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1;
2; jfdctfst.asm - fast integer FDCT (64-bit SSE2)
3;
4; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
5; Copyright (C) 2009, 2016, D. R. Commander.
6;
7; Based on the x86 SIMD extension for IJG JPEG library
8; Copyright (C) 1999-2006, MIYASAKA Masaru.
9; For conditions of distribution and use, see copyright notice in jsimdext.inc
10;
11; This file should be assembled with NASM (Netwide Assembler),
12; can *not* be assembled with Microsoft's MASM or any compatible
13; assembler (including Borland's Turbo Assembler).
14; NASM is available from http://nasm.sourceforge.net/ or
15; http://sourceforge.net/project/showfiles.php?group_id=6208
16;
17; This file contains a fast, not so accurate integer implementation of
18; the forward DCT (Discrete Cosine Transform). The following code is
19; based directly on the IJG's original jfdctfst.c; see the jfdctfst.c
20; for more details.
21;
22; [TAB8]
23
24%include "jsimdext.inc"
25%include "jdct.inc"
26
27; --------------------------------------------------------------------------
28
29%define CONST_BITS  8  ; 14 is also OK.
30
31%if CONST_BITS == 8
32F_0_382 equ  98  ; FIX(0.382683433)
33F_0_541 equ 139  ; FIX(0.541196100)
34F_0_707 equ 181  ; FIX(0.707106781)
35F_1_306 equ 334  ; FIX(1.306562965)
36%else
37; NASM cannot do compile-time arithmetic on floating-point constants.
38%define DESCALE(x, n)  (((x) + (1 << ((n) - 1))) >> (n))
39F_0_382 equ DESCALE( 410903207, 30 - CONST_BITS)  ; FIX(0.382683433)
40F_0_541 equ DESCALE( 581104887, 30 - CONST_BITS)  ; FIX(0.541196100)
41F_0_707 equ DESCALE( 759250124, 30 - CONST_BITS)  ; FIX(0.707106781)
42F_1_306 equ DESCALE(1402911301, 30 - CONST_BITS)  ; FIX(1.306562965)
43%endif
44
45; --------------------------------------------------------------------------
46    SECTION     SEG_CONST
47
48; PRE_MULTIPLY_SCALE_BITS <= 2 (to avoid overflow)
49; CONST_BITS + CONST_SHIFT + PRE_MULTIPLY_SCALE_BITS == 16 (for pmulhw)
50
51%define PRE_MULTIPLY_SCALE_BITS  2
52%define CONST_SHIFT              (16 - PRE_MULTIPLY_SCALE_BITS - CONST_BITS)
53
54    alignz      32
55    GLOBAL_DATA(jconst_fdct_ifast_sse2)
56
57EXTN(jconst_fdct_ifast_sse2):
58
59PW_F0707 times 8 dw F_0_707 << CONST_SHIFT
60PW_F0382 times 8 dw F_0_382 << CONST_SHIFT
61PW_F0541 times 8 dw F_0_541 << CONST_SHIFT
62PW_F1306 times 8 dw F_1_306 << CONST_SHIFT
63
64    alignz      32
65
66; --------------------------------------------------------------------------
67    SECTION     SEG_TEXT
68    BITS        64
69;
70; Perform the forward DCT on one block of samples.
71;
72; GLOBAL(void)
73; jsimd_fdct_ifast_sse2(DCTELEM *data)
74;
75
76; r10 = DCTELEM *data
77
78%define wk(i)   rbp - (WK_NUM - (i)) * SIZEOF_XMMWORD  ; xmmword wk[WK_NUM]
79%define WK_NUM  2
80
81    align       32
82    GLOBAL_FUNCTION(jsimd_fdct_ifast_sse2)
83
84EXTN(jsimd_fdct_ifast_sse2):
85    push        rbp
86    mov         rax, rsp                     ; rax = original rbp
87    sub         rsp, byte 4
88    and         rsp, byte (-SIZEOF_XMMWORD)  ; align to 128 bits
89    mov         [rsp], rax
90    mov         rbp, rsp                     ; rbp = aligned rbp
91    lea         rsp, [wk(0)]
92    collect_args 1
93
94    ; ---- Pass 1: process rows.
