26#ifndef EIGEN_MATH_FUNCTIONS_MSA_H
27#define EIGEN_MATH_FUNCTIONS_MSA_H
34EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
35plog<Packet4f>(
const Packet4f& _x) {
36 static _EIGEN_DECLARE_CONST_Packet4f(cephes_SQRTHF, 0.707106781186547524f);
37 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p0, 7.0376836292e-2f);
38 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p1, -1.1514610310e-1f);
39 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p2, 1.1676998740e-1f);
40 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p3, -1.2420140846e-1f);
41 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p4, +1.4249322787e-1f);
42 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p5, -1.6668057665e-1f);
43 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p6, +2.0000714765e-1f);
44 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p7, -2.4999993993e-1f);
45 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_p8, +3.3333331174e-1f);
46 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_q1, -2.12194440e-4f);
47 static _EIGEN_DECLARE_CONST_Packet4f(cephes_log_q2, 0.693359375f);
48 static _EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
49 static _EIGEN_DECLARE_CONST_Packet4f(1, 1.0f);
52 Packet4f zero = (Packet4f)__builtin_msa_ldi_w(0);
53 Packet4i neg_mask = __builtin_msa_fclt_w(_x, zero);
54 Packet4i zero_mask = __builtin_msa_fceq_w(_x, zero);
55 Packet4f non_neg_x_or_nan = padd(_x, (Packet4f)neg_mask);
56 Packet4f x = non_neg_x_or_nan;
60 Packet4i e_int = __builtin_msa_ftint_s_w(__builtin_msa_flog2_w(x));
62 x = __builtin_msa_fexp2_w(x, (Packet4i)__builtin_msa_nori_b((v16u8)e_int, 0));
72 Packet4f xx = padd(x, x);
73 Packet4i ge_mask = __builtin_msa_fcle_w(p4f_cephes_SQRTHF, x);
74 e_int = psub(e_int, ge_mask);
75 x = (Packet4f)__builtin_msa_bsel_v((v16u8)ge_mask, (v16u8)xx, (v16u8)x);
77 Packet4f e = __builtin_msa_ffint_s_w(e_int);
79 Packet4f x2 = pmul(x, x);
80 Packet4f x3 = pmul(x2, x);
83 y = pmadd(p4f_cephes_log_p0, x, p4f_cephes_log_p1);
84 y1 = pmadd(p4f_cephes_log_p3, x, p4f_cephes_log_p4);
85 y2 = pmadd(p4f_cephes_log_p6, x, p4f_cephes_log_p7);
86 y = pmadd(y, x, p4f_cephes_log_p2);
87 y1 = pmadd(y1, x, p4f_cephes_log_p5);
88 y2 = pmadd(y2, x, p4f_cephes_log_p8);
93 y = pmadd(e, p4f_cephes_log_q1, y);
94 x = __builtin_msa_fmsub_w(x, x2, p4f_half);
96 x = pmadd(e, p4f_cephes_log_q2, x);
112 x = __builtin_msa_fmin_w(x, non_neg_x_or_nan);
115 Packet4i neg_infs = __builtin_msa_slli_w(zero_mask, 23);
116 x = (Packet4f)__builtin_msa_bsel_v((v16u8)zero_mask, (v16u8)x, (v16u8)neg_infs);
122EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
123pexp<Packet4f>(
const Packet4f& _x) {
126 static _EIGEN_DECLARE_CONST_Packet4f(exp_lo, -128.0f);
127 static _EIGEN_DECLARE_CONST_Packet4f(exp_hi, +128.0f);
