1037 lines
26 KiB
Plaintext
1037 lines
26 KiB
Plaintext
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///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref core
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/// @file glm/core/func_common.inl
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/// @date 2008-08-03 / 2011-06-15
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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#include "func_vector_relational.hpp"
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#include "type_vec2.hpp"
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#include "type_vec3.hpp"
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#include "type_vec4.hpp"
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#include "_vectorize.hpp"
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#include <limits>
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namespace glm{
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namespace detail
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{
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template <typename genFIType, bool /*signed*/>
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struct compute_abs
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{};
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template <typename genFIType>
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struct compute_abs<genFIType, true>
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{
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GLM_FUNC_QUALIFIER static genFIType call(genFIType const & x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genFIType>::is_iec559 || std::numeric_limits<genFIType>::is_signed,
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"'abs' only accept floating-point and integer scalar or vector inputs");
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return x >= genFIType(0) ? x : -x;
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// TODO, perf comp with: *(((int *) &x) + 1) &= 0x7fffffff;
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}
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};
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template <typename genFIType>
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struct compute_abs<genFIType, false>
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{
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GLM_FUNC_QUALIFIER static genFIType call(genFIType const & x)
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{
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GLM_STATIC_ASSERT(
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!std::numeric_limits<genFIType>::is_signed && std::numeric_limits<genFIType>::is_integer,
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"'abs' only accept floating-point and integer scalar or vector inputs");
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return x;
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}
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};
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template <typename T, typename U, precision P, template <class, precision> class vecType>
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struct compute_mix_vector
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, vecType<U, P> const & a)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a");
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return vecType<T, P>(vecType<U, P>(x) + a * vecType<U, P>(y - x));
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}
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};
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template <typename T, precision P, template <class, precision> class vecType>
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struct compute_mix_vector<T, bool, P, vecType>
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, vecType<bool, P> const & a)
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{
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vecType<T, P> Result;
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for(length_t i = 0; i < x.length(); ++i)
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Result[i] = a[i] ? y[i] : x[i];
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return Result;
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}
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};
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template <typename T, typename U, precision P, template <class, precision> class vecType>
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struct compute_mix_scalar
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, U const & a)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a");
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return vecType<T, P>(vecType<U, P>(x) + a * vecType<U, P>(y - x));
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}
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};
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template <typename T, precision P, template <class, precision> class vecType>
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struct compute_mix_scalar<T, bool, P, vecType>
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, vecType<T, P> const & y, bool const & a)
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{
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return a ? y : x;
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}
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};
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template <typename T, typename U>
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struct compute_mix
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{
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GLM_FUNC_QUALIFIER static T call(T const & x, T const & y, U const & a)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<U>::is_iec559, "'mix' only accept floating-point inputs for the interpolator a");
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return static_cast<T>(static_cast<U>(x) + a * static_cast<U>(y - x));
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}
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};
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template <typename T>
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struct compute_mix<T, bool>
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{
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GLM_FUNC_QUALIFIER static T call(T const & x, T const & y, bool const & a)
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{
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return a ? y : x;
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}
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};
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}//namespace detail
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// abs
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template <typename genFIType>
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GLM_FUNC_QUALIFIER genFIType abs
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(
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genFIType const & x
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)
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{
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return detail::compute_abs<genFIType, std::numeric_limits<genFIType>::is_signed>::call(x);
