blob: 1f5cb56dfc04327be1e6762997c9b1d0f60aa6c6 [file] [log] [blame]
Anthony Barbier6ff3b192017-09-04 18:44:23 +01001/*
Michele Di Giorgiod9eaf612020-07-08 11:12:57 +01002 * Copyright (c) 2016-2020 Arm Limited.
Anthony Barbier6ff3b192017-09-04 18:44:23 +01003 *
4 * SPDX-License-Identifier: MIT
5 *
6 * Permission is hereby granted, free of charge, to any person obtaining a copy
7 * of this software and associated documentation files (the "Software"), to
8 * deal in the Software without restriction, including without limitation the
9 * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
10 * sell copies of the Software, and to permit persons to whom the Software is
11 * furnished to do so, subject to the following conditions:
12 *
13 * The above copyright notice and this permission notice shall be included in all
14 * copies or substantial portions of the Software.
15 *
16 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
17 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
18 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
19 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
20 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
21 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
22 * SOFTWARE.
23 */
SiCongLi410e21e2020-12-11 15:07:53 +000024#include "support/ToolchainSupport.h"
25
Manuel Bottinied753262019-05-15 15:30:47 +010026#include <cmath>
morgolock3155f772020-05-11 16:00:04 +010027#include <limits>
Manuel Bottinied753262019-05-15 15:30:47 +010028
Anthony Barbier6ff3b192017-09-04 18:44:23 +010029namespace arm_compute
30{
Alex Gildayc357c472018-03-21 13:54:09 +000031/** Exponent polynomial coefficients */
Anthony Barbier6ff3b192017-09-04 18:44:23 +010032const std::array<float32x4_t, 8> exp_tab =
33{
34 {
35 vdupq_n_f32(1.f),
36 vdupq_n_f32(0.0416598916054f),
37 vdupq_n_f32(0.500000596046f),
38 vdupq_n_f32(0.0014122662833f),
39 vdupq_n_f32(1.00000011921f),
40 vdupq_n_f32(0.00833693705499f),
41 vdupq_n_f32(0.166665703058f),
42 vdupq_n_f32(0.000195780929062f),
43 }
44};
45
Alex Gildayc357c472018-03-21 13:54:09 +000046/** Logarithm polynomial coefficients */
Anthony Barbier6ff3b192017-09-04 18:44:23 +010047const std::array<float32x4_t, 8> log_tab =
48{
49 {
50 vdupq_n_f32(-2.29561495781f),
51 vdupq_n_f32(-2.47071170807f),
52 vdupq_n_f32(-5.68692588806f),
53 vdupq_n_f32(-0.165253549814f),
54 vdupq_n_f32(5.17591238022f),
55 vdupq_n_f32(0.844007015228f),
56 vdupq_n_f32(4.58445882797f),
57 vdupq_n_f32(0.0141278216615f),
58 }
59};
60
Manuel Bottinied753262019-05-15 15:30:47 +010061/** Sin polynomial coefficients */
62constexpr float te_sin_coeff2 = 0.166666666666f; // 1/(2*3)
63constexpr float te_sin_coeff3 = 0.05f; // 1/(4*5)
64constexpr float te_sin_coeff4 = 0.023809523810f; // 1/(6*7)
65constexpr float te_sin_coeff5 = 0.013888888889f; // 1/(8*9)
66
Alex Gildayc357c472018-03-21 13:54:09 +000067#ifndef DOXYGEN_SKIP_THIS
Georgios Pinitasd8e765b2017-08-02 13:44:33 +010068inline float32x4_t vfloorq_f32(float32x4_t val)
69{
70 static const float32x4_t CONST_1 = vdupq_n_f32(1.f);
71
72 const int32x4_t z = vcvtq_s32_f32(val);
73 const float32x4_t r = vcvtq_f32_s32(z);
74
75 return vbslq_f32(vcgtq_f32(r, val), vsubq_f32(r, CONST_1), r);
76}
77
Usama Arif0a5a57a2019-05-23 14:20:33 +010078inline float32x4_t vroundq_rte_f32(float32x4_t val)
79{
80#ifdef __aarch64__
81 return vrndnq_f32(val);
Manuel Bottini7bb56c62019-06-26 15:17:09 +010082#else // __aarch64__
Usama Arif0a5a57a2019-05-23 14:20:33 +010083 static const float32x4_t CONST_HALF_FLOAT = vdupq_n_f32(0.5f);
Manuel Bottini7bb56c62019-06-26 15:17:09 +010084 static const float32x4_t CONST_1_FLOAT = vdupq_n_f32(1.f);
85 static const int32x4_t CONST_1_INT = vdupq_n_s32(1);
86 const float32x4_t floor_val = vfloorq_f32(val);
87 const float32x4_t diff = vsubq_f32(val, floor_val);
Usama Arif0a5a57a2019-05-23 14:20:33 +010088
89 /*
90 * Select the floor value when (diff<0.5 || (diff==0.5 && floor_val%2==0).
