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Merge branch '0.9.0' of git://ogl-math.git.sourceforge.net/gitroot/ogl-math/ogl-math into 0.9.0

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Christophe Riccio 2010-05-15 12:07:29 +01:00
commit 1dc86fdd99
13 changed files with 1642 additions and 1 deletions
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2
glm/core/func_common.inl
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@ -833,7 +833,7 @@ namespace glm
// detail::type<genTypeU>::is_float); // detail::type<genTypeU>::is_float);
//return x + a * (y - x); //return x + a * (y - x);
return genTypeU(x) + a * genTypeU(y - x); return genTypeT(genTypeU(x) + a * genTypeU(y - x));
} }
template <typename valTypeA, typename valTypeB> template <typename valTypeA, typename valTypeB>

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glm/core/intrinsic_common.hpp Normal file
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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-05-11
// Updated : 2009-05-11
// Licence : This source is under MIT License
// File : glm/core/intrinsic_common.hpp
///////////////////////////////////////////////////////////////////////////////////////////////////
#ifndef GLM_DETAIL_INTRINSIC_COMMON_INCLUDED
#define GLM_DETAIL_INTRINSIC_COMMON_INCLUDED
//#include <mmintrin.h>
//#include <emmintrin.h>
#include <xmmintrin.h>
#include <emmintrin.h>
__m128 _mm_abs_ps(__m128 x);
__m128 _mm_sgn_ps(__m128 x);
//floor
__m128 _mm_flr_ps(__m128 v);
//trunc
__m128 _mm_trc_ps(__m128 v);
//round
__m128 _mm_rnd_ps(__m128 v);
//roundEven
__m128 _mm_rde_ps(__m128 v);
__m128 _mm_ceil_ps(__m128 v);
__m128 _mm_frc_ps(__m128 x);
__m128 _mm_mod_ps(__m128 x, __m128 y);
__m128 _mm_modf_ps(__m128 x, __m128i & i);
//inline __m128 _mm_min_ps(__m128 x, __m128 y)
//inline __m128 _mm_max_ps(__m128 x, __m128 y)
__m128 _mm_clp_ps(__m128 v, __m128 minVal, __m128 maxVal);
__m128 _mm_mix_ps(__m128 v1, __m128 v2, __m128 a);
__m128 _mm_stp_ps(__m128 edge, __m128 x);
__m128 _mm_ssp_ps(__m128 edge0, __m128 edge1, __m128 x);
__m128 _mm_nan_ps(__m128 x);
__m128 _mm_inf_ps(__m128 x);
#include "intrinsic_common.inl"
#endif//GLM_DETAIL_INTRINSIC_COMMON_INCLUDED

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-05-08
// Updated : 2009-05-08
// Licence : This source is under MIT License
// File : glm/core/intrinsic_common.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace detail{
union ieee754_QNAN
{
const float f;
struct
{
const unsigned int mantissa:23, exp:8, sign:1;
};
ieee754_QNAN() : f(0.0), mantissa(0x7FFFFF), exp(0xFF), sign(0x0) {}
};
static const __m128 zero = _mm_setzero_ps();
static const __m128 one = _mm_set_ps1(1.0f);
static const __m128 minus_one = _mm_set_ps1(-1.0f);
static const __m128 two = _mm_set_ps1(2.0f);
static const __m128 three = _mm_set_ps1(3.0f);
static const __m128 pi = _mm_set_ps1(3.1415926535897932384626433832795f);
static const __m128 hundred_eighty = _mm_set_ps1(180.f);
static const __m128 pi_over_hundred_eighty = _mm_set_ps1(0.017453292519943295769236907684886f);
static const __m128 hundred_eighty_over_pi = _mm_set_ps1(57.295779513082320876798154814105f);
static const ieee754_QNAN absMask;
static const __m128 abs4Mask = _mm_set_ps1(absMask.f);
//static const __m128 _epi32_sign_mask = _mm_castsi128_ps(_mm_set1_epi32(0x80000000));
//static const __m128 _epi32_inv_sign_mask = _mm_castsi128_ps(_mm_set1_epi32(0x7FFFFFFF));
//static const __m128 _epi32_mant_mask = _mm_castsi128_ps(_mm_set1_epi32(0x7F800000));
//static const __m128 _epi32_inv_mant_mask = _mm_castsi128_ps(_mm_set1_epi32(0x807FFFFF));
//static const __m128 _epi32_min_norm_pos = _mm_castsi128_ps(_mm_set1_epi32(0x00800000));
static const __m128 _epi32_0 = _mm_set_ps1(0);
static const __m128 _epi32_1 = _mm_set_ps1(1);
static const __m128 _epi32_2 = _mm_set_ps1(2);
static const __m128 _epi32_3 = _mm_set_ps1(3);
static const __m128 _epi32_4 = _mm_set_ps1(4);
static const __m128 _epi32_5 = _mm_set_ps1(5);
static const __m128 _epi32_6 = _mm_set_ps1(6);
static const __m128 _epi32_7 = _mm_set_ps1(7);
static const __m128 _epi32_8 = _mm_set_ps1(8);
static const __m128 _epi32_9 = _mm_set_ps1(9);
static const __m128 _epi32_127 = _mm_set_ps1(127);
//static const __m128 _epi32_ninf = _mm_castsi128_ps(_mm_set1_epi32(0xFF800000));
//static const __m128 _epi32_pinf = _mm_castsi128_ps(_mm_set1_epi32(0x7F800000));
static const __m128 _ps_1_3 = _mm_set_ps1(0.33333333333333333333333333333333f);
static const __m128 _ps_0p5 = _mm_set_ps1(0.5f);
static const __m128 _ps_1 = _mm_set_ps1(1.0f);
static const __m128 _ps_m1 = _mm_set_ps1(-1.0f);
static const __m128 _ps_2 = _mm_set_ps1(2.0f);
static const __m128 _ps_3 = _mm_set_ps1(3.0f);
static const __m128 _ps_127 = _mm_set_ps1(127.0f);
static const __m128 _ps_255 = _mm_set_ps1(255.0f);
static const __m128 _ps_2pow23 = _mm_set_ps1(8388608.0f);
static const __m128 _ps_1_0_0_0 = _mm_set_ps(1.0f, 0.0f, 0.0f, 0.0f);
static const __m128 _ps_0_1_0_0 = _mm_set_ps(0.0f, 1.0f, 0.0f, 0.0f);
static const __m128 _ps_0_0_1_0 = _mm_set_ps(0.0f, 0.0f, 1.0f, 0.0f);
static const __m128 _ps_0_0_0_1 = _mm_set_ps(0.0f, 0.0f, 0.0f, 1.0f);
static const __m128 _ps_pi = _mm_set_ps1(3.1415926535897932384626433832795f);
static const __m128 _ps_pi2 = _mm_set_ps1(6.283185307179586476925286766560f);
static const __m128 _ps_2_pi = _mm_set_ps1(0.63661977236758134307553505349006f);
