libcruft-util/rational.cpp

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/*
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* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
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*
* Copyright 2014 Danny Robson <danny@nerdcruft.net>
*/
#include "rational.hpp"
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#include "maths.hpp"
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#include <cstdint>
using util::rational;
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///////////////////////////////////////////////////////////////////////////////
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template <typename T>
rational<T>::rational (T _n, T _d):
n (_n),
d (_d)
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{
if (n < 0 && d < 0) {
n *= -1;
d *= -1;
}
}
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//-----------------------------------------------------------------------------
template <typename T>
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rational<T>::rational (T v):
n (v),
d (1)
{ ; }
///////////////////////////////////////////////////////////////////////////////
template <typename T>
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bool
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rational<T>::operator== (const rational<T> rhs) const
{
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return rhs.n == n && rhs.d == d;
}
//-----------------------------------------------------------------------------
template <typename T>
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bool
rational<T>::operator!= (const rational<T> rhs) const
{
return !operator== (rhs);
}
//-----------------------------------------------------------------------------
template <typename T>
bool
rational<T>::operator< (const rational<T> rhs) const
{
return n * rhs.d < rhs.n * d;
}
//-----------------------------------------------------------------------------
template <typename T>
bool
rational<T>::operator>= (const rational<T> rhs) const
{
return n * rhs.d >= rhs.n * d;
}
///////////////////////////////////////////////////////////////////////////////
template <typename T>
rational<T>::operator float (void) const
{
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return static_cast<float> (n) / d;
}
//-----------------------------------------------------------------------------
template <typename T>
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rational<T>::operator double (void) const
{
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return static_cast<double> (n) / d;
}
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///////////////////////////////////////////////////////////////////////////////
template <typename T>
rational<T>
rational<T>::reduced (void) const
{
auto x = gcd (abs (n), abs (d));
return { n / x, d / x };
}
///////////////////////////////////////////////////////////////////////////////
template <typename T>
rational<T>
rational<T>::inverse (void) const
{
return rational<T> { d, n };
}
//-----------------------------------------------------------------------------
template <typename T>
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rational<T>
rational<T>::operator+ (const T rhs) const
{
return { n + rhs * d, d };
}
//-----------------------------------------------------------------------------
template <typename T>
rational<T>
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rational<T>::operator- (const T rhs) const
{
return { n - rhs * d, d };
}
//-----------------------------------------------------------------------------
template <typename T>
rational<T>
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rational<T>::operator* (const T rhs) const
{
return { rhs * n, d };
}
//-----------------------------------------------------------------------------
template <typename T>
rational<T>
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rational<T>::operator/ (const T rhs) const
{
return { n, rhs * d };
}
//-----------------------------------------------------------------------------
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template <typename T>
rational<T>
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util::operator/ (T lhs, rational<T> rhs) {
return rhs.inverse () * lhs;
}
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//-----------------------------------------------------------------------------
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template struct util::rational<uint32_t>;
template struct util::rational< int32_t>;
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template util::rational<uint32_t> util::operator/ (uint32_t, util::rational<uint32_t>);