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1 // Copyright (c) Facebook, Inc. and its affiliates.
2 // All rights reserved.
3 //
4 // Copyright 2019 Google LLC
5 //
6 // This source code is licensed under the BSD-style license found in the
7 // LICENSE file in the root directory of this source tree.
8 
9 #include <assert.h>
10 #include <stdint.h>
11 #include <stddef.h>
12 
13 #include <emmintrin.h>
14 
15 #include <fp16/bitcasts.h>
16 
17 #include <xnnpack/requantization-stubs.h>
18 
19 
xnn_qs8_requantize_gemmlowp__sse2(size_t n,const int32_t * input,float scale,int8_t zero_point,int8_t qmin,int8_t qmax,int8_t * output)20 void xnn_qs8_requantize_gemmlowp__sse2(
21     size_t n,
22     const int32_t* input,
23     float scale,
24     int8_t zero_point,
25     int8_t qmin,
26     int8_t qmax,
27     int8_t* output)
28 {
29   assert(n % 16 == 0);
30   assert(scale < 1.0f);
31   assert(scale >= 0x1.0p-32f);
32 
33   // Compute requantization parameters.
34   const uint32_t scale_bits = fp32_to_bits(scale);
35 
36   // Multiplier is in [0x40000000, 0x7FFFFF80] range.
37   const int32_t multiplier = (int32_t)(((scale_bits & UINT32_C(0x007FFFFF)) | UINT32_C(0x00800000)) << 7);
38   assert(multiplier >= INT32_C(0x40000000));
39   assert(multiplier <= INT32_C(0x7FFFFF80));
40 
41   // Shift is in [0, 31] range.
42   const int32_t shift = 127 + 31 - 32 - (fp32_to_bits(scale) >> 23);
43   assert(shift >= 0);
44   assert(shift < 32);
45 
46   const __m128i vmultiplier = _mm_set1_epi32(multiplier);
47   const __m128i vzero_point = _mm_set1_epi16((short) zero_point);
48   const __m128i vqmin = _mm_set1_epi16((short) qmin);
49   const __m128i vqmax = _mm_set1_epi16((short) qmax);
50   const __m128i vshift = _mm_cvtsi32_si128((int) shift);
51   const uint32_t remainder_mask = (UINT32_C(1) << shift) - UINT32_C(1);
52   const __m128i vremainder_mask = _mm_set1_epi32((int) remainder_mask);
53   const __m128i vthreshold = _mm_set1_epi32((int) (remainder_mask >> 1));
54   const __m128i vq31rounding = _mm_set1_epi64x(UINT64_C(0x40000000));
55   for (; n != 0; n -= 16) {
56     const __m128i x = _mm_loadu_si128((const __m128i*) input);
57     const __m128i y = _mm_loadu_si128((const __m128i*) (input + 4));
58     const __m128i z = _mm_loadu_si128((const __m128i*) (input + 8));
59     const __m128i w = _mm_loadu_si128((const __m128i*) (input + 12));
60     input += 16;
61 
62     const __m128i x_neg_mask = _mm_cmpgt_epi32(_mm_setzero_si128(), x);
63     const __m128i y_neg_mask = _mm_cmpgt_epi32(_mm_setzero_si128(), y);
64     const __m128i z_neg_mask = _mm_cmpgt_epi32(_mm_setzero_si128(), z);
65     const __m128i w_neg_mask = _mm_cmpgt_epi32(_mm_setzero_si128(), w);
66 
67     const __m128i x_abs = _mm_sub_epi32(_mm_xor_si128(x, x_neg_mask), x_neg_mask);
68     const __m128i y_abs = _mm_sub_epi32(_mm_xor_si128(y, y_neg_mask), y_neg_mask);
69     const __m128i z_abs = _mm_sub_epi32(_mm_xor_si128(z, z_neg_mask), z_neg_mask);
70     const __m128i w_abs = _mm_sub_epi32(_mm_xor_si128(w, w_neg_mask), w_neg_mask);
71 
72     const __m128i x_abs_rev = _mm_shuffle_epi32(x_abs, _MM_SHUFFLE(2, 3, 0, 1));
73     const __m128i y_abs_rev = _mm_shuffle_epi32(y_abs, _MM_SHUFFLE(2, 3, 0, 1));
74     const __m128i z_abs_rev = _mm_shuffle_epi32(z_abs, _MM_SHUFFLE(2, 3, 0, 1));
75     const __m128i w_abs_rev = _mm_shuffle_epi32(w_abs, _MM_SHUFFLE(2, 3, 0, 1));
76 
77     const __m128i x_abs_product_even = _mm_mul_epu32(x_abs, vmultiplier);
78     const __m128i y_abs_product_even = _mm_mul_epu32(y_abs, vmultiplier);
