16#ifndef EIGEN_MATH_FUNCTIONS_ALTIVEC_H
17#define EIGEN_MATH_FUNCTIONS_ALTIVEC_H
23#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
24static _EIGEN_DECLARE_CONST_Packet4f(1 , 1.0f);
25static _EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
26static _EIGEN_DECLARE_CONST_Packet4i(0x7f, 0x7f);
27static _EIGEN_DECLARE_CONST_Packet4i(23, 23);
29static _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(inv_mant_mask, ~0x7f800000);
32static _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(min_norm_pos, 0x00800000);
33static _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(minus_inf, 0xff800000);
34static _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(minus_nan, 0xffffffff);
39static _EIGEN_DECLARE_CONST_Packet4f(cephes_SQRTHF, 0.707106781186547524f);
40static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p0, 7.0376836292E-2f);
41static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p1, - 1.1514610310E-1f);
42static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p2, 1.1676998740E-1f);
43static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p3, - 1.2420140846E-1f);
44static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p4, + 1.4249322787E-1f);
45static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p5, - 1.6668057665E-1f);
46static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p6, + 2.0000714765E-1f);
47static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p7, - 2.4999993993E-1f);
48static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p8, + 3.3333331174E-1f);
49static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_q1, -2.12194440e-4f);
50static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_q2, 0.693359375f);
52static _EIGEN_DECLARE_CONST_Packet4f(exp_hi, 88.3762626647950f);
53static _EIGEN_DECLARE_CONST_Packet4f(exp_lo, -88.3762626647949f);
55static _EIGEN_DECLARE_CONST_Packet4f(cephes_LOG2EF, 1.44269504088896341f);
56static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C1, 0.693359375f);
57static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C2, -2.12194440e-4f);
59static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p0, 1.9875691500E-4f);
60static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p1, 1.3981999507E-3f);
61static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p2, 8.3334519073E-3f);
62static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p3, 4.1665795894E-2f);
63static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p4, 1.6666665459E-1f);
64static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p5, 5.0000001201E-1f);
67static _EIGEN_DECLARE_CONST_Packet2d(1 , 1.0);
68static _EIGEN_DECLARE_CONST_Packet2d(2 , 2.0);
69static _EIGEN_DECLARE_CONST_Packet2d(half, 0.5);
71static _EIGEN_DECLARE_CONST_Packet2d(exp_hi, 709.437);
72static _EIGEN_DECLARE_CONST_Packet2d(exp_lo, -709.436139303);
74static _EIGEN_DECLARE_CONST_Packet2d(cephes_LOG2EF, 1.4426950408889634073599);
76static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p0, 1.26177193074810590878e-4);
77static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p1, 3.02994407707441961300e-2);
78static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p2, 9.99999999999999999910e-1);
80static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q0, 3.00198505138664455042e-6);
81static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q1, 2.52448340349684104192e-3);
82static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q2, 2.27265548208155028766e-1);
83static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q3, 2.00000000000000000009e0);
85static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_C1, 0.693145751953125);
86static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_C2, 1.42860682030941723212e-6);
88template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
89Packet2d pexp<Packet2d>(
const Packet2d& _x)
97 x = pmax(pmin(x, p2d_exp_hi), p2d_exp_lo);
99 fx = pmadd(p2d_cephes_LOG2EF, x, p2d_half);
103 tmp = pmul(fx, p2d_cephes_exp_C1);
104 Packet2d z = pmul(fx, p2d_cephes_exp_C2);
108 Packet2d x2 = pmul(x,x);
110 Packet2d px = p2d_cephes_exp_p0;
111 px = pmadd(px, x2, p2d_cephes_exp_p1);
112 px = pmadd(px, x2, p2d_cephes_exp_p2);
115 Packet2d qx = p2d_cephes_exp_q0;
116 qx = pmadd(qx, x2, p2d_cephes_exp_q1);
117 qx = pmadd(qx, x2, p2d_cephes_exp_q2);
118 qx = pmadd(qx, x2, p2d_cephes_exp_q3);
120 x = pdiv(px,psub(qx,px));
121 x = pmadd(p2d_2,x,p2d_1);
124 emm0 = vec_ctsl(fx, 0);
126 static const Packet2l p2l_1023 = { 1023, 1023 };
127 static const Packet2ul p2ul_52 = { 52, 52 };
129 emm0 = emm0 + p2l_1023;
130 emm0 = emm0 << reinterpret_cast<Packet2l>(p2ul_52);
134 Packet2ul isnumber_mask =
reinterpret_cast<Packet2ul
>(vec_cmpeq(_x, _x));
135 return vec_sel(_x, pmax(pmul(x,
reinterpret_cast<Packet2d
>(emm0)), _x),
139template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
140Packet4f pexp<Packet4f>(
const Packet4f& _x)
142#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
149 x = pmax(pmin(x, p4f_exp_hi), p4f_exp_lo);
152 fx = pmadd(x, p4f_cephes_LOG2EF, p4f_half);
156 tmp = pmul(fx, p4f_cephes_exp_C1);
157 Packet4f z = pmul(fx, p4f_cephes_exp_C2);
163 Packet4f y = p4f_cephes_exp_p0;
164 y = pmadd(y, x, p4f_cephes_exp_p1);
165 y = pmadd(y, x, p4f_cephes_exp_p2);
166 y = pmadd(y, x, p4f_cephes_exp_p3);
167 y = pmadd(y, x, p4f_cephes_exp_p4);
168 y = pmadd(y, x, p4f_cephes_exp_p5);
173 emm0 = (Packet4i){ (int)fx[0], (
int)fx[1], (int)fx[2], (
int)fx[3] };
174 emm0 = emm0 + p4i_0x7f;
175 emm0 = emm0 << reinterpret_cast<Packet4i>(p4i_23);
177 return pmax(pmul(y,
reinterpret_cast<Packet4f
>(emm0)), _x);
180 res.v4f[0] = pexp<Packet2d>(_x.v4f[0]);
181 res.v4f[1] = pexp<Packet2d>(_x.v4f[1]);
186template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
187Packet2d psqrt<Packet2d>(
const Packet2d& x)
192template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
193Packet4f psqrt<Packet4f>(
const Packet4f& x)
196#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
199 res.v4f[0] = psqrt<Packet2d>(x.v4f[0]);
200 res.v4f[1] = psqrt<Packet2d>(x.v4f[1]);
205template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
206Packet2d prsqrt<Packet2d>(
const Packet2d& x) {
207 return pset1<Packet2d>(1.0) / psqrt<Packet2d>(x);
210template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
211Packet4f prsqrt<Packet4f>(
const Packet4f& x) {
213#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
214 res = pset1<Packet4f>(1.0) / psqrt<Packet4f>(x);
216 res.v4f[0] = prsqrt<Packet2d>(x.v4f[0]);
217 res.v4f[1] = prsqrt<Packet2d>(x.v4f[1]);
224EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
225ptanh<Packet4f>(
const Packet4f& x) {
226 return internal::generic_fast_tanh_float(x);
Namespace containing all symbols from the Eigen library.
Definition: Core:141