91 * This condition is checked by vorrq_u32(vcltq_f32(diff, CONST_HALF_FLOAT) ,vandq_u32(vceqq_f32(diff, CONST_HALF_FLOAT) , vmvnq_u32(vtstq_s32(vandq_s32(vcvtq_s32_f32(floor_val), CONST_1_INT),CONST_1_INT))))
92 */
93
Manuel Bottini7bb56c62019-06-26 15:17:09 +010094 return vbslq_f32(vorrq_u32(vcltq_f32(diff, CONST_HALF_FLOAT), vandq_u32(vceqq_f32(diff, CONST_HALF_FLOAT), vmvnq_u32(vtstq_s32(vandq_s32(vcvtq_s32_f32(floor_val), CONST_1_INT), CONST_1_INT)))),
95 floor_val, vaddq_f32(floor_val, CONST_1_FLOAT));
Usama Arif0a5a57a2019-05-23 14:20:33 +010096#endif // __aarch64__
97}
98
Georgios Pinitascdf51452017-08-31 14:21:36 +010099inline float32x2_t vinvsqrt_f32(float32x2_t x)
100{
101 float32x2_t sqrt_reciprocal = vrsqrte_f32(x);
102 sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
103 sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
104
105 return sqrt_reciprocal;
106}
107
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100108inline float32x4_t vinvsqrtq_f32(float32x4_t x)
109{
110 float32x4_t sqrt_reciprocal = vrsqrteq_f32(x);
111 sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
112 sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
113
114 return sqrt_reciprocal;
115}
116
Georgios Pinitascdf51452017-08-31 14:21:36 +0100117inline float32x2_t vinv_f32(float32x2_t x)
118{
119 float32x2_t recip = vrecpe_f32(x);
120 recip = vmul_f32(vrecps_f32(x, recip), recip);
121 recip = vmul_f32(vrecps_f32(x, recip), recip);
122 return recip;
123}
124
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100125inline float32x4_t vinvq_f32(float32x4_t x)
126{
127 float32x4_t recip = vrecpeq_f32(x);
128 recip = vmulq_f32(vrecpsq_f32(x, recip), recip);
129 recip = vmulq_f32(vrecpsq_f32(x, recip), recip);
130 return recip;
131}
132
133inline float32x4_t vtaylor_polyq_f32(float32x4_t x, const std::array<float32x4_t, 8> &coeffs)
134{
135 float32x4_t A = vmlaq_f32(coeffs[0], coeffs[4], x);
136 float32x4_t B = vmlaq_f32(coeffs[2], coeffs[6], x);
137 float32x4_t C = vmlaq_f32(coeffs[1], coeffs[5], x);
138 float32x4_t D = vmlaq_f32(coeffs[3], coeffs[7], x);
139 float32x4_t x2 = vmulq_f32(x, x);
140 float32x4_t x4 = vmulq_f32(x2, x2);
141 float32x4_t res = vmlaq_f32(vmlaq_f32(A, B, x2), vmlaq_f32(C, D, x2), x4);
142 return res;
143}
144
145inline float32x4_t vexpq_f32(float32x4_t x)
146{
Georgios Pinitasee122542017-06-26 15:54:06 +0100147 static const float32x4_t CONST_LN2 = vdupq_n_f32(0.6931471805f); // ln(2)
148 static const float32x4_t CONST_INV_LN2 = vdupq_n_f32(1.4426950408f); // 1/ln(2)
morgolock3155f772020-05-11 16:00:04 +0100149 static const float32x4_t CONST_INF = vdupq_n_f32(std::numeric_limits<float>::infinity());
150 static const float32x4_t CONST_MAX_INPUT = vdupq_n_f32(88.7f);
Georgios Pinitasee122542017-06-26 15:54:06 +0100151 static const float32x4_t CONST_0 = vdupq_n_f32(0.f);
152 static const int32x4_t CONST_NEGATIVE_126 = vdupq_n_s32(-126);
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100153
154 // Perform range reduction [-log(2),log(2)]