79     const __m128i z_abs_product_even = _mm_mul_epu32(z_abs, vmultiplier);
80     const __m128i w_abs_product_even = _mm_mul_epu32(w_abs, vmultiplier);
81 
82     const __m128i x_neg_mask_even = _mm_shuffle_epi32(x_neg_mask, _MM_SHUFFLE(2, 2, 0, 0));
83     const __m128i y_neg_mask_even = _mm_shuffle_epi32(y_neg_mask, _MM_SHUFFLE(2, 2, 0, 0));
84     const __m128i z_neg_mask_even = _mm_shuffle_epi32(z_neg_mask, _MM_SHUFFLE(2, 2, 0, 0));
85     const __m128i w_neg_mask_even = _mm_shuffle_epi32(w_neg_mask, _MM_SHUFFLE(2, 2, 0, 0));
86 
87     const __m128i x_product_even = _mm_sub_epi64(_mm_xor_si128(x_abs_product_even, x_neg_mask_even), x_neg_mask_even);
88     const __m128i y_product_even = _mm_sub_epi64(_mm_xor_si128(y_abs_product_even, y_neg_mask_even), y_neg_mask_even);
89     const __m128i z_product_even = _mm_sub_epi64(_mm_xor_si128(z_abs_product_even, z_neg_mask_even), z_neg_mask_even);
90     const __m128i w_product_even = _mm_sub_epi64(_mm_xor_si128(w_abs_product_even, w_neg_mask_even), w_neg_mask_even);
91 
92     const __m128i x_rounded_product_even = _mm_add_epi64(x_product_even, vq31rounding);
93     const __m128i y_rounded_product_even = _mm_add_epi64(y_product_even, vq31rounding);
94     const __m128i z_rounded_product_even = _mm_add_epi64(z_product_even, vq31rounding);
95     const __m128i w_rounded_product_even = _mm_add_epi64(w_product_even, vq31rounding);
96 
97     const __m128i x_abs_product_odd = _mm_mul_epu32(x_abs_rev, vmultiplier);
98     const __m128i y_abs_product_odd = _mm_mul_epu32(y_abs_rev, vmultiplier);
99     const __m128i z_abs_product_odd = _mm_mul_epu32(z_abs_rev, vmultiplier);
100     const __m128i w_abs_product_odd = _mm_mul_epu32(w_abs_rev, vmultiplier);
101 
102     const __m128i x_neg_mask_odd = _mm_shuffle_epi32(x_neg_mask, _MM_SHUFFLE(3, 3, 1, 1));
103     const __m128i y_neg_mask_odd = _mm_shuffle_epi32(y_neg_mask, _MM_SHUFFLE(3, 3, 1, 1));
104     const __m128i z_neg_mask_odd = _mm_shuffle_epi32(z_neg_mask, _MM_SHUFFLE(3, 3, 1, 1));
105     const __m128i w_neg_mask_odd = _mm_shuffle_epi32(w_neg_mask, _MM_SHUFFLE(3, 3, 1, 1));
106 
107     const __m128i x_product_odd = _mm_sub_epi64(_mm_xor_si128(x_abs_product_odd, x_neg_mask_odd), x_neg_mask_odd);
108     const __m128i y_product_odd = _mm_sub_epi64(_mm_xor_si128(y_abs_product_odd, y_neg_mask_odd), y_neg_mask_odd);
109     const __m128i z_product_odd = _mm_sub_epi64(_mm_xor_si128(z_abs_product_odd, z_neg_mask_odd), z_neg_mask_odd);
110     const __m128i w_product_odd = _mm_sub_epi64(_mm_xor_si128(w_abs_product_odd, w_neg_mask_odd), w_neg_mask_odd);
111 
112     const __m128i x_rounded_product_odd = _mm_add_epi64(x_product_odd, vq31rounding);
113     const __m128i y_rounded_product_odd = _mm_add_epi64(y_product_odd, vq31rounding);
114     const __m128i z_rounded_product_odd = _mm_add_epi64(z_product_odd, vq31rounding);
115     const __m128i w_rounded_product_odd = _mm_add_epi64(w_product_odd, vq31rounding);
116 
117     const __m128i x_q31product_even = _mm_srli_epi64(x_rounded_product_even, 31);
118     const __m128i x_q31product_odd = _mm_srli_epi64(x_rounded_product_odd, 31);
119     const __m128i y_q31product_even = _mm_srli_epi64(y_rounded_product_even, 31);
120     const __m128i y_q31product_odd = _mm_srli_epi64(y_rounded_product_odd, 31);
121     const __m128i z_q31product_even = _mm_srli_epi64(z_rounded_product_even, 31);
122     const __m128i z_q31product_odd = _mm_srli_epi64(z_rounded_product_odd, 31);
123     const __m128i w_q31product_even = _mm_srli_epi64(w_rounded_product_even, 31);
