1 // Auto-generated file. Do not edit!
2 // Template: src/f32-vscaleexpminusmax/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/vscaleexpminusmax.h>
16
17
xnn_f32_vscaleexpminusmax_ukernel__avx512f_p5_scalef_x144(size_t elements,const float * input,float * output,float scale,float max)18 void xnn_f32_vscaleexpminusmax_ukernel__avx512f_p5_scalef_x144(
19 size_t elements,
20 const float* input,
21 float* output,
22 float scale,
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 vscale = _mm512_set1_ps(scale);
39 const __m512 vi_max = _mm512_set1_ps(max);
40
41 for (; elements >= 144 * sizeof(float); elements -= 144 * sizeof(float)) {
42 // Load 144 (9x16) inputs at a time.
43 const __m512 vi0 = _mm512_loadu_ps(input);
44 const __m512 vi1 = _mm512_loadu_ps(input + 16);
45 const __m512 vi2 = _mm512_loadu_ps(input + 32);
46 const __m512 vi3 = _mm512_loadu_ps(input + 48);
47 const __m512 vi4 = _mm512_loadu_ps(input + 64);
48 const __m512 vi5 = _mm512_loadu_ps(input + 80);
49 const __m512 vi6 = _mm512_loadu_ps(input + 96);
50 const __m512 vi7 = _mm512_loadu_ps(input + 112);
51 const __m512 vi8 = _mm512_loadu_ps(input + 128);
52 input += 144;
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 const __m512 vx8 = _mm512_sub_ps(vi8, vi_max);
64
65 // Compute reduced argument elements := round(x / log(2)).
66 __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
67 __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
68 __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
69 __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
70 __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
71 __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
72 __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0);
73 __m512 vn7 = _mm512_roundscale_ps(_mm512_mul_ps(vx7, vlog2e), 0);
74 __m512 vn8 = _mm512_roundscale_ps(_mm512_mul_ps(vx8, vlog2e), 0);
75
76 // Compute reduced argument t := x - elements * log(2).
77 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
78 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
79 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
80 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
81 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
82 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
83 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
84 __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6);
85 __m512 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_hi, vx7);
86 __m512 vt8 = _mm512_fmadd_ps(vn8, vminus_ln2_hi, vx8);
87
88 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
89 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
90 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
91 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
92 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
93 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
94 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6);
95 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_lo, vt7);
96 vt8 = _mm512_fmadd_ps(vn8, vminus_ln2_lo, vt8);
97
98 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
99 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
100 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
101 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
102 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
103 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
104 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
105 __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4);
106 __m512 vp7 = _mm512_fmadd_ps(vc5, vt7, vc4);
107 __m512 vp8 = _mm512_fmadd_ps(vc5, vt8, vc4);
108
109 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
110 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
111 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
112 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
113 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
114 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
115 vp6 = _mm512_fmadd_ps(vp6, vt6, vc3);
116 vp7 = _mm512_fmadd_ps(vp7, vt7, vc3);
117 vp8 = _mm512_fmadd_ps(vp8, vt8, vc3);
118
119 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
120 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
121 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
122 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
123 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
124 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
125 vp6 = _mm512_fmadd_ps(vp6, vt6, vc2);
126 vp7 = _mm512_fmadd_ps(vp7, vt7, vc2);
127 vp8 = _mm512_fmadd_ps(vp8, vt8, vc2);
128
129 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
130 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
131 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
132 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
133 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
134 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
135 vp6 = _mm512_fmadd_ps(vp6, vt6, vc1);
136 vp7 = _mm512_fmadd_ps(vp7, vt7, vc1);
137 vp8 = _mm512_fmadd_ps(vp8, vt8, vc1);
138
139 vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
140 vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
141 vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
142 vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
143 vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
144 vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
145 vp6 = _mm512_fmadd_ps(vp6, vt6, vc0);
146 vp7 = _mm512_fmadd_ps(vp7, vt7, vc0);
147 vp8 = _mm512_fmadd_ps(vp8, vt8, vc0);
148
149 // Reconstruct the final f value:
150 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
151 // = 2**elements * p
152 __m512 vf0 = _mm512_scalef_ps(vp0, vn0);
153 __m512 vf1 = _mm512_scalef_ps(vp1, vn1);
154 __m512 vf2 = _mm512_scalef_ps(vp2, vn2);
155 __m512 vf3 = _mm512_scalef_ps(vp3, vn3);
156 __m512 vf4 = _mm512_scalef_ps(vp4, vn4);
157 __m512 vf5 = _mm512_scalef_ps(vp5, vn5);
158 __m512 vf6 = _mm512_scalef_ps(vp6, vn6);
159 __m512 vf7 = _mm512_scalef_ps(vp7, vn7);
160 __m512 vf8 = _mm512_scalef_ps(vp8, vn8);
161
162 // Multiply by scale.