static const __m128 _ps_pi_2 = _mm_set_ps1(1.5707963267948966192313216916398f);
static const __m128 _ps_4_pi = _mm_set_ps1(1.2732395447351626861510701069801f);
static const __m128 _ps_pi_4 = _mm_set_ps1(0.78539816339744830961566084581988f);
static const __m128 _ps_sincos_p0 = _mm_set_ps1(0.15707963267948963959e1f);
static const __m128 _ps_sincos_p1 = _mm_set_ps1(-0.64596409750621907082e0f);
static const __m128 _ps_sincos_p2 = _mm_set_ps1(0.7969262624561800806e-1f);
static const __m128 _ps_sincos_p3 = _mm_set_ps1(-0.468175413106023168e-2f);
static const __m128 _ps_tan_p0 = _mm_set_ps1(-1.79565251976484877988e7f);
static const __m128 _ps_tan_p1 = _mm_set_ps1(1.15351664838587416140e6f);
static const __m128 _ps_tan_p2 = _mm_set_ps1(-1.30936939181383777646e4f);
static const __m128 _ps_tan_q0 = _mm_set_ps1(-5.38695755929454629881e7f);
static const __m128 _ps_tan_q1 = _mm_set_ps1(2.50083801823357915839e7f);
static const __m128 _ps_tan_q2 = _mm_set_ps1(-1.32089234440210967447e6f);
static const __m128 _ps_tan_q3 = _mm_set_ps1(1.36812963470692954678e4f);
static const __m128 _ps_tan_poleval = _mm_set_ps1(3.68935e19f);
static const __m128 _ps_atan_t0 = _mm_set_ps1(-0.91646118527267623468e-1f);
static const __m128 _ps_atan_t1 = _mm_set_ps1(-0.13956945682312098640e1f);
static const __m128 _ps_atan_t2 = _mm_set_ps1(-0.94393926122725531747e2f);
static const __m128 _ps_atan_t3 = _mm_set_ps1(0.12888383034157279340e2f);
static const __m128 _ps_atan_s0 = _mm_set_ps1(0.12797564625607904396e1f);
static const __m128 _ps_atan_s1 = _mm_set_ps1(0.21972168858277355914e1f);
static const __m128 _ps_atan_s2 = _mm_set_ps1(0.68193064729268275701e1f);
static const __m128 _ps_atan_s3 = _mm_set_ps1(0.28205206687035841409e2f);
static const __m128 _ps_exp_hi = _mm_set_ps1(88.3762626647949f);
static const __m128 _ps_exp_lo = _mm_set_ps1(-88.3762626647949f);
static const __m128 _ps_exp_rln2 = _mm_set_ps1(1.4426950408889634073599f);
static const __m128 _ps_exp_p0 = _mm_set_ps1(1.26177193074810590878e-4f);
static const __m128 _ps_exp_p1 = _mm_set_ps1(3.02994407707441961300e-2f);
static const __m128 _ps_exp_q0 = _mm_set_ps1(3.00198505138664455042e-6f);
static const __m128 _ps_exp_q1 = _mm_set_ps1(2.52448340349684104192e-3f);
static const __m128 _ps_exp_q2 = _mm_set_ps1(2.27265548208155028766e-1f);
static const __m128 _ps_exp_q3 = _mm_set_ps1(2.00000000000000000009e0f);
static const __m128 _ps_exp_c1 = _mm_set_ps1(6.93145751953125e-1f);
static const __m128 _ps_exp_c2 = _mm_set_ps1(1.42860682030941723212e-6f);
static const __m128 _ps_exp2_hi = _mm_set_ps1(127.4999961853f);
static const __m128 _ps_exp2_lo = _mm_set_ps1(-127.4999961853f);
static const __m128 _ps_exp2_p0 = _mm_set_ps1(2.30933477057345225087e-2f);
static const __m128 _ps_exp2_p1 = _mm_set_ps1(2.02020656693165307700e1f);
static const __m128 _ps_exp2_p2 = _mm_set_ps1(1.51390680115615096133e3f);
static const __m128 _ps_exp2_q0 = _mm_set_ps1(2.33184211722314911771e2f);
static const __m128 _ps_exp2_q1 = _mm_set_ps1(4.36821166879210612817e3f);
static const __m128 _ps_log_p0 = _mm_set_ps1(-7.89580278884799154124e-1f);
static const __m128 _ps_log_p1 = _mm_set_ps1(1.63866645699558079767e1f);
static const __m128 _ps_log_p2 = _mm_set_ps1(-6.41409952958715622951e1f);
static const __m128 _ps_log_q0 = _mm_set_ps1(-3.56722798256324312549e1f);
static const __m128 _ps_log_q1 = _mm_set_ps1(3.12093766372244180303e2f);
static const __m128 _ps_log_q2 = _mm_set_ps1(-7.69691943550460008604e2f);
static const __m128 _ps_log_c0 = _mm_set_ps1(0.693147180559945f);
static const __m128 _ps_log2_c0 = _mm_set_ps1(1.44269504088896340735992f);
}//namespace detail
}//namespace glm
inline __m128 _mm_abs_ps(__m128 x)
{
return _mm_and_ps(glm::detail::abs4Mask, x);
}
inline __m128 _mm_sgn_ps(__m128 x)
{
//__m128 cmp0 = _mm_cmpeq_ps(x, zero);
//__m128 cmp1 = _mm_cmple_ps(x, zero);
//__m128 cmp2 = _mm_cmpge_ps(x, zero);
__m128 result;
__m128 cmp0 = _mm_cmpeq_ps(x, glm::detail::zero);
if(_mm_movemask_ps(cmp0) == 0)
result = glm::detail::zero;
else
{
__m128 cmp1 = _mm_cmpge_ps(x, glm::detail::zero);
//__m128 cmp2 = _mm_cmple_ps(x, glm::detail::zero);
if(_mm_movemask_ps(cmp1) > 0)
result = glm::detail::one;
else //if(_mm_movemask_ps(cmp2) > 0)
result = glm::detail::minus_one;
}
return result;
}
//floor
inline __m128 _mm_flr_ps(__m128 x)
{
__m128 rnd0 = _mm_rnd_ps(x);
__m128 cmp0 = _mm_cmplt_ps(x, rnd0);
__m128 and0 = _mm_and_ps(cmp0, glm::detail::_ps_1);
__m128 sub0 = _mm_sub_ps(rnd0, and0);
return sub0;
}
//trunc
inline __m128 _mm_trc_ps(__m128 v)
{
return __m128();
}
//round
inline __m128 _mm_rnd_ps(__m128 x)
{
__m128 and0;// = _mm_and_ps(glm::detail::_epi32_sign_mask, x);
__m128 or0 = _mm_or_ps(and0, glm::detail::_ps_2pow23);
__m128 add0 = _mm_add_ps(x, or0);
__m128 sub0 = _mm_sub_ps(add0, or0);
return sub0;
}
//roundEven
inline __m128 _mm_rde_ps(__m128 v)
{
}
inline __m128 _mm_ceil_ps(__m128 x)
{
__m128 rnd0 = _mm_rnd_ps(x);
__m128 cmp0 = _mm_cmpgt_ps(x, rnd0);
__m128 and0 = _mm_and_ps(cmp0, glm::detail::_ps_1);
__m128 add0 = _mm_add_ps(rnd0, and0);
return add0;
}
inline __m128 _mm_frc_ps(__m128 x)
{
__m128 flr0 = _mm_flr_ps(x);
__m128 sub0 = _mm_sub_ps(x, flr0);
return sub0;
}
inline __m128 _mm_mod_ps(__m128 x, __m128 y)
{
__m128 div0 = _mm_div_ps(x, y);
__m128 flr0 = _mm_flr_ps(div0);
__m128 mul0 = _mm_mul_ps(y, flr0);
__m128 sub0 = _mm_sub_ps(x, mul0);
return sub0;
}
inline __m128 _mm_modf_ps(__m128 x, __m128i & i)
{
}
//inline __m128 _mm_min_ps(__m128 x, __m128 y)
