1 and 10 selects a numeric class property to be
// omitted and result in an error message being generated
# define CppADMyTypeOmit 0
namespace { // Empty namespace
// -------------------------------------------------------------------
class MyType {
private:
double d;
public:
// constructor from void
MyType(void) : d(0.)
{ }
// constructor from an int
MyType(int d_) : d(d_)
{ }
// copy constructor
MyType(const MyType &x)
{ d = x.d; }
// assignment operator
void operator = (const MyType &x)
{ d = x.d; }
// member function that converts to double
double Double(void) const
{ return d; }
# if CppADMyTypeOmit != 1
// unary plus
MyType operator + (void) const
{ MyType x;
x.d = d;
return x;
}
# endif
# if CppADMyTypeOmit != 2
// unary plus
MyType operator - (void) const
{ MyType x;
x.d = - d;
return x;
}
# endif
# if CppADMyTypeOmit != 3
// binary addition
MyType operator + (const MyType &x) const
{ MyType y;
y.d = d + x.d ;
return y;
}
# endif
# if CppADMyTypeOmit != 4
// binary subtraction
MyType operator - (const MyType &x) const
{ MyType y;
y.d = d - x.d ;
return y;
}
# endif
# if CppADMyTypeOmit != 5
// binary multiplication
MyType operator * (const MyType &x) const
{ MyType y;
y.d = d * x.d ;
return y;
}
# endif
# if CppADMyTypeOmit != 6
// binary division
MyType operator / (const MyType &x) const
{ MyType y;
y.d = d / x.d ;
return y;
}
# endif
# if CppADMyTypeOmit != 7
// compound assignment addition
void operator += (const MyType &x)
{ d += x.d; }
# endif
# if CppADMyTypeOmit != 8
// compound assignment subtraction
void operator -= (const MyType &x)
{ d -= x.d; }
# endif
# if CppADMyTypeOmit != 9
// compound assignment multiplication
void operator *= (const MyType &x)
{ d *= x.d; }
# endif
# if CppADMyTypeOmit != 10
// compound assignment division
void operator /= (const MyType &x)
{ d /= x.d; }
# endif
};
// -------------------------------------------------------------------
/*
Solve: A[0] * x[0] + A[1] * x[1] = b[0]
A[2] * x[0] + A[3] * x[1] = b[1]
*/
template <class NumericType>
void Solve(NumericType *A, NumericType *x, NumericType *b)
{
// make sure NumericType satisfies its conditions
CppAD::CheckNumericType<NumericType>();
// copy b to x
x[0] = b[0];
x[1] = b[1];
// copy A to work space
NumericType W[4];
W[0] = A[0];
W[1] = A[1];
W[2] = A[2];
W[3] = A[3];
// divide first row by W(1,1)
W[1] /= W[0];
x[0] /= W[0];
W[0] = NumericType(1);
// subtract W(2,1) times first row from second row
W[3] -= W[2] * W[1];
x[1] -= W[2] * x[0];
W[2] = NumericType(0);
// divide second row by W(2, 2)
x[1] /= W[3];
W[3] = NumericType(1);
// use first row to solve for x[0]
x[0] -= W[1] * x[1];
}
} // End Empty namespace
bool CheckNumericType(void)
{ bool ok = true;
using CppAD::NearEqual;
double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
MyType A[4];
A[0] = MyType(1); A[1] = MyType(2);
A[2] = MyType(3); A[3] = MyType(4);
MyType b[2];
b[0] = MyType(1);
b[1] = MyType(2);
MyType x[2];
Solve(A, x, b);
MyType sum;
sum = A[0] * x[0] + A[1] * x[1];
ok &= NearEqual(sum.Double(), b[0].Double(), eps99, eps99);
sum = A[2] * x[0] + A[3] * x[1];
ok &= NearEqual(sum.Double(), b[1].Double(), eps99, eps99);
return ok;
}
// END C++
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