1*4bdc9457SAndroid Build Coastguard Worker // Auto-generated file. Do not edit!
2*4bdc9457SAndroid Build Coastguard Worker // Template: src/f32-vscaleextexp/avx512f-p5-scalef.c.in
3*4bdc9457SAndroid Build Coastguard Worker // Generator: tools/xngen
4*4bdc9457SAndroid Build Coastguard Worker //
5*4bdc9457SAndroid Build Coastguard Worker // Copyright 2019 Google LLC
6*4bdc9457SAndroid Build Coastguard Worker //
7*4bdc9457SAndroid Build Coastguard Worker // This source code is licensed under the BSD-style license found in the
8*4bdc9457SAndroid Build Coastguard Worker // LICENSE file in the root directory of this source tree.
9*4bdc9457SAndroid Build Coastguard Worker
10*4bdc9457SAndroid Build Coastguard Worker #include <assert.h>
11*4bdc9457SAndroid Build Coastguard Worker
12*4bdc9457SAndroid Build Coastguard Worker #include <immintrin.h>
13*4bdc9457SAndroid Build Coastguard Worker
14*4bdc9457SAndroid Build Coastguard Worker #include <xnnpack/common.h>
15*4bdc9457SAndroid Build Coastguard Worker #include <xnnpack/intrinsics-polyfill.h>
16*4bdc9457SAndroid Build Coastguard Worker #include <xnnpack/vscaleextexp.h>
17*4bdc9457SAndroid Build Coastguard Worker
18*4bdc9457SAndroid Build Coastguard Worker
xnn_f32_vscaleextexp_ukernel__avx512f_p5_scalef_x96(size_t elements,const float * x,float * y,float scale_value,float scale_exp)19*4bdc9457SAndroid Build Coastguard Worker void xnn_f32_vscaleextexp_ukernel__avx512f_p5_scalef_x96(
20*4bdc9457SAndroid Build Coastguard Worker size_t elements,
21*4bdc9457SAndroid Build Coastguard Worker const float* x,
22*4bdc9457SAndroid Build Coastguard Worker float* y,
23*4bdc9457SAndroid Build Coastguard Worker float scale_value,
24*4bdc9457SAndroid Build Coastguard Worker float scale_exp)
25*4bdc9457SAndroid Build Coastguard Worker {
26*4bdc9457SAndroid Build Coastguard Worker assert(elements % sizeof(float) == 0);
27*4bdc9457SAndroid Build Coastguard Worker
28*4bdc9457SAndroid Build Coastguard Worker const __m512 vlog2e = _mm512_set1_ps(0x1.715476p+0f);
29*4bdc9457SAndroid Build Coastguard Worker const __m512 vminus_ln2_hi = _mm512_set1_ps(-0x1.62E43p-1f);
30*4bdc9457SAndroid Build Coastguard Worker const __m512 vminus_ln2_lo = _mm512_set1_ps(0x1.05C61p-29f);
31*4bdc9457SAndroid Build Coastguard Worker
32*4bdc9457SAndroid Build Coastguard Worker const __m512 vc0 = _mm512_set1_ps(1.0f);
33*4bdc9457SAndroid Build Coastguard Worker const __m512 vc1 = _mm512_set1_ps(0x1.FFFFF6p-1f);
34*4bdc9457SAndroid Build Coastguard Worker const __m512 vc2 = _mm512_set1_ps(0x1.FFFDC6p-2f);
35*4bdc9457SAndroid Build Coastguard Worker const __m512 vc3 = _mm512_set1_ps(0x1.555A80p-3f);
36*4bdc9457SAndroid Build Coastguard Worker const __m512 vc4 = _mm512_set1_ps(0x1.573A1Ap-5f);
37*4bdc9457SAndroid Build Coastguard Worker const __m512 vc5 = _mm512_set1_ps(0x1.0F9F9Cp-7f);
38*4bdc9457SAndroid Build Coastguard Worker
39*4bdc9457SAndroid Build Coastguard Worker const __m512 vscalev = _mm512_set1_ps(scale_value);
40*4bdc9457SAndroid Build Coastguard Worker const __m512 vscalee = _mm512_set1_ps(scale_exp);
41*4bdc9457SAndroid Build Coastguard Worker
42*4bdc9457SAndroid Build Coastguard Worker for (; elements >= 96 * sizeof(float); elements -= 96 * sizeof(float)) {
43*4bdc9457SAndroid Build Coastguard Worker // Load 96 (6x16) inputs at a time.
