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1;
2; jfdctint.asm - accurate 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 slow-but-accurate integer implementation of the
18; forward DCT (Discrete Cosine Transform). The following code is based
19; directly on the IJG's original jfdctint.c; see the jfdctint.c for
20; more details.
21;
22; [TAB8]
23
24%include "jsimdext.inc"
25%include "jdct.inc"
26
27; --------------------------------------------------------------------------
28
29%define CONST_BITS  13
30%define PASS1_BITS  2
31
32%define DESCALE_P1  (CONST_BITS - PASS1_BITS)
33%define DESCALE_P2  (CONST_BITS + PASS1_BITS)
34
35%if CONST_BITS == 13
36F_0_298 equ  2446  ; FIX(0.298631336)
37F_0_390 equ  3196  ; FIX(0.390180644)
38F_0_541 equ  4433  ; FIX(0.541196100)
39F_0_765 equ  6270  ; FIX(0.765366865)
40F_0_899 equ  7373  ; FIX(0.899976223)
41F_1_175 equ  9633  ; FIX(1.175875602)
42F_1_501 equ 12299  ; FIX(1.501321110)
43F_1_847 equ 15137  ; FIX(1.847759065)
44F_1_961 equ 16069  ; FIX(1.961570560)
45F_2_053 equ 16819  ; FIX(2.053119869)
46F_2_562 equ 20995  ; FIX(2.562915447)
47F_3_072 equ 25172  ; FIX(3.072711026)
48%else
49; NASM cannot do compile-time arithmetic on floating-point constants.
50%define DESCALE(x, n)  (((x) + (1 << ((n) - 1))) >> (n))
51F_0_298 equ DESCALE( 320652955, 30 - CONST_BITS)  ; FIX(0.298631336)
52F_0_390 equ DESCALE( 418953276, 30 - CONST_BITS)  ; FIX(0.390180644)
53F_0_541 equ DESCALE( 581104887, 30 - CONST_BITS)  ; FIX(0.541196100)
54F_0_765 equ DESCALE( 821806413, 30 - CONST_BITS)  ; FIX(0.765366865)
55F_0_899 equ DESCALE( 966342111, 30 - CONST_BITS)  ; FIX(0.899976223)
56F_1_175 equ DESCALE(1262586813, 30 - CONST_BITS)  ; FIX(1.175875602)
57F_1_501 equ DESCALE(1612031267, 30 - CONST_BITS)  ; FIX(1.501321110)
58F_1_847 equ DESCALE(1984016188, 30 - CONST_BITS)  ; FIX(1.847759065)
59F_1_961 equ DESCALE(2106220350, 30 - CONST_BITS)  ; FIX(1.961570560)
60F_2_053 equ DESCALE(2204520673, 30 - CONST_BITS)  ; FIX(2.053119869)
61F_2_562 equ DESCALE(2751909506, 30 - CONST_BITS)  ; FIX(2.562915447)
62F_3_072 equ DESCALE(3299298341, 30 - CONST_BITS)  ; FIX(3.072711026)
63%endif
64
65; --------------------------------------------------------------------------
66    SECTION     SEG_CONST
67
68    alignz      32
69    GLOBAL_DATA(jconst_fdct_islow_sse2)
70
71EXTN(jconst_fdct_islow_sse2):
72
73PW_F130_F054   times 4 dw  (F_0_541 + F_0_765),  F_0_541
74PW_F054_MF130  times 4 dw  F_0_541, (F_0_541 - F_1_847)
75PW_MF078_F117  times 4 dw  (F_1_175 - F_1_961),  F_1_175
76PW_F117_F078   times 4 dw  F_1_175, (F_1_175 - F_0_390)
77PW_MF060_MF089 times 4 dw  (F_0_298 - F_0_899), -F_0_899
78PW_MF089_F060  times 4 dw -F_0_899, (F_1_501 - F_0_899)
79PW_MF050_MF256 times 4 dw  (F_2_053 - F_2_562), -F_2_562
80PW_MF256_F050  times 4 dw -F_2_562, (F_3_072 - F_2_562)
81PD_DESCALE_P1  times 4 dd  1 << (DESCALE_P1 - 1)
82PD_DESCALE_P2  times 4 dd  1 << (DESCALE_P2 - 1)
83PW_DESCALE_P2X times 8 dw  1 << (PASS1_BITS - 1)
84
85    alignz      32
86
87; --------------------------------------------------------------------------
88    SECTION     SEG_TEXT
89    BITS        64
90;
91; Perform the forward DCT on one block of samples.
92;
93; GLOBAL(void)
94; jsimd_fdct_islow_sse2(DCTELEM *data)
95;
96
97; r10 = DCTELEM *data
98
99%define wk(i)   rbp - (WK_NUM - (i)) * SIZEOF_XMMWORD  ; xmmword wk[WK_NUM]
100%define WK_NUM  6
101
102    align       32
103    GLOBAL_FUNCTION(jsimd_fdct_islow_sse2)
104
105EXTN(jsimd_fdct_islow_sse2):
106    push        rbp
107    mov         rax, rsp                     ; rax = original rbp
108    sub         rsp, byte 4
109    and         rsp, byte (-SIZEOF_XMMWORD)  ; align to 128 bits
110    mov         [rsp], rax
111    mov         rbp, rsp                     ; rbp = aligned rbp
112    lea         rsp, [wk(0)]
113    collect_args 1
114
115    ; ---- Pass 1: process rows.
