1 // Auto-generated file. Do not edit!
2 // Template: src/f32-vscaleextexp/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/common.h>
15 #include <xnnpack/intrinsics-polyfill.h>
16 #include <xnnpack/vscaleextexp.h>
17
18
xnn_f32_vscaleextexp_ukernel__avx512f_p5_scalef_x128(size_t elements,const float * x,float * y,float scale_value,float scale_exp)19 void xnn_f32_vscaleextexp_ukernel__avx512f_p5_scalef_x128(
20 size_t elements,
21 const float* x,
22 float* y,
23 float scale_value,
24 float scale_exp)
25 {
26 assert(elements % sizeof(float) == 0);
27
28 const __m512 vlog2e = _mm512_set1_ps(0x1.715476p+0f);
29 const __m512 vminus_ln2_hi = _mm512_set1_ps(-0x1.62E43p-1f);
30 const __m512 vminus_ln2_lo = _mm512_set1_ps(0x1.05C61p-29f);
31
32 const __m512 vc0 = _mm512_set1_ps(1.0f);
33 const __m512 vc1 = _mm512_set1_ps(0x1.FFFFF6p-1f);
34 const __m512 vc2 = _mm512_set1_ps(0x1.FFFDC6p-2f);
35 const __m512 vc3 = _mm512_set1_ps(0x1.555A80p-3f);
36 const __m512 vc4 = _mm512_set1_ps(0x1.573A1Ap-5f);
37 const __m512 vc5 = _mm512_set1_ps(0x1.0F9F9Cp-7f);
38
39 const __m512 vscalev = _mm512_set1_ps(scale_value);
40 const __m512 vscalee = _mm512_set1_ps(scale_exp);
41
42 for (; elements >= 128 * sizeof(float); elements -= 128 * sizeof(float)) {
43 // Load 128 (8x16) inputs at a time.
44 const __m512 vx0 = _mm512_loadu_ps(x);
45 const __m512 vx1 = _mm512_loadu_ps(x + 16);
46 const __m512 vx2 = _mm512_loadu_ps(x + 32);
47 const __m512 vx3 = _mm512_loadu_ps(x + 48);
48 const __m512 vx4 = _mm512_loadu_ps(x + 64);
49 const __m512 vx5 = _mm512_loadu_ps(x + 80);
50 const __m512 vx6 = _mm512_loadu_ps(x + 96);
51 const __m512 vx7 = _mm512_loadu_ps(x + 112);
52 x += 128;
53
54 // Compute reduced argument elements := round(x / log(2)).
55 const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
56 const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
57 const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
58 const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
59 const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
60 const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
61 const __m512 vn6 = _mm512_roundscale_ps(_mm512_mul_ps(vx6, vlog2e), 0);
62 const __m512 vn7 = _mm512_roundscale_ps(_mm512_mul_ps(vx7, vlog2e), 0);
63
64 // Compute reduced argument t := x - elements * log(2).
65 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
66 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
67 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
68 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
69 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
70 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
71 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
72 __m512 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_hi, vx6);
73 __m512 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_hi, vx7);
74
75 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
76 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
77 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
78 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
79 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
80 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
81 vt6 = _mm512_fmadd_ps(vn6, vminus_ln2_lo, vt6);
82 vt7 = _mm512_fmadd_ps(vn7, vminus_ln2_lo, vt7);
83
84 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
85 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
86 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
87 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
88 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
89 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
90 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
91 __m512 vp6 = _mm512_fmadd_ps(vc5, vt6, vc4);
92 __m512 vp7 = _mm512_fmadd_ps(vc5, vt7, vc4);
93
94 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
95 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
96 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
97 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
98 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
99 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
100 vp6 = _mm512_fmadd_ps(vp6, vt6, vc3);
101 vp7 = _mm512_fmadd_ps(vp7, vt7, vc3);
102
103 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
104 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
105 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
106 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
107 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
108 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
109 vp6 = _mm512_fmadd_ps(vp6, vt6, vc2);
110 vp7 = _mm512_fmadd_ps(vp7, vt7, vc2);
111
112 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
113 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
114 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
115 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
116 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
117 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
118 vp6 = _mm512_fmadd_ps(vp6, vt6, vc1);
119 vp7 = _mm512_fmadd_ps(vp7, vt7, 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 vp7 = _mm512_fmadd_ps(vp7, vt7, vc0);
129
130 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation where
131 // - vnX is "exponent"
132 // - vpX is "mantissa"
133 //
134 // exp2(ae) * av * exp2(be) * bv =
135 // = exp2(ae + be) * (av * bv)
136 __m512 vf0 = _mm512_mul_ps(vp0, vscalev);
137 __m512 vf1 = _mm512_mul_ps(vp1, vscalev);
138 __m512 vf2 = _mm512_mul_ps(vp2, vscalev);
139 __m512 vf3 = _mm512_mul_ps(vp3, vscalev);
140 __m512 vf4 = _mm512_mul_ps(vp4, vscalev);
141 __m512 vf5 = _mm512_mul_ps(vp5, vscalev);
142 __m512 vf6 = _mm512_mul_ps(vp6, vscalev);
143 __m512 vf7 = _mm512_mul_ps(vp7, vscalev);
144
145 const __m512 ve0 = _mm512_add_ps(vn0, vscalee);
146 const __m512 ve1 = _mm512_add_ps(vn1, vscalee);
147 const __m512 ve2 = _mm512_add_ps(vn2, vscalee);
148 const __m512 ve3 = _mm512_add_ps(vn3, vscalee);
149 const __m512 ve4 = _mm512_add_ps(vn4, vscalee);
150 const __m512 ve5 = _mm512_add_ps(vn5, vscalee);
151 const __m512 ve6 = _mm512_add_ps(vn6, vscalee);
152 const __m512 ve7 = _mm512_add_ps(vn7, vscalee);
153
154 // Multiply "mantissa" by the exp2("exponent").
