26 #ifndef EIGEN_MOREVECTORIZATION_MATHFUNCTIONS_H
27 #define EIGEN_MOREVECTORIZATION_MATHFUNCTIONS_H
34 template<
typename Packet>
inline static Packet pasin(Packet a) {
return std::asin(a); }
36 #ifdef EIGEN_VECTORIZE_SSE
38 template<> EIGEN_DONT_INLINE Packet4f pasin(Packet4f x)
40 _EIGEN_DECLARE_CONST_Packet4f(half, 0.5);
41 _EIGEN_DECLARE_CONST_Packet4f(minus_half, -0.5);
42 _EIGEN_DECLARE_CONST_Packet4f(3half, 1.5);
44 _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(sign_mask, 0x80000000);
46 _EIGEN_DECLARE_CONST_Packet4f(pi, 3.141592654);
47 _EIGEN_DECLARE_CONST_Packet4f(pi_over_2, 3.141592654*0.5);
49 _EIGEN_DECLARE_CONST_Packet4f(asin1, 4.2163199048E-2);
50 _EIGEN_DECLARE_CONST_Packet4f(asin2, 2.4181311049E-2);
51 _EIGEN_DECLARE_CONST_Packet4f(asin3, 4.5470025998E-2);
52 _EIGEN_DECLARE_CONST_Packet4f(asin4, 7.4953002686E-2);
53 _EIGEN_DECLARE_CONST_Packet4f(asin5, 1.6666752422E-1);
57 Packet4f sign_bit= _mm_and_ps(x, p4f_sign_mask);
65 Packet4f branch_mask= _mm_cmpgt_ps(a, p4f_half);
71 z1=pmadd(p4f_minus_half,a,p4f_half);
72 Packet4f x1=psqrt(z1);
73 Packet4f s1=pmadd(p4f_asin1, z1, p4f_asin2);
74 Packet4f s2=pmadd(s1, z1, p4f_asin3);
75 Packet4f s3=pmadd(s2,z1, p4f_asin4);
76 Packet4f s4=pmadd(s3,z1, p4f_asin5);
77 Packet4f temp=pmul(s4,z1);
80 z1=psub(p4f_pi_over_2,z1);
87 Packet4f s1=pmadd(p4f_asin1, z2, p4f_asin2);
88 Packet4f s2=pmadd(s1, z2, p4f_asin3);
89 Packet4f s3=pmadd(s2,z2, p4f_asin4);
90 Packet4f s4=pmadd(s3,z2, p4f_asin5);
91 Packet4f temp=pmul(s4,z2);
96 z1 = _mm_and_ps(branch_mask, z1);
97 z2 = _mm_andnot_ps(branch_mask, z2);
98 Packet4f z = _mm_or_ps(z1,z2);
101 return _mm_xor_ps(z, sign_bit);
104 #endif // EIGEN_VECTORIZE_SSE
110 #endif // EIGEN_MOREVECTORIZATION_MATHFUNCTIONS_H