116
117    mov         rdx, r10                ; (DCTELEM *)
118
119    movdqa      xmm0, XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)]
120    movdqa      xmm1, XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)]
121    movdqa      xmm2, XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)]
122    movdqa      xmm3, XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)]
123
124    ; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
125    ; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
126
127    movdqa      xmm4, xmm0              ; transpose coefficients(phase 1)
128    punpcklwd   xmm0, xmm1              ; xmm0=(00 10 01 11 02 12 03 13)
129    punpckhwd   xmm4, xmm1              ; xmm4=(04 14 05 15 06 16 07 17)
130    movdqa      xmm5, xmm2              ; transpose coefficients(phase 1)
131    punpcklwd   xmm2, xmm3              ; xmm2=(20 30 21 31 22 32 23 33)
132    punpckhwd   xmm5, xmm3              ; xmm5=(24 34 25 35 26 36 27 37)
133
134    movdqa      xmm6, XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)]
135    movdqa      xmm7, XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)]
136    movdqa      xmm1, XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)]
137    movdqa      xmm3, XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)]
138
139    ; xmm6=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
140    ; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
141
142    movdqa      XMMWORD [wk(0)], xmm2   ; wk(0)=(20 30 21 31 22 32 23 33)
143    movdqa      XMMWORD [wk(1)], xmm5   ; wk(1)=(24 34 25 35 26 36 27 37)
144
145    movdqa      xmm2, xmm6              ; transpose coefficients(phase 1)
146    punpcklwd   xmm6, xmm7              ; xmm6=(40 50 41 51 42 52 43 53)
147    punpckhwd   xmm2, xmm7              ; xmm2=(44 54 45 55 46 56 47 57)
148    movdqa      xmm5, xmm1              ; transpose coefficients(phase 1)
149    punpcklwd   xmm1, xmm3              ; xmm1=(60 70 61 71 62 72 63 73)
150    punpckhwd   xmm5, xmm3              ; xmm5=(64 74 65 75 66 76 67 77)
151
152    movdqa      xmm7, xmm6              ; transpose coefficients(phase 2)
153    punpckldq   xmm6, xmm1              ; xmm6=(40 50 60 70 41 51 61 71)
154    punpckhdq   xmm7, xmm1              ; xmm7=(42 52 62 72 43 53 63 73)
155    movdqa      xmm3, xmm2              ; transpose coefficients(phase 2)
156    punpckldq   xmm2, xmm5              ; xmm2=(44 54 64 74 45 55 65 75)
157    punpckhdq   xmm3, xmm5              ; xmm3=(46 56 66 76 47 57 67 77)
158
159    movdqa      xmm1, XMMWORD [wk(0)]   ; xmm1=(20 30 21 31 22 32 23 33)
160    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=(24 34 25 35 26 36 27 37)
161    movdqa      XMMWORD [wk(2)], xmm7   ; wk(2)=(42 52 62 72 43 53 63 73)
162    movdqa      XMMWORD [wk(3)], xmm2   ; wk(3)=(44 54 64 74 45 55 65 75)
163
164    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
165    punpckldq   xmm0, xmm1              ; xmm0=(00 10 20 30 01 11 21 31)
166    punpckhdq   xmm7, xmm1              ; xmm7=(02 12 22 32 03 13 23 33)
167    movdqa      xmm2, xmm4              ; transpose coefficients(phase 2)
168    punpckldq   xmm4, xmm5              ; xmm4=(04 14 24 34 05 15 25 35)
169    punpckhdq   xmm2, xmm5              ; xmm2=(06 16 26 36 07 17 27 37)
170
171    movdqa      xmm1, xmm0              ; transpose coefficients(phase 3)
172    punpcklqdq  xmm0, xmm6              ; xmm0=(00 10 20 30 40 50 60 70)=data0
173    punpckhqdq  xmm1, xmm6              ; xmm1=(01 11 21 31 41 51 61 71)=data1
174    movdqa      xmm5, xmm2              ; transpose coefficients(phase 3)
175    punpcklqdq  xmm2, xmm3              ; xmm2=(06 16 26 36 46 56 66 76)=data6
176    punpckhqdq  xmm5, xmm3              ; xmm5=(07 17 27 37 47 57 67 77)=data7
177
178    movdqa      xmm6, xmm1
179    movdqa      xmm3, xmm0
180    psubw       xmm1, xmm2              ; xmm1=data1-data6=tmp6
181    psubw       xmm0, xmm5              ; xmm0=data0-data7=tmp7
182    paddw       xmm6, xmm2              ; xmm6=data1+data6=tmp1
183    paddw       xmm3, xmm5              ; xmm3=data0+data7=tmp0
184
185    movdqa      xmm2, XMMWORD [wk(2)]   ; xmm2=(42 52 62 72 43 53 63 73)
186    movdqa      xmm5, XMMWORD [wk(3)]   ; xmm5=(44 54 64 74 45 55 65 75)
187    movdqa      XMMWORD [wk(0)], xmm1   ; wk(0)=tmp6
188    movdqa      XMMWORD [wk(1)], xmm0   ; wk(1)=tmp7
189
190    movdqa      xmm1, xmm7              ; transpose coefficients(phase 3)
191    punpcklqdq  xmm7, xmm2              ; xmm7=(02 12 22 32 42 52 62 72)=data2
192    punpckhqdq  xmm1, xmm2              ; xmm1=(03 13 23 33 43 53 63 73)=data3
193    movdqa      xmm0, xmm4              ; transpose coefficients(phase 3)
194    punpcklqdq  xmm4, xmm5              ; xmm4=(04 14 24 34 44 54 64 74)=data4
195    punpckhqdq  xmm0, xmm5              ; xmm0=(05 15 25 35 45 55 65 75)=data5
196
197    movdqa      xmm2, xmm1
198    movdqa      xmm5, xmm7
199    paddw       xmm1, xmm4              ; xmm1=data3+data4=tmp3
200    paddw       xmm7, xmm0              ; xmm7=data2+data5=tmp2
201    