128 static _EIGEN_DECLARE_CONST_Packet4f(cephes_LOG2EF, 1.44269504088896341f);
129 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C1, 0.693359375f);
130 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C2, -2.12194440e-4f);
131 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p0, 1.9875691500e-4f);
132 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p1, 1.3981999507e-3f);
133 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p2, 8.3334519073e-3f);
134 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p3, 4.1665795894e-2f);
135 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p4, 1.6666665459e-1f);
136 static _EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p5, 5.0000001201e-1f);
137 static _EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
138 static _EIGEN_DECLARE_CONST_Packet4f(1, 1.0f);
143 x = (Packet4f)__builtin_msa_bsel_v((v16u8)__builtin_msa_fclt_w(x, p4f_exp_lo), (v16u8)x,
145 x = (Packet4f)__builtin_msa_bsel_v((v16u8)__builtin_msa_fclt_w(p4f_exp_hi, x), (v16u8)x,
149 Packet4f x2_add = (Packet4f)__builtin_msa_binsli_w((v4u32)p4f_half, (v4u32)x, 0);
150 Packet4f x2 = pmadd(x, p4f_cephes_LOG2EF, x2_add);
151 Packet4i x2_int = __builtin_msa_ftrunc_s_w(x2);
152 Packet4f x2_int_f = __builtin_msa_ffint_s_w(x2_int);
154 x = __builtin_msa_fmsub_w(x, x2_int_f, p4f_cephes_exp_C1);
155 x = __builtin_msa_fmsub_w(x, x2_int_f, p4f_cephes_exp_C2);
157 Packet4f z = pmul(x, x);
159 Packet4f y = p4f_cephes_exp_p0;
160 y = pmadd(y, x, p4f_cephes_exp_p1);
161 y = pmadd(y, x, p4f_cephes_exp_p2);
162 y = pmadd(y, x, p4f_cephes_exp_p3);
163 y = pmadd(y, x, p4f_cephes_exp_p4);
164 y = pmadd(y, x, p4f_cephes_exp_p5);
169 y = __builtin_msa_fexp2_w(y, x2_int);
175EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
176ptanh<Packet4f>(
const Packet4f& _x) {
177 static _EIGEN_DECLARE_CONST_Packet4f(tanh_tiny, 1e-4f);
178 static _EIGEN_DECLARE_CONST_Packet4f(tanh_hi, 9.0f);
180 static _EIGEN_DECLARE_CONST_Packet4f(alpha_1, 4.89352455891786e-3f);
181 static _EIGEN_DECLARE_CONST_Packet4f(alpha_3, 6.37261928875436e-4f);
182 static _EIGEN_DECLARE_CONST_Packet4f(alpha_5, 1.48572235717979e-5f);
183 static _EIGEN_DECLARE_CONST_Packet4f(alpha_7, 5.12229709037114e-8f);
184 static _EIGEN_DECLARE_CONST_Packet4f(alpha_9, -8.60467152213735e-11f);
185 static _EIGEN_DECLARE_CONST_Packet4f(alpha_11, 2.00018790482477e-13f);
186 static _EIGEN_DECLARE_CONST_Packet4f(alpha_13, -2.76076847742355e-16f);
188 static _EIGEN_DECLARE_CONST_Packet4f(beta_0, 4.89352518554385e-3f);
189 static _EIGEN_DECLARE_CONST_Packet4f(beta_2, 2.26843463243900e-3f);
190 static _EIGEN_DECLARE_CONST_Packet4f(beta_4, 1.18534705686654e-4f);
191 static _EIGEN_DECLARE_CONST_Packet4f(beta_6, 1.19825839466702e-6f);
193 Packet4f x = pabs(_x);
194 Packet4i tiny_mask = __builtin_msa_fclt_w(x, p4f_tanh_tiny);
