161 lines
4.1 KiB
C++
161 lines
4.1 KiB
C++
/*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* 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
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* Copyright 2010-2014 Danny Robson <danny@nerdcruft.net>
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*/
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#include "maths.hpp"
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#include "debug.hpp"
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#include "float.hpp"
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#include <cmath>
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#include <type_traits>
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//-----------------------------------------------------------------------------
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template <typename T>
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bool
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is_pow2 (T value) {
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typedef typename std::enable_if<std::is_integral<T>::value, bool>::type return_type;
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return (return_type)(value && !(value & (value - 1)));
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}
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template bool is_pow2 (uint8_t);
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template bool is_pow2 (uint16_t);
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template bool is_pow2 (uint32_t);
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template bool is_pow2 (uint64_t);
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//-----------------------------------------------------------------------------
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template <typename T>
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T
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log2up (T v)
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{
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return log2 ((v << 1) - 1);
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}
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template uint32_t log2up (uint32_t);
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template uint64_t log2up (uint64_t);
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//-----------------------------------------------------------------------------
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template <typename T>
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T
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log2 (T v) {
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static_assert (std::is_integral<T>::value,
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"log2 is only implemented for integers");
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T l = 0;
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while (v >>= 1)
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++l;
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return l;
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}
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template uint8_t log2 (uint8_t);
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template uint16_t log2 (uint16_t);
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template uint32_t log2 (uint32_t);
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template uint64_t log2 (uint64_t);
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//-----------------------------------------------------------------------------
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template <typename T>
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double
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rootsquare (T a, T b)
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{ return sqrt (pow2 (a) + pow2 (b)); }
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template double rootsquare (double, double);
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template double rootsquare ( int, int);
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//-----------------------------------------------------------------------------
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template <typename T>
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bool
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is_integer (const T &value) {
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T integer;
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return exactly_equal (std::modf (value, &integer),
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static_cast<T> (0.0));
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}
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template bool is_integer (const double&);
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template bool is_integer (const float&);
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//-----------------------------------------------------------------------------
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template <>
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unsigned
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digits (const uint32_t &v) {
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return (v >= 1000000000) ? 10 :
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(v >= 100000000) ? 9 :
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(v >= 10000000) ? 8 :
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(v >= 1000000) ? 7 :
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(v >= 100000) ? 6 :
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(v >= 10000) ? 5 :
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(v >= 1000) ? 4 :
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(v >= 100) ? 3 :
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(v >= 10) ? 2 :
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1;
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}
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//-----------------------------------------------------------------------------
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template <>
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bool
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almost_equal (const float &a, const float &b)
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{ return ieee_single::almost_equal (a, b); }
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template <>
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bool
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almost_equal (const double &a, const double &b)
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{ return ieee_double::almost_equal (a, b); }
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//-----------------------------------------------------------------------------
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template <typename T>
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T
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round_pow2 (T value) {
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typedef typename std::enable_if<std::is_integral<T>::value, T>::type return_type;
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--value;
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for (unsigned i = 1; i < sizeof (T) * 8; i <<= 1) {
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value |= value >> i;
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}
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++value;
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return (return_type)value;
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}
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template uint8_t round_pow2 (uint8_t);
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template uint16_t round_pow2 (uint16_t);
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template uint32_t round_pow2 (uint32_t);
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template uint64_t round_pow2 (uint64_t);
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//-----------------------------------------------------------------------------
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// Simple instantiations. Some functions aren't used internally to the library
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// so it's easier to instantiate early and check for broken code at library
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// build time.
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template float limit (float, float, float);
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template float smoothstep (float, float, float);
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template double smoothstep (double, double, double);
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