44*4bdc9457SAndroid Build Coastguard Worker const __m512 vx0 = _mm512_loadu_ps(x);
45*4bdc9457SAndroid Build Coastguard Worker const __m512 vx1 = _mm512_loadu_ps(x + 16);
46*4bdc9457SAndroid Build Coastguard Worker const __m512 vx2 = _mm512_loadu_ps(x + 32);
47*4bdc9457SAndroid Build Coastguard Worker const __m512 vx3 = _mm512_loadu_ps(x + 48);
48*4bdc9457SAndroid Build Coastguard Worker const __m512 vx4 = _mm512_loadu_ps(x + 64);
49*4bdc9457SAndroid Build Coastguard Worker const __m512 vx5 = _mm512_loadu_ps(x + 80);
50*4bdc9457SAndroid Build Coastguard Worker x += 96;
51*4bdc9457SAndroid Build Coastguard Worker
52*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument elements := round(x / log(2)).
53*4bdc9457SAndroid Build Coastguard Worker const __m512 vn0 = _mm512_roundscale_ps(_mm512_mul_ps(vx0, vlog2e), 0);
54*4bdc9457SAndroid Build Coastguard Worker const __m512 vn1 = _mm512_roundscale_ps(_mm512_mul_ps(vx1, vlog2e), 0);
55*4bdc9457SAndroid Build Coastguard Worker const __m512 vn2 = _mm512_roundscale_ps(_mm512_mul_ps(vx2, vlog2e), 0);
56*4bdc9457SAndroid Build Coastguard Worker const __m512 vn3 = _mm512_roundscale_ps(_mm512_mul_ps(vx3, vlog2e), 0);
57*4bdc9457SAndroid Build Coastguard Worker const __m512 vn4 = _mm512_roundscale_ps(_mm512_mul_ps(vx4, vlog2e), 0);
58*4bdc9457SAndroid Build Coastguard Worker const __m512 vn5 = _mm512_roundscale_ps(_mm512_mul_ps(vx5, vlog2e), 0);
59*4bdc9457SAndroid Build Coastguard Worker
60*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument t := x - elements * log(2).
61*4bdc9457SAndroid Build Coastguard Worker // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
62*4bdc9457SAndroid Build Coastguard Worker __m512 vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_hi, vx0);
63*4bdc9457SAndroid Build Coastguard Worker __m512 vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_hi, vx1);
64*4bdc9457SAndroid Build Coastguard Worker __m512 vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_hi, vx2);
65*4bdc9457SAndroid Build Coastguard Worker __m512 vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_hi, vx3);
66*4bdc9457SAndroid Build Coastguard Worker __m512 vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_hi, vx4);
67*4bdc9457SAndroid Build Coastguard Worker __m512 vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_hi, vx5);
68*4bdc9457SAndroid Build Coastguard Worker
69*4bdc9457SAndroid Build Coastguard Worker vt0 = _mm512_fmadd_ps(vn0, vminus_ln2_lo, vt0);
70*4bdc9457SAndroid Build Coastguard Worker vt1 = _mm512_fmadd_ps(vn1, vminus_ln2_lo, vt1);
71*4bdc9457SAndroid Build Coastguard Worker vt2 = _mm512_fmadd_ps(vn2, vminus_ln2_lo, vt2);
72*4bdc9457SAndroid Build Coastguard Worker vt3 = _mm512_fmadd_ps(vn3, vminus_ln2_lo, vt3);
73*4bdc9457SAndroid Build Coastguard Worker vt4 = _mm512_fmadd_ps(vn4, vminus_ln2_lo, vt4);
74*4bdc9457SAndroid Build Coastguard Worker vt5 = _mm512_fmadd_ps(vn5, vminus_ln2_lo, vt5);
75*4bdc9457SAndroid Build Coastguard Worker
76*4bdc9457SAndroid Build Coastguard Worker // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
77*4bdc9457SAndroid Build Coastguard Worker __m512 vp0 = _mm512_fmadd_ps(vc5, vt0, vc4);