198 x = (Packet4f)__builtin_msa_bsel_v((v16u8)__builtin_msa_fclt_w(p4f_tanh_hi, x), (v16u8)x,
202 Packet4f x2 = pmul(x, x);
205 Packet4f p = pmadd(x2, p4f_alpha_13, p4f_alpha_11);
206 p = pmadd(x2, p, p4f_alpha_9);
207 p = pmadd(x2, p, p4f_alpha_7);
208 p = pmadd(x2, p, p4f_alpha_5);
209 p = pmadd(x2, p, p4f_alpha_3);
210 p = pmadd(x2, p, p4f_alpha_1);
214 Packet4f q = pmadd(x2, p4f_beta_6, p4f_beta_4);
215 q = pmadd(x2, q, p4f_beta_2);
216 q = pmadd(x2, q, p4f_beta_0);
222 p = (Packet4f)__builtin_msa_binsli_w((v4u32)p, (v4u32)_x, 0);
225 p = (Packet4f)__builtin_msa_bsel_v((v16u8)tiny_mask, (v16u8)p, (v16u8)_x);
231Packet4f psincos_inner_msa_float(
const Packet4f& _x) {
232 static _EIGEN_DECLARE_CONST_Packet4f(sincos_max_arg, 13176795.0f);
233 static _EIGEN_DECLARE_CONST_Packet4f(minus_cephes_DP1, -0.78515625f);
234 static _EIGEN_DECLARE_CONST_Packet4f(minus_cephes_DP2, -2.4187564849853515625e-4f);
235 static _EIGEN_DECLARE_CONST_Packet4f(minus_cephes_DP3, -3.77489497744594108e-8f);
236 static _EIGEN_DECLARE_CONST_Packet4f(sincof_p0, -1.9515295891e-4f);
237 static _EIGEN_DECLARE_CONST_Packet4f(sincof_p1, 8.3321608736e-3f);
238 static _EIGEN_DECLARE_CONST_Packet4f(sincof_p2, -1.6666654611e-1f);
239 static _EIGEN_DECLARE_CONST_Packet4f(coscof_p0, 2.443315711809948e-5f);
240 static _EIGEN_DECLARE_CONST_Packet4f(coscof_p1, -1.388731625493765e-3f);
241 static _EIGEN_DECLARE_CONST_Packet4f(coscof_p2, 4.166664568298827e-2f);
242 static _EIGEN_DECLARE_CONST_Packet4f(cephes_FOPI, 1.27323954473516f);
243 static _EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
244 static _EIGEN_DECLARE_CONST_Packet4f(1, 1.0f);
246 Packet4f x = pabs(_x);
249 Packet4f zero_or_nan_if_inf = psub(_x, _x);
250 x = padd(x, zero_or_nan_if_inf);
253 Packet4i small_or_nan_mask = __builtin_msa_fcult_w(x, p4f_sincos_max_arg);
254 x = pand(x, (Packet4f)small_or_nan_mask);
257 Packet4f y = pmul(x, p4f_cephes_FOPI);
259 Packet4i y_int = __builtin_msa_ftrunc_s_w(y);
263 Packet4i y_int1 = __builtin_msa_addvi_w(y_int, 1);
264 Packet4i y_int2 = (Packet4i)__builtin_msa_bclri_w((Packet4ui)y_int1, 0);
265 y = __builtin_msa_ffint_s_w(y_int2);
268 Packet4i sign_mask = sine ? pxor(__builtin_msa_slli_w(y_int1, 29), (Packet4i)_x)
269 : __builtin_msa_slli_w(__builtin_msa_addvi_w(y_int, 3), 29);
273 Packet4i poly_mask = __builtin_msa_ceqi_w(__builtin_msa_slli_w(y_int2, 30), 0);
278 Packet4f tmp1 = pmul(y, p4f_minus_cephes_DP1);
279 Packet4f tmp2 = pmul(y, p4f_minus_cephes_DP2);
280 Packet4f tmp3 = pmul(y, p4f_minus_cephes_DP3);
287 Packet4f z = pmul(x, x);
288 y = pmadd(y, z, p4f_coscof_p1);
289 y = pmadd(y, z, p4f_coscof_p2);
292 y = __builtin_msa_fmsub_w(y, z, p4f_half);
296 Packet4f y2 = p4f_sincof_p0;
297 y2 = pmadd(y2, z, p4f_sincof_p1);
298 y2 = pmadd(y2, z, p4f_sincof_p2);
300 y2 = pmadd(y2, x, x);