//inline __m128 _mm_max_ps(__m128 x, __m128 y)
inline __m128 _mm_clp_ps(__m128 v, __m128 minVal, __m128 maxVal)
{
__m128 min0 = _mm_min_ps(v, maxVal);
__m128 max0 = _mm_max_ps(min0, minVal);
return max0;
}
inline __m128 _mm_mix_ps(__m128 v1, __m128 v2, __m128 a)
{
__m128 sub0 = _mm_sub_ps(glm::detail::one, a);
__m128 mul0 = _mm_mul_ps(v1, sub0);
__m128 mul1 = _mm_mul_ps(v2, a);
__m128 add0 = _mm_add_ps(mul0, mul1);
return add0;
}
inline __m128 _mm_stp_ps(__m128 edge, __m128 x)
{
__m128 cmp = _mm_cmple_ps(x, edge);
if(_mm_movemask_ps(cmp) == 0)
return glm::detail::one;
else
return glm::detail::zero;
}
inline __m128 _mm_ssp_ps(__m128 edge0, __m128 edge1, __m128 x)
{
__m128 sub0 = _mm_sub_ps(x, edge0);
__m128 sub1 = _mm_sub_ps(edge1, edge0);
__m128 div0 = _mm_sub_ps(sub0, sub1);
__m128 clp0 = _mm_clp_ps(div0, glm::detail::zero, glm::detail::one);
__m128 mul0 = _mm_mul_ps(glm::detail::two, clp0);
__m128 sub2 = _mm_sub_ps(glm::detail::three, mul0);
__m128 mul1 = _mm_mul_ps(clp0, clp0);
__m128 mul2 = _mm_mul_ps(mul1, sub2);
return mul2;
}
inline __m128 _mm_nan_ps(__m128 x)
{
}
inline __m128 _mm_inf_ps(__m128 x)
{
}
// SSE scalar reciprocal sqrt using rsqrt op, plus one Newton-Rhaphson iteration
// By Elan Ruskin,
inline __m128 _mm_sqrt_wip_ss(__m128 const x)
{
__m128 recip = _mm_rsqrt_ss( x ); // "estimate" opcode
const static __m128 three = { 3, 3, 3, 3 }; // aligned consts for fast load
const static __m128 half = { 0.5,0.5,0.5,0.5 };
__m128 halfrecip = _mm_mul_ss( half, recip );
__m128 threeminus_xrr = _mm_sub_ss( three, _mm_mul_ss( x, _mm_mul_ss ( recip, recip ) ) );
return _mm_mul_ss( halfrecip, threeminus_xrr );
}

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glm/core/intrinsic_exponential.hpp Normal file
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/*
inline __m128 _mm_rsqrt_nr_ss(__m128 const x)
{
__m128 recip = _mm_rsqrt_ss( x ); // "estimate" opcode
const static __m128 three = { 3, 3, 3, 3 }; // aligned consts for fast load
const static __m128 half = { 0.5,0.5,0.5,0.5 };
__m128 halfrecip = _mm_mul_ss( half, recip );
__m128 threeminus_xrr = _mm_sub_ss( three, _mm_mul_ss( x, _mm_mul_ss ( recip, recip ) ) );
return _mm_mul_ss( halfrecip, threeminus_xrr );
}
inline __m128 __mm_normalize_fast_ps( float * RESTRICT vOut, float * RESTRICT vIn )
{
__m128 x = _mm_load_ss(&vIn[0]);
__m128 y = _mm_load_ss(&vIn[1]);
__m128 z = _mm_load_ss(&vIn[2]);
const __m128 l = // compute x*x + y*y + z*z
_mm_add_ss(
_mm_add_ss( _mm_mul_ss(x,x),
_mm_mul_ss(y,y)
),
_mm_mul_ss( z, z )
);
const __m128 rsqt = _mm_rsqrt_nr_ss( l );
_mm_store_ss( &vOut[0] , _mm_mul_ss( rsqt, x ) );
_mm_store_ss( &vOut[1] , _mm_mul_ss( rsqt, y ) );
_mm_store_ss( &vOut[2] , _mm_mul_ss( rsqt, z ) );
return _mm_mul_ss( l , rsqt );
}
*/

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-05-08
// Updated : 2009-05-08
// Licence : This source is under MIT License
// File : glm/core/intrinsic_geometric.hpp
///////////////////////////////////////////////////////////////////////////////////////////////////
#ifndef glm_core_intrinsic_geometric
#define glm_core_intrinsic_geometric
#include "intrinsic_common.hpp"
//length
__m128 _mm_len_ps(__m128 x);
//distance
__m128 _mm_dst_ps(__m128 p0, __m128 p1);
//dot
__m128 _mm_dot_ps(__m128 v1, __m128 v2);
// SSE1
__m128 _mm_dot_ss(__m128 v1, __m128 v2);
//cross
__m128 _mm_xpd_ps(__m128 v1, __m128 v2);
//normalize
__m128 _mm_nrm_ps(__m128 v);
//faceforward
__m128 _mm_ffd_ps(__m128 N, __m128 I, __m128 Nref);
//reflect
__m128 _mm_rfe_ps(__m128 I, __m128 N);
//refract
__m128 _mm_rfa_ps(__m128 I, __m128 N, __m128 eta);
#include "intrinsic_geometric.inl"
#endif//glm_core_intrinsic_geometric

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-05-08
// Updated : 2009-05-08
// Licence : This source is under MIT License
// File : glm/core/intrinsic_geometric.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
//length
inline __m128 _mm_len_ps(__m128 x)
{
__m128 dot0 = _mm_dot_ps(x, x);
__m128 sqt0 = _mm_sqrt_ps(dot0);
return sqt0;
}
//distance
inline __m128 _mm_dst_ps(__m128 p0, __m128 p1)
{
__m128 sub0 = _mm_sub_ps(p0, p1);
__m128 len0 = _mm_len_ps(sub0);
return len0;
}
//dot
inline __m128 _mm_dot_ps(__m128 v1, __m128 v2)
{
__m128 mul0 = _mm_mul_ps(v1, v2);
__m128 swp0 = _mm_shuffle_ps(mul0, mul0, _MM_SHUFFLE(2, 3, 0, 1));
__m128 add0 = _mm_add_ps(mul0, swp0);
__m128 swp1 = _mm_shuffle_ps(add0, add0, _MM_SHUFFLE(0, 1, 2, 3));
__m128 add1 = _mm_add_ps(add0, swp1);
return add1;
}
// SSE1
inline __m128 _mm_dot_ss(__m128 v1, __m128 v2)
{
__m128 mul0 = _mm_mul_ps(v1, v2);
__m128 mov0 = _mm_movehl_ps(mul0, mul0);
__m128 add0 = _mm_add_ps(mov0, mul0);
__m128 swp1 = _mm_shuffle_ps(add0, add0, 1);
__m128 add1 = _mm_add_ss(add0, swp1);
return add1;
}
//cross
inline __m128 _mm_xpd_ps(__m128 v1, __m128 v2)
{
__m128 swp0 = _mm_shuffle_ps(v1, v1, _MM_SHUFFLE(3, 0, 2, 1));
__m128 swp1 = _mm_shuffle_ps(v1, v1, _MM_SHUFFLE(3, 1, 0, 2));
__m128 swp2 = _mm_shuffle_ps(v2, v2, _MM_SHUFFLE(3, 0, 2, 1));
__m128 swp3 = _mm_shuffle_ps(v2, v2, _MM_SHUFFLE(3, 1, 0, 2));
__m128 mul0 = _mm_mul_ps(swp0, swp3);
__m128 mul1 = _mm_mul_ps(swp1, swp2);
__m128 sub0 = _mm_sub_ps(mul0, mul1);
return sub0;
}
//normalize
inline __m128 _mm_nrm_ps(__m128 v)
{
__m128 dot0 = _mm_dot_ps(v, v);
__m128 isr0 = _mm_rsqrt_ps(dot0);
__m128 mul0 = _mm_mul_ps(v, isr0);
return mul0;
}
//faceforward
inline __m128 _mm_ffd_ps(__m128 N, __m128 I, __m128 Nref)