95
96    mov         rdx, r10                ; (DCTELEM *)
97
98    movdqa      xmm0, XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)]
99    movdqa      xmm1, XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)]
100    movdqa      xmm2, XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)]
101    movdqa      xmm3, XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)]
102
103    ; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
104    ; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
105
106    movdqa      xmm4, xmm0              ; transpose coefficients(phase 1)
107    punpcklwd   xmm0, xmm1              ; xmm0=(00 10 01 11 02 12 03 13)
108    punpckhwd   xmm4, xmm1              ; xmm4=(04 14 05 15 06 16 07 17)
109    movdqa      xmm5, xmm2              ; transpose coefficients(phase 1)
110    punpcklwd   xmm2, xmm3              ; xmm2=(20 30 21 31 22 32 23 33)
111    punpckhwd   xmm5, xmm3              ; xmm5=(24 34 25 35 26 36 27 37)
112
113    movdqa      xmm6, XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)]
114    movdqa      xmm7, XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)]
115    movdqa      xmm1, XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)]
116    movdqa      xmm3, XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)]
117
118    ; xmm6=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
119    ; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
120
121    movdqa      XMMWORD [wk(0)], xmm2   ; wk(0)=(20 30 21 31 22 32 23 33)
122    movdqa      XMMWORD [wk(1)], xmm5   ; wk(1)=(24 34 25 35 26 36 27 37)
123
124    movdqa      xmm2, xmm6              ; transpose coefficients(phase 1)
125    punpcklwd   xmm6, xmm7              ; xmm6=(40 50 41 51 42 52 43 53)
126    punpckhwd   xmm2, xmm7              ; xmm2=(44 54 45 55 46 56 47 57)
127    movdqa      xmm5, xmm1              ; transpose coefficients(phase 1)
128    punpcklwd   xmm1, xmm3              ; xmm1=(60 70 61 71 62 72 63 73)
129    punpckhwd   xmm5, xmm3              ; xmm5=(64 74 65 75 66 76 67 77)
130
131    movdqa      xmm7, xmm6              ; transpose coefficients(phase 2)
132    punpckldq   xmm6, xmm1              ; xmm6=(40 50 60 70 41 51 61 71)
133    punpckhdq   xmm7, xmm1              ; xmm7=(42 52 62 72 43 53 63 73)
134    movdqa      xmm3, xmm2              ; transpose coefficients(phase 2)
135    punpckldq   xmm2, xmm5              ; xmm2=(44 54 64 74 45 55 65 75)
136    punpckhdq   xmm3, xmm5              ; xmm3=(46 56 66 76 47 57 67 77)
137
138    movdqa      xmm1, XMMWORD [wk(0)]   ; xmm1=(20 30 21 31 22 32 23 33)
139    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=(24 34 25 35 26 36 27 37)
140    movdqa      XMMWORD [wk(0)], xmm7   ; wk(0)=(42 52 62 72 43 53 63 73)
141    movdqa      XMMWORD [wk(1)], xmm2   ; wk(1)=(44 54 64 74 45 55 65 75)
142
143    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
144    punpckldq   xmm0, xmm1              ; xmm0=(00 10 20 30 01 11 21 31)
145    punpckhdq   xmm7, xmm1              ; xmm7=(02 12 22 32 03 13 23 33)