303 y = sine ? (Packet4f)__builtin_msa_bsel_v((v16u8)poly_mask, (v16u8)y, (v16u8)y2)
304 : (Packet4f)__builtin_msa_bsel_v((v16u8)poly_mask, (v16u8)y2, (v16u8)y);
307 sign_mask = pxor(sign_mask, (Packet4i)y);
308 y = (Packet4f)__builtin_msa_binsli_w((v4u32)y, (v4u32)sign_mask, 0);
313EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
314psin<Packet4f>(
const Packet4f& x) {
315 return psincos_inner_msa_float<
true>(x);
319EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f
320pcos<Packet4f>(
const Packet4f& x) {
321 return psincos_inner_msa_float<
false>(x);
325EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet2d
326pexp<Packet2d>(
const Packet2d& _x) {
329 static _EIGEN_DECLARE_CONST_Packet2d(exp_lo, -1024.0);
330 static _EIGEN_DECLARE_CONST_Packet2d(exp_hi, +1024.0);
331 static _EIGEN_DECLARE_CONST_Packet2d(cephes_LOG2EF, 1.4426950408889634073599);
332 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_C1, 0.693145751953125);
333 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_C2, 1.42860682030941723212e-6);
334 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p0, 1.26177193074810590878e-4);
335 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p1, 3.02994407707441961300e-2);
336 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_p2, 9.99999999999999999910e-1);
337 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q0, 3.00198505138664455042e-6);
338 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q1, 2.52448340349684104192e-3);
339 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q2, 2.27265548208155028766e-1);
340 static _EIGEN_DECLARE_CONST_Packet2d(cephes_exp_q3, 2.00000000000000000009e0);
341 static _EIGEN_DECLARE_CONST_Packet2d(half, 0.5);
342 static _EIGEN_DECLARE_CONST_Packet2d(1, 1.0);
343 static _EIGEN_DECLARE_CONST_Packet2d(2, 2.0);
348 x = (Packet2d)__builtin_msa_bsel_v((v16u8)__builtin_msa_fclt_d(x, p2d_exp_lo), (v16u8)x,
350 x = (Packet2d)__builtin_msa_bsel_v((v16u8)__builtin_msa_fclt_d(p2d_exp_hi, x), (v16u8)x,
354 Packet2d x2_add = (Packet2d)__builtin_msa_binsli_d((v2u64)p2d_half, (v2u64)x, 0);
355 Packet2d x2 = pmadd(x, p2d_cephes_LOG2EF, x2_add);
356 Packet2l x2_long = __builtin_msa_ftrunc_s_d(x2);
357 Packet2d x2_long_d = __builtin_msa_ffint_s_d(x2_long);
359 x = __builtin_msa_fmsub_d(x, x2_long_d, p2d_cephes_exp_C1);
360 x = __builtin_msa_fmsub_d(x, x2_long_d, p2d_cephes_exp_C2);
364 Packet2d px = p2d_cephes_exp_p0;
365 px = pmadd(px, x2, p2d_cephes_exp_p1);
366 px = pmadd(px, x2, p2d_cephes_exp_p2);
369 Packet2d qx = p2d_cephes_exp_q0;
370 qx = pmadd(qx, x2, p2d_cephes_exp_q1);
371 qx = pmadd(qx, x2, p2d_cephes_exp_q2);
372 qx = pmadd(qx, x2, p2d_cephes_exp_q3);
374 x = pdiv(px, psub(qx, px));
375 x = pmadd(p2d_2, x, p2d_1);
378 x = __builtin_msa_fexp2_d(x, x2_long);
Namespace containing all symbols from the Eigen library.
Definition: Core:141