{
//__m128 dot0 = _mm_dot_ps(v, v);
//__m128 neg0 = _mm_neg_ps(N);
//__m128 sgn0 = _mm_sgn_ps(dot0);
//__m128 mix0 = _mm_mix_ps(N, neg0, sgn0);
//return mix0;
__m128 dot0 = _mm_dot_ps(Nref, I);
__m128 sgn0 = _mm_sgn_ps(dot0);
__m128 mul0 = _mm_mul_ps(sgn0, glm::detail::minus_one);
__m128 mul1 = _mm_mul_ps(N, mul0);
return mul1;
}
//reflect
inline __m128 _mm_rfe_ps(__m128 I, __m128 N)
{
__m128 dot0 = _mm_dot_ps(N, I);
__m128 mul0 = _mm_mul_ps(N, I);
__m128 mul1 = _mm_mul_ps(mul0, glm::detail::two);
__m128 sub0 = _mm_sub_ps(I, mul1);
return sub0;
}
//refract
inline __m128 _mm_rfa_ps(__m128 I, __m128 N, __m128 eta)
{
__m128 dot0 = _mm_dot_ps(N, I);
__m128 mul0 = _mm_mul_ps(eta, eta);
__m128 mul1 = _mm_mul_ps(dot0, dot0);
__m128 sub0 = _mm_sub_ps(glm::detail::one, mul0);
__m128 sub1 = _mm_sub_ps(glm::detail::one, mul1);
__m128 mul2 = _mm_mul_ps(sub0, sub1);
if(_mm_movemask_ps(_mm_cmplt_ss(mul2, glm::detail::zero)) == 0)
return glm::detail::zero;
__m128 sqt0 = _mm_sqrt_ps(mul2);
__m128 mul3 = _mm_mul_ps(eta, dot0);
__m128 add0 = _mm_add_ps(mul3, sqt0);
__m128 mul4 = _mm_mul_ps(add0, N);
__m128 mul5 = _mm_mul_ps(eta, I);
__m128 sub2 = _mm_sub_ps(mul5, mul4);
return sub2;
}

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-06-05
// Updated : 2009-06-05
// Licence : This source is under MIT License
// File : glm/core/intrinsic_common.hpp
///////////////////////////////////////////////////////////////////////////////////////////////////
#ifndef GLM_DETAIL_INTRINSIC_MATRIX_INCLUDED
#define GLM_DETAIL_INTRINSIC_MATRIX_INCLUDED
#include "../glm.hpp"
#include <xmmintrin.h>
#include <emmintrin.h>
void _mm_add_ps(__m128 in1[4], __m128 in2[4], __m128 out[4]);
void _mm_sub_ps(__m128 in1[4], __m128 in2[4], __m128 out[4]);
__m128 _mm_mul_ps(__m128 m[4], __m128 v);
__m128 _mm_mul_ps(__m128 v, __m128 m[4]);
void _mm_mul_ps(__m128 const in1[4], __m128 const in2[4], __m128 out[4]);
void _mm_transpose_ps(__m128 const in[4], __m128 out[4]);
void _mm_inverse_ps(__m128 const in[4], __m128 out[4]);
void _mm_rotate_ps(__m128 const in[4], float Angle, float const v[3], __m128 out[4]);
#include "intrinsic_matrix.inl"
#endif//GLM_DETAIL_INTRINSIC_MATRIX_INCLUDED

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-06-05
// Updated : 2009-06-05
// Licence : This source is under MIT License
// File : glm/core/intrinsic_common.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
static const __m128 one = _mm_set_ps1(1.0f);
static const __m128 pi = _mm_set_ps1(3.141592653589793238462643383279f);
static const __m128 _m128_rad_ps = _mm_set_ps1(3.141592653589793238462643383279f / 180.f);
static const __m128 _m128_deg_ps = _mm_set_ps1(180.f / 3.141592653589793238462643383279f);
inline void _mm_add_ps(__m128 in1[4], __m128 in2[4], __m128 out[4])
{
{
out[0] = _mm_add_ps(in1[0], in2[0]);
out[1] = _mm_add_ps(in1[1], in2[1]);
out[2] = _mm_add_ps(in1[2], in2[2]);
out[3] = _mm_add_ps(in1[3], in2[3]);
}
}
inline void _mm_sub_ps(__m128 in1[4], __m128 in2[4], __m128 out[4])
{
{
out[0] = _mm_sub_ps(in1[0], in2[0]);
out[1] = _mm_sub_ps(in1[1], in2[1]);
out[2] = _mm_sub_ps(in1[2], in2[2]);
out[3] = _mm_sub_ps(in1[3], in2[3]);
}
}
inline __m128 _mm_mul_ps(__m128 m[4], __m128 v)
{
__m128 v0 = _mm_shuffle_ps(v, v, _MM_SHUFFLE(0, 0, 0, 0));
__m128 v1 = _mm_shuffle_ps(v, v, _MM_SHUFFLE(1, 1, 1, 1));
__m128 v2 = _mm_shuffle_ps(v, v, _MM_SHUFFLE(2, 2, 2, 2));
__m128 v3 = _mm_shuffle_ps(v, v, _MM_SHUFFLE(3, 3, 3, 3));
__m128 m0 = _mm_mul_ps(m[0], v0);
__m128 m1 = _mm_mul_ps(m[1], v1);
__m128 m2 = _mm_mul_ps(m[2], v2);
__m128 m3 = _mm_mul_ps(m[3], v3);
__m128 a0 = _mm_add_ps(m0, m1);
__m128 a1 = _mm_add_ps(m2, m3);
__m128 a2 = _mm_add_ps(a0, a1);
return a2;
}
inline __m128 _mm_mul_ps(__m128 v, __m128 m[4])
{
__m128 i0 = m[0];
__m128 i1 = m[1];
__m128 i2 = m[2];
__m128 i3 = m[3];
__m128 m0 = _mm_mul_ps(v, i0);
__m128 m1 = _mm_mul_ps(v, i1);
__m128 m2 = _mm_mul_ps(v, i2);
__m128 m3 = _mm_mul_ps(v, i3);
__m128 u0 = _mm_unpacklo_ps(m0, m1);
__m128 u1 = _mm_unpackhi_ps(m0, m1);
__m128 a0 = _mm_add_ps(u0, u1);
__m128 u2 = _mm_unpacklo_ps(m2, m3);
__m128 u3 = _mm_unpackhi_ps(m2, m3);
__m128 a1 = _mm_add_ps(u2, u3);
__m128 f0 = _mm_movelh_ps(a0, a1);
__m128 f1 = _mm_movehl_ps(a1, a0);
__m128 f2 = _mm_add_ps(f0, f1);
return f2;
}
inline void _mm_mul_ps(__m128 const in1[4], __m128 const in2[4], __m128 out[4])
{
{
__m128 e0 = _mm_shuffle_ps(in2[0], in2[0], _MM_SHUFFLE(0, 0, 0, 0));
__m128 e1 = _mm_shuffle_ps(in2[0], in2[0], _MM_SHUFFLE(1, 1, 1, 1));
__m128 e2 = _mm_shuffle_ps(in2[0], in2[0], _MM_SHUFFLE(2, 2, 2, 2));
__m128 e3 = _mm_shuffle_ps(in2[0], in2[0], _MM_SHUFFLE(3, 3, 3, 3));
__m128 m0 = _mm_mul_ps(in1[0], e0);
__m128 m1 = _mm_mul_ps(in1[1], e1);
__m128 m2 = _mm_mul_ps(in1[2], e2);
__m128 m3 = _mm_mul_ps(in1[3], e3);
__m128 a0 = _mm_add_ps(m0, m1);
__m128 a1 = _mm_add_ps(m2, m3);
__m128 a2 = _mm_add_ps(a0, a1);
out[0] = a2;
}
{
__m128 e0 = _mm_shuffle_ps(in2[1], in2[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 e1 = _mm_shuffle_ps(in2[1], in2[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 e2 = _mm_shuffle_ps(in2[1], in2[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 e3 = _mm_shuffle_ps(in2[1], in2[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 m0 = _mm_mul_ps(in1[0], e0);
__m128 m1 = _mm_mul_ps(in1[1], e1);
__m128 m2 = _mm_mul_ps(in1[2], e2);
__m128 m3 = _mm_mul_ps(in1[3], e3);
__m128 a0 = _mm_add_ps(m0, m1);
__m128 a1 = _mm_add_ps(m2, m3);
__m128 a2 = _mm_add_ps(a0, a1);
out[1] = a2;
