1 // Auto-generated file. Do not edit!
2 // Template: src/f32-raddstoreexpminusmax/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/raddstoreexpminusmax.h>
16
17
xnn_f32_raddstoreexpminusmax_ukernel__avx512f_p5_scalef_x128_acc2(size_t elements,const float * input,float * output,float * sum,float max)18 void xnn_f32_raddstoreexpminusmax_ukernel__avx512f_p5_scalef_x128_acc2(
19 size_t elements,
20 const float* input,
21 float* output,
22 float* sum,
23 float max)
24 {
25 assert(elements % sizeof(float) == 0);
26
27 const __m512 vlog2e = _mm512_set1_ps(0x1.715476p+0f);
28 const __m512 vminus_ln2_hi = _mm512_set1_ps(-0x1.62E43p-1f);
29 const __m512 vminus_ln2_lo = _mm512_set1_ps(0x1.05C61p-29f);
30
31 const __m512 vc0 = _mm512_set1_ps(1.0f);
32 const __m512 vc1 = _mm512_set1_ps(0x1.FFFFF6p-1f);
33 const __m512 vc2 = _mm512_set1_ps(0x1.FFFDC6p-2f);
34 const __m512 vc3 = _mm512_set1_ps(0x1.555A80p-3f);
35 const __m512 vc4 = _mm512_set1_ps(0x1.573A1Ap-5f);
36 const __m512 vc5 = _mm512_set1_ps(0x1.0F9F9Cp-7f);
37
38 const __m512 vi_max = _mm512_set1_ps(max);
39
40 __m512 vacc0 = _mm512_setzero_ps();
41 __m512 vacc1 = _mm512_setzero_ps();
42 for (; elements >= 128 * sizeof(float); elements -= 128 * sizeof(float)) {
43 // Load 128 (8x16) inputs at a time.
44 const __m512 vi0 = _mm512_loadu_ps(input);
45 const __m512 vi1 = _mm512_loadu_ps(input + 16);
46 const __m512 vi2 = _mm512_loadu_ps(input + 32);
47 const __m512 vi3 = _mm512_loadu_ps(input + 48);
48 const __m512 vi4 = _mm512_loadu_ps(input + 64);
49 const __m512 vi5 = _mm512_loadu_ps(input + 80);
50 const __m512 vi6 = _mm512_loadu_ps(input + 96);
51 const __m512 vi7 = _mm512_loadu_ps(input + 112);
52 input += 128;
53
54 // Subtract maximum input x := i - i_max.
55 const __m512 vx0 = _mm512_sub_ps(vi0, vi_max);
56 const __m512 vx1 = _mm512_sub_ps(vi1, vi_max);
57 const __m512 vx2 = _mm512_sub_ps(vi2, vi_max);
58 const __m512 vx3 = _mm512_sub_ps(vi3, vi_max);
59 const __m512 vx4 = _mm512_sub_ps(vi4, vi_max);
60 const __m512 vx5 = _mm512_sub_ps(vi5, vi_max);
61 const __m512 vx6 = _mm512_sub_ps(vi6, vi_max);
62 const __m512 vx7 = _mm512_sub_ps(vi7, vi_max);
63
64 // Compute reduced argument elements := round(x / log(2)).
65 const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
66 const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
67 const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
68 const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
69 const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
70 const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
71 const __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0);
72 const __m512 vn7 = _mm512_roundscale_ps(_mm512_mul_ps(vx7, vlog2e), 0);
73
74 // Compute reduced argument t := x - elements * log(2).
75 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
76 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
77 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
78 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
79 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
80 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
81 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
82 __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6);
83 __m512 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_hi, vx7);
84
85 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
86 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
87 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
88 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
89 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
90 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
91 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6);
92 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_lo, vt7);
93
94 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
95 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
96 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
97 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
98 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
99 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
100 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
101 __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4);
102 __m512 vp7 = _mm512_fmadd_ps(vc5, vt7, vc4);
103
104 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
105 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
106 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
107 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
108 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
109 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
110 vp6 = _mm512_fmadd_ps(vp6, vt6, vc3);
111 vp7 = _mm512_fmadd_ps(vp7, vt7, vc3);
112
113 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
114 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
115 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
116 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
117 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
118 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
119 vp6 = _mm512_fmadd_ps(vp6, vt6, vc2);
120 vp7 = _mm512_fmadd_ps(vp7, vt7, vc2);
121
122 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
123 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
124 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
125 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
126 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
127 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
128 vp6 = _mm512_fmadd_ps(vp6, vt6, vc1);
129 vp7 = _mm512_fmadd_ps(vp7, vt7, vc1);
130
131 vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
132 vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
133 vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
134 vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
135 vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
136 vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
137 vp6 = _mm512_fmadd_ps(vp6, vt6, vc0);
138 vp7 = _mm512_fmadd_ps(vp7, vt7, vc0);
139
140 // Reconstruct the final f value:
141 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
142 // = 2**elements * p
143 const __m512 vf0 = _mm512_scalef_ps(vp0, vn0);
144 const __m512 vf1 = _mm512_scalef_ps(vp1, vn1);
145 const __m512 vf2 = _mm512_scalef_ps(vp2, vn2);
146 const __m512 vf3 = _mm512_scalef_ps(vp3, vn3);
147 const __m512 vf4 = _mm512_scalef_ps(vp4, vn4);
148 const __m512 vf5 = _mm512_scalef_ps(vp5, vn5);
149 const __m512 vf6 = _mm512_scalef_ps(vp6, vn6);
150 const __m512 vf7 = _mm512_scalef_ps(vp7, vn7);
151
152 // Store 128 (8x16) outputs at a time.
153 _mm512_storeu_ps(output, vf0);
154 _mm512_storeu_ps(output + 16, vf1);
155 _mm512_storeu_ps(output + 32, vf2);
156 _mm512_storeu_ps(output + 48, vf3);
157 _mm512_storeu_ps(output + 64, vf4);
158 _mm512_storeu_ps(output + 80, vf5);
159 _mm512_storeu_ps(output + 96, vf6);
160 _mm512_storeu_ps(output + 112, vf7);
161 output += 128;
162
163 // Accumulate computed exponents.
164 vacc0 = _mm512_add_ps(vacc0, vf0);
165 vacc1 = _mm512_add_ps(vacc1, vf1);
166 vacc0 = _mm512_add_ps(vacc0, vf2);
167 vacc1 = _mm512_add_ps(vacc1, vf3);
168 vacc0 = _mm512_add_ps(vacc0, vf4);
169 vacc1 = _mm512_add_ps(vacc1, vf5);
170 vacc0 = _mm512_add_ps(vacc0, vf6);
171 vacc1 = _mm512_add_ps(vacc1, vf7);
172 }
173 // Add up all accumulators to vacc0
174 vacc0 = _mm512_add_ps(vacc0, vacc1);
175
176 __m512 vacc = vacc0;
177 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
178 // Load 16 inputs at a time.
179 const __m512 vi = _mm512_loadu_ps(input);
180 input += 16;
181
182 // Subtract maximum input x := i - i_max.
183 const __m512 vx = _mm512_sub_ps(vi, vi_max);
184
185 // Compute reduced argument elements := round(x / log(2)).
186 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
187
188 // Compute reduced argument t := x - elements * log(2).
189 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
190 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
191 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
192
193 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
194 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
195 vp = _mm512_fmadd_ps(vp, vt, vc3);
196 vp = _mm512_fmadd_ps(vp, vt, vc2);
197 vp = _mm512_fmadd_ps(vp, vt, vc1);
198 vp = _mm512_fmadd_ps(vp, vt, vc0);
199
200 // Reconstruct the final f value:
201 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
202 // = 2**elements * p
203 const __m512 vf = _mm512_scalef_ps(vp, vn);
204
205 // Store 16 outputs at a time.
206 _mm512_storeu_ps(output, vf);
207 output += 16;
208
209 // Accumulate computed exponents.
210 vacc = _mm512_add_ps(vacc, vf);
211 }
212 if (elements != 0) {
213 // Prepare mask for valid 32-bit elements (depends on elements).
214 elements >>= 2 /* log2(sizeof(float)) */;
215 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
216
217 // Load up to 15 inputs at a time.
218 const __m512 vi = _mm512_maskz_loadu_ps(vmask, input);
219
220 // Subtract maximum input x := i - i_max.
221 const __m512 vx = _mm512_sub_ps(vi, vi_max);
222
223 // Compute reduced argument elements := round(x / log(2)).
224 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
225
226 // Compute reduced argument t := x - elements * log(2).
227 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
228 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
229 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
230
231 // Compute degree-5 polynomial approxiatmion for exp(t) on [-log(2)/2, log(2)/2].
232 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
233 vp = _mm512_fmadd_ps(vp, vt, vc3);
234 vp = _mm512_fmadd_ps(vp, vt, vc2);
235 vp = _mm512_fmadd_ps(vp, vt, vc1);
236 vp = _mm512_fmadd_ps(vp, vt, vc0);
237
238 // Reconstruct the final f value:
239 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
240 // = 2**elements * p
241 const __m512 vf = _mm512_scalef_ps(vp, vn);
242
243 // Store up to 15 outputs at a time.
244 _mm512_mask_storeu_ps(output, vmask, vf);
245
246 // Accumulate computed exponents.
247 vacc = _mm512_mask_add_ps(vacc, vmask, vacc, vf);
248 }
249 *sum = _mm512_reduce_add_ps(vacc);
250 }
251