libcruft-util/maths.cpp

137 lines
3.6 KiB
C++

/*
* 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.
*
* Copyright 2010-2014 Danny Robson <danny@nerdcruft.net>
*/
#include "maths.hpp"
#include "debug.hpp"
#include "float.hpp"
#include <cmath>
#include <type_traits>
///////////////////////////////////////////////////////////////////////////////
template <typename T>
T
util::log2up (T v)
{
return log2 ((v << 1) - 1);
}
template uint32_t util::log2up (uint32_t);
template uint64_t util::log2up (uint64_t);
///////////////////////////////////////////////////////////////////////////////
template <typename T>
T
util::log2 (T v)
{
static_assert (std::is_integral<T>::value,
"log2 is only implemented for integers");
T l = 0;
while (v >>= 1)
++l;
return l;
}
template uint8_t util::log2 (uint8_t);
template uint16_t util::log2 (uint16_t);
template uint32_t util::log2 (uint32_t);
template uint64_t util::log2 (uint64_t);
///////////////////////////////////////////////////////////////////////////////
template <typename T>
bool
util::is_integer (const T &value)
{
T integer;
return exactly_equal (std::modf (value, &integer),
static_cast<T> (0.0));
}
//-----------------------------------------------------------------------------
template bool util::is_integer (const double&);
template bool util::is_integer (const float&);
///////////////////////////////////////////////////////////////////////////////
namespace util {
template <>
unsigned
digits (const uint32_t &v)
{
return (v >= 1000000000) ? 10 :
(v >= 100000000) ? 9 :
(v >= 10000000) ? 8 :
(v >= 1000000) ? 7 :
(v >= 100000) ? 6 :
(v >= 10000) ? 5 :
(v >= 1000) ? 4 :
(v >= 100) ? 3 :
(v >= 10) ? 2 :
1;
}
}
///////////////////////////////////////////////////////////////////////////////
template <typename T>
std::enable_if_t<
std::is_integral<T>::value, T
>
util::round_pow2 (T value)
{
using return_type = std::enable_if_t<std::is_integral<T>::value, T>;
--value;
for (unsigned i = 1; i < sizeof (T) * 8; i <<= 1) {
value |= value >> i;
}
++value;
return (return_type)value;
}
//-----------------------------------------------------------------------------
template uint8_t util::round_pow2 (uint8_t);
template uint16_t util::round_pow2 (uint16_t);
template uint32_t util::round_pow2 (uint32_t);
template uint64_t util::round_pow2 (uint64_t);
///////////////////////////////////////////////////////////////////////////////
template const float util::PI<float>;
template const double util::PI<double>;
///////////////////////////////////////////////////////////////////////////////
// Simple instantiations. Some functions aren't used internally to the library
// so it's easier to instantiate early and check for broken code at library
// build time.
template float util::limit (float, float, float);
template float util::smoothstep (float, float, float);
template double util::smoothstep (double, double, double);