146    movdqa      xmm2, xmm4              ; transpose coefficients(phase 2)
147    punpckldq   xmm4, xmm5              ; xmm4=(04 14 24 34 05 15 25 35)
148    punpckhdq   xmm2, xmm5              ; xmm2=(06 16 26 36 07 17 27 37)
149
150    movdqa      xmm1, xmm0              ; transpose coefficients(phase 3)
151    punpcklqdq  xmm0, xmm6              ; xmm0=(00 10 20 30 40 50 60 70)=data0
152    punpckhqdq  xmm1, xmm6              ; xmm1=(01 11 21 31 41 51 61 71)=data1
153    movdqa      xmm5, xmm2              ; transpose coefficients(phase 3)
154    punpcklqdq  xmm2, xmm3              ; xmm2=(06 16 26 36 46 56 66 76)=data6
155    punpckhqdq  xmm5, xmm3              ; xmm5=(07 17 27 37 47 57 67 77)=data7
156
157    movdqa      xmm6, xmm1
158    movdqa      xmm3, xmm0
159    psubw       xmm1, xmm2              ; xmm1=data1-data6=tmp6
160    psubw       xmm0, xmm5              ; xmm0=data0-data7=tmp7
161    paddw       xmm6, xmm2              ; xmm6=data1+data6=tmp1
162    paddw       xmm3, xmm5              ; xmm3=data0+data7=tmp0
163
164    movdqa      xmm2, XMMWORD [wk(0)]   ; xmm2=(42 52 62 72 43 53 63 73)
165    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=(44 54 64 74 45 55 65 75)
166    movdqa      XMMWORD [wk(0)], xmm1   ; wk(0)=tmp6
167    movdqa      XMMWORD [wk(1)], xmm0   ; wk(1)=tmp7
168
169    movdqa      xmm1, xmm7              ; transpose coefficients(phase 3)
170    punpcklqdq  xmm7, xmm2              ; xmm7=(02 12 22 32 42 52 62 72)=data2
171    punpckhqdq  xmm1, xmm2              ; xmm1=(03 13 23 33 43 53 63 73)=data3
172    movdqa      xmm0, xmm4              ; transpose coefficients(phase 3)
173    punpcklqdq  xmm4, xmm5              ; xmm4=(04 14 24 34 44 54 64 74)=data4
174    punpckhqdq  xmm0, xmm5              ; xmm0=(05 15 25 35 45 55 65 75)=data5
175
176    movdqa      xmm2, xmm1
177    movdqa      xmm5, xmm7
178    paddw       xmm1, xmm4              ; xmm1=data3+data4=tmp3
179    paddw       xmm7, xmm0              ; xmm7=data2+data5=tmp2
180    psubw       xmm2, xmm4              ; xmm2=data3-data4=tmp4
181    psubw       xmm5, xmm0              ; xmm5=data2-data5=tmp5
182
183    ; -- Even part
184
185    movdqa      xmm4, xmm3
186    movdqa      xmm0, xmm6
187    psubw       xmm3, xmm1              ; xmm3=tmp13
188    psubw       xmm6, xmm7              ; xmm6=tmp12
189    paddw       xmm4, xmm1              ; xmm4=tmp10
190    paddw       xmm0, xmm7              ; xmm0=tmp11
191
192    paddw       xmm6, xmm3
193    psllw       xmm6, PRE_MULTIPLY_SCALE_BITS
194    pmulhw      xmm6, [rel PW_F0707]    ; xmm6=z1
195
196    movdqa      xmm1, xmm4
197    movdqa      xmm7, xmm3
198    psubw       xmm4, xmm0              ; xmm4=data4
199    psubw       xmm3, xmm6              ; xmm3=data6
200    paddw       xmm1, xmm0              ; xmm1=data0
201    paddw       xmm7, xmm6              ; xmm7=data2
202
203    movdqa      xmm0, XMMWORD [wk(0)]   ; xmm0=tmp6
204    movdqa      xmm6, XMMWORD [wk(1)]   ; xmm6=tmp7
205    movdqa      XMMWORD [wk(0)], xmm4   ; wk(0)=data4
