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/*-------------------------------------------------------------------------
* drawElements Quality Program Tester Core
* ----------------------------------------
*
* Copyright 2014 The Android Open Source Project
*
* 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
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* 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.
*
*//*!
* \file
* \brief Interval arithmetic.
*//*--------------------------------------------------------------------*/
#include "tcuInterval.hpp"
#include "deMath.h"
#include <cmath>
namespace tcu
{
using std::ldexp;
Interval applyMonotone (DoubleFunc1& func, const Interval& arg0)
{
Interval ret;
TCU_INTERVAL_APPLY_MONOTONE1(ret, x, arg0, val,
TCU_SET_INTERVAL(val, point, point = func(x)));
return ret;
}
Interval applyMonotone (DoubleIntervalFunc1& func, const Interval& arg0)
{
return Interval(func(arg0.lo()), func(arg0.hi()));
}
Interval applyMonotone (DoubleFunc2& func, const Interval& arg0, const Interval& arg1)
{
Interval ret;
TCU_INTERVAL_APPLY_MONOTONE2(ret, x, arg0, y, arg1, val,
TCU_SET_INTERVAL(val, point, point = func(x, y)));
return ret;
}
Interval applyMonotone (DoubleIntervalFunc2& func, const Interval& arg0, const Interval& arg1)
{
double lo0 = arg0.lo(), hi0 = arg0.hi(), lo1 = arg1.lo(), hi1 = arg1.hi();
return Interval(Interval(func(lo0, lo1), func(lo0, hi1)),
Interval(func(hi0, lo1), func(hi0, hi1)));
}
Interval operator+ (const Interval& x, const Interval& y)
{
Interval ret;
if (!x.empty() && !y.empty())
TCU_SET_INTERVAL_BOUNDS(ret, p, p = x.lo() + y.lo(), p = x.hi() + y.hi());
if (x.hasNaN() || y.hasNaN())
ret |= TCU_NAN;
return ret;
}
Interval operator- (const Interval& x, const Interval& y)
{
Interval ret;
TCU_INTERVAL_APPLY_MONOTONE2(ret, xp, x, yp, y, val,
TCU_SET_INTERVAL(val, point, point = xp - yp));
return ret;
}
Interval operator* (const Interval& x, const Interval& y)
{
Interval ret;
TCU_INTERVAL_APPLY_MONOTONE2(ret, xp, x, yp, y, val,
TCU_SET_INTERVAL(val, point, point = xp * yp));
return ret;
}
Interval operator/ (const Interval& nom, const Interval& den)
{
if (den.contains(0.0))
{
// \todo [2014-03-21 lauri] Non-inf endpoint when one den endpoint is
// zero and nom doesn't cross zero?
return Interval::unbounded();
}
else
{
Interval ret;
TCU_INTERVAL_APPLY_MONOTONE2(ret, nomp, nom, denp, den, val,
TCU_SET_INTERVAL(val, point, point = nomp / denp));
return ret;
}
}
static double negate (double x)
{
return -x;
}
Interval operator- (const Interval& x)
{
return applyMonotone(negate, x);
}
Interval exp2 (const Interval& x)
{
return applyMonotone(std::pow, 2.0, x);
}
Interval exp (const Interval& x)
{
return applyMonotone(std::exp, x);
}
Interval sqrt (const Interval& x)
{
return applyMonotone(std::sqrt, x);
}
Interval inverseSqrt (const Interval& x)
{
return 1.0 / sqrt(x);
}
Interval abs (const Interval& x)
{
const Interval mono = applyMonotone(std::abs, x);
if (x.contains(0.0))
return Interval(0.0, mono);
return mono;
}
std::ostream& operator<< (std::ostream& os, const Interval& interval)
{
if (interval.empty())
if (interval.hasNaN())
os << "[NaN]";
else
os << "()";
else
os << (interval.hasNaN() ? "~" : "")
<< "[" << interval.lo() << ", " << interval.hi() << "]";
return os;
}
} // tcu