}
{
__m128 e0 = _mm_shuffle_ps(in2[2], in2[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 e1 = _mm_shuffle_ps(in2[2], in2[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 e2 = _mm_shuffle_ps(in2[2], in2[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 e3 = _mm_shuffle_ps(in2[2], in2[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 m0 = _mm_mul_ps(in1[0], e0);
__m128 m1 = _mm_mul_ps(in1[1], e1);
__m128 m2 = _mm_mul_ps(in1[2], e2);
__m128 m3 = _mm_mul_ps(in1[3], e3);
__m128 a0 = _mm_add_ps(m0, m1);
__m128 a1 = _mm_add_ps(m2, m3);
__m128 a2 = _mm_add_ps(a0, a1);
out[2] = a2;
}
{
//(__m128&)_mm_shuffle_epi32(__m128i&)in2[0], _MM_SHUFFLE(3, 3, 3, 3))
__m128 e0 = _mm_shuffle_ps(in2[3], in2[3], _MM_SHUFFLE(0, 0, 0, 0));
__m128 e1 = _mm_shuffle_ps(in2[3], in2[3], _MM_SHUFFLE(1, 1, 1, 1));
__m128 e2 = _mm_shuffle_ps(in2[3], in2[3], _MM_SHUFFLE(2, 2, 2, 2));
__m128 e3 = _mm_shuffle_ps(in2[3], in2[3], _MM_SHUFFLE(3, 3, 3, 3));
__m128 m0 = _mm_mul_ps(in1[0], e0);
__m128 m1 = _mm_mul_ps(in1[1], e1);
__m128 m2 = _mm_mul_ps(in1[2], e2);
__m128 m3 = _mm_mul_ps(in1[3], e3);
__m128 a0 = _mm_add_ps(m0, m1);
__m128 a1 = _mm_add_ps(m2, m3);
__m128 a2 = _mm_add_ps(a0, a1);
out[3] = a2;
}
}
inline void _mm_transpose_ps(__m128 const in[4], __m128 out[4])
{
__m128 tmp0 = _mm_shuffle_ps(in[0], in[1], 0x44);
__m128 tmp2 = _mm_shuffle_ps(in[0], in[1], 0xEE);
__m128 tmp1 = _mm_shuffle_ps(in[2], in[3], 0x44);
__m128 tmp3 = _mm_shuffle_ps(in[2], in[3], 0xEE);
out[0] = _mm_shuffle_ps(tmp0, tmp1, 0x88);
out[1] = _mm_shuffle_ps(tmp0, tmp1, 0xDD);
out[2] = _mm_shuffle_ps(tmp2, tmp3, 0x88);
out[3] = _mm_shuffle_ps(tmp2, tmp3, 0xDD);
}
inline void _mm_inverse_ps(__m128 const in[4], __m128 out[4])
{
__m128 Fac0;
{
// valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
// valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
// valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
// valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac0 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac1;
{
// valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
// valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
// valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
// valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac1 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac2;
{
// valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
// valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
// valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
// valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac2 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac3;
{
// valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
// valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
// valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
// valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac3 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac4;
{
// valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
// valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
// valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
// valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac4 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac5;
{
// valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
// valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
// valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
// valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac5 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 SignA = _mm_set_ps( 1.0f,-1.0f, 1.0f,-1.0f);
__m128 SignB = _mm_set_ps(-1.0f, 1.0f,-1.0f, 1.0f);
// m[1][0]
// m[0][0]
// m[0][0]
// m[0][0]
__m128 Temp0 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Vec0 = _mm_shuffle_ps(Temp0, Temp0, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][1]
// m[0][1]
// m[0][1]
// m[0][1]
__m128 Temp1 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Vec1 = _mm_shuffle_ps(Temp1, Temp1, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][2]
// m[0][2]
// m[0][2]
// m[0][2]
__m128 Temp2 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Vec2 = _mm_shuffle_ps(Temp2, Temp2, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][3]
// m[0][3]
// m[0][3]
// m[0][3]
__m128 Temp3 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Vec3 = _mm_shuffle_ps(Temp3, Temp3, _MM_SHUFFLE(2, 2, 2, 0));
// col0
// + (Vec1[0] * Fac0[0] - Vec2[0] * Fac1[0] + Vec3[0] * Fac2[0]),
// - (Vec1[1] * Fac0[1] - Vec2[1] * Fac1[1] + Vec3[1] * Fac2[1]),
// + (Vec1[2] * Fac0[2] - Vec2[2] * Fac1[2] + Vec3[2] * Fac2[2]),
// - (Vec1[3] * Fac0[3] - Vec2[3] * Fac1[3] + Vec3[3] * Fac2[3]),
__m128 Mul00 = _mm_mul_ps(Vec1, Fac0);
__m128 Mul01 = _mm_mul_ps(Vec2, Fac1);
__m128 Mul02 = _mm_mul_ps(Vec3, Fac2);
__m128 Sub00 = _mm_sub_ps(Mul00, Mul01);
__m128 Add00 = _mm_add_ps(Sub00, Mul02);
__m128 Inv0 = _mm_mul_ps(SignB, Add00);
// col1
// - (Vec0[0] * Fac0[0] - Vec2[0] * Fac3[0] + Vec3[0] * Fac4[0]),
// + (Vec0[0] * Fac0[1] - Vec2[1] * Fac3[1] + Vec3[1] * Fac4[1]),
// - (Vec0[0] * Fac0[2] - Vec2[2] * Fac3[2] + Vec3[2] * Fac4[2]),
// + (Vec0[0] * Fac0[3] - Vec2[3] * Fac3[3] + Vec3[3] * Fac4[3]),
__m128 Mul03 = _mm_mul_ps(Vec0, Fac0);
__m128 Mul04 = _mm_mul_ps(Vec2, Fac3);
__m128 Mul05 = _mm_mul_ps(Vec3, Fac4);
__m128 Sub01 = _mm_sub_ps(Mul03, Mul04);
__m128 Add01 = _mm_add_ps(Sub01, Mul05);
__m128 Inv1 = _mm_mul_ps(SignA, Add01);
// col2