206    movdqa      XMMWORD [wk(1)], xmm3   ; wk(1)=data6
207
208    ; -- Odd part
209
210    paddw       xmm2, xmm5              ; xmm2=tmp10
211    paddw       xmm5, xmm0              ; xmm5=tmp11
212    paddw       xmm0, xmm6              ; xmm0=tmp12, xmm6=tmp7
213
214    psllw       xmm2, PRE_MULTIPLY_SCALE_BITS
215    psllw       xmm0, PRE_MULTIPLY_SCALE_BITS
216
217    psllw       xmm5, PRE_MULTIPLY_SCALE_BITS
218    pmulhw      xmm5, [rel PW_F0707]    ; xmm5=z3
219
220    movdqa      xmm4, xmm2              ; xmm4=tmp10
221    psubw       xmm2, xmm0
222    pmulhw      xmm2, [rel PW_F0382]    ; xmm2=z5
223    pmulhw      xmm4, [rel PW_F0541]    ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
224    pmulhw      xmm0, [rel PW_F1306]    ; xmm0=MULTIPLY(tmp12,FIX_1_306562)
225    paddw       xmm4, xmm2              ; xmm4=z2
226    paddw       xmm0, xmm2              ; xmm0=z4
227
228    movdqa      xmm3, xmm6
229    psubw       xmm6, xmm5              ; xmm6=z13
230    paddw       xmm3, xmm5              ; xmm3=z11
231
232    movdqa      xmm2, xmm6
233    movdqa      xmm5, xmm3
234    psubw       xmm6, xmm4              ; xmm6=data3
235    psubw       xmm3, xmm0              ; xmm3=data7
236    paddw       xmm2, xmm4              ; xmm2=data5
237    paddw       xmm5, xmm0              ; xmm5=data1
238
239    ; ---- Pass 2: process columns.
240
241    ; xmm1=(00 10 20 30 40 50 60 70), xmm7=(02 12 22 32 42 52 62 72)
242    ; xmm5=(01 11 21 31 41 51 61 71), xmm6=(03 13 23 33 43 53 63 73)
243
244    movdqa      xmm4, xmm1              ; transpose coefficients(phase 1)
245    punpcklwd   xmm1, xmm5              ; xmm1=(00 01 10 11 20 21 30 31)
246    punpckhwd   xmm4, xmm5              ; xmm4=(40 41 50 51 60 61 70 71)
247    movdqa      xmm0, xmm7              ; transpose coefficients(phase 1)
248    punpcklwd   xmm7, xmm6              ; xmm7=(02 03 12 13 22 23 32 33)
249    punpckhwd   xmm0, xmm6              ; xmm0=(42 43 52 53 62 63 72 73)
250
251    movdqa      xmm5, XMMWORD [wk(0)]   ; xmm5=col4
252    movdqa      xmm6, XMMWORD [wk(1)]   ; xmm6=col6
253
254    ; xmm5=(04 14 24 34 44 54 64 74), xmm6=(06 16 26 36 46 56 66 76)
255    ; xmm2=(05 15 25 35 45 55 65 75), xmm3=(07 17 27 37 47 57 67 77)
256
257    movdqa      XMMWORD [wk(0)], xmm7   ; wk(0)=(02 03 12 13 22 23 32 33)
258    movdqa      XMMWORD [wk(1)], xmm0   ; wk(1)=(42 43 52 53 62 63 72 73)
259
260    movdqa      xmm7, xmm5              ; transpose coefficients(phase 1)
261    punpcklwd   xmm5, xmm2              ; xmm5=(04 05 14 15 24 25 34 35)
262    punpckhwd   xmm7, xmm2              ; xmm7=(44 45 54 55 64 65 74 75)
263    movdqa      xmm0, xmm6              ; transpose coefficients(phase 1)
264    punpcklwd   xmm6, xmm3              ; xmm6=(06 07 16 17 26 27 36 37)
265    punpckhwd   xmm0, xmm3              ; xmm0=(46 47 56 57 66 67 76 77)
266
267    movdqa      xmm2, xmm5              ; transpose coefficients(phase 2)
268    punpckldq   xmm5, xmm6              ; xmm5=(04 05 06 07 14 15 16 17)
