1 // Auto-generated file. Do not edit!
2 // Template: src/f32-raddexpminusmax/avx512f-p5-scalef.c.in
3 // Generator: tools/xngen
4 //
5 // Copyright 2019 Google LLC
6 //
7 // This source code is licensed under the BSD-style license found in the
8 // LICENSE file in the root directory of this source tree.
9
10 #include <assert.h>
11
12 #include <immintrin.h>
13
14 #include <xnnpack/intrinsics-polyfill.h>
15 #include <xnnpack/raddexpminusmax.h>
16
17
xnn_f32_raddexpminusmax_ukernel__avx512f_p5_scalef_x192_acc6(size_t elements,const float * input,float * sum,float max)18 void xnn_f32_raddexpminusmax_ukernel__avx512f_p5_scalef_x192_acc6(
19 size_t elements,
20 const float* input,
21 float* sum,
22 float max)
23 {
24 assert(elements % sizeof(float) == 0);
25
26 const __m512 vlog2e = _mm512_set1_ps(0x1.715476p+0f);
27 const __m512 vminus_ln2_hi = _mm512_set1_ps(-0x1.62E43p-1f);
28 const __m512 vminus_ln2_lo = _mm512_set1_ps(0x1.05C61p-29f);
29
30 const __m512 vc0 = _mm512_set1_ps(1.0f);
31 const __m512 vc1 = _mm512_set1_ps(0x1.FFFFF6p-1f);
32 const __m512 vc2 = _mm512_set1_ps(0x1.FFFDC6p-2f);
33 const __m512 vc3 = _mm512_set1_ps(0x1.555A80p-3f);
34 const __m512 vc4 = _mm512_set1_ps(0x1.573A1Ap-5f);
35 const __m512 vc5 = _mm512_set1_ps(0x1.0F9F9Cp-7f);
36
37 const __m512 vi_max = _mm512_set1_ps(max);
38
39 __m512 vacc0 = _mm512_setzero_ps();
40 __m512 vacc1 = _mm512_setzero_ps();
41 __m512 vacc2 = _mm512_setzero_ps();
42 __m512 vacc3 = _mm512_setzero_ps();
43 __m512 vacc4 = _mm512_setzero_ps();
44 __m512 vacc5 = _mm512_setzero_ps();
45 for (; elements >= 192 * sizeof(float); elements -= 192 * sizeof(float)) {
46 // Load 192 (12x16) inputs at a time.
47 const __m512 vi0 = _mm512_loadu_ps(input);
48 const __m512 vi1 = _mm512_loadu_ps(input + 16);
49 const __m512 vi2 = _mm512_loadu_ps(input + 32);
50 const __m512 vi3 = _mm512_loadu_ps(input + 48);
51 const __m512 vi4 = _mm512_loadu_ps(input + 64);
52 const __m512 vi5 = _mm512_loadu_ps(input + 80);
53 const __m512 vi6 = _mm512_loadu_ps(input + 96);
54 const __m512 vi7 = _mm512_loadu_ps(input + 112);
55 const __m512 vi8 = _mm512_loadu_ps(input + 128);
56 const __m512 vi9 = _mm512_loadu_ps(input + 144);
57 const __m512 vi10 = _mm512_loadu_ps(input + 160);
58 const __m512 vi11 = _mm512_loadu_ps(input + 176);
59 input += 192;
60
61 // Subtract maximum input x := i - i_max.
62 const __m512 vx0 = _mm512_sub_ps(vi0, vi_max);
63 const __m512 vx1 = _mm512_sub_ps(vi1, vi_max);
64 const __m512 vx2 = _mm512_sub_ps(vi2, vi_max);
65 const __m512 vx3 = _mm512_sub_ps(vi3, vi_max);
66 const __m512 vx4 = _mm512_sub_ps(vi4, vi_max);
67 const __m512 vx5 = _mm512_sub_ps(vi5, vi_max);
68 const __m512 vx6 = _mm512_sub_ps(vi6, vi_max);
69 const __m512 vx7 = _mm512_sub_ps(vi7, vi_max);
70 const __m512 vx8 = _mm512_sub_ps(vi8, vi_max);
71 const __m512 vx9 = _mm512_sub_ps(vi9, vi_max);
72 const __m512 vx10 = _mm512_sub_ps(vi10, vi_max);
73 const __m512 vx11 = _mm512_sub_ps(vi11, vi_max);
74
75 // Compute reduced argument elements := round(x / log(2)).