155 int32x4_t m = vcvtq_s32_f32(vmulq_f32(x, CONST_INV_LN2));
156 float32x4_t val = vmlsq_f32(x, vcvtq_f32_s32(m), CONST_LN2);
157
158 // Polynomial Approximation
159 float32x4_t poly = vtaylor_polyq_f32(val, exp_tab);
160
161 // Reconstruct
Georgios Pinitasee122542017-06-26 15:54:06 +0100162 poly = vreinterpretq_f32_s32(vqaddq_s32(vreinterpretq_s32_f32(poly), vqshlq_n_s32(m, 23)));
morgolock3155f772020-05-11 16:00:04 +0100163 poly = vbslq_f32(vcltq_s32(m, CONST_NEGATIVE_126), CONST_0, poly); // Handle underflow
164 poly = vbslq_f32(vcgtq_f32(x, CONST_MAX_INPUT), CONST_INF, poly); // Handle overflow
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100165
166 return poly;
167}
168
169inline float32x4_t vlogq_f32(float32x4_t x)
170{
171 static const int32x4_t CONST_127 = vdupq_n_s32(127); // 127
172 static const float32x4_t CONST_LN2 = vdupq_n_f32(0.6931471805f); // ln(2)
173
174 // Extract exponent
175 int32x4_t m = vsubq_s32(vreinterpretq_s32_u32(vshrq_n_u32(vreinterpretq_u32_f32(x), 23)), CONST_127);
176 float32x4_t val = vreinterpretq_f32_s32(vsubq_s32(vreinterpretq_s32_f32(x), vshlq_n_s32(m, 23)));
177
178 // Polynomial Approximation
179 float32x4_t poly = vtaylor_polyq_f32(val, log_tab);
180
181 // Reconstruct
182 poly = vmlaq_f32(poly, vcvtq_f32_s32(m), CONST_LN2);
183
184 return poly;
185}
186
187inline float32x4_t vtanhq_f32(float32x4_t val)
188{
189 static const float32x4_t CONST_1 = vdupq_n_f32(1.f);
190 static const float32x4_t CONST_2 = vdupq_n_f32(2.f);
191 static const float32x4_t CONST_MIN_TANH = vdupq_n_f32(-10.f);
192 static const float32x4_t CONST_MAX_TANH = vdupq_n_f32(10.f);
193
194 float32x4_t x = vminq_f32(vmaxq_f32(val, CONST_MIN_TANH), CONST_MAX_TANH);
195 float32x4_t exp2x = vexpq_f32(vmulq_f32(CONST_2, x));
196 float32x4_t num = vsubq_f32(exp2x, CONST_1);
197 float32x4_t den = vaddq_f32(exp2x, CONST_1);
198 float32x4_t tanh = vmulq_f32(num, vinvq_f32(den));
199 return tanh;
200}
201
202inline float32x4_t vpowq_f32(float32x4_t val, float32x4_t n)
203{
204 return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
205}
Manuel Bottinied753262019-05-15 15:30:47 +0100206
207inline float32x4_t vsinq_f32(float32x4_t val)
208{
209 const float32x4_t pi_v = vdupq_n_f32(M_PI);
210 const float32x4_t pio2_v = vdupq_n_f32(M_PI / 2);
211 const float32x4_t ipi_v = vdupq_n_f32(1 / M_PI);
212
213 //Find positive or negative
214 const int32x4_t c_v = vabsq_s32(vcvtq_s32_f32(vmulq_f32(val, ipi_v)));
215 const uint32x4_t sign_v = vcleq_f32(val, vdupq_n_f32(0));
216 const uint32x4_t odd_v = vandq_u32(vreinterpretq_u32_s32(c_v), vdupq_n_u32(1));
217
218 uint32x4_t neg_v = veorq_u32(odd_v, sign_v);
219
220 //Modulus a - (n * int(a*(1/n)))
221 float32x4_t ma = vsubq_f32(vabsq_f32(val), vmulq_f32(pi_v, vcvtq_f32_s32(c_v)));
222 const uint32x4_t reb_v = vcgeq_f32(ma, pio2_v);
223
224 //Rebase a between 0 and pi/2
225 ma = vbslq_f32(reb_v, vsubq_f32(pi_v, ma), ma);
226
227 //Taylor series
228 const float32x4_t ma2 = vmulq_f32(ma, ma);
229
230 //2nd elem: x^3 / 3!