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}
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VECTORIZE_VEC(abs)
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// sign
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//Try something like based on x >> 31 to get the sign bit
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template <typename genFIType>
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GLM_FUNC_QUALIFIER genFIType sign
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(
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genFIType const & x
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)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genFIType>::is_iec559 ||
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(std::numeric_limits<genFIType>::is_signed && std::numeric_limits<genFIType>::is_integer), "'sign' only accept signed inputs");
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genFIType result;
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if(x > genFIType(0))
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result = genFIType(1);
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else if(x < genFIType(0))
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result = genFIType(-1);
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else
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result = genFIType(0);
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return result;
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}
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VECTORIZE_VEC(sign)
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// floor
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template <typename genType>
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GLM_FUNC_QUALIFIER genType floor(genType const & x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'floor' only accept floating-point inputs");
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return ::std::floor(x);
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}
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VECTORIZE_VEC(floor)
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// trunc
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template <typename genType>
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GLM_FUNC_QUALIFIER genType trunc(genType const & x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'trunc' only accept floating-point inputs");
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// TODO, add C++11 std::trunk
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return x < 0 ? -floor(-x) : floor(x);
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}
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VECTORIZE_VEC(trunc)
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// round
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template <typename genType>
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GLM_FUNC_QUALIFIER genType round(genType const& x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'round' only accept floating-point inputs");
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// TODO, add C++11 std::round
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return x < 0 ? genType(int(x - genType(0.5))) : genType(int(x + genType(0.5)));
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}
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VECTORIZE_VEC(round)
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/*
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// roundEven
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template <typename genType>
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GLM_FUNC_QUALIFIER genType roundEven(genType const& x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'roundEven' only accept floating-point inputs");
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return genType(int(x + genType(int(x) % 2)));
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}
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*/
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// roundEven
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template <typename genType>
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GLM_FUNC_QUALIFIER genType roundEven(genType const & x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'roundEven' only accept floating-point inputs");
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int Integer = static_cast<int>(x);
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genType IntegerPart = static_cast<genType>(Integer);
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genType FractionalPart = fract(x);
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if(FractionalPart > static_cast<genType>(0.5) || FractionalPart < static_cast<genType>(0.5))
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{
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return round(x);
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}
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else if((Integer % 2) == 0)
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{
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return IntegerPart;
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}
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else if(x <= static_cast<genType>(0)) // Work around...
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{
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return IntegerPart - static_cast<genType>(1);
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}
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else
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{
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return IntegerPart + static_cast<genType>(1);
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}
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//else // Bug on MinGW 4.5.2
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//{
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// return mix(IntegerPart + genType(-1), IntegerPart + genType(1), x <= genType(0));
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//}
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}
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VECTORIZE_VEC(roundEven)
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// ceil
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template <typename genType>
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GLM_FUNC_QUALIFIER genType ceil(genType const & x)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'ceil' only accept floating-point inputs");
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return ::std::ceil(x);
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}
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VECTORIZE_VEC(ceil)
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// fract
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template <typename genType>
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GLM_FUNC_QUALIFIER genType fract
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'fract' only accept floating-point inputs");
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return x - floor(x);
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}
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VECTORIZE_VEC(fract)
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// mod
