blob: 5d8b82c28177dfc6440d84ad6727028733682548 [file] [log] [blame]
Anthony Barbier6ff3b192017-09-04 18:44:23 +01001/*
Georgios Pinitas5a594532018-12-03 14:30:05 +00002 * Copyright (c) 2016-2019 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 */
Manuel Bottinied753262019-05-15 15:30:47 +010024#include <cmath>
25
Georgios Pinitase874ef92019-09-09 17:40:33 +010026#ifndef M_PI
27#define M_PI (3.14159265358979323846)
28#endif // M_PI
29
Anthony Barbier6ff3b192017-09-04 18:44:23 +010030namespace arm_compute
31{
Alex Gildayc357c472018-03-21 13:54:09 +000032/** Exponent polynomial coefficients */
Anthony Barbier6ff3b192017-09-04 18:44:23 +010033const std::array<float32x4_t, 8> exp_tab =
34{
35 {
36 vdupq_n_f32(1.f),
37 vdupq_n_f32(0.0416598916054f),
38 vdupq_n_f32(0.500000596046f),
39 vdupq_n_f32(0.0014122662833f),
40 vdupq_n_f32(1.00000011921f),
41 vdupq_n_f32(0.00833693705499f),
42 vdupq_n_f32(0.166665703058f),
43 vdupq_n_f32(0.000195780929062f),
44 }
45};
46
Alex Gildayc357c472018-03-21 13:54:09 +000047/** Logarithm polynomial coefficients */
Anthony Barbier6ff3b192017-09-04 18:44:23 +010048const std::array<float32x4_t, 8> log_tab =
49{
50 {
51 vdupq_n_f32(-2.29561495781f),
52 vdupq_n_f32(-2.47071170807f),
53 vdupq_n_f32(-5.68692588806f),
54 vdupq_n_f32(-0.165253549814f),
55 vdupq_n_f32(5.17591238022f),
56 vdupq_n_f32(0.844007015228f),
57 vdupq_n_f32(4.58445882797f),
58 vdupq_n_f32(0.0141278216615f),
59 }
60};
61
Manuel Bottinied753262019-05-15 15:30:47 +010062/** Sin polynomial coefficients */
63constexpr float te_sin_coeff2 = 0.166666666666f; // 1/(2*3)
64constexpr float te_sin_coeff3 = 0.05f; // 1/(4*5)
65constexpr float te_sin_coeff4 = 0.023809523810f; // 1/(6*7)
66constexpr float te_sin_coeff5 = 0.013888888889f; // 1/(8*9)
67
Alex Gildayc357c472018-03-21 13:54:09 +000068#ifndef DOXYGEN_SKIP_THIS
Georgios Pinitasd8e765b2017-08-02 13:44:33 +010069inline float32x4_t vfloorq_f32(float32x4_t val)
70{
71 static const float32x4_t CONST_1 = vdupq_n_f32(1.f);
72
73 const int32x4_t z = vcvtq_s32_f32(val);
74 const float32x4_t r = vcvtq_f32_s32(z);
75
76 return vbslq_f32(vcgtq_f32(r, val), vsubq_f32(r, CONST_1), r);
77}
78
Usama Arif0a5a57a2019-05-23 14:20:33 +010079inline float32x4_t vroundq_rte_f32(float32x4_t val)
80{
81#ifdef __aarch64__
82 return vrndnq_f32(val);
Manuel Bottini7bb56c62019-06-26 15:17:09 +010083#else // __aarch64__
Usama Arif0a5a57a2019-05-23 14:20:33 +010084 static const float32x4_t CONST_HALF_FLOAT = vdupq_n_f32(0.5f);
Manuel Bottini7bb56c62019-06-26 15:17:09 +010085 static const float32x4_t CONST_1_FLOAT = vdupq_n_f32(1.f);
86 static const int32x4_t CONST_1_INT = vdupq_n_s32(1);
87 const float32x4_t floor_val = vfloorq_f32(val);
88 const float32x4_t diff = vsubq_f32(val, floor_val);
Usama Arif0a5a57a2019-05-23 14:20:33 +010089
90 /*
91 * Select the floor value when (diff<0.5 || (diff==0.5 && floor_val%2==0).