// + (Vec0[0] * Fac1[0] - Vec1[0] * Fac3[0] + Vec3[0] * Fac5[0]),
// - (Vec0[0] * Fac1[1] - Vec1[1] * Fac3[1] + Vec3[1] * Fac5[1]),
// + (Vec0[0] * Fac1[2] - Vec1[2] * Fac3[2] + Vec3[2] * Fac5[2]),
// - (Vec0[0] * Fac1[3] - Vec1[3] * Fac3[3] + Vec3[3] * Fac5[3]),
__m128 Mul06 = _mm_mul_ps(Vec0, Fac1);
__m128 Mul07 = _mm_mul_ps(Vec1, Fac3);
__m128 Mul08 = _mm_mul_ps(Vec3, Fac5);
__m128 Sub02 = _mm_sub_ps(Mul06, Mul07);
__m128 Add02 = _mm_add_ps(Sub02, Mul08);
__m128 Inv2 = _mm_mul_ps(SignB, Add02);
// col3
// - (Vec1[0] * Fac2[0] - Vec1[0] * Fac4[0] + Vec2[0] * Fac5[0]),
// + (Vec1[0] * Fac2[1] - Vec1[1] * Fac4[1] + Vec2[1] * Fac5[1]),
// - (Vec1[0] * Fac2[2] - Vec1[2] * Fac4[2] + Vec2[2] * Fac5[2]),
// + (Vec1[0] * Fac2[3] - Vec1[3] * Fac4[3] + Vec2[3] * Fac5[3]));
__m128 Mul09 = _mm_mul_ps(Vec0, Fac2);
__m128 Mul10 = _mm_mul_ps(Vec1, Fac4);
__m128 Mul11 = _mm_mul_ps(Vec2, Fac5);
__m128 Sub03 = _mm_sub_ps(Mul09, Mul10);
__m128 Add03 = _mm_add_ps(Sub03, Mul11);
__m128 Inv3 = _mm_mul_ps(SignA, Add03);
__m128 Row0 = _mm_shuffle_ps(Inv0, Inv1, _MM_SHUFFLE(0, 0, 0, 0));
__m128 Row1 = _mm_shuffle_ps(Inv2, Inv3, _MM_SHUFFLE(0, 0, 0, 0));
__m128 Row2 = _mm_shuffle_ps(Row0, Row1, _MM_SHUFFLE(2, 0, 2, 0));
// valType Determinant = m[0][0] * Inverse[0][0]
// + m[0][1] * Inverse[1][0]
// + m[0][2] * Inverse[2][0]
// + m[0][3] * Inverse[3][0];
__m128 Det0 = _mm_dot_ps(in[0], Row2);
__m128 Rcp0 = _mm_div_ps(one, Det0);
//__m128 Rcp0 = _mm_rcp_ps(Det0);
// Inverse /= Determinant;
out[0] = _mm_mul_ps(Inv0, Rcp0);
out[1] = _mm_mul_ps(Inv1, Rcp0);
out[2] = _mm_mul_ps(Inv2, Rcp0);
out[3] = _mm_mul_ps(Inv3, Rcp0);
}
inline void _mm_inverse_fast_ps(__m128 const in[4], __m128 out[4])
{
__m128 Fac0;
{
// valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
// valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
// valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
// valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac0 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac1;
{
// valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
// valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
// valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
// valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac1 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac2;
{
// valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
// valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
// valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
// valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac2 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac3;
{
// valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
// valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
// valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
// valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac3 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac4;
{
// valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
// valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
// valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
// valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac4 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 Fac5;
{
// valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
// valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
// valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
// valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
__m128 Swp0a = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Swp0b = _mm_shuffle_ps(in[3], in[2], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp00 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Swp01 = _mm_shuffle_ps(Swp0a, Swp0a, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp02 = _mm_shuffle_ps(Swp0b, Swp0b, _MM_SHUFFLE(2, 0, 0, 0));
__m128 Swp03 = _mm_shuffle_ps(in[2], in[1], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Mul00 = _mm_mul_ps(Swp00, Swp01);
__m128 Mul01 = _mm_mul_ps(Swp02, Swp03);
Fac5 = _mm_sub_ps(Mul00, Mul01);
bool stop = true;
}
__m128 SignA = _mm_set_ps( 1.0f,-1.0f, 1.0f,-1.0f);
__m128 SignB = _mm_set_ps(-1.0f, 1.0f,-1.0f, 1.0f);
// m[1][0]
// m[0][0]
// m[0][0]
// m[0][0]
__m128 Temp0 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(0, 0, 0, 0));
__m128 Vec0 = _mm_shuffle_ps(Temp0, Temp0, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][1]
// m[0][1]
// m[0][1]
// m[0][1]
__m128 Temp1 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(1, 1, 1, 1));
__m128 Vec1 = _mm_shuffle_ps(Temp1, Temp1, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][2]
// m[0][2]
// m[0][2]
// m[0][2]
__m128 Temp2 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(2, 2, 2, 2));
__m128 Vec2 = _mm_shuffle_ps(Temp2, Temp2, _MM_SHUFFLE(2, 2, 2, 0));
// m[1][3]
// m[0][3]
// m[0][3]
// m[0][3]
__m128 Temp3 = _mm_shuffle_ps(in[1], in[0], _MM_SHUFFLE(3, 3, 3, 3));
__m128 Vec3 = _mm_shuffle_ps(Temp3, Temp3, _MM_SHUFFLE(2, 2, 2, 0));
// col0
// + (Vec1[0] * Fac0[0] - Vec2[0] * Fac1[0] + Vec3[0] * Fac2[0]),
// - (Vec1[1] * Fac0[1] - Vec2[1] * Fac1[1] + Vec3[1] * Fac2[1]),
// + (Vec1[2] * Fac0[2] - Vec2[2] * Fac1[2] + Vec3[2] * Fac2[2]),
// - (Vec1[3] * Fac0[3] - Vec2[3] * Fac1[3] + Vec3[3] * Fac2[3]),
