///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 – 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the “Software”), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
/// THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref core
/// @file glm/detail/intrinsic_common.inl
/// @date 2009-06-05 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace detail{
static const __m128 GLM_VAR_USED _m128_rad_ps = _mm_set_ps1(3.141592653589793238462643383279f / 180.f);
static const __m128 GLM_VAR_USED _m128_deg_ps = _mm_set_ps1(180.f / 3.141592653589793238462643383279f);
template
GLM_FUNC_QUALIFIER matType sse_comp_mul_ps
(
__m128 const in1[4],
__m128 const in2[4],
__m128 out[4]
)
{
out[0] = _mm_mul_ps(in1[0], in2[0]);
out[1] = _mm_mul_ps(in1[1], in2[1]);
out[2] = _mm_mul_ps(in1[2], in2[2]);
out[3] = _mm_mul_ps(in1[3], in2[3]);
}
GLM_FUNC_QUALIFIER void sse_add_ps(__m128 const in1[4], __m128 const 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]);
}
}
GLM_FUNC_QUALIFIER void sse_sub_ps(__m128 const in1[4], __m128 const 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]);
}
}
GLM_FUNC_QUALIFIER __m128 sse_mul_ps(__m128 const 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;
}
GLM_FUNC_QUALIFIER __m128 sse_mul_ps(__m128 v, __m128 const 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;
}
GLM_FUNC_QUALIFIER void sse_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;
}
}
GLM_FUNC_QUALIFIER void sse_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);
}
GLM_FUNC_QUALIFIER __m128 sse_slow_det_ps(__m128 const in[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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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 = sse_dot_ps(in[0], Row2);
return Det0;
}
GLM_FUNC_QUALIFIER __m128 sse_detd_ps
(
__m128 const m[4]
)
{
// _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(
//T SubFactor00 = m[2][2] * m[3][3] – m[3][2] * m[2][3];
//T SubFactor01 = m[2][1] * m[3][3] – m[3][1] * m[2][3];
//T SubFactor02 = m[2][1] * m[3][2] – m[3][1] * m[2][2];
//T SubFactor03 = m[2][0] * m[3][3] – m[3][0] * m[2][3];
//T SubFactor04 = m[2][0] * m[3][2] – m[3][0] * m[2][2];
//T SubFactor05 = m[2][0] * m[3][1] – m[3][0] * m[2][1];
// First 2 columns
__m128 Swp2A = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[2]), _MM_SHUFFLE(0, 1, 1, 2)));
__m128 Swp3A = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[3]), _MM_SHUFFLE(3, 2, 3, 3)));
__m128 MulA = _mm_mul_ps(Swp2A, Swp3A);
// Second 2 columns
__m128 Swp2B = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[2]), _MM_SHUFFLE(3, 2, 3, 3)));
__m128 Swp3B = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[3]), _MM_SHUFFLE(0, 1, 1, 2)));
__m128 MulB = _mm_mul_ps(Swp2B, Swp3B);
// Columns subtraction
__m128 SubE = _mm_sub_ps(MulA, MulB);
// Last 2 rows
__m128 Swp2C = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[2]), _MM_SHUFFLE(0, 0, 1, 2)));
__m128 Swp3C = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[3]), _MM_SHUFFLE(1, 2, 0, 0)));
__m128 MulC = _mm_mul_ps(Swp2C, Swp3C);
__m128 SubF = _mm_sub_ps(_mm_movehl_ps(MulC, MulC), MulC);
//tvec4
// + (m[1][1] * SubFactor00 – m[1][2] * SubFactor01 + m[1][3] * SubFactor02),
// – (m[1][0] * SubFactor00 – m[1][2] * SubFactor03 + m[1][3] * SubFactor04),
// + (m[1][0] * SubFactor01 – m[1][1] * SubFactor03 + m[1][3] * SubFactor05),
// – (m[1][0] * SubFactor02 – m[1][1] * SubFactor04 + m[1][2] * SubFactor05));
__m128 SubFacA = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(SubE), _MM_SHUFFLE(2, 1, 0, 0)));
__m128 SwpFacA = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[1]), _MM_SHUFFLE(0, 0, 0, 1)));
__m128 MulFacA = _mm_mul_ps(SwpFacA, SubFacA);
__m128 SubTmpB = _mm_shuffle_ps(SubE, SubF, _MM_SHUFFLE(0, 0, 3, 1));
__m128 SubFacB = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(SubTmpB), _MM_SHUFFLE(3, 1, 1, 0)));//SubF[0], SubE[3], SubE[3], SubE[1];
__m128 SwpFacB = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[1]), _MM_SHUFFLE(1, 1, 2, 2)));
__m128 MulFacB = _mm_mul_ps(SwpFacB, SubFacB);
__m128 SubRes = _mm_sub_ps(MulFacA, MulFacB);
__m128 SubTmpC = _mm_shuffle_ps(SubE, SubF, _MM_SHUFFLE(1, 0, 2, 2));
__m128 SubFacC = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(SubTmpC), _MM_SHUFFLE(3, 3, 2, 0)));
__m128 SwpFacC = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(m[1]), _MM_SHUFFLE(2, 3, 3, 3)));
__m128 MulFacC = _mm_mul_ps(SwpFacC, SubFacC);
__m128 AddRes = _mm_add_ps(SubRes, MulFacC);
__m128 DetCof = _mm_mul_ps(AddRes, _mm_setr_ps( 1.0f,-1.0f, 1.0f,-1.0f));
//return m[0][0] * DetCof[0]