92 * 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))))
93 */
94
Manuel Bottini7bb56c62019-06-26 15:17:09 +010095 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)))),
96 floor_val, vaddq_f32(floor_val, CONST_1_FLOAT));
Usama Arif0a5a57a2019-05-23 14:20:33 +010097#endif // __aarch64__
98}
99
Georgios Pinitascdf51452017-08-31 14:21:36 +0100100inline float32x2_t vinvsqrt_f32(float32x2_t x)
101{
102 float32x2_t sqrt_reciprocal = vrsqrte_f32(x);
103 sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
104 sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
105
106 return sqrt_reciprocal;
107}
108
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100109inline float32x4_t vinvsqrtq_f32(float32x4_t x)
110{
111 float32x4_t sqrt_reciprocal = vrsqrteq_f32(x);
112 sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
113 sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
114
115 return sqrt_reciprocal;
116}
117
Georgios Pinitascdf51452017-08-31 14:21:36 +0100118inline float32x2_t vinv_f32(float32x2_t x)
119{
120 float32x2_t recip = vrecpe_f32(x);
121 recip = vmul_f32(vrecps_f32(x, recip), recip);
122 recip = vmul_f32(vrecps_f32(x, recip), recip);
123 return recip;
124}
125
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100126inline float32x4_t vinvq_f32(float32x4_t x)
127{
128 float32x4_t recip = vrecpeq_f32(x);
129 recip = vmulq_f32(vrecpsq_f32(x, recip), recip);
130 recip = vmulq_f32(vrecpsq_f32(x, recip), recip);
131 return recip;
132}
133
134inline float32x4_t vtaylor_polyq_f32(float32x4_t x, const std::array<float32x4_t, 8> &coeffs)
135{
136 float32x4_t A = vmlaq_f32(coeffs[0], coeffs[4], x);
137 float32x4_t B = vmlaq_f32(coeffs[2], coeffs[6], x);
138 float32x4_t C = vmlaq_f32(coeffs[1], coeffs[5], x);
139 float32x4_t D = vmlaq_f32(coeffs[3], coeffs[7], x);
140 float32x4_t x2 = vmulq_f32(x, x);
141 float32x4_t x4 = vmulq_f32(x2, x2);
142 float32x4_t res = vmlaq_f32(vmlaq_f32(A, B, x2), vmlaq_f32(C, D, x2), x4);
143 return res;
144}
145
146inline float32x4_t vexpq_f32(float32x4_t x)
147{
Georgios Pinitasee122542017-06-26 15:54:06 +0100148 static const float32x4_t CONST_LN2 = vdupq_n_f32(0.6931471805f); // ln(2)
149 static const float32x4_t CONST_INV_LN2 = vdupq_n_f32(1.4426950408f); // 1/ln(2)
150 static const float32x4_t CONST_0 = vdupq_n_f32(0.f);
151 static const int32x4_t CONST_NEGATIVE_126 = vdupq_n_s32(-126);
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100152
153 // Perform range reduction [-log(2),log(2)]
154 int32x4_t m = vcvtq_s32_f32(vmulq_f32(x, CONST_INV_LN2));
155 float32x4_t val = vmlsq_f32(x, vcvtq_f32_s32(m), CONST_LN2);
156
157 // Polynomial Approximation
158 float32x4_t poly = vtaylor_polyq_f32(val, exp_tab);
159
160 // Reconstruct
Georgios Pinitasee122542017-06-26 15:54:06 +0100161 poly = vreinterpretq_f32_s32(vqaddq_s32(vreinterpretq_s32_f32(poly), vqshlq_n_s32(m, 23)));