231 float32x4_t elem = vmulq_f32(vmulq_f32(ma, ma2), vdupq_n_f32(te_sin_coeff2));
232 float32x4_t res = vsubq_f32(ma, elem);
233
234 //3rd elem: x^5 / 5!
235 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff3));
236 res = vaddq_f32(res, elem);
237
238 //4th elem: x^7 / 7!float32x2_t vsin_f32(float32x2_t val)
239 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff4));
240 res = vsubq_f32(res, elem);
241
242 //5th elem: x^9 / 9!
243 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff5));
244 res = vaddq_f32(res, elem);
245
246 //Change of sign
247 neg_v = vshlq_n_u32(neg_v, 31);
248 res = vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(res), neg_v));
249 return res;
250}
251
252inline float32x2_t vsin_f32(float32x2_t val)
253{
254 const float32x2_t pi_v = vdup_n_f32(M_PI);
255 const float32x2_t pio2_v = vdup_n_f32(M_PI / 2);
256 const float32x2_t ipi_v = vdup_n_f32(1 / M_PI);
257
258 //Find positive or negative
259 const int32x2_t c_v = vabs_s32(vcvt_s32_f32(vmul_f32(val, ipi_v)));
260 const uint32x2_t sign_v = vcle_f32(val, vdup_n_f32(0));
261 const uint32x2_t odd_v = vand_u32(vreinterpret_u32_s32(c_v), vdup_n_u32(1));
262
263 uint32x2_t neg_v = veor_u32(odd_v, sign_v);
264
265 //Modulus a - (n * int(a*(1/n)))
266 float32x2_t ma = vsub_f32(vabs_f32(val), vmul_f32(pi_v, vcvt_f32_s32(c_v)));
267 const uint32x2_t reb_v = vcge_f32(ma, pio2_v);
268
269 //Rebase a between 0 and pi/2
270 ma = vbsl_f32(reb_v, vsub_f32(pi_v, ma), ma);
271
272 //Taylor series
273 const float32x2_t ma2 = vmul_f32(ma, ma);
274
275 //2nd elem: x^3 / 3!
276 float32x2_t elem = vmul_f32(vmul_f32(ma, ma2), vdup_n_f32(te_sin_coeff2));
277 float32x2_t res = vsub_f32(ma, elem);
278
279 //3rd elem: x^5 / 5!
280 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff3));
281 res = vadd_f32(res, elem);
282
283 //4th elem: x^7 / 7!float32x2_t vsin_f32(float32x2_t val)
284 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff4));
285 res = vsub_f32(res, elem);
286
287 //5th elem: x^9 / 9!
288 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff5));
289 res = vadd_f32(res, elem);
290
291 //Change of sign
292 neg_v = vshl_n_u32(neg_v, 31);
293 res = vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(res), neg_v));
294 return res;
295}
296
Alex Gildayc357c472018-03-21 13:54:09 +0000297#endif /* DOXYGEN_SKIP_THIS */
298
Georgios Pinitasdbdea0d2019-10-16 19:21:40 +0100299inline int32x4_t rounding_divide_by_pow2(int32x4_t x, int32x4_t exponent)
300{
301 const int32x4_t shift_vec = vnegq_s32(exponent);
302 const int32x4_t fixup = vshrq_n_s32(vandq_s32(x, shift_vec), 31);
303 const int32x4_t fixed_up_x = vqaddq_s32(x, fixup);
304 return vrshlq_s32(fixed_up_x, shift_vec);
305}
306
Manuel Bottini7bb56c62019-06-26 15:17:09 +0100307inline int32x4_t rounding_divide_by_pow2(int32x4_t x, int exponent)
308{
309 const int32x4_t shift_vec = vdupq_n_s32(-exponent);
310 const int32x4_t fixup = vshrq_n_s32(vandq_s32(x, shift_vec), 31);
311 const int32x4_t fixed_up_x = vqaddq_s32(x, fixup);
312 return vrshlq_s32(fixed_up_x, shift_vec);
313}
314
315inline int32_t rounding_divide_by_pow2(int32_t x, int exponent)
316{