76 const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
77 const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
78 const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
79 const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
80 const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
81 const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
82 const __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0);
83 const __m512 vn7 = _mm512_roundscale_ps(_mm512_mul_ps(vx7, vlog2e), 0);
84 const __m512 vn8 = _mm512_roundscale_ps(_mm512_mul_ps(vx8, vlog2e), 0);
85 const __m512 vn9 = _mm512_roundscale_ps(_mm512_mul_ps(vx9, vlog2e), 0);
86 const __m512 vn10 = _mm512_roundscale_ps(_mm512_mul_ps(vx10, vlog2e), 0);
87 const __m512 vn11 = _mm512_roundscale_ps(_mm512_mul_ps(vx11, vlog2e), 0);
88
89 // Compute reduced argument t := x - elements * log(2).
90 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
91 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
92 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
93 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
94 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
95 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
96 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
97 __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6);
98 __m512 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_hi, vx7);
99 __m512 vt8 = _mm512_fmadd_ps(vn8, vminus_ln2_hi, vx8);
100 __m512 vt9 = _mm512_fmadd_ps(vn9, vminus_ln2_hi, vx9);
101 __m512 vt10 = _mm512_fmadd_ps(vn10, vminus_ln2_hi, vx10);
102 __m512 vt11 = _mm512_fmadd_ps(vn11, vminus_ln2_hi, vx11);
103
104 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
105 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
106 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
107 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
108 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
109 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
110 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6);
111 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_lo, vt7);
112 vt8 = _mm512_fmadd_ps(vn8, vminus_ln2_lo, vt8);
113 vt9 = _mm512_fmadd_ps(vn9, vminus_ln2_lo, vt9);
114 vt10 = _mm512_fmadd_ps(vn10, vminus_ln2_lo, vt10);
115 vt11 = _mm512_fmadd_ps(vn11, vminus_ln2_lo, vt11);
116
117 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
118 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
119 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
120 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
121 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
122 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
123 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
124 __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4);
125 __m512 vp7 = _mm512_fmadd_ps(vc5, vt7, vc4);
126 __m512 vp8 = _mm512_fmadd_ps(vc5, vt8, vc4);
127 __m512 vp9 = _mm512_fmadd_ps(vc5, vt9, vc4);
128 __m512 vp10 = _mm512_fmadd_ps(vc5, vt10, vc4);
129 __m512 vp11 = _mm512_fmadd_ps(vc5, vt11, vc4);
130
131 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
132 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
133 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
134 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
135 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
136 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
137 vp6 = _mm512_fmadd_ps(vp6, vt6, vc3);
138 vp7 = _mm512_fmadd_ps(vp7, vt7, vc3);
139 vp8 = _mm512_fmadd_ps(vp8, vt8, vc3);
140 vp9 = _mm512_fmadd_ps(vp9, vt9, vc3);
141 vp10 = _mm512_fmadd_ps(vp10, vt10, vc3);
142 vp11 = _mm512_fmadd_ps(vp11, vt11, vc3);
143
144 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
145 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
146 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
147 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
148 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
149 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
150 vp6 = _mm512_fmadd_ps(vp6, vt6, vc2);
151 vp7 = _mm512_fmadd_ps(vp7, vt7, vc2);
152 vp8 = _mm512_fmadd_ps(vp8, vt8, vc2);
153 vp9 = _mm512_fmadd_ps(vp9, vt9, vc2);
154 vp10 = _mm512_fmadd_ps(vp10, vt10, vc2);
155 vp11 = _mm512_fmadd_ps(vp11, vt11, vc2);
156
157 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
158 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
159 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
160 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
161 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
162 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
163 vp6 = _mm512_fmadd_ps(vp6, vt6, vc1);
164 vp7 = _mm512_fmadd_ps(vp7, vt7, vc1);
165 vp8 = _mm512_fmadd_ps(vp8, vt8, vc1);
166 vp9 = _mm512_fmadd_ps(vp9, vt9, vc1);
167 vp10 = _mm512_fmadd_ps(vp10, vt10, vc1);
168 vp11 = _mm512_fmadd_ps(vp11, vt11, vc1);
169
170 vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
171 vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
172 vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
173 vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
174 vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
175 vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
176 vp6 = _mm512_fmadd_ps(vp6, vt6, vc0);
177 vp7 = _mm512_fmadd_ps(vp7, vt7, vc0);
178 vp8 = _mm512_fmadd_ps(vp8, vt8, vc0);
179 vp9 = _mm512_fmadd_ps(vp9, vt9, vc0);
180 vp10 = _mm512_fmadd_ps(vp10, vt10, vc0);
181 vp11 = _mm512_fmadd_ps(vp11, vt11, vc0);
182
183 // Reconstruct the final f value:
184 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
185 // = 2**elements * p
186 const __m512 vf0 = _mm512_scalef_ps(vp0, vn0);
187 const __m512 vf1 = _mm512_scalef_ps(vp1, vn1);
188 const __m512 vf2 = _mm512_scalef_ps(vp2, vn2);
189 const __m512 vf3 = _mm512_scalef_ps(vp3, vn3);
190 const __m512 vf4 = _mm512_scalef_ps(vp4, vn4);
191 const __m512 vf5 = _mm512_scalef_ps(vp5, vn5);
192 const __m512 vf6 = _mm512_scalef_ps(vp6, vn6);
193 const __m512 vf7 = _mm512_scalef_ps(vp7, vn7);
194 const __m512 vf8 = _mm512_scalef_ps(vp8, vn8);
195 const __m512 vf9 = _mm512_scalef_ps(vp9, vn9);
196 const __m512 vf10 = _mm512_scalef_ps(vp10, vn10);
197 const __m512 vf11 = _mm512_scalef_ps(vp11, vn11);
198
199 // Accumulate computed exponents.