155 vf0 = _mm512_scalef_ps(vf0, ve0);
156 vf1 = _mm512_scalef_ps(vf1, ve1);
157 vf2 = _mm512_scalef_ps(vf2, ve2);
158 vf3 = _mm512_scalef_ps(vf3, ve3);
159 vf4 = _mm512_scalef_ps(vf4, ve4);
160 vf5 = _mm512_scalef_ps(vf5, ve5);
161 vf6 = _mm512_scalef_ps(vf6, ve6);
162 vf7 = _mm512_scalef_ps(vf7, ve7);
163
164 // Store 128 (8x16) results at a time.
165 _mm512_storeu_ps(y, vf0);
166 _mm512_storeu_ps(y + 0, vf0);
167 _mm512_storeu_ps(y + 16, vf1);
168 _mm512_storeu_ps(y + 32, vf2);
169 _mm512_storeu_ps(y + 48, vf3);
170 _mm512_storeu_ps(y + 64, vf4);
171 _mm512_storeu_ps(y + 80, vf5);
172 _mm512_storeu_ps(y + 96, vf6);
173 _mm512_storeu_ps(y + 112, vf7);
174 y += 128;
175 }
176
177 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
178 // Load 16 inputs at a time.
179 const __m512 vx = _mm512_loadu_ps(x);
180 x += 16;
181
182 // Compute reduced argument elements := round(x / log(2)).
183 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
184
185 // Compute reduced argument t := x - elements * log(2).
186 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
187 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
188 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
189
190 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
191 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
192 vp = _mm512_fmadd_ps(vp, vt, vc3);
193 vp = _mm512_fmadd_ps(vp, vt, vc2);
194 vp = _mm512_fmadd_ps(vp, vt, vc1);
195 vp = _mm512_fmadd_ps(vp, vt, vc0);
196
197 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
198 __m512 vf = _mm512_mul_ps(vp, vscalev);
199 const __m512 ve = _mm512_add_ps(vn, vscalee);
200
201 // Multiply "mantissa" by the exp2("exponent").
202 vf = _mm512_scalef_ps(vf, ve);
203
204 // Store 16 results at a time.
205 _mm512_storeu_ps(y, vf);
206 y += 16;
207 }
208 if XNN_UNLIKELY(elements != 0) {
209 // Prepare mask for valid 32-bit elements (depends on elements).
210 elements >>= 2 /* log2(sizeof(float)) */;
211 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
212
213 // Load up to 15 inputs at a time.
214 const __m512 vx = _mm512_maskz_loadu_ps(vmask, x);
215
216 // Compute reduced argument elements := round(x / log(2)).
217 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
218
219 // Compute reduced argument t := x - elements * log(2).
220 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
221 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
222 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
223
224 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
225 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
226 vp = _mm512_fmadd_ps(vp, vt, vc3);
227 vp = _mm512_fmadd_ps(vp, vt, vc2);
228 vp = _mm512_fmadd_ps(vp, vt, vc1);
229 vp = _mm512_fmadd_ps(vp, vt, vc0);
230
231 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
232 __m512 vf = _mm512_mul_ps(vp, vscalev);
233 const __m512 ve = _mm512_add_ps(vn, vscalee);
234
235 // Multiply "mantissa" by the exp2("exponent").
236 vf = _mm512_scalef_ps(vf, ve);
237
238 // Store up to 15 results at a time.
239 _mm512_mask_storeu_ps(y, vmask, vf);
240 }
241 _mm256_zeroupper();
242 }
243