162 poly = vbslq_f32(vcltq_s32(m, CONST_NEGATIVE_126), CONST_0, poly);
Anthony Barbier6ff3b192017-09-04 18:44:23 +0100163
164 return poly;
165}
166
167inline float32x4_t vlogq_f32(float32x4_t x)
168{
169 static const int32x4_t CONST_127 = vdupq_n_s32(127); // 127
170 static const float32x4_t CONST_LN2 = vdupq_n_f32(0.6931471805f); // ln(2)
171
172 // Extract exponent
173 int32x4_t m = vsubq_s32(vreinterpretq_s32_u32(vshrq_n_u32(vreinterpretq_u32_f32(x), 23)), CONST_127);
174 float32x4_t val = vreinterpretq_f32_s32(vsubq_s32(vreinterpretq_s32_f32(x), vshlq_n_s32(m, 23)));
175
176 // Polynomial Approximation
177 float32x4_t poly = vtaylor_polyq_f32(val, log_tab);
178
179 // Reconstruct
180 poly = vmlaq_f32(poly, vcvtq_f32_s32(m), CONST_LN2);
181
182 return poly;
183}
184
185inline float32x4_t vtanhq_f32(float32x4_t val)
186{
187 static const float32x4_t CONST_1 = vdupq_n_f32(1.f);
188 static const float32x4_t CONST_2 = vdupq_n_f32(2.f);
189 static const float32x4_t CONST_MIN_TANH = vdupq_n_f32(-10.f);
190 static const float32x4_t CONST_MAX_TANH = vdupq_n_f32(10.f);
191
192 float32x4_t x = vminq_f32(vmaxq_f32(val, CONST_MIN_TANH), CONST_MAX_TANH);
193 float32x4_t exp2x = vexpq_f32(vmulq_f32(CONST_2, x));
194 float32x4_t num = vsubq_f32(exp2x, CONST_1);
195 float32x4_t den = vaddq_f32(exp2x, CONST_1);
196 float32x4_t tanh = vmulq_f32(num, vinvq_f32(den));
197 return tanh;
198}
199
200inline float32x4_t vpowq_f32(float32x4_t val, float32x4_t n)
201{
202 return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
203}
Manuel Bottinied753262019-05-15 15:30:47 +0100204
205inline float32x4_t vsinq_f32(float32x4_t val)
206{
207 const float32x4_t pi_v = vdupq_n_f32(M_PI);
208 const float32x4_t pio2_v = vdupq_n_f32(M_PI / 2);
209 const float32x4_t ipi_v = vdupq_n_f32(1 / M_PI);
210
211 //Find positive or negative
212 const int32x4_t c_v = vabsq_s32(vcvtq_s32_f32(vmulq_f32(val, ipi_v)));
213 const uint32x4_t sign_v = vcleq_f32(val, vdupq_n_f32(0));
214 const uint32x4_t odd_v = vandq_u32(vreinterpretq_u32_s32(c_v), vdupq_n_u32(1));
215
216 uint32x4_t neg_v = veorq_u32(odd_v, sign_v);
217
218 //Modulus a - (n * int(a*(1/n)))
219 float32x4_t ma = vsubq_f32(vabsq_f32(val), vmulq_f32(pi_v, vcvtq_f32_s32(c_v)));
220 const uint32x4_t reb_v = vcgeq_f32(ma, pio2_v);
221
222 //Rebase a between 0 and pi/2
223 ma = vbslq_f32(reb_v, vsubq_f32(pi_v, ma), ma);
224
225 //Taylor series
226 const float32x4_t ma2 = vmulq_f32(ma, ma);
227
228 //2nd elem: x^3 / 3!
229 float32x4_t elem = vmulq_f32(vmulq_f32(ma, ma2), vdupq_n_f32(te_sin_coeff2));
230 float32x4_t res = vsubq_f32(ma, elem);
231
232 //3rd elem: x^5 / 5!
233 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff3));
234 res = vaddq_f32(res, elem);
235
236 //4th elem: x^7 / 7!float32x2_t vsin_f32(float32x2_t val)
237 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff4));
238 res = vsubq_f32(res, elem);
239
240 //5th elem: x^9 / 9!