269    punpckhdq   xmm2, xmm6              ; xmm2=(24 25 26 27 34 35 36 37)
270    movdqa      xmm3, xmm7              ; transpose coefficients(phase 2)
271    punpckldq   xmm7, xmm0              ; xmm7=(44 45 46 47 54 55 56 57)
272    punpckhdq   xmm3, xmm0              ; xmm3=(64 65 66 67 74 75 76 77)
273
274    movdqa      xmm6, XMMWORD [wk(0)]   ; xmm6=(02 03 12 13 22 23 32 33)
275    movdqa      xmm0, XMMWORD [wk(1)]   ; xmm0=(42 43 52 53 62 63 72 73)
276    movdqa      XMMWORD [wk(0)], xmm2   ; wk(0)=(24 25 26 27 34 35 36 37)
277    movdqa      XMMWORD [wk(1)], xmm7   ; wk(1)=(44 45 46 47 54 55 56 57)
278
279    movdqa      xmm2, xmm1              ; transpose coefficients(phase 2)
280    punpckldq   xmm1, xmm6              ; xmm1=(00 01 02 03 10 11 12 13)
281    punpckhdq   xmm2, xmm6              ; xmm2=(20 21 22 23 30 31 32 33)
282    movdqa      xmm7, xmm4              ; transpose coefficients(phase 2)
283    punpckldq   xmm4, xmm0              ; xmm4=(40 41 42 43 50 51 52 53)
284    punpckhdq   xmm7, xmm0              ; xmm7=(60 61 62 63 70 71 72 73)
285
286    movdqa      xmm6, xmm1              ; transpose coefficients(phase 3)
287    punpcklqdq  xmm1, xmm5              ; xmm1=(00 01 02 03 04 05 06 07)=data0
288    punpckhqdq  xmm6, xmm5              ; xmm6=(10 11 12 13 14 15 16 17)=data1
289    movdqa      xmm0, xmm7              ; transpose coefficients(phase 3)
290    punpcklqdq  xmm7, xmm3              ; xmm7=(60 61 62 63 64 65 66 67)=data6
291    punpckhqdq  xmm0, xmm3              ; xmm0=(70 71 72 73 74 75 76 77)=data7
292
293    movdqa      xmm5, xmm6
294    movdqa      xmm3, xmm1
295    psubw       xmm6, xmm7              ; xmm6=data1-data6=tmp6
296    psubw       xmm1, xmm0              ; xmm1=data0-data7=tmp7
297    paddw       xmm5, xmm7              ; xmm5=data1+data6=tmp1
298    paddw       xmm3, xmm0              ; xmm3=data0+data7=tmp0
299
300    movdqa      xmm7, XMMWORD [wk(0)]   ; xmm7=(24 25 26 27 34 35 36 37)
301    movdqa      xmm0, XMMWORD [wk(1)]   ; xmm0=(44 45 46 47 54 55 56 57)
302    movdqa      XMMWORD [wk(0)], xmm6   ; wk(0)=tmp6
303    movdqa      XMMWORD [wk(1)], xmm1   ; wk(1)=tmp7
304
305    movdqa      xmm6, xmm2              ; transpose coefficients(phase 3)
306    punpcklqdq  xmm2, xmm7              ; xmm2=(20 21 22 23 24 25 26 27)=data2
307    punpckhqdq  xmm6, xmm7              ; xmm6=(30 31 32 33 34 35 36 37)=data3
308    movdqa      xmm1, xmm4              ; transpose coefficients(phase 3)
309    punpcklqdq  xmm4, xmm0              ; xmm4=(40 41 42 43 44 45 46 47)=data4
310    punpckhqdq  xmm1, xmm0              ; xmm1=(50 51 52 53 54 55 56 57)=data5
311
312    movdqa      xmm7, xmm6
313    movdqa      xmm0, xmm2
314    paddw       xmm6, xmm4              ; xmm6=data3+data4=tmp3
315    paddw       xmm2, xmm1              ; xmm2=data2+data5=tmp2
316    psubw       xmm7, xmm4              ; xmm7=data3-data4=tmp4
317    psubw       xmm0, xmm1              ; xmm0=data2-data5=tmp5
318
319    ; -- Even part
320
321    movdqa      xmm4, xmm3
322    movdqa      xmm1, xmm5
