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_x96(size_t elements,const float * x,float * y,float scale_value,float scale_exp)19 void xnn_f32_vscaleextexp_ukernel__avx512f_p5_scalef_x96(
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 >= 96 * sizeof(float); elements -= 96 * sizeof(float)) {
43 // Load 96 (6x16) 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 x += 96;
51
52 // Compute reduced argument elements := round(x / log(2)).
53 const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
54 const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
55 const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
56 const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
57 const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
58 const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
59
60 // Compute reduced argument t := x - elements * log(2).
61 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
62 __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
63 __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
64 __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
65 __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
66 __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
67 __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
68
69 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
70 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
71 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
72 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
73 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
74 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
75
76 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
77 __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
78 __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
79 __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
80 __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
81 __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
82 __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
83
84 vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
85 vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
86 vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
87 vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
88 vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
89 vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
90
91 vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
92 vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
93 vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
94 vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
95 vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
96 vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
97
98 vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
99 vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
100 vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
101 vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
102 vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
103 vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
104
105 vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
106 vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
107 vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
108 vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
109 vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
110 vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
111
112 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation where
113 // - vnX is "exponent"
114 // - vpX is "mantissa"
115 //
116 // exp2(ae) * av * exp2(be) * bv =
117 // = exp2(ae + be) * (av * bv)
118 __m512 vf0 = _mm512_mul_ps(vp0, vscalev);
119 __m512 vf1 = _mm512_mul_ps(vp1, vscalev);
120 __m512 vf2 = _mm512_mul_ps(vp2, vscalev);
121 __m512 vf3 = _mm512_mul_ps(vp3, vscalev);
122 __m512 vf4 = _mm512_mul_ps(vp4, vscalev);
123 __m512 vf5 = _mm512_mul_ps(vp5, vscalev);
124
125 const __m512 ve0 = _mm512_add_ps(vn0, vscalee);
126 const __m512 ve1 = _mm512_add_ps(vn1, vscalee);
127 const __m512 ve2 = _mm512_add_ps(vn2, vscalee);
128 const __m512 ve3 = _mm512_add_ps(vn3, vscalee);
129 const __m512 ve4 = _mm512_add_ps(vn4, vscalee);
130 const __m512 ve5 = _mm512_add_ps(vn5, vscalee);
131
132 // Multiply "mantissa" by the exp2("exponent").
133 vf0 = _mm512_scalef_ps(vf0, ve0);
134 vf1 = _mm512_scalef_ps(vf1, ve1);
135 vf2 = _mm512_scalef_ps(vf2, ve2);
136 vf3 = _mm512_scalef_ps(vf3, ve3);
137 vf4 = _mm512_scalef_ps(vf4, ve4);
138 vf5 = _mm512_scalef_ps(vf5, ve5);
139
140 // Store 128 (8x16) results at a time.
141 _mm512_storeu_ps(y, vf0);
142 _mm512_storeu_ps(y + 0, vf0);
143 _mm512_storeu_ps(y + 16, vf1);
144 _mm512_storeu_ps(y + 32, vf2);
145 _mm512_storeu_ps(y + 48, vf3);
146 _mm512_storeu_ps(y + 64, vf4);
147 _mm512_storeu_ps(y + 80, vf5);
148 y += 96;
149 }
150
151 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
152 // Load 16 inputs at a time.
153 const __m512 vx = _mm512_loadu_ps(x);
154 x += 16;
155
156 // Compute reduced argument elements := round(x / log(2)).
157 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
158
159 // Compute reduced argument t := x - elements * log(2).
160 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
161 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
162 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
163
164 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
165 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
166 vp = _mm512_fmadd_ps(vp, vt, vc3);
167 vp = _mm512_fmadd_ps(vp, vt, vc2);
168 vp = _mm512_fmadd_ps(vp, vt, vc1);
169 vp = _mm512_fmadd_ps(vp, vt, vc0);
170
171 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
172 __m512 vf = _mm512_mul_ps(vp, vscalev);
173 const __m512 ve = _mm512_add_ps(vn, vscalee);
174
175 // Multiply "mantissa" by the exp2("exponent").
176 vf = _mm512_scalef_ps(vf, ve);
177
178 // Store 16 results at a time.
179 _mm512_storeu_ps(y, vf);
180 y += 16;
181 }
182 if XNN_UNLIKELY(elements != 0) {
183 // Prepare mask for valid 32-bit elements (depends on elements).
184 elements >>= 2 /* log2(sizeof(float)) */;
185 const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
186
187 // Load up to 15 inputs at a time.
188 const __m512 vx = _mm512_maskz_loadu_ps(vmask, x);
189
190 // Compute reduced argument elements := round(x / log(2)).
191 const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
192
193 // Compute reduced argument t := x - elements * log(2).
194 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
195 __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
196 vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
197
198 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
199 __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
200 vp = _mm512_fmadd_ps(vp, vt, vc3);
201 vp = _mm512_fmadd_ps(vp, vt, vc2);
202 vp = _mm512_fmadd_ps(vp, vt, vc1);
203 vp = _mm512_fmadd_ps(vp, vt, vc0);
204
205 // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
206 __m512 vf = _mm512_mul_ps(vp, vscalev);
207 const __m512 ve = _mm512_add_ps(vn, vscalee);
208
209 // Multiply "mantissa" by the exp2("exponent").
210 vf = _mm512_scalef_ps(vf, ve);
211
212 // Store up to 15 results at a time.
213 _mm512_mask_storeu_ps(y, vmask, vf);
214 }
215 _mm256_zeroupper();
216 }
217