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template <typename genType>
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GLM_FUNC_QUALIFIER genType mod
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(
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genType const & x,
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genType const & y
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)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'mod' only accept floating-point inputs");
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return x - y * floor(x / y);
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}
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VECTORIZE_VEC_SCA(mod)
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VECTORIZE_VEC_VEC(mod)
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// modf
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template <typename genType>
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GLM_FUNC_QUALIFIER genType modf
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(
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genType const & x,
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genType & i
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)
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{
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GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559,
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"'modf' only accept floating-point inputs");
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return std::modf(x, &i);
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> modf
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(
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detail::tvec2<T, P> const & x,
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detail::tvec2<T, P> & i
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)
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{
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return detail::tvec2<T, P>(
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modf(x.x, i.x),
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modf(x.y, i.y));
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> modf
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(
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detail::tvec3<T, P> const & x,
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detail::tvec3<T, P> & i
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)
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{
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return detail::tvec3<T, P>(
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modf(x.x, i.x),
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modf(x.y, i.y),
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modf(x.z, i.z));
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}
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> modf
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(
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detail::tvec4<T, P> const & x,
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detail::tvec4<T, P> & i
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)
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{
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return detail::tvec4<T, P>(
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modf(x.x, i.x),
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modf(x.y, i.y),
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modf(x.z, i.z),
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modf(x.w, i.w));
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}
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//// Only valid if (INT_MIN <= x-y <= INT_MAX)
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//// min(x,y)
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//r = y + ((x - y) & ((x - y) >> (sizeof(int) *
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//CHAR_BIT - 1)));
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//// max(x,y)
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//r = x - ((x - y) & ((x - y) >> (sizeof(int) *
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//CHAR_BIT - 1)));
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|
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// min
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template <typename genType>
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GLM_FUNC_QUALIFIER genType min
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(
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genType const & x,
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|
genType const & y
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|
)
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|
{
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|
GLM_STATIC_ASSERT(
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|
std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer,
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|
"'min' only accept floating-point or integer inputs");
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|
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return x < y ? x : y;
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|
}
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|
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VECTORIZE_VEC_SCA(min)
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VECTORIZE_VEC_VEC(min)
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|
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// max
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template <typename genType>
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|
GLM_FUNC_QUALIFIER genType max
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|
(
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|
genType const & x,
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|
genType const & y
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||
|
)
|
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|
{
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|
GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer,
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|
"'max' only accept floating-point or integer inputs");
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|
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return x > y ? x : y;
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|
}
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|
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VECTORIZE_VEC_SCA(max)
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|
VECTORIZE_VEC_VEC(max)
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|
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|
// clamp
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||
|
template <typename genType>
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||
|
GLM_FUNC_QUALIFIER genType clamp
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||
|
(
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|
genType const & x,
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||
|
genType const & minVal,
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||
|
genType const & maxVal
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||
|
)
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||
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{