241 elem = vmulq_f32(vmulq_f32(elem, ma2), vdupq_n_f32(te_sin_coeff5));
242 res = vaddq_f32(res, elem);
243
244 //Change of sign
245 neg_v = vshlq_n_u32(neg_v, 31);
246 res = vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(res), neg_v));
247 return res;
248}
249
250inline float32x2_t vsin_f32(float32x2_t val)
251{
252 const float32x2_t pi_v = vdup_n_f32(M_PI);
253 const float32x2_t pio2_v = vdup_n_f32(M_PI / 2);
254 const float32x2_t ipi_v = vdup_n_f32(1 / M_PI);
255
256 //Find positive or negative
257 const int32x2_t c_v = vabs_s32(vcvt_s32_f32(vmul_f32(val, ipi_v)));
258 const uint32x2_t sign_v = vcle_f32(val, vdup_n_f32(0));
259 const uint32x2_t odd_v = vand_u32(vreinterpret_u32_s32(c_v), vdup_n_u32(1));
260
261 uint32x2_t neg_v = veor_u32(odd_v, sign_v);
262
263 //Modulus a - (n * int(a*(1/n)))
264 float32x2_t ma = vsub_f32(vabs_f32(val), vmul_f32(pi_v, vcvt_f32_s32(c_v)));
265 const uint32x2_t reb_v = vcge_f32(ma, pio2_v);
266
267 //Rebase a between 0 and pi/2
268 ma = vbsl_f32(reb_v, vsub_f32(pi_v, ma), ma);
269
270 //Taylor series
271 const float32x2_t ma2 = vmul_f32(ma, ma);
272
273 //2nd elem: x^3 / 3!
274 float32x2_t elem = vmul_f32(vmul_f32(ma, ma2), vdup_n_f32(te_sin_coeff2));
275 float32x2_t res = vsub_f32(ma, elem);
276
277 //3rd elem: x^5 / 5!
278 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff3));
279 res = vadd_f32(res, elem);
280
281 //4th elem: x^7 / 7!float32x2_t vsin_f32(float32x2_t val)
282 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff4));
283 res = vsub_f32(res, elem);
284
285 //5th elem: x^9 / 9!
286 elem = vmul_f32(vmul_f32(elem, ma2), vdup_n_f32(te_sin_coeff5));
287 res = vadd_f32(res, elem);
288
289 //Change of sign
290 neg_v = vshl_n_u32(neg_v, 31);
291 res = vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(res), neg_v));
292 return res;
293}
294
Alex Gildayc357c472018-03-21 13:54:09 +0000295#endif /* DOXYGEN_SKIP_THIS */
296
Georgios Pinitasdbdea0d2019-10-16 19:21:40 +0100297inline int32x4_t rounding_divide_by_pow2(int32x4_t x, int32x4_t exponent)
298{
299 const int32x4_t shift_vec = vnegq_s32(exponent);
300 const int32x4_t fixup = vshrq_n_s32(vandq_s32(x, shift_vec), 31);
301 const int32x4_t fixed_up_x = vqaddq_s32(x, fixup);
302 return vrshlq_s32(fixed_up_x, shift_vec);
303}
304
Manuel Bottini7bb56c62019-06-26 15:17:09 +0100305inline int32x4_t rounding_divide_by_pow2(int32x4_t x, int exponent)
306{
307 const int32x4_t shift_vec = vdupq_n_s32(-exponent);
308 const int32x4_t fixup = vshrq_n_s32(vandq_s32(x, shift_vec), 31);
309 const int32x4_t fixed_up_x = vqaddq_s32(x, fixup);
310 return vrshlq_s32(fixed_up_x, shift_vec);
311}
312
313inline int32_t rounding_divide_by_pow2(int32_t x, int exponent)
314{
315 const int32_t mask = (1 << exponent) - 1;
316 const int32_t threshold = (mask >> 1) + (x < 0 ? 1 : 0);
317 return (x >> exponent) + ((x & mask) > threshold ? 1 : 0);
318}
319
