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-///////////////////////////////////////////////////////////////////////////////////
-/// OpenGL Mathematics (glm.g-truc.net)
-///
-/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
-/// Permission is hereby granted, free of charge, to any person obtaining a copy
-/// of this software and associated documentation files (the "Software"), to deal
-/// in the Software without restriction, including without limitation the rights
-/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-/// copies of the Software, and to permit persons to whom the Software is
-/// furnished to do so, subject to the following conditions:
-///
-/// The above copyright notice and this permission notice shall be included in
-/// all copies or substantial portions of the Software.
-///
-/// Restrictions:
-/// By making use of the Software for military purposes, you choose to make
-/// a Bunny unhappy.
-///
-/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-/// THE SOFTWARE.
-///
-/// @ref gtc_round
-/// @file glm/gtc/round.inl
-/// @date 2014-11-03 / 2014-11-03
-/// @author Christophe Riccio
-///////////////////////////////////////////////////////////////////////////////////
-
-namespace glm
-{
-namespace detail
-{
- template <typename T, precision P, template <typename, precision> class vecType, bool compute = false>
- struct compute_ceilShift
- {
- GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T)
- {
- return v;
- }
- };
-
- template <typename T, precision P, template <typename, precision> class vecType>
- struct compute_ceilShift<T, P, vecType, true>
- {
- GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Shift)
- {
- return v | (v >> Shift);
- }
- };
-
- template <typename T, precision P, template <typename, precision> class vecType, bool isSigned = true>
- struct compute_ceilPowerOfTwo
- {
- GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x)
- {
- GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs");
-
- vecType<T, P> const Sign(sign(x));
-
- vecType<T, P> v(abs(x));
-
- v = v - static_cast<T>(1);
- v = v | (v >> static_cast<T>(1));
- v = v | (v >> static_cast<T>(2));
- v = v | (v >> static_cast<T>(4));
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 2>::call(v, 8);
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 4>::call(v, 16);
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 8>::call(v, 32);
- return (v + static_cast<T>(1)) * Sign;
- }
- };
-
- template <typename T, precision P, template <typename, precision> class vecType>
- struct compute_ceilPowerOfTwo<T, P, vecType, false>
- {
- GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x)
- {
- GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs");
-
- vecType<T, P> v(x);
-
- v = v - static_cast<T>(1);
- v = v | (v >> static_cast<T>(1));
- v = v | (v >> static_cast<T>(2));
- v = v | (v >> static_cast<T>(4));
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 2>::call(v, 8);
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 4>::call(v, 16);
- v = compute_ceilShift<T, P, vecType, sizeof(T) >= 8>::call(v, 32);
- return v + static_cast<T>(1);
- }
- };
-
- template <bool is_float, bool is_signed>
- struct compute_ceilMultiple{};
-
- template <>
- struct compute_ceilMultiple<true, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source > genType(0))
- {
- genType Tmp = Source - genType(1);
- return Tmp + (Multiple - std::fmod(Tmp, Multiple));
- }
- else
- return Source + std::fmod(-Source, Multiple);
- }
- };
-
- template <>
- struct compute_ceilMultiple<false, false>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- genType Tmp = Source - genType(1);
- return Tmp + (Multiple - (Tmp % Multiple));
- }
- };
-
- template <>
- struct compute_ceilMultiple<false, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source > genType(0))
- {
- genType Tmp = Source - genType(1);
- return Tmp + (Multiple - (Tmp % Multiple));
- }
- else
- return Source + (-Source % Multiple);
- }
- };
-
- template <bool is_float, bool is_signed>
- struct compute_floorMultiple{};
-
- template <>
- struct compute_floorMultiple<true, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - std::fmod(Source, Multiple);
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - std::fmod(Tmp, Multiple) - Multiple;
- }
- }
- };
-
- template <>
- struct compute_floorMultiple<false, false>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - Source % Multiple;
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - Tmp % Multiple - Multiple;
- }
- }
- };
-
- template <>
- struct compute_floorMultiple<false, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - Source % Multiple;