78*4bdc9457SAndroid Build Coastguard Worker __m512 vp1 = _mm512_fmadd_ps(vc5, vt1, vc4);
79*4bdc9457SAndroid Build Coastguard Worker __m512 vp2 = _mm512_fmadd_ps(vc5, vt2, vc4);
80*4bdc9457SAndroid Build Coastguard Worker __m512 vp3 = _mm512_fmadd_ps(vc5, vt3, vc4);
81*4bdc9457SAndroid Build Coastguard Worker __m512 vp4 = _mm512_fmadd_ps(vc5, vt4, vc4);
82*4bdc9457SAndroid Build Coastguard Worker __m512 vp5 = _mm512_fmadd_ps(vc5, vt5, vc4);
83*4bdc9457SAndroid Build Coastguard Worker
84*4bdc9457SAndroid Build Coastguard Worker vp0 = _mm512_fmadd_ps(vp0, vt0, vc3);
85*4bdc9457SAndroid Build Coastguard Worker vp1 = _mm512_fmadd_ps(vp1, vt1, vc3);
86*4bdc9457SAndroid Build Coastguard Worker vp2 = _mm512_fmadd_ps(vp2, vt2, vc3);
87*4bdc9457SAndroid Build Coastguard Worker vp3 = _mm512_fmadd_ps(vp3, vt3, vc3);
88*4bdc9457SAndroid Build Coastguard Worker vp4 = _mm512_fmadd_ps(vp4, vt4, vc3);
89*4bdc9457SAndroid Build Coastguard Worker vp5 = _mm512_fmadd_ps(vp5, vt5, vc3);
90*4bdc9457SAndroid Build Coastguard Worker
91*4bdc9457SAndroid Build Coastguard Worker vp0 = _mm512_fmadd_ps(vp0, vt0, vc2);
92*4bdc9457SAndroid Build Coastguard Worker vp1 = _mm512_fmadd_ps(vp1, vt1, vc2);
93*4bdc9457SAndroid Build Coastguard Worker vp2 = _mm512_fmadd_ps(vp2, vt2, vc2);
94*4bdc9457SAndroid Build Coastguard Worker vp3 = _mm512_fmadd_ps(vp3, vt3, vc2);
95*4bdc9457SAndroid Build Coastguard Worker vp4 = _mm512_fmadd_ps(vp4, vt4, vc2);
96*4bdc9457SAndroid Build Coastguard Worker vp5 = _mm512_fmadd_ps(vp5, vt5, vc2);
97*4bdc9457SAndroid Build Coastguard Worker
98*4bdc9457SAndroid Build Coastguard Worker vp0 = _mm512_fmadd_ps(vp0, vt0, vc1);
99*4bdc9457SAndroid Build Coastguard Worker vp1 = _mm512_fmadd_ps(vp1, vt1, vc1);
100*4bdc9457SAndroid Build Coastguard Worker vp2 = _mm512_fmadd_ps(vp2, vt2, vc1);
101*4bdc9457SAndroid Build Coastguard Worker vp3 = _mm512_fmadd_ps(vp3, vt3, vc1);
102*4bdc9457SAndroid Build Coastguard Worker vp4 = _mm512_fmadd_ps(vp4, vt4, vc1);
103*4bdc9457SAndroid Build Coastguard Worker vp5 = _mm512_fmadd_ps(vp5, vt5, vc1);
104*4bdc9457SAndroid Build Coastguard Worker
105*4bdc9457SAndroid Build Coastguard Worker vp0 = _mm512_fmadd_ps(vp0, vt0, vc0);
106*4bdc9457SAndroid Build Coastguard Worker vp1 = _mm512_fmadd_ps(vp1, vt1, vc0);
107*4bdc9457SAndroid Build Coastguard Worker vp2 = _mm512_fmadd_ps(vp2, vt2, vc0);
108*4bdc9457SAndroid Build Coastguard Worker vp3 = _mm512_fmadd_ps(vp3, vt3, vc0);
109*4bdc9457SAndroid Build Coastguard Worker vp4 = _mm512_fmadd_ps(vp4, vt4, vc0);
110*4bdc9457SAndroid Build Coastguard Worker vp5 = _mm512_fmadd_ps(vp5, vt5, vc0);
111*4bdc9457SAndroid Build Coastguard Worker
112*4bdc9457SAndroid Build Coastguard Worker // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation where
113*4bdc9457SAndroid Build Coastguard Worker // - vnX is "exponent"
114*4bdc9457SAndroid Build Coastguard Worker // - vpX is "mantissa"
115*4bdc9457SAndroid Build Coastguard Worker //
116*4bdc9457SAndroid Build Coastguard Worker // exp2(ae) * av * exp2(be) * bv =
117*4bdc9457SAndroid Build Coastguard Worker // = exp2(ae + be) * (av * bv)
