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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