317 const int32_t mask = (1 << exponent) - 1;
318 const int32_t threshold = (mask >> 1) + (x < 0 ? 1 : 0);
319 return (x >> exponent) + ((x & mask) > threshold ? 1 : 0);
320}
321
Manuel Bottini21079dd2019-10-29 17:20:09 +0000322inline float32x4x4_t convert_uint8x16_to_float32x4x4(const uint8x16_t &in)
323{
324 float32x4x4_t out;
325
326 const auto tmp1 = vmovl_u8(vget_low_u8(in));
327 out.val[0] = vcvtq_f32_u32(vmovl_u16(vget_low_u16(tmp1)));
328 out.val[1] = vcvtq_f32_u32(vmovl_u16(vget_high_u16(tmp1)));
329
330 const auto tmp2 = vmovl_u8(vget_high_u8(in));
331 out.val[2] = vcvtq_f32_u32(vmovl_u16(vget_low_u16(tmp2)));
332 out.val[3] = vcvtq_f32_u32(vmovl_u16(vget_high_u16(tmp2)));
333 return out;
334}
335
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000336inline float32x4x4_t convert_int8x16_to_float32x4x4(const int8x16_t &in)
337{
338 float32x4x4_t out;
339
340 const auto tmp1 = vmovl_s8(vget_low_s8(in));
341 out.val[0] = vcvtq_f32_s32(vmovl_s16(vget_low_s16(tmp1)));
342 out.val[1] = vcvtq_f32_s32(vmovl_s16(vget_high_s16(tmp1)));
343
344 const auto tmp2 = vmovl_s8(vget_high_s8(in));
345 out.val[2] = vcvtq_f32_s32(vmovl_s16(vget_low_s16(tmp2)));
346 out.val[3] = vcvtq_f32_s32(vmovl_s16(vget_high_s16(tmp2)));
347 return out;
348}
349
Manuel Bottini4370cff2020-02-07 16:31:59 +0000350template <>
351inline float32x4x4_t convert_to_float32x4x4(const uint8x16_t &in)
352{
353 return convert_uint8x16_to_float32x4x4(in);
354}
355
356template <>
357inline float32x4x4_t convert_to_float32x4x4(const int8x16_t &in)
358{
359 return convert_int8x16_to_float32x4x4(in);
360}
361
Manuel Bottini21079dd2019-10-29 17:20:09 +0000362inline void convert_float32x4x3_to_uint8x8x3(const float32x4x3_t &in1, const float32x4x3_t &in2, uint8x8x3_t &out)
363{
364 out.val[0] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[0])),
365 vqmovn_u32(vcvtq_u32_f32(in2.val[0]))));
366 out.val[1] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[1])),
367 vqmovn_u32(vcvtq_u32_f32(in2.val[1]))));
368 out.val[2] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[2])),
369 vqmovn_u32(vcvtq_u32_f32(in2.val[2]))));
370}
371
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000372inline void convert_float32x4x4_to_uint8x16(const float32x4x4_t &in, uint8x16_t &out)
Manuel Bottini21079dd2019-10-29 17:20:09 +0000373{
374 const auto low = vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in.val[0])),
375 vqmovn_u32(vcvtq_u32_f32(in.val[1])));
376 const auto high = vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in.val[2])),
377 vqmovn_u32(vcvtq_u32_f32(in.val[3])));
378 out = vcombine_u8(vqmovn_u16(low), vqmovn_u16(high));
379}
380
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000381inline void convert_float32x4x4_to_int8x16(const float32x4x4_t &in, int8x16_t &out)
382{
383 const auto low = vcombine_s16(vqmovn_s32(vcvtq_s32_f32(in.val[0])),
384 vqmovn_s32(vcvtq_s32_f32(in.val[1])));
385 const auto high = vcombine_s16(vqmovn_s32(vcvtq_s32_f32(in.val[2])),
386 vqmovn_s32(vcvtq_s32_f32(in.val[3])));
387 out = vcombine_s8(vqmovn_s16(low), vqmovn_s16(high));
388}
389
Ioan-Cristian Szabo5edbd1c2017-11-13 13:34:08 +0000390#ifdef __ARM_FEATURE_FP16_VECTOR_ARITHMETIC