118*4bdc9457SAndroid Build Coastguard Worker __m512 vf0 = _mm512_mul_ps(vp0, vscalev);
119*4bdc9457SAndroid Build Coastguard Worker __m512 vf1 = _mm512_mul_ps(vp1, vscalev);
120*4bdc9457SAndroid Build Coastguard Worker __m512 vf2 = _mm512_mul_ps(vp2, vscalev);
121*4bdc9457SAndroid Build Coastguard Worker __m512 vf3 = _mm512_mul_ps(vp3, vscalev);
122*4bdc9457SAndroid Build Coastguard Worker __m512 vf4 = _mm512_mul_ps(vp4, vscalev);
123*4bdc9457SAndroid Build Coastguard Worker __m512 vf5 = _mm512_mul_ps(vp5, vscalev);
124*4bdc9457SAndroid Build Coastguard Worker
125*4bdc9457SAndroid Build Coastguard Worker const __m512 ve0 = _mm512_add_ps(vn0, vscalee);
126*4bdc9457SAndroid Build Coastguard Worker const __m512 ve1 = _mm512_add_ps(vn1, vscalee);
127*4bdc9457SAndroid Build Coastguard Worker const __m512 ve2 = _mm512_add_ps(vn2, vscalee);
128*4bdc9457SAndroid Build Coastguard Worker const __m512 ve3 = _mm512_add_ps(vn3, vscalee);
129*4bdc9457SAndroid Build Coastguard Worker const __m512 ve4 = _mm512_add_ps(vn4, vscalee);
130*4bdc9457SAndroid Build Coastguard Worker const __m512 ve5 = _mm512_add_ps(vn5, vscalee);
131*4bdc9457SAndroid Build Coastguard Worker
132*4bdc9457SAndroid Build Coastguard Worker // Multiply "mantissa" by the exp2("exponent").
133*4bdc9457SAndroid Build Coastguard Worker vf0 = _mm512_scalef_ps(vf0, ve0);
134*4bdc9457SAndroid Build Coastguard Worker vf1 = _mm512_scalef_ps(vf1, ve1);
135*4bdc9457SAndroid Build Coastguard Worker vf2 = _mm512_scalef_ps(vf2, ve2);
136*4bdc9457SAndroid Build Coastguard Worker vf3 = _mm512_scalef_ps(vf3, ve3);
137*4bdc9457SAndroid Build Coastguard Worker vf4 = _mm512_scalef_ps(vf4, ve4);
138*4bdc9457SAndroid Build Coastguard Worker vf5 = _mm512_scalef_ps(vf5, ve5);
139*4bdc9457SAndroid Build Coastguard Worker
140*4bdc9457SAndroid Build Coastguard Worker // Store 128 (8x16) results at a time.
141*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y, vf0);
142*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 0, vf0);
143*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 16, vf1);
144*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 32, vf2);
145*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 48, vf3);
146*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 64, vf4);
147*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y + 80, vf5);
148*4bdc9457SAndroid Build Coastguard Worker y += 96;
149*4bdc9457SAndroid Build Coastguard Worker }
150*4bdc9457SAndroid Build Coastguard Worker
151*4bdc9457SAndroid Build Coastguard Worker for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
152*4bdc9457SAndroid Build Coastguard Worker // Load 16 inputs at a time.
153*4bdc9457SAndroid Build Coastguard Worker const __m512 vx = _mm512_loadu_ps(x);
154*4bdc9457SAndroid Build Coastguard Worker x += 16;
155*4bdc9457SAndroid Build Coastguard Worker
156*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument elements := round(x / log(2)).
157*4bdc9457SAndroid Build Coastguard Worker const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
158*4bdc9457SAndroid Build Coastguard Worker
159*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument t := x - elements * log(2).