200 vacc0 = _mm512_add_ps(vacc0, vf0);
201 vacc1 = _mm512_add_ps(vacc1, vf1);
202 vacc2 = _mm512_add_ps(vacc2, vf2);
203 vacc3 = _mm512_add_ps(vacc3, vf3);
204 vacc4 = _mm512_add_ps(vacc4, vf4);
205 vacc5 = _mm512_add_ps(vacc5, vf5);
206 vacc0 = _mm512_add_ps(vacc0, vf6);
207 vacc1 = _mm512_add_ps(vacc1, vf7);
208 vacc2 = _mm512_add_ps(vacc2, vf8);
209 vacc3 = _mm512_add_ps(vacc3, vf9);
210 vacc4 = _mm512_add_ps(vacc4, vf10);
211 vacc5 = _mm512_add_ps(vacc5, vf11);
212 }
213 // Add up all accumulators to vacc0
214 vacc0 = _mm512_add_ps(vacc0, vacc1);
215 vacc2 = _mm512_add_ps(vacc2, vacc3);
216 vacc4 = _mm512_add_ps(vacc4, vacc5);
217 vacc0 = _mm512_add_ps(vacc0, vacc2);
218 vacc0 = _mm512_add_ps(vacc0, vacc4);
219
220 __m512 vacc = vacc0;
221 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
222 // Load 16 inputs at a time.
223 const __m512 vi = _mm512_loadu_ps(input);
224 input += 16;
225
226 // Subtract maximum input x := i - i_max.
227 const __m512 vx = _mm512_sub_ps(vi, vi_max);
228
229 // Compute reduced argument elements := round(x / log(2)).
230 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
231
232 // Compute reduced argument t := x - elements * log(2).
233 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
234 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
235 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
236
237 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
238 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
239 vp = _mm512_fmadd_ps(vp, vt, vc3);
240 vp = _mm512_fmadd_ps(vp, vt, vc2);
241 vp = _mm512_fmadd_ps(vp, vt, vc1);
242 vp = _mm512_fmadd_ps(vp, vt, vc0);
243
244 // Reconstruct the final f value:
245 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
246 // = 2**elements * p
247 const __m512 vf = _mm512_scalef_ps(vp, vn);
248
249 // Accumulate computed exponents.
250 vacc = _mm512_add_ps(vacc, vf);
251 }
252 if (elements != 0) {
253 // Prepare mask for valid 32-bit elements (depends on elements).
254 elements >>= 2 /* log2(sizeof(float)) */;
255 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
256
257 // Load up to 15 inputs at a time.
258 const __m512 vi = _mm512_maskz_loadu_ps(vmask, input);
259
260 // Subtract maximum input x := i - i_max.
261 const __m512 vx = _mm512_sub_ps(vi, vi_max);
262
263 // Compute reduced argument elements := round(x / log(2)).
264 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
265
266 // Compute reduced argument t := x - elements * log(2).
267 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
268 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
269 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
270
271 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
272 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
273 vp = _mm512_fmadd_ps(vp, vt, vc3);
274 vp = _mm512_fmadd_ps(vp, vt, vc2);
275 vp = _mm512_fmadd_ps(vp, vt, vc1);
276 vp = _mm512_fmadd_ps(vp, vt, vc0);
277
278 // Reconstruct the final f value:
279 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
280 // = 2**elements * p
281 const __m512 vf = _mm512_scalef_ps(vp, vn);
282
283 // Accumulate computed exponents.
284 vacc = _mm512_mask_add_ps(vacc, vmask, vacc, vf);
285 }
286 *sum = _mm512_reduce_add_ps(vacc);
287 }
288