__m128 Mul00 = _mm_mul_ps(Vec1, Fac0);
__m128 Mul01 = _mm_mul_ps(Vec2, Fac1);
__m128 Mul02 = _mm_mul_ps(Vec3, Fac2);
__m128 Sub00 = _mm_sub_ps(Mul00, Mul01);
__m128 Add00 = _mm_add_ps(Sub00, Mul02);
__m128 Inv0 = _mm_mul_ps(SignB, Add00);
// col1
// - (Vec0[0] * Fac0[0] - Vec2[0] * Fac3[0] + Vec3[0] * Fac4[0]),
// + (Vec0[0] * Fac0[1] - Vec2[1] * Fac3[1] + Vec3[1] * Fac4[1]),
// - (Vec0[0] * Fac0[2] - Vec2[2] * Fac3[2] + Vec3[2] * Fac4[2]),
// + (Vec0[0] * Fac0[3] - Vec2[3] * Fac3[3] + Vec3[3] * Fac4[3]),
__m128 Mul03 = _mm_mul_ps(Vec0, Fac0);
__m128 Mul04 = _mm_mul_ps(Vec2, Fac3);
__m128 Mul05 = _mm_mul_ps(Vec3, Fac4);
__m128 Sub01 = _mm_sub_ps(Mul03, Mul04);
__m128 Add01 = _mm_add_ps(Sub01, Mul05);
__m128 Inv1 = _mm_mul_ps(SignA, Add01);
// col2
// + (Vec0[0] * Fac1[0] - Vec1[0] * Fac3[0] + Vec3[0] * Fac5[0]),
// - (Vec0[0] * Fac1[1] - Vec1[1] * Fac3[1] + Vec3[1] * Fac5[1]),
// + (Vec0[0] * Fac1[2] - Vec1[2] * Fac3[2] + Vec3[2] * Fac5[2]),
// - (Vec0[0] * Fac1[3] - Vec1[3] * Fac3[3] + Vec3[3] * Fac5[3]),
__m128 Mul06 = _mm_mul_ps(Vec0, Fac1);
__m128 Mul07 = _mm_mul_ps(Vec1, Fac3);
__m128 Mul08 = _mm_mul_ps(Vec3, Fac5);
__m128 Sub02 = _mm_sub_ps(Mul06, Mul07);
__m128 Add02 = _mm_add_ps(Sub02, Mul08);
__m128 Inv2 = _mm_mul_ps(SignB, Add02);
// col3
// - (Vec1[0] * Fac2[0] - Vec1[0] * Fac4[0] + Vec2[0] * Fac5[0]),
// + (Vec1[0] * Fac2[1] - Vec1[1] * Fac4[1] + Vec2[1] * Fac5[1]),
// - (Vec1[0] * Fac2[2] - Vec1[2] * Fac4[2] + Vec2[2] * Fac5[2]),
// + (Vec1[0] * Fac2[3] - Vec1[3] * Fac4[3] + Vec2[3] * Fac5[3]));
__m128 Mul09 = _mm_mul_ps(Vec0, Fac2);
__m128 Mul10 = _mm_mul_ps(Vec1, Fac4);
__m128 Mul11 = _mm_mul_ps(Vec2, Fac5);
__m128 Sub03 = _mm_sub_ps(Mul09, Mul10);
__m128 Add03 = _mm_add_ps(Sub03, Mul11);
__m128 Inv3 = _mm_mul_ps(SignA, Add03);
__m128 Row0 = _mm_shuffle_ps(Inv0, Inv1, _MM_SHUFFLE(0, 0, 0, 0));
__m128 Row1 = _mm_shuffle_ps(Inv2, Inv3, _MM_SHUFFLE(0, 0, 0, 0));
__m128 Row2 = _mm_shuffle_ps(Row0, Row1, _MM_SHUFFLE(2, 0, 2, 0));
// valType Determinant = m[0][0] * Inverse[0][0]
// + m[0][1] * Inverse[1][0]
// + m[0][2] * Inverse[2][0]
// + m[0][3] * Inverse[3][0];
__m128 Det0 = _mm_dot_ps(in[0], Row2);
__m128 Rcp0 = _mm_rcp_ps(Det0);
//__m128 Rcp0 = _mm_div_ps(one, Det0);
// Inverse /= Determinant;
out[0] = _mm_mul_ps(Inv0, Rcp0);
out[1] = _mm_mul_ps(Inv1, Rcp0);
out[2] = _mm_mul_ps(Inv2, Rcp0);
out[3] = _mm_mul_ps(Inv3, Rcp0);
}
void _mm_rotate_ps(__m128 const in[4], float Angle, float const v[3], __m128 out[4])
{
float a = glm::radians(Angle);
float c = cos(a);
float s = sin(a);
glm::vec4 AxisA(v[0], v[1], v[2], float(0));
__m128 AxisB = _mm_set_ps(AxisA.w, AxisA.z, AxisA.y, AxisA.x);
__m128 AxisC = _mm_nrm_ps(AxisB);
__m128 Cos0 = _mm_set_ss(c);
__m128 CosA = _mm_shuffle_ps(Cos0, Cos0, _MM_SHUFFLE(0, 0, 0, 0));
__m128 Sin0 = _mm_set_ss(s);
__m128 SinA = _mm_shuffle_ps(Sin0, Sin0, _MM_SHUFFLE(0, 0, 0, 0));
// detail::tvec3<valType> temp = (valType(1) - c) * axis;
__m128 Temp0 = _mm_sub_ps(one, CosA);
__m128 Temp1 = _mm_mul_ps(Temp0, AxisC);
//Rotate[0][0] = c + temp[0] * axis[0];
//Rotate[0][1] = 0 + temp[0] * axis[1] + s * axis[2];
//Rotate[0][2] = 0 + temp[0] * axis[2] - s * axis[1];
__m128 Axis0 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(0, 0, 0, 0));
__m128 TmpA0 = _mm_mul_ps(Axis0, AxisC);
__m128 CosA0 = _mm_shuffle_ps(Cos0, Cos0, _MM_SHUFFLE(1, 1, 1, 0));
__m128 TmpA1 = _mm_add_ps(CosA0, TmpA0);
__m128 SinA0 = SinA;//_mm_set_ps(0.0f, s, -s, 0.0f);
__m128 TmpA2 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(3, 1, 2, 3));
__m128 TmpA3 = _mm_mul_ps(SinA0, TmpA2);
__m128 TmpA4 = _mm_add_ps(TmpA1, TmpA3);
//Rotate[1][0] = 0 + temp[1] * axis[0] - s * axis[2];
//Rotate[1][1] = c + temp[1] * axis[1];
//Rotate[1][2] = 0 + temp[1] * axis[2] + s * axis[0];
__m128 Axis1 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(1, 1, 1, 1));
__m128 TmpB0 = _mm_mul_ps(Axis1, AxisC);
__m128 CosA1 = _mm_shuffle_ps(Cos0, Cos0, _MM_SHUFFLE(1, 1, 0, 1));
__m128 TmpB1 = _mm_add_ps(CosA1, TmpB0);
__m128 SinB0 = SinA;//_mm_set_ps(-s, 0.0f, s, 0.0f);
__m128 TmpB2 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(3, 0, 3, 2));
__m128 TmpB3 = _mm_mul_ps(SinA0, TmpB2);
__m128 TmpB4 = _mm_add_ps(TmpB1, TmpB3);
//Rotate[2][0] = 0 + temp[2] * axis[0] + s * axis[1];
//Rotate[2][1] = 0 + temp[2] * axis[1] - s * axis[0];
//Rotate[2][2] = c + temp[2] * axis[2];
__m128 Axis2 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(2, 2, 2, 2));
__m128 TmpC0 = _mm_mul_ps(Axis2, AxisC);
__m128 CosA2 = _mm_shuffle_ps(Cos0, Cos0, _MM_SHUFFLE(1, 0, 1, 1));
__m128 TmpC1 = _mm_add_ps(CosA2, TmpC0);
__m128 SinC0 = SinA;//_mm_set_ps(s, -s, 0.0f, 0.0f);
__m128 TmpC2 = _mm_shuffle_ps(AxisC, AxisC, _MM_SHUFFLE(3, 3, 0, 1));
__m128 TmpC3 = _mm_mul_ps(SinA0, TmpC2);
__m128 TmpC4 = _mm_add_ps(TmpC1, TmpC3);
__m128 Result[4];
Result[0] = TmpA4;
Result[1] = TmpB4;
Result[2] = TmpC4;
Result[2] = _mm_set_ps(1, 0, 0, 0);
//detail::tmat4x4<valType> Result(detail::tmat4x4<valType>::null);
//Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2];
//Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2];
//Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2];
//Result[3] = m[3];
//return Result;
_mm_mul_ps(in, Result, out);
}

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-06-09
// Updated : 2009-06-09
// Licence : This source is under MIT License
// File : glm/core/intrinsic_vector_relational.hpp
///////////////////////////////////////////////////////////////////////////////////////////////////