160*4bdc9457SAndroid Build Coastguard Worker // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
161*4bdc9457SAndroid Build Coastguard Worker __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
162*4bdc9457SAndroid Build Coastguard Worker vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
163*4bdc9457SAndroid Build Coastguard Worker
164*4bdc9457SAndroid Build Coastguard Worker // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
165*4bdc9457SAndroid Build Coastguard Worker __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
166*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc3);
167*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc2);
168*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc1);
169*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc0);
170*4bdc9457SAndroid Build Coastguard Worker
171*4bdc9457SAndroid Build Coastguard Worker // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
172*4bdc9457SAndroid Build Coastguard Worker __m512 vf = _mm512_mul_ps(vp, vscalev);
173*4bdc9457SAndroid Build Coastguard Worker const __m512 ve = _mm512_add_ps(vn, vscalee);
174*4bdc9457SAndroid Build Coastguard Worker
175*4bdc9457SAndroid Build Coastguard Worker // Multiply "mantissa" by the exp2("exponent").
176*4bdc9457SAndroid Build Coastguard Worker vf = _mm512_scalef_ps(vf, ve);
177*4bdc9457SAndroid Build Coastguard Worker
178*4bdc9457SAndroid Build Coastguard Worker // Store 16 results at a time.
179*4bdc9457SAndroid Build Coastguard Worker _mm512_storeu_ps(y, vf);
180*4bdc9457SAndroid Build Coastguard Worker y += 16;
181*4bdc9457SAndroid Build Coastguard Worker }
182*4bdc9457SAndroid Build Coastguard Worker if XNN_UNLIKELY(elements != 0) {
183*4bdc9457SAndroid Build Coastguard Worker // Prepare mask for valid 32-bit elements (depends on elements).
184*4bdc9457SAndroid Build Coastguard Worker elements >>= 2 /* log2(sizeof(float)) */;
185*4bdc9457SAndroid Build Coastguard Worker const __mmask16 vmask = _cvtu32_mask16((uint16_t) ((uint32_t) (UINT32_C(1) << elements) - UINT32_C(1)));
186*4bdc9457SAndroid Build Coastguard Worker
187*4bdc9457SAndroid Build Coastguard Worker // Load up to 15 inputs at a time.
188*4bdc9457SAndroid Build Coastguard Worker const __m512 vx = _mm512_maskz_loadu_ps(vmask, x);
189*4bdc9457SAndroid Build Coastguard Worker
190*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument elements := round(x / log(2)).
191*4bdc9457SAndroid Build Coastguard Worker const __m512 vn = _mm512_roundscale_ps(_mm512_mul_ps(vx, vlog2e), 0);
192*4bdc9457SAndroid Build Coastguard Worker
193*4bdc9457SAndroid Build Coastguard Worker // Compute reduced argument t := x - elements * log(2).
194*4bdc9457SAndroid Build Coastguard Worker // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
195*4bdc9457SAndroid Build Coastguard Worker __m512 vt = _mm512_fmadd_ps(vn, vminus_ln2_hi, vx);
196*4bdc9457SAndroid Build Coastguard Worker vt = _mm512_fmadd_ps(vn, vminus_ln2_lo, vt);
197*4bdc9457SAndroid Build Coastguard Worker
198*4bdc9457SAndroid Build Coastguard Worker // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
199*4bdc9457SAndroid Build Coastguard Worker __m512 vp = _mm512_fmadd_ps(vc5, vt, vc4);
200*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc3);
201*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc2);
202*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc1);
203*4bdc9457SAndroid Build Coastguard Worker vp = _mm512_fmadd_ps(vp, vt, vc0);
204*4bdc9457SAndroid Build Coastguard Worker
205*4bdc9457SAndroid Build Coastguard Worker // Multiply "extended" floating-point numbers in ("mantissa", "exponent") representation.
206*4bdc9457SAndroid Build Coastguard Worker __m512 vf = _mm512_mul_ps(vp, vscalev);
207*4bdc9457SAndroid Build Coastguard Worker const __m512 ve = _mm512_add_ps(vn, vscalee);
208*4bdc9457SAndroid Build Coastguard Worker
209*4bdc9457SAndroid Build Coastguard Worker // Multiply "mantissa" by the exp2("exponent").
210*4bdc9457SAndroid Build Coastguard Worker vf = _mm512_scalef_ps(vf, ve);
211*4bdc9457SAndroid Build Coastguard Worker
212*4bdc9457SAndroid Build Coastguard Worker // Store up to 15 results at a time.
213*4bdc9457SAndroid Build Coastguard Worker _mm512_mask_storeu_ps(y, vmask, vf);
214*4bdc9457SAndroid Build Coastguard Worker }
215*4bdc9457SAndroid Build Coastguard Worker _mm256_zeroupper();
216*4bdc9457SAndroid Build Coastguard Worker }
217