Manuel Bottini21079dd2019-10-29 17:20:09 +0000320inline float32x4x4_t convert_uint8x16_to_float32x4x4(const uint8x16_t &in)
321{
322 float32x4x4_t out;
323
324 const auto tmp1 = vmovl_u8(vget_low_u8(in));
325 out.val[0] = vcvtq_f32_u32(vmovl_u16(vget_low_u16(tmp1)));
326 out.val[1] = vcvtq_f32_u32(vmovl_u16(vget_high_u16(tmp1)));
327
328 const auto tmp2 = vmovl_u8(vget_high_u8(in));
329 out.val[2] = vcvtq_f32_u32(vmovl_u16(vget_low_u16(tmp2)));
330 out.val[3] = vcvtq_f32_u32(vmovl_u16(vget_high_u16(tmp2)));
331 return out;
332}
333
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000334inline float32x4x4_t convert_int8x16_to_float32x4x4(const int8x16_t &in)
335{
336 float32x4x4_t out;
337
338 const auto tmp1 = vmovl_s8(vget_low_s8(in));
339 out.val[0] = vcvtq_f32_s32(vmovl_s16(vget_low_s16(tmp1)));
340 out.val[1] = vcvtq_f32_s32(vmovl_s16(vget_high_s16(tmp1)));
341
342 const auto tmp2 = vmovl_s8(vget_high_s8(in));
343 out.val[2] = vcvtq_f32_s32(vmovl_s16(vget_low_s16(tmp2)));
344 out.val[3] = vcvtq_f32_s32(vmovl_s16(vget_high_s16(tmp2)));
345 return out;
346}
347
Manuel Bottini21079dd2019-10-29 17:20:09 +0000348inline void convert_float32x4x3_to_uint8x8x3(const float32x4x3_t &in1, const float32x4x3_t &in2, uint8x8x3_t &out)
349{
350 out.val[0] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[0])),
351 vqmovn_u32(vcvtq_u32_f32(in2.val[0]))));
352 out.val[1] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[1])),
353 vqmovn_u32(vcvtq_u32_f32(in2.val[1]))));
354 out.val[2] = vqmovn_u16(vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in1.val[2])),
355 vqmovn_u32(vcvtq_u32_f32(in2.val[2]))));
356}
357
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000358inline void convert_float32x4x4_to_uint8x16(const float32x4x4_t &in, uint8x16_t &out)
Manuel Bottini21079dd2019-10-29 17:20:09 +0000359{
360 const auto low = vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in.val[0])),
361 vqmovn_u32(vcvtq_u32_f32(in.val[1])));
362 const auto high = vcombine_u16(vqmovn_u32(vcvtq_u32_f32(in.val[2])),
363 vqmovn_u32(vcvtq_u32_f32(in.val[3])));
364 out = vcombine_u8(vqmovn_u16(low), vqmovn_u16(high));
365}
366
Sang-Hoon Parkc3a74202019-11-22 16:05:46 +0000367inline void convert_float32x4x4_to_int8x16(const float32x4x4_t &in, int8x16_t &out)
368{
369 const auto low = vcombine_s16(vqmovn_s32(vcvtq_s32_f32(in.val[0])),
370 vqmovn_s32(vcvtq_s32_f32(in.val[1])));
371 const auto high = vcombine_s16(vqmovn_s32(vcvtq_s32_f32(in.val[2])),
372 vqmovn_s32(vcvtq_s32_f32(in.val[3])));
373 out = vcombine_s8(vqmovn_s16(low), vqmovn_s16(high));
374}
375
Ioan-Cristian Szabo5edbd1c2017-11-13 13:34:08 +0000376#ifdef __ARM_FEATURE_FP16_VECTOR_ARITHMETIC
Alex Gildayc357c472018-03-21 13:54:09 +0000377/** Exponent polynomial coefficients */
Alex Gildayc357c472018-03-21 13:54:09 +0000378/** Logarithm polynomial coefficients */
Alex Gildayc357c472018-03-21 13:54:09 +0000379#ifndef DOXYGEN_SKIP_THIS