#ifndef GLM_DETAIL_INTRINSIC_VECTOR_RELATIONAL_INCLUDED
#define GLM_DETAIL_INTRINSIC_VECTOR_RELATIONAL_INCLUDED
#include <xmmintrin.h>
#include <emmintrin.h>
#include "intrinsic_vector_relational.inl"
#endif//GLM_DETAIL_INTRINSIC_VECTOR_RELATIONAL_INCLUDED

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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2009-06-09
// Updated : 2009-06-09
// Licence : This source is under MIT License
// File : glm/core/intrinsic_vector_relational.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
//
//// lessThan
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type lessThan
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec2<bool>::bool_type(x.x < y.x, x.y < y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type lessThan
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec3<bool>::bool_type(x.x < y.x, x.y < y.y, x.z < y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type lessThan
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec4<bool>::bool_type(x.x < y.x, x.y < y.y, x.z < y.z, x.w < y.w);
//}
//
//// lessThanEqual
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type lessThanEqual
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec2<bool>::bool_type(x.x <= y.x, x.y <= y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type lessThanEqual
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec3<bool>::bool_type(x.x <= y.x, x.y <= y.y, x.z <= y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type lessThanEqual
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec4<bool>::bool_type(x.x <= y.x, x.y <= y.y, x.z <= y.z, x.w <= y.w);
//}
//
//// greaterThan
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type greaterThan
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec2<bool>::bool_type(x.x > y.x, x.y > y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type greaterThan
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec3<bool>::bool_type(x.x > y.x, x.y > y.y, x.z > y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type greaterThan
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec4<bool>::bool_type(x.x > y.x, x.y > y.y, x.z > y.z, x.w > y.w);
//}
//
//// greaterThanEqual
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type greaterThanEqual
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec2<bool>::bool_type(x.x >= y.x, x.y >= y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type greaterThanEqual
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec3<bool>::bool_type(x.x >= y.x, x.y >= y.y, x.z >= y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type greaterThanEqual
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint);
//
// return typename detail::tvec4<bool>::bool_type(x.x >= y.x, x.y >= y.y, x.z >= y.z, x.w >= y.w);
//}
//
//// equal
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type equal
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec2<valType>::bool_type(x.x == y.x, x.y == y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type equal
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec3<valType>::bool_type(x.x == y.x, x.y == y.y, x.z == y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type equal
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec4<valType>::bool_type(x.x == y.x, x.y == y.y, x.z == y.z, x.w == y.w);
//}
//
//// notEqual
//template <typename valType>
//inline typename detail::tvec2<valType>::bool_type notEqual
//(
// detail::tvec2<valType> const & x,
// detail::tvec2<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec2<valType>::bool_type(x.x != y.x, x.y != y.y);
//}
//
//template <typename valType>
//inline typename detail::tvec3<valType>::bool_type notEqual
//(
// detail::tvec3<valType> const & x,
// detail::tvec3<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec3<valType>::bool_type(x.x != y.x, x.y != y.y, x.z != y.z);
//}
//
//template <typename valType>
//inline typename detail::tvec4<valType>::bool_type notEqual
//(
// detail::tvec4<valType> const & x,
// detail::tvec4<valType> const & y
//)
//{
// GLM_STATIC_ASSERT(
// detail::type<valType>::is_float ||
// detail::type<valType>::is_int ||
// detail::type<valType>::is_uint ||
// detail::type<valType>::is_bool);
//
// return typename detail::tvec4<valType>::bool_type(x.x != y.x, x.y != y.y, x.z != y.z, x.w != y.w);
//}
//
//// any
//inline bool any(detail::tvec2<bool> const & x)
//{
// return x.x || x.y;
//}
//
//inline bool any(detail::tvec3<bool> const & x)
//{
// return x.x || x.y || x.z;
//}
//
//inline bool any(detail::tvec4<bool> const & x)
//{
// return x.x || x.y || x.z || x.w;
//}
//
//// all
//inline bool all(const detail::tvec2<bool>& x)
//{
// return x.x && x.y;
//}
//
//inline bool all(const detail::tvec3<bool>& x)
//{
// return x.x && x.y && x.z;
//}
//
//inline bool all(const detail::tvec4<bool>& x)
//{
// return x.x && x.y && x.z && x.w;
//}
//
//// not
//inline detail::tvec2<bool>::bool_type not_
//(
// detail::tvec2<bool> const & v
//)
//{
// return detail::tvec2<bool>::bool_type(!v.x, !v.y);
//}
//
//inline detail::tvec3<bool>::bool_type not_
//(
// detail::tvec3<bool> const & v
//)
//{
// return detail::tvec3<bool>::bool_type(!v.x, !v.y, !v.z);
//}
//
//inline detail::tvec4<bool>::bool_type not_
//(
// detail::tvec4<bool> const & v
//)
//{
// return detail::tvec4<bool>::bool_type(!v.x, !v.y, !v.z, !v.w);
//}