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_x112(size_t elements,const float * input,float * output,float scale,float max)18 void xnn_f32_vscaleexpminusmax_ukernel__avx512f_p5_scalef_x112(
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 >= 112 * sizeof(float); elements -= 112 * sizeof(float)) {
42 // Load 112 (7x16) 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 input += 112;
51
52 // Subtract maximum input x := i - i_max.
53 const __m512 vx0 = _mm512_sub_ps(vi0, vi_max);
54 const __m512 vx1 = _mm512_sub_ps(vi1, vi_max);
55 const __m512 vx2 = _mm512_sub_ps(vi2, vi_max);
56 const __m512 vx3 = _mm512_sub_ps(vi3, vi_max);
57 const __m512 vx4 = _mm512_sub_ps(vi4, vi_max);
58 const __m512 vx5 = _mm512_sub_ps(vi5, vi_max);
59 const __m512 vx6 = _mm512_sub_ps(vi6, vi_max);
60
61 // Compute reduced argument elements := round(x / log(2)).
62 __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
63 __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
64 __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
65 __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
66 __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
67 __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
68 __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0);
69
70 // Compute reduced argument t := x - elements * log(2).
71 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
72 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
73 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
74 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
75 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
76 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
77 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
78 __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6);
79
80 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
81 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
82 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
83 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
84 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
85 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
86 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6);
87
88 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
89 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
90 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
91 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
92 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
93 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
94 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
95 __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4);
96
97 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
98 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
99 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
100 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
101 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
102 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
103 vp6 = _mm512_fmadd_ps(vp6, vt6, vc3);
104
105 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
106 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
107 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
108 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
109 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
110 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
111 vp6 = _mm512_fmadd_ps(vp6, vt6, vc2);
112
113 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
114 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
115 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
116 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
117 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
118 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
119 vp6 = _mm512_fmadd_ps(vp6, vt6, vc1);
120
121 vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
122 vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
123 vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
124 vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
125 vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
126 vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
127 vp6 = _mm512_fmadd_ps(vp6, vt6, vc0);
128
129 // Reconstruct the final f value:
130 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
131 // = 2**elements * p
132 __m512 vf0 = _mm512_scalef_ps(vp0, vn0);
133 __m512 vf1 = _mm512_scalef_ps(vp1, vn1);
134 __m512 vf2 = _mm512_scalef_ps(vp2, vn2);
135 __m512 vf3 = _mm512_scalef_ps(vp3, vn3);
136 __m512 vf4 = _mm512_scalef_ps(vp4, vn4);
137 __m512 vf5 = _mm512_scalef_ps(vp5, vn5);
138 __m512 vf6 = _mm512_scalef_ps(vp6, vn6);
139
140 // Multiply by scale.
141 vf0 = _mm512_mul_ps(vf0, vscale);
142 vf1 = _mm512_mul_ps(vf1, vscale);
143 vf2 = _mm512_mul_ps(vf2, vscale);
144 vf3 = _mm512_mul_ps(vf3, vscale);
145 vf4 = _mm512_mul_ps(vf4, vscale);
146 vf5 = _mm512_mul_ps(vf5, vscale);
147 vf6 = _mm512_mul_ps(vf6, vscale);
148
149 // Store 112 (7x16) outputs at a time.
150 _mm512_storeu_ps(output, vf0);
151 _mm512_storeu_ps(output + 0, vf0);
152 _mm512_storeu_ps(output + 16, vf1);
153 _mm512_storeu_ps(output + 32, vf2);
154 _mm512_storeu_ps(output + 48, vf3);
155 _mm512_storeu_ps(output + 64, vf4);
156 _mm512_storeu_ps(output + 80, vf5);
157 _mm512_storeu_ps(output + 96, vf6);
158 output += 112;
159 }
160 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
161 // Load 16 inputs at a time.
162 const __m512 vi = _mm512_loadu_ps(input);
163 input += 16;
164
165 // Subtract maximum input x := i - i_max.
166 const __m512 vx = _mm512_sub_ps(vi, vi_max);
167
168 // Compute reduced argument elements := round(x / log(2)).
169 __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
170
171 // Compute reduced argument t := x - elements * log(2).
172 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
173 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
174 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
175
176 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
177 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
178 vp = _mm512_fmadd_ps(vp, vt, vc3);
179 vp = _mm512_fmadd_ps(vp, vt, vc2);
180 vp = _mm512_fmadd_ps(vp, vt, vc1);
181 vp = _mm512_fmadd_ps(vp, vt, 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 __m512 vf = _mm512_scalef_ps(vp, vn);
187
188 // Multiply by scale.
189 vf = _mm512_mul_ps(vf, vscale);
190
191 // Store 16 outputs at a time.
192 _mm512_storeu_ps(output, vf);
193 output += 16;
194 }
195 if (elements != 0) {
196 // Prepare mask for valid 32-bit elements (depends on elements).
197 elements >>= 2 /* log2(sizeof(float)) */;
198 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
199
200 // Load up to 15 inputs at a time.
201 const __m512 vi = _mm512_mask_loadu_ps(_mm512_undefined_ps(), vmask, input);
202
203 // Subtract maximum input x := i - i_max.
204 const __m512 vx = _mm512_sub_ps(vi, vi_max);
205
206 // Compute reduced argument elements := round(x / log(2)).
207 __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
208
209 // Compute reduced argument t := x - elements * log(2).
210 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
211 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
212 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
213
214 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
215 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
216 vp = _mm512_fmadd_ps(vp, vt, vc3);
217 vp = _mm512_fmadd_ps(vp, vt, vc2);
218 vp = _mm512_fmadd_ps(vp, vt, vc1);
219 vp = _mm512_fmadd_ps(vp, vt, vc0);
220
221 // Reconstruct the final f value:
222 // f = 2**elements * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
223 // = 2**elements * p
224 __m512 vf = _mm512_scalef_ps(vp, vn);
225
226 // Multiply by scale.
227 vf = _mm512_mul_ps(vf, vscale);
228
229 // Store up to 15 outputs at a time.
230 _mm512_mask_storeu_ps(output, vmask, vf);
231 }
232 }
233