// + m[0][1] * DetCof[1]
// + m[0][2] * DetCof[2]
// + m[0][3] * DetCof[3];
return sse_dot_ps(m[0], DetCof);
}
GLM_FUNC_QUALIFIER __m128 sse_det_ps
(
__m128 const m[4]
)
{
// _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(add)
//T SubFactor00 = m[2][2] * m[3][3] – m[3][2] * m[2][3];
//T SubFactor01 = m[2][1] * m[3][3] – m[3][1] * m[2][3];
//T SubFactor02 = m[2][1] * m[3][2] – m[3][1] * m[2][2];
//T SubFactor03 = m[2][0] * m[3][3] – m[3][0] * m[2][3];
//T SubFactor04 = m[2][0] * m[3][2] – m[3][0] * m[2][2];
//T SubFactor05 = m[2][0] * m[3][1] – m[3][0] * m[2][1];
// First 2 columns
__m128 Swp2A = _mm_shuffle_ps(m[2], m[2], _MM_SHUFFLE(0, 1, 1, 2));
__m128 Swp3A = _mm_shuffle_ps(m[3], m[3], _MM_SHUFFLE(3, 2, 3, 3));
__m128 MulA = _mm_mul_ps(Swp2A, Swp3A);
// Second 2 columns
__m128 Swp2B = _mm_shuffle_ps(m[2], m[2], _MM_SHUFFLE(3, 2, 3, 3));
__m128 Swp3B = _mm_shuffle_ps(m[3], m[3], _MM_SHUFFLE(0, 1, 1, 2));
__m128 MulB = _mm_mul_ps(Swp2B, Swp3B);
// Columns subtraction
__m128 SubE = _mm_sub_ps(MulA, MulB);
// Last 2 rows
__m128 Swp2C = _mm_shuffle_ps(m[2], m[2], _MM_SHUFFLE(0, 0, 1, 2));
__m128 Swp3C = _mm_shuffle_ps(m[3], m[3], _MM_SHUFFLE(1, 2, 0, 0));
__m128 MulC = _mm_mul_ps(Swp2C, Swp3C);
__m128 SubF = _mm_sub_ps(_mm_movehl_ps(MulC, MulC), MulC);
//tvec4
// + (m[1][1] * SubFactor00 – m[1][2] * SubFactor01 + m[1][3] * SubFactor02),
// – (m[1][0] * SubFactor00 – m[1][2] * SubFactor03 + m[1][3] * SubFactor04),
// + (m[1][0] * SubFactor01 – m[1][1] * SubFactor03 + m[1][3] * SubFactor05),
// – (m[1][0] * SubFactor02 – m[1][1] * SubFactor04 + m[1][2] * SubFactor05));
__m128 SubFacA = _mm_shuffle_ps(SubE, SubE, _MM_SHUFFLE(2, 1, 0, 0));
__m128 SwpFacA = _mm_shuffle_ps(m[1], m[1], _MM_SHUFFLE(0, 0, 0, 1));
__m128 MulFacA = _mm_mul_ps(SwpFacA, SubFacA);
__m128 SubTmpB = _mm_shuffle_ps(SubE, SubF, _MM_SHUFFLE(0, 0, 3, 1));
__m128 SubFacB = _mm_shuffle_ps(SubTmpB, SubTmpB, _MM_SHUFFLE(3, 1, 1, 0));//SubF[0], SubE[3], SubE[3], SubE[1];
__m128 SwpFacB = _mm_shuffle_ps(m[1], m[1], _MM_SHUFFLE(1, 1, 2, 2));
__m128 MulFacB = _mm_mul_ps(SwpFacB, SubFacB);
__m128 SubRes = _mm_sub_ps(MulFacA, MulFacB);
__m128 SubTmpC = _mm_shuffle_ps(SubE, SubF, _MM_SHUFFLE(1, 0, 2, 2));
__m128 SubFacC = _mm_shuffle_ps(SubTmpC, SubTmpC, _MM_SHUFFLE(3, 3, 2, 0));
__m128 SwpFacC = _mm_shuffle_ps(m[1], m[1], _MM_SHUFFLE(2, 3, 3, 3));
__m128 MulFacC = _mm_mul_ps(SwpFacC, SubFacC);
__m128 AddRes = _mm_add_ps(SubRes, MulFacC);
__m128 DetCof = _mm_mul_ps(AddRes, _mm_setr_ps( 1.0f,-1.0f, 1.0f,-1.0f));
//return m[0][0] * DetCof[0]
// + m[0][1] * DetCof[1]
// + m[0][2] * DetCof[2]
// + m[0][3] * DetCof[3];
return sse_dot_ps(m[0], DetCof);
}
GLM_FUNC_QUALIFIER void sse_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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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 = sse_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);
}
GLM_FUNC_QUALIFIER void sse_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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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);
}
__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 = sse_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);
}
/*
GLM_FUNC_QUALIFIER void sse_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 = detail::sse_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));
// tvec3
__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[3] = _mm_set_ps(1, 0, 0, 0);
//tmat4x4
//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;
sse_mul_ps(in, Result, out);
}
*/
GLM_FUNC_QUALIFIER void sse_outer_ps(__m128 const & c, __m128 const & r, __m128 out[4])
{
out[0] = _mm_mul_ps(c, _mm_shuffle_ps(r, r, _MM_SHUFFLE(0, 0, 0, 0)));
out[1] = _mm_mul_ps(c, _mm_shuffle_ps(r, r, _MM_SHUFFLE(1, 1, 1, 1)));
out[2] = _mm_mul_ps(c, _mm_shuffle_ps(r, r, _MM_SHUFFLE(2, 2, 2, 2)));
out[3] = _mm_mul_ps(c, _mm_shuffle_ps(r, r, _MM_SHUFFLE(3, 3, 3, 3)));
}
}//namespace detail
}//namespace glm