124     const __m128i w_q31product_odd = _mm_srli_epi64(w_rounded_product_odd, 31);
125 
126     const __m128i x_q31product_0213 = _mm_castps_si128(_mm_shuffle_ps(
127         _mm_castsi128_ps(x_q31product_even), _mm_castsi128_ps(x_q31product_odd), _MM_SHUFFLE(2, 0, 2, 0)));
128     const __m128i y_q31product_0213 = _mm_castps_si128(_mm_shuffle_ps(
129         _mm_castsi128_ps(y_q31product_even), _mm_castsi128_ps(y_q31product_odd), _MM_SHUFFLE(2, 0, 2, 0)));
130     const __m128i z_q31product_0213 = _mm_castps_si128(_mm_shuffle_ps(
131         _mm_castsi128_ps(z_q31product_even), _mm_castsi128_ps(z_q31product_odd), _MM_SHUFFLE(2, 0, 2, 0)));
132     const __m128i w_q31product_0213 = _mm_castps_si128(_mm_shuffle_ps(
133         _mm_castsi128_ps(w_q31product_even), _mm_castsi128_ps(w_q31product_odd), _MM_SHUFFLE(2, 0, 2, 0)));
134 
135     const __m128i x_q31product = _mm_shuffle_epi32(x_q31product_0213, _MM_SHUFFLE(3, 1, 2, 0));
136     const __m128i y_q31product = _mm_shuffle_epi32(y_q31product_0213, _MM_SHUFFLE(3, 1, 2, 0));
137     const __m128i z_q31product = _mm_shuffle_epi32(z_q31product_0213, _MM_SHUFFLE(3, 1, 2, 0));
138     const __m128i w_q31product = _mm_shuffle_epi32(w_q31product_0213, _MM_SHUFFLE(3, 1, 2, 0));
139 
140     const __m128i x_remainder =
141         _mm_add_epi32(_mm_and_si128(x_q31product, vremainder_mask), _mm_cmpgt_epi32(_mm_setzero_si128(), x_q31product));
142     const __m128i y_remainder =
143         _mm_add_epi32(_mm_and_si128(y_q31product, vremainder_mask), _mm_cmpgt_epi32(_mm_setzero_si128(), y_q31product));
144     const __m128i z_remainder =
145         _mm_add_epi32(_mm_and_si128(z_q31product, vremainder_mask), _mm_cmpgt_epi32(_mm_setzero_si128(), z_q31product));
146     const __m128i w_remainder =
147         _mm_add_epi32(_mm_and_si128(w_q31product, vremainder_mask), _mm_cmpgt_epi32(_mm_setzero_si128(), w_q31product));
148 
149     const __m128i x_scaled =
150         _mm_sub_epi32(_mm_sra_epi32(x_q31product, vshift), _mm_cmpgt_epi32(x_remainder, vthreshold));
151     const __m128i y_scaled =
152         _mm_sub_epi32(_mm_sra_epi32(y_q31product, vshift), _mm_cmpgt_epi32(y_remainder, vthreshold));
153     const __m128i z_scaled =
154         _mm_sub_epi32(_mm_sra_epi32(z_q31product, vshift), _mm_cmpgt_epi32(z_remainder, vthreshold));
155     const __m128i w_scaled =
156         _mm_sub_epi32(_mm_sra_epi32(w_q31product, vshift), _mm_cmpgt_epi32(w_remainder, vthreshold));
157 
158     const __m128i xy_packed = _mm_adds_epi16(_mm_packs_epi32(x_scaled, y_scaled), vzero_point);
159     const __m128i zw_packed = _mm_adds_epi16(_mm_packs_epi32(z_scaled, w_scaled), vzero_point);
160     const __m128i xy_clamped = _mm_max_epi16(_mm_min_epi16(xy_packed, vqmax), vqmin);
161     const __m128i zw_clamped = _mm_max_epi16(_mm_min_epi16(zw_packed, vqmax), vqmin);
162     const __m128i xyzw_clamped = _mm_packs_epi16(xy_clamped, zw_clamped);
163 
164     // 16x PSHUFD
165     // 4x SHUFPS
166     // 8x PMULUDQ
167     // 8x PXOR (setzero)
168     // 12x PXOR
169     // 4x PAND
170     // 8x PADDQ
171     // 4x PADDD
172     // 8x PSUBQ
173     // 8x PSUBD
174     // 8x PSRLQ (immediate)
175     // 4x PSRAD (register)
176     // 12x PCMPGTD
177     // 2x PACKSSDW
178     // 2x PADDSW
179     // 2x PMAXSW
180     // 2x PMINSW
181     // 1x PACKSSWB
182     // ---------------------
183     // 113 instructions total
184 
185     _mm_storeu_si128((__m128i*) output, xyzw_clamped);
186     output += 16;
187   }
188 }
189