Alex Gildayc357c472018-03-21 13:54:09 +0000391/** Exponent polynomial coefficients */
Alex Gildayc357c472018-03-21 13:54:09 +0000392/** Logarithm polynomial coefficients */
Alex Gildayc357c472018-03-21 13:54:09 +0000393#ifndef DOXYGEN_SKIP_THIS
Georgios Pinitas565bf2d2018-08-31 11:46:49 +0100394inline float16x8_t vfloorq_f16(float16x8_t val)
395{
396 static const float16x8_t CONST_1 = vdupq_n_f16(1.f);
397
398 const int16x8_t z = vcvtq_s16_f16(val);
399 const float16x8_t r = vcvtq_f16_s16(z);
400
401 return vbslq_f16(vcgtq_f16(r, val), vsubq_f16(r, CONST_1), r);
402}
Usama Arif0a5a57a2019-05-23 14:20:33 +0100403
404inline float16x8_t vroundq_rte_f16(float16x8_t val)
405{
406 return vrndnq_f16(val);
407}
408
Georgios Pinitascdf51452017-08-31 14:21:36 +0100409inline float16x4_t vinvsqrt_f16(float16x4_t x)
410{
411 float16x4_t sqrt_reciprocal = vrsqrte_f16(x);
412 sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
413 sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
414 return sqrt_reciprocal;
415}
416
Pablo Tello91654c42017-07-05 11:32:17 +0100417inline float16x8_t vinvsqrtq_f16(float16x8_t x)
418{
419 float16x8_t sqrt_reciprocal = vrsqrteq_f16(x);
420 sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
421 sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
Pablo Tello91654c42017-07-05 11:32:17 +0100422 return sqrt_reciprocal;
423}
Pablo Tellodf246182017-07-03 16:25:09 +0100424
Georgios Pinitascdf51452017-08-31 14:21:36 +0100425inline float16x4_t vinv_f16(float16x4_t x)
426{
427 float16x4_t recip = vrecpe_f16(x);
428 recip = vmul_f16(vrecps_f16(x, recip), recip);
429 recip = vmul_f16(vrecps_f16(x, recip), recip);
430 return recip;
431}
432
Pablo Tellodf246182017-07-03 16:25:09 +0100433inline float16x8_t vinvq_f16(float16x8_t x)
434{
435 float16x8_t recip = vrecpeq_f16(x);
436 recip = vmulq_f16(vrecpsq_f16(x, recip), recip);
437 recip = vmulq_f16(vrecpsq_f16(x, recip), recip);
438 return recip;
439}
440
Pablo Tello91654c42017-07-05 11:32:17 +0100441inline float16x8_t vtanhq_f16(float16x8_t val)
442{
443 const float16x8_t CONST_1 = vdupq_n_f16(1.f);
444 const float16x8_t CONST_2 = vdupq_n_f16(2.f);
445 const float16x8_t CONST_MIN_TANH = vdupq_n_f16(-10.f);
446 const float16x8_t CONST_MAX_TANH = vdupq_n_f16(10.f);
447
448 const float16x8_t x = vminq_f16(vmaxq_f16(val, CONST_MIN_TANH), CONST_MAX_TANH);
449 const float16x8_t exp2x = vexpq_f16(vmulq_f16(CONST_2, x));
450 const float16x8_t num = vsubq_f16(exp2x, CONST_1);
451 const float16x8_t den = vaddq_f16(exp2x, CONST_1);
452 const float16x8_t tanh = vmulq_f16(num, vinvq_f16(den));
453 return tanh;
454}
455
Pablo Tellodf246182017-07-03 16:25:09 +0100456inline float16x8_t vtaylor_polyq_f16(float16x8_t x, const std::array<float16x8_t, 8> &coeffs)
457{
458 const float16x8_t A = vaddq_f16(coeffs[0], vmulq_f16(coeffs[4], x));
459 const float16x8_t B = vaddq_f16(coeffs[2], vmulq_f16(coeffs[6], x));
460 const float16x8_t C = vaddq_f16(coeffs[1], vmulq_f16(coeffs[5], x));
461 const float16x8_t D = vaddq_f16(coeffs[3], vmulq_f16(coeffs[7], x));
462 const float16x8_t x2 = vmulq_f16(x, x);
463 const float16x8_t x4 = vmulq_f16(x2, x2);