Georgios Pinitas565bf2d2018-08-31 11:46:49 +0100380inline float16x8_t vfloorq_f16(float16x8_t val)
381{
382 static const float16x8_t CONST_1 = vdupq_n_f16(1.f);
383
384 const int16x8_t z = vcvtq_s16_f16(val);
385 const float16x8_t r = vcvtq_f16_s16(z);
386
387 return vbslq_f16(vcgtq_f16(r, val), vsubq_f16(r, CONST_1), r);
388}
Usama Arif0a5a57a2019-05-23 14:20:33 +0100389
390inline float16x8_t vroundq_rte_f16(float16x8_t val)
391{
392 return vrndnq_f16(val);
393}
394
Georgios Pinitascdf51452017-08-31 14:21:36 +0100395inline float16x4_t vinvsqrt_f16(float16x4_t x)
396{
397 float16x4_t sqrt_reciprocal = vrsqrte_f16(x);
398 sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
399 sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
400 return sqrt_reciprocal;
401}
402
Pablo Tello91654c42017-07-05 11:32:17 +0100403inline float16x8_t vinvsqrtq_f16(float16x8_t x)
404{
405 float16x8_t sqrt_reciprocal = vrsqrteq_f16(x);
406 sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
407 sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal);
Pablo Tello91654c42017-07-05 11:32:17 +0100408 return sqrt_reciprocal;
409}
Pablo Tellodf246182017-07-03 16:25:09 +0100410
Georgios Pinitascdf51452017-08-31 14:21:36 +0100411inline float16x4_t vinv_f16(float16x4_t x)
412{
413 float16x4_t recip = vrecpe_f16(x);
414 recip = vmul_f16(vrecps_f16(x, recip), recip);
415 recip = vmul_f16(vrecps_f16(x, recip), recip);
416 return recip;
417}
418
Pablo Tellodf246182017-07-03 16:25:09 +0100419inline float16x8_t vinvq_f16(float16x8_t x)
420{
421 float16x8_t recip = vrecpeq_f16(x);
422 recip = vmulq_f16(vrecpsq_f16(x, recip), recip);
423 recip = vmulq_f16(vrecpsq_f16(x, recip), recip);
424 return recip;
425}
426
Pablo Tello91654c42017-07-05 11:32:17 +0100427inline float16x8_t vtanhq_f16(float16x8_t val)
428{
429 const float16x8_t CONST_1 = vdupq_n_f16(1.f);
430 const float16x8_t CONST_2 = vdupq_n_f16(2.f);
431 const float16x8_t CONST_MIN_TANH = vdupq_n_f16(-10.f);
432 const float16x8_t CONST_MAX_TANH = vdupq_n_f16(10.f);
433
434 const float16x8_t x = vminq_f16(vmaxq_f16(val, CONST_MIN_TANH), CONST_MAX_TANH);
435 const float16x8_t exp2x = vexpq_f16(vmulq_f16(CONST_2, x));
436 const float16x8_t num = vsubq_f16(exp2x, CONST_1);
437 const float16x8_t den = vaddq_f16(exp2x, CONST_1);
438 const float16x8_t tanh = vmulq_f16(num, vinvq_f16(den));
439 return tanh;
440}
441
Pablo Tellodf246182017-07-03 16:25:09 +0100442inline float16x8_t vtaylor_polyq_f16(float16x8_t x, const std::array<float16x8_t, 8> &coeffs)
443{
444 const float16x8_t A = vaddq_f16(coeffs[0], vmulq_f16(coeffs[4], x));
445 const float16x8_t B = vaddq_f16(coeffs[2], vmulq_f16(coeffs[6], x));
446 const float16x8_t C = vaddq_f16(coeffs[1], vmulq_f16(coeffs[5], x));
447 const float16x8_t D = vaddq_f16(coeffs[3], vmulq_f16(coeffs[7], x));
448 const float16x8_t x2 = vmulq_f16(x, x);
449 const float16x8_t x4 = vmulq_f16(x2, x2);