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|
GLM_STATIC_ASSERT(
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std::numeric_limits<genType>::is_iec559 || std::numeric_limits<genType>::is_integer,
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|
"'clamp' only accept floating-point or integer inputs");
|
||
|
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return min(maxVal, max(minVal, x));
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|
}
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|
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|
template <typename T, precision P>
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|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> clamp
|
||
|
(
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||
|
detail::tvec2<T, P> const & x,
|
||
|
T const & minVal,
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||
|
T const & maxVal
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||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
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||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
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||
|
return detail::tvec2<T, P>(
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||
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clamp(x.x, minVal, maxVal),
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||
|
clamp(x.y, minVal, maxVal));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> clamp
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x,
|
||
|
T const & minVal,
|
||
|
T const & maxVal
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
clamp(x.x, minVal, maxVal),
|
||
|
clamp(x.y, minVal, maxVal),
|
||
|
clamp(x.z, minVal, maxVal));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> clamp
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x,
|
||
|
T const & minVal,
|
||
|
T const & maxVal
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
clamp(x.x, minVal, maxVal),
|
||
|
clamp(x.y, minVal, maxVal),
|
||
|
clamp(x.z, minVal, maxVal),
|
||
|
clamp(x.w, minVal, maxVal));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> clamp
|
||
|
(
|
||
|
detail::tvec2<T, P> const & x,
|
||
|
detail::tvec2<T, P> const & minVal,
|
||
|
detail::tvec2<T, P> const & maxVal
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
|
||
|
return detail::tvec2<T, P>(
|
||
|
clamp(x.x, minVal.x, maxVal.x),
|
||
|
clamp(x.y, minVal.y, maxVal.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> clamp
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x,
|
||
|
detail::tvec3<T, P> const & minVal,
|
||
|
detail::tvec3<T, P> const & maxVal
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
clamp(x.x, minVal.x, maxVal.x),
|
||
|
clamp(x.y, minVal.y, maxVal.y),
|
||
|
clamp(x.z, minVal.z, maxVal.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> clamp
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x,
|
||
|
detail::tvec4<T, P> const & minVal,
|
||
|
detail::tvec4<T, P> const & maxVal
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559 || std::numeric_limits<T>::is_integer,
|
||
|
"'clamp' only accept floating-point or integer inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
clamp(x.x, minVal.x, maxVal.x),
|
||
|
clamp(x.y, minVal.y, maxVal.y),
|
||
|
clamp(x.z, minVal.z, maxVal.z),
|
||
|
clamp(x.w, minVal.w, maxVal.w));
|
||
|
}
|
||
|
|
||
|
template <typename T, typename U, precision P, template <typename, precision> class vecType>
|
||
|
GLM_FUNC_QUALIFIER vecType<T, P> mix
|
||
|
(
|
||
|
vecType<T, P> const & x,
|
||
|
vecType<T, P> const & y,
|
||
|
vecType<U, P> const & a
|
||
|
)
|
||
|
{
|
||
|
return detail::compute_mix_vector<T, U, P, vecType>::call(x, y, a);
|
||
|
}
|
||
|
|
||
|
template <typename T, typename U, precision P, template <typename, precision> class vecType>
|
||
|
GLM_FUNC_QUALIFIER vecType<T, P> mix
|
||
|
(
|
||
|
vecType<T, P> const & x,
|
||
|
vecType<T, P> const & y,
|
||
|
U const & a
|
||
|
)
|
||
|
{
|
||
|
return detail::compute_mix_scalar<T, U, P, vecType>::call(x, y, a);
|
||
|
}
|
||
|
|
||
|
template <typename genTypeT, typename genTypeU>
|
||
|
GLM_FUNC_QUALIFIER genTypeT mix
|
||
|
(
|
||
|
genTypeT const & x,
|
||
|
genTypeT const & y,
|
||
|
genTypeU const & a
|
||
|
)
|
||
|
{
|
||
|
return detail::compute_mix<genTypeT, genTypeU>::call(x, y, a);
|
||
|
}
|
||
|
|
||
|
// step
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER genType step
|
||
|
(
|
||
|
genType const & edge,
|
||
|
genType const & x
|
||
|
)
|
||
|
{
|
||
|
return mix(genType(1), genType(0), glm::lessThan(x, edge));
|
||
|
}
|
||
|
|
||
|
template <template <typename, precision> class vecType, typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER vecType<T, P> step
|
||
|
(
|
||
|
T const & edge,
|
||
|
vecType<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'step' only accept floating-point inputs");
|
||
|
|
||
|
return mix(vecType<T, P>(1), vecType<T, P>(0), glm::lessThan(x, vecType<T, P>(edge)));
|
||
|
}
|
||
|
|
||
|
// smoothstep
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER genType smoothstep
|
||
|
(
|
||
|
genType const & edge0,
|
||
|
genType const & edge1,
|
||
|
genType const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<genType>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
genType tmp = clamp((x - edge0) / (edge1 - edge0), genType(0), genType(1));
|
||
|
return tmp * tmp * (genType(3) - genType(2) * tmp);
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> smoothstep
|
||
|
(
|
||
|
T const & edge0,
|
||
|
T const & edge1,
|
||
|
detail::tvec2<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec2<T, P>(
|
||
|
smoothstep(edge0, edge1, x.x),
|
||
|
smoothstep(edge0, edge1, x.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> smoothstep
|
||
|
(
|
||
|
T const & edge0,
|
||
|
T const & edge1,
|
||
|
detail::tvec3<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
smoothstep(edge0, edge1, x.x),
|
||
|
smoothstep(edge0, edge1, x.y),
|
||
|
smoothstep(edge0, edge1, x.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> smoothstep
|
||
|
(
|
||
|
T const & edge0,
|
||
|
T const & edge1,
|
||
|
detail::tvec4<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
smoothstep(edge0, edge1, x.x),
|
||
|
smoothstep(edge0, edge1, x.y),
|
||
|
smoothstep(edge0, edge1, x.z),
|
||
|
smoothstep(edge0, edge1, x.w));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> smoothstep
|
||
|
(
|
||
|
detail::tvec2<T, P> const & edge0,
|
||
|
detail::tvec2<T, P> const & edge1,
|
||
|
detail::tvec2<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec2<T, P>(
|
||
|
smoothstep(edge0.x, edge1.x, x.x),
|
||
|
smoothstep(edge0.y, edge1.y, x.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> smoothstep
|
||
|
(
|
||
|
detail::tvec3<T, P> const & edge0,
|
||
|
detail::tvec3<T, P> const & edge1,
|
||
|
detail::tvec3<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
smoothstep(edge0.x, edge1.x, x.x),
|
||
|
smoothstep(edge0.y, edge1.y, x.y),
|
||
|
smoothstep(edge0.z, edge1.z, x.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> smoothstep
|
||
|
(
|
||
|
detail::tvec4<T, P> const & edge0,
|
||
|
detail::tvec4<T, P> const & edge1,
|
||
|
detail::tvec4<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'smoothstep' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
smoothstep(edge0.x, edge1.x, x.x),
|
||
|
smoothstep(edge0.y, edge1.y, x.y),
|
||
|
smoothstep(edge0.z, edge1.z, x.z),
|
||
|
smoothstep(edge0.w, edge1.w, x.w));
|
||
|
}
|
||
|
|
||
|
// TODO: Not working on MinGW...