464 const float16x8_t res = vaddq_f16(vaddq_f16(A, vmulq_f16(B, x2)), vmulq_f16(vaddq_f16(C, vmulq_f16(D, x2)), x4));
465 return res;
466}
467
468inline float16x8_t vexpq_f16(float16x8_t x)
469{
Michele Di Giorgio1c948d42018-11-20 16:03:01 +0000470 // TODO (COMPMID-1535) : Revisit FP16 approximations
471 const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x));
472 const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x));
Anthony Barbier3a6163e2018-08-10 17:36:36 +0100473
Georgios Pinitasf2cdce32019-12-09 18:35:57 +0000474 const float16x8_t res = vcombine_f16(vcvt_f16_f32(vexpq_f32(x_low)), vcvt_f16_f32(vexpq_f32(x_high)));
Michele Di Giorgio1c948d42018-11-20 16:03:01 +0000475 return res;
Pablo Tellodf246182017-07-03 16:25:09 +0100476}
477
478inline float16x8_t vlogq_f16(float16x8_t x)
479{
Georgios Pinitas5a594532018-12-03 14:30:05 +0000480 // TODO (COMPMID-1535) : Revisit FP16 approximations
481 const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x));
482 const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x));
Anthony Barbier3a6163e2018-08-10 17:36:36 +0100483
Georgios Pinitasf2cdce32019-12-09 18:35:57 +0000484 const float16x8_t res = vcombine_f16(vcvt_f16_f32(vlogq_f32(x_low)), vcvt_f16_f32(vlogq_f32(x_high)));
Georgios Pinitas5a594532018-12-03 14:30:05 +0000485 return res;
Pablo Tellodf246182017-07-03 16:25:09 +0100486}
487
488inline float16x8_t vpowq_f16(float16x8_t val, float16x8_t n)
489{
Gian Marco Iodicef2cde9b2018-08-23 15:29:16 +0100490 // TODO (giaiod01) - COMPMID-1535
491 float32x4_t n0_f32 = vcvt_f32_f16(vget_low_f16(n));
492 float32x4_t n1_f32 = vcvt_f32_f16(vget_high_f16(n));
493 float32x4_t val0_f32 = vcvt_f32_f16(vget_low_f16(val));
494 float32x4_t val1_f32 = vcvt_f32_f16(vget_high_f16(val));
495
496 float32x4_t res0_f32 = vexpq_f32(vmulq_f32(n0_f32, vlogq_f32(val0_f32)));
497 float32x4_t res1_f32 = vexpq_f32(vmulq_f32(n1_f32, vlogq_f32(val1_f32)));
498
499 return vcombine_f16(vcvt_f16_f32(res0_f32), vcvt_f16_f32(res1_f32));
Pablo Tellodf246182017-07-03 16:25:09 +0100500}
Manuel Bottinied753262019-05-15 15:30:47 +0100501
502inline float16x8_t vsinq_f16(float16x8_t val)
503{
504 const float32x4_t val_high = vcvt_f32_f16(vget_high_f16(val));
505 const float32x4_t val_low = vcvt_f32_f16(vget_low_f16(val));
506
507 const float32x4_t res_high = vsinq_f32(val_high);
508 const float32x4_t res_low = vsinq_f32(val_low);
509
510 return vcombine_f16(vcvt_f16_f32(res_low), vcvt_f16_f32(res_high));
511}
512
513inline float16x4_t vsin_f16(float16x4_t val)
514{
515 const float32x4_t val_f32 = vcvt_f32_f16(val);
516 const float32x2_t val_high = vget_high_f32(val_f32);
517 const float32x2_t val_low = vget_low_f32(val_f32);
518
519 const float32x2_t res_high = vsin_f32(val_high);
520 const float32x2_t res_low = vsin_f32(val_low);
521
522 return vcvt_f16_f32(vcombine_f32(res_low, res_high));
523}
524
Alex Gildayc357c472018-03-21 13:54:09 +0000525#endif /* DOXYGEN_SKIP_THIS */
Ioan-Cristian Szabo5edbd1c2017-11-13 13:34:08 +0000526#endif /* __ARM_FEATURE_FP16_VECTOR_ARITHMETIC */
Gian Marco Iodice356f6432017-09-22 11:32:21 +0100527} // namespace arm_compute