450 const float16x8_t res = vaddq_f16(vaddq_f16(A, vmulq_f16(B, x2)), vmulq_f16(vaddq_f16(C, vmulq_f16(D, x2)), x4));
451 return res;
452}
453
454inline float16x8_t vexpq_f16(float16x8_t x)
455{
Michele Di Giorgio1c948d42018-11-20 16:03:01 +0000456 // TODO (COMPMID-1535) : Revisit FP16 approximations
457 const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x));
458 const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x));
Anthony Barbier3a6163e2018-08-10 17:36:36 +0100459
Georgios Pinitasf2cdce32019-12-09 18:35:57 +0000460 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 +0000461 return res;
Pablo Tellodf246182017-07-03 16:25:09 +0100462}
463
464inline float16x8_t vlogq_f16(float16x8_t x)
465{
Georgios Pinitas5a594532018-12-03 14:30:05 +0000466 // TODO (COMPMID-1535) : Revisit FP16 approximations
467 const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x));
468 const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x));
Anthony Barbier3a6163e2018-08-10 17:36:36 +0100469
Georgios Pinitasf2cdce32019-12-09 18:35:57 +0000470 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 +0000471 return res;
Pablo Tellodf246182017-07-03 16:25:09 +0100472}
473
474inline float16x8_t vpowq_f16(float16x8_t val, float16x8_t n)
475{
Gian Marco Iodicef2cde9b2018-08-23 15:29:16 +0100476 // TODO (giaiod01) - COMPMID-1535
477 float32x4_t n0_f32 = vcvt_f32_f16(vget_low_f16(n));
478 float32x4_t n1_f32 = vcvt_f32_f16(vget_high_f16(n));
479 float32x4_t val0_f32 = vcvt_f32_f16(vget_low_f16(val));
480 float32x4_t val1_f32 = vcvt_f32_f16(vget_high_f16(val));
481
482 float32x4_t res0_f32 = vexpq_f32(vmulq_f32(n0_f32, vlogq_f32(val0_f32)));
483 float32x4_t res1_f32 = vexpq_f32(vmulq_f32(n1_f32, vlogq_f32(val1_f32)));
484
485 return vcombine_f16(vcvt_f16_f32(res0_f32), vcvt_f16_f32(res1_f32));
Pablo Tellodf246182017-07-03 16:25:09 +0100486}
Manuel Bottinied753262019-05-15 15:30:47 +0100487
488inline float16x8_t vsinq_f16(float16x8_t val)
489{
490 const float32x4_t val_high = vcvt_f32_f16(vget_high_f16(val));
491 const float32x4_t val_low = vcvt_f32_f16(vget_low_f16(val));
492
493 const float32x4_t res_high = vsinq_f32(val_high);
494 const float32x4_t res_low = vsinq_f32(val_low);
495
496 return vcombine_f16(vcvt_f16_f32(res_low), vcvt_f16_f32(res_high));
497}
498
499inline float16x4_t vsin_f16(float16x4_t val)
500{
501 const float32x4_t val_f32 = vcvt_f32_f16(val);
502 const float32x2_t val_high = vget_high_f32(val_f32);
503 const float32x2_t val_low = vget_low_f32(val_f32);
504
505 const float32x2_t res_high = vsin_f32(val_high);
506 const float32x2_t res_low = vsin_f32(val_low);
507
508 return vcvt_f16_f32(vcombine_f32(res_low, res_high));
509}
510
Alex Gildayc357c472018-03-21 13:54:09 +0000511#endif /* DOXYGEN_SKIP_THIS */
Ioan-Cristian Szabo5edbd1c2017-11-13 13:34:08 +0000512#endif /* __ARM_FEATURE_FP16_VECTOR_ARITHMETIC */
Gian Marco Iodice356f6432017-09-22 11:32:21 +0100513} // namespace arm_compute