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - Tmp % Multiple - Multiple;
- }
- }
- };
-
- template <bool is_float, bool is_signed>
- struct compute_roundMultiple{};
-
- template <>
- struct compute_roundMultiple<true, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - std::fmod(Source, Multiple);
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - std::fmod(Tmp, Multiple) - Multiple;
- }
- }
- };
-
- template <>
- struct compute_roundMultiple<false, false>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - Source % Multiple;
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - Tmp % Multiple - Multiple;
- }
- }
- };
-
- template <>
- struct compute_roundMultiple<false, true>
- {
- template <typename genType>
- GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
- {
- if(Source >= genType(0))
- return Source - Source % Multiple;
- else
- {
- genType Tmp = Source + genType(1);
- return Tmp - Tmp % Multiple - Multiple;
- }
- }
- };
-}//namespace detail
-
- ////////////////
- // isPowerOfTwo
-
- template <typename genType>
- GLM_FUNC_QUALIFIER bool isPowerOfTwo(genType Value)
- {
- genType const Result = glm::abs(Value);
- return !(Result & (Result - 1));
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<bool, P> isPowerOfTwo(vecType<T, P> const & Value)
- {
- vecType<T, P> const Result(abs(Value));
- return equal(Result & (Result - 1), vecType<T, P>(0));
- }
-
- //////////////////
- // ceilPowerOfTwo
-
- template <typename genType>
- GLM_FUNC_QUALIFIER genType ceilPowerOfTwo(genType value)
- {
- return detail::compute_ceilPowerOfTwo<genType, defaultp, tvec1, std::numeric_limits<genType>::is_signed>::call(tvec1<genType, defaultp>(value)).x;
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> ceilPowerOfTwo(vecType<T, P> const & v)
- {
- return detail::compute_ceilPowerOfTwo<T, P, vecType, std::numeric_limits<T>::is_signed>::call(v);
- }
-
- ///////////////////
- // floorPowerOfTwo
-
- template <typename genType>
- GLM_FUNC_QUALIFIER genType floorPowerOfTwo(genType value)
- {
- return isPowerOfTwo(value) ? value : highestBitValue(value);
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> floorPowerOfTwo(vecType<T, P> const & v)
- {
- return detail::functor1<T, T, P, vecType>::call(floorPowerOfTwo, v);
- }
-
- ///////////////////
- // roundPowerOfTwo
-
- template <typename genIUType>
- GLM_FUNC_QUALIFIER genIUType roundPowerOfTwo(genIUType value)
- {
- if(isPowerOfTwo(value))
- return value;
-
- genIUType const prev = highestBitValue(value);
- genIUType const next = prev << 1;
- return (next - value) < (value - prev) ? next : prev;
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> roundPowerOfTwo(vecType<T, P> const & v)
- {
- return detail::functor1<T, T, P, vecType>::call(roundPowerOfTwo, v);
- }
-
- ////////////////
- // isMultiple
-
- template <typename genType>
- GLM_FUNC_QUALIFIER bool isMultiple(genType Value, genType Multiple)
- {
- return isMultiple(tvec1<genType>(Value), tvec1<genType>(Multiple)).x;
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<bool, P> isMultiple(vecType<T, P> const & Value, T Multiple)
- {
- return (Value % Multiple) == vecType<T, P>(0);
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<bool, P> isMultiple(vecType<T, P> const & Value, vecType<T, P> const & Multiple)
- {
- return (Value % Multiple) == vecType<T, P>(0);
- }
-
- //////////////////////
- // ceilMultiple
-
- template <typename genType>
- GLM_FUNC_QUALIFIER genType ceilMultiple(genType Source, genType Multiple)
- {
- return detail::compute_ceilMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> ceilMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
- {
- return detail::functor2<T, P, vecType>::call(ceilMultiple, Source, Multiple);
- }
-
- //////////////////////
- // floorMultiple
-
- template <typename genType>
- GLM_FUNC_QUALIFIER genType floorMultiple(genType Source, genType Multiple)
- {
- return detail::compute_floorMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> floorMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
- {
- return detail::functor2<T, P, vecType>::call(floorMultiple, Source, Multiple);
- }
-
- //////////////////////
- // roundMultiple
-
- template <typename genType>
- GLM_FUNC_QUALIFIER genType roundMultiple(genType Source, genType Multiple)
- {
- return detail::compute_roundMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
- }
-
- template <typename T, precision P, template <typename, precision> class vecType>
- GLM_FUNC_QUALIFIER vecType<T, P> roundMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
- {
- return detail::functor2<T, P, vecType>::call(roundMultiple, Source, Multiple);
- }
-}//namespace glm
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