323    psubw       xmm3, xmm6              ; xmm3=tmp13
324    psubw       xmm5, xmm2              ; xmm5=tmp12
325    paddw       xmm4, xmm6              ; xmm4=tmp10
326    paddw       xmm1, xmm2              ; xmm1=tmp11
327
328    paddw       xmm5, xmm3
329    psllw       xmm5, PRE_MULTIPLY_SCALE_BITS
330    pmulhw      xmm5, [rel PW_F0707]    ; xmm5=z1
331
332    movdqa      xmm6, xmm4
333    movdqa      xmm2, xmm3
334    psubw       xmm4, xmm1              ; xmm4=data4
335    psubw       xmm3, xmm5              ; xmm3=data6
336    paddw       xmm6, xmm1              ; xmm6=data0
337    paddw       xmm2, xmm5              ; xmm2=data2
338
339    movdqa      XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)], xmm4
340    movdqa      XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)], xmm3
341    movdqa      XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)], xmm6
342    movdqa      XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)], xmm2
343
344    ; -- Odd part
345
346    movdqa      xmm1, XMMWORD [wk(0)]   ; xmm1=tmp6
347    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=tmp7
348
349    paddw       xmm7, xmm0              ; xmm7=tmp10
350    paddw       xmm0, xmm1              ; xmm0=tmp11
351    paddw       xmm1, xmm5              ; xmm1=tmp12, xmm5=tmp7
352
353    psllw       xmm7, PRE_MULTIPLY_SCALE_BITS
354    psllw       xmm1, PRE_MULTIPLY_SCALE_BITS
355
356    psllw       xmm0, PRE_MULTIPLY_SCALE_BITS
357    pmulhw      xmm0, [rel PW_F0707]    ; xmm0=z3
358
359    movdqa      xmm4, xmm7              ; xmm4=tmp10
360    psubw       xmm7, xmm1
361    pmulhw      xmm7, [rel PW_F0382]    ; xmm7=z5
362    pmulhw      xmm4, [rel PW_F0541]    ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
363    pmulhw      xmm1, [rel PW_F1306]    ; xmm1=MULTIPLY(tmp12,FIX_1_306562)
364    paddw       xmm4, xmm7              ; xmm4=z2
365    paddw       xmm1, xmm7              ; xmm1=z4
366
367    movdqa      xmm3, xmm5
368    psubw       xmm5, xmm0              ; xmm5=z13
369    paddw       xmm3, xmm0              ; xmm3=z11
370
371    movdqa      xmm6, xmm5
372    movdqa      xmm2, xmm3
373    psubw       xmm5, xmm4              ; xmm5=data3
374    psubw       xmm3, xmm1              ; xmm3=data7
375    paddw       xmm6, xmm4              ; xmm6=data5
376    paddw       xmm2, xmm1              ; xmm2=data1
377
378    movdqa      XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)], xmm5
379    movdqa      XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)], xmm3
380    movdqa      XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)], xmm6
381    movdqa      XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)], xmm2
382
383    uncollect_args 1
384    mov         rsp, rbp                ; rsp <- aligned rbp
385    pop         rsp                     ; rsp <- original rbp
386    pop         rbp
387    ret
388
389; For some reason, the OS X linker does not honor the request to align the
390; segment unless we do this.
391    align       32
392