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER bool isnan(genType const & x)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<genType>::is_iec559,
|
||
|
"'isnan' only accept floating-point inputs");
|
||
|
|
||
|
# if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_INTEL))
|
||
|
return _isnan(x) != 0;
|
||
|
# elif(GLM_COMPILER & (GLM_COMPILER_GCC | GLM_COMPILER_CLANG))
|
||
|
# if(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
|
||
|
return _isnan(x) != 0;
|
||
|
# else
|
||
|
return std::isnan(x);
|
||
|
# endif
|
||
|
# elif(GLM_COMPILER & GLM_COMPILER_CUDA)
|
||
|
return isnan(x) != 0;
|
||
|
# else
|
||
|
return std::isnan(x);
|
||
|
# endif
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::bool_type isnan
|
||
|
(
|
||
|
detail::tvec2<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isnan' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec2<T, P>::bool_type(
|
||
|
isnan(x.x),
|
||
|
isnan(x.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec3<T, P>::bool_type isnan
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isnan' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec3<T, P>::bool_type(
|
||
|
isnan(x.x),
|
||
|
isnan(x.y),
|
||
|
isnan(x.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec4<T, P>::bool_type isnan
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isnan' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec4<T, P>::bool_type(
|
||
|
isnan(x.x),
|
||
|
isnan(x.y),
|
||
|
isnan(x.z),
|
||
|
isnan(x.w));
|
||
|
}
|
||
|
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER bool isinf(
|
||
|
genType const & x)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<genType>::is_iec559,
|
||
|
"'isinf' only accept floating-point inputs");
|
||
|
|
||
|
# if(GLM_COMPILER & (GLM_COMPILER_INTEL | GLM_COMPILER_VC))
|
||
|
return _fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF;
|
||
|
# elif(GLM_COMPILER & (GLM_COMPILER_GCC | GLM_COMPILER_CLANG))
|
||
|
# if(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
|
||
|
return _isinf(x) != 0;
|
||
|
# else
|
||
|
return std::isinf(x);
|
||
|
# endif
|
||
|
# elif(GLM_COMPILER & GLM_COMPILER_CUDA)
|
||
|
// http://developer.download.nvidia.com/compute/cuda/4_2/rel/toolkit/docs/online/group__CUDA__MATH__DOUBLE_g13431dd2b40b51f9139cbb7f50c18fab.html#g13431dd2b40b51f9139cbb7f50c18fab
|
||
|
return isinf(double(x)) != 0;
|
||
|
# else
|
||
|
return std::isinf(x);
|
||
|
# endif
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec2<T, P>::bool_type isinf
|
||
|
(
|
||
|
detail::tvec2<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isinf' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec2<T, P>::bool_type(
|
||
|
isinf(x.x),
|
||
|
isinf(x.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec3<T, P>::bool_type isinf
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isinf' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec3<T, P>::bool_type(
|
||
|
isinf(x.x),
|
||
|
isinf(x.y),
|
||
|
isinf(x.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER typename detail::tvec4<T, P>::bool_type isinf
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'isinf' only accept floating-point inputs");
|
||
|
|
||
|
return typename detail::tvec4<T, P>::bool_type(
|
||
|
isinf(x.x),
|
||
|
isinf(x.y),
|
||
|
isinf(x.z),
|
||
|
isinf(x.w));
|
||
|
}
|
||
|
|
||
|
GLM_FUNC_QUALIFIER int floatBitsToInt(float const & v)
|
||
|
{
|
||
|
return reinterpret_cast<int&>(const_cast<float&>(v));
|
||
|
}
|
||
|
|
||
|
template <template <typename, precision> class vecType, precision P>
|
||
|
GLM_FUNC_QUALIFIER vecType<int, P> floatBitsToInt(vecType<float, P> const & v)
|
||
|
{
|
||
|
return reinterpret_cast<vecType<int, P>&>(const_cast<vecType<float, P>&>(v));
|
||
|
}
|
||
|
|
||
|
GLM_FUNC_QUALIFIER uint floatBitsToUint(float const & v)
|
||
|
{
|
||
|
return reinterpret_cast<uint&>(const_cast<float&>(v));
|
||
|
}
|
||
|
|
||
|
template <template <typename, precision> class vecType, precision P>
|
||
|
GLM_FUNC_QUALIFIER vecType<uint, P> floatBitsToUint(vecType<float, P> const & v)
|
||
|
{
|
||
|
return reinterpret_cast<vecType<uint, P>&>(const_cast<vecType<float, P>&>(v));
|
||
|
}
|
||
|
|
||
|
GLM_FUNC_QUALIFIER float intBitsToFloat(int const & v)
|
||
|
{
|
||
|
return reinterpret_cast<float&>(const_cast<int&>(v));
|
||
|
}
|
||
|
|
||
|
template <template <typename, precision> class vecType, precision P>
|
||
|
GLM_FUNC_QUALIFIER vecType<float, P> intBitsToFloat(vecType<int, P> const & v)
|
||
|
{
|
||
|
return reinterpret_cast<vecType<float, P>&>(const_cast<vecType<int, P>&>(v));
|
||
|
}
|
||
|
|
||
|
GLM_FUNC_QUALIFIER float uintBitsToFloat(uint const & v)
|
||
|
{
|
||
|
return reinterpret_cast<float&>(const_cast<uint&>(v));
|
||
|
}
|
||
|
|
||
|
template <template <typename, precision> class vecType, precision P>
|
||
|
GLM_FUNC_QUALIFIER vecType<float, P> uintBitsToFloat(vecType<uint, P> const & v)
|
||
|
{
|
||
|
return reinterpret_cast<vecType<float, P>&>(const_cast<vecType<uint, P>&>(v));
|
||
|
}
|
||
|
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER genType fma
|
||
|
(
|
||
|
genType const & a,
|
||
|
genType const & b,
|
||
|
genType const & c
|
||
|
)
|
||
|
{
|
||
|
return a * b + c;
|
||
|
}
|
||
|
|
||
|
template <typename genType>
|
||
|
GLM_FUNC_QUALIFIER genType frexp
|
||
|
(
|
||
|
genType const & x,
|
||
|
int & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<genType>::is_iec559,
|
||
|
"'frexp' only accept floating-point inputs");
|
||
|
|
||
|
return std::frexp(x, exp);
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> frexp
|
||
|
(
|
||
|
detail::tvec2<T, P> const & x,
|
||
|
detail::tvec2<int, P> & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'frexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec2<T, P>(
|
||
|
frexp(x.x, exp.x),
|
||
|
frexp(x.y, exp.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> frexp
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x,
|
||
|
detail::tvec3<int, P> & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'frexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
frexp(x.x, exp.x),
|
||
|
frexp(x.y, exp.y),
|
||
|
frexp(x.z, exp.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> frexp
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x,
|
||
|
detail::tvec4<int, P> & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'frexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
frexp(x.x, exp.x),
|
||
|
frexp(x.y, exp.y),
|
||
|
frexp(x.z, exp.z),
|
||
|
frexp(x.w, exp.w));
|
||
|
}
|
||
|
|
||
|
template <typename genType, precision P>
|
||
|
GLM_FUNC_QUALIFIER genType ldexp
|
||
|
(
|
||
|
genType const & x,
|
||
|
int const & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<genType>::is_iec559,
|
||
|
"'frexp' only accept floating-point inputs");
|
||
|
|
||
|
return std::ldexp(x, exp);
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec2<T, P> ldexp
|
||
|
(
|
||
|
detail::tvec2<T, P> const & x,
|
||
|
detail::tvec2<int, P> const & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'ldexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec2<T, P>(
|
||
|
ldexp(x.x, exp.x),
|
||
|
ldexp(x.y, exp.y));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec3<T, P> ldexp
|
||
|
(
|
||
|
detail::tvec3<T, P> const & x,
|
||
|
detail::tvec3<int, P> const & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'ldexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec3<T, P>(
|
||
|
ldexp(x.x, exp.x),
|
||
|
ldexp(x.y, exp.y),
|
||
|
ldexp(x.z, exp.z));
|
||
|
}
|
||
|
|
||
|
template <typename T, precision P>
|
||
|
GLM_FUNC_QUALIFIER detail::tvec4<T, P> ldexp
|
||
|
(
|
||
|
detail::tvec4<T, P> const & x,
|
||
|
detail::tvec4<int, P> const & exp
|
||
|
)
|
||
|
{
|
||
|
GLM_STATIC_ASSERT(
|
||
|
std::numeric_limits<T>::is_iec559,
|
||
|
"'ldexp' only accept floating-point inputs");
|
||
|
|
||
|
return detail::tvec4<T, P>(
|
||
|
ldexp(x.x, exp.x),
|
||
|
ldexp(x.y, exp.y),
|
||
|
ldexp(x.z, exp.z),
|
||
|
ldexp(x.w, exp.w));
|
||
|
}
|
||
|
|
||
|
}//namespace glm
|