163 vf0 = _mm512_mul_ps(vf0, vscale);
164 vf1 = _mm512_mul_ps(vf1, vscale);
165 vf2 = _mm512_mul_ps(vf2, vscale);
166 vf3 = _mm512_mul_ps(vf3, vscale);
167 vf4 = _mm512_mul_ps(vf4, vscale);
168 vf5 = _mm512_mul_ps(vf5, vscale);
169 vf6 = _mm512_mul_ps(vf6, vscale);
170 vf7 = _mm512_mul_ps(vf7, vscale);
171 vf8 = _mm512_mul_ps(vf8, vscale);
172
173 // Store 144 (9x16) outputs at a time.
174 _mm512_storeu_ps(output, vf0);
175 _mm512_storeu_ps(output + 0, vf0);
176 _mm512_storeu_ps(output + 16, vf1);
177 _mm512_storeu_ps(output + 32, vf2);
178 _mm512_storeu_ps(output + 48, vf3);
179 _mm512_storeu_ps(output + 64, vf4);
180 _mm512_storeu_ps(output + 80, vf5);
181 _mm512_storeu_ps(output + 96, vf6);
182 _mm512_storeu_ps(output + 112, vf7);
183 _mm512_storeu_ps(output + 128, vf8);
184 output += 144;
185 }
186 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
187 // Load 16 inputs at a time.
188 const __m512 vi = _mm512_loadu_ps(input);
189 input += 16;
190
191 // Subtract maximum input x := i - i_max.
192 const __m512 vx = _mm512_sub_ps(vi, vi_max);
193
194 // Compute reduced argument elements := round(x / log(2)).
195 __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
196
197 // Compute reduced argument t := x - elements * log(2).
198 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
199 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
200 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
201
202 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
203 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
204 vp = _mm512_fmadd_ps(vp, vt, vc3);
205 vp = _mm512_fmadd_ps(vp, vt, vc2);
206 vp = _mm512_fmadd_ps(vp, vt, vc1);
207 vp = _mm512_fmadd_ps(vp, vt, vc0);
208
209 // Reconstruct the final f value:
210 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
211 // = 2**elements * p
212 __m512 vf = _mm512_scalef_ps(vp, vn);
213
214 // Multiply by scale.
215 vf = _mm512_mul_ps(vf, vscale);
216
217 // Store 16 outputs at a time.
218 _mm512_storeu_ps(output, vf);
219 output += 16;
220 }
221 if (elements != 0) {
222 // Prepare mask for valid 32-bit elements (depends on elements).
223 elements >>= 2 /* log2(sizeof(float)) */;
224 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
225
226 // Load up to 15 inputs at a time.
227 const __m512 vi = _mm512_mask_loadu_ps(_mm512_undefined_ps(), vmask, input);
228
229 // Subtract maximum input x := i - i_max.
230 const __m512 vx = _mm512_sub_ps(vi, vi_max);
231
232 // Compute reduced argument elements := round(x / log(2)).
233 __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
234
235 // Compute reduced argument t := x - elements * log(2).
236 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
237 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
238 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
239
240 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
241 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
242 vp = _mm512_fmadd_ps(vp, vt, vc3);
243 vp = _mm512_fmadd_ps(vp, vt, vc2);
244 vp = _mm512_fmadd_ps(vp, vt, vc1);
245 vp = _mm512_fmadd_ps(vp, vt, vc0);
246
247 // Reconstruct the final f value:
248 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
249 // = 2**elements * p
250 __m512 vf = _mm512_scalef_ps(vp, vn);
251
252 // Multiply by scale.
253 vf = _mm512_mul_ps(vf, vscale);
254
255 // Store up to 15 outputs at a time.
256 _mm512_mask_storeu_ps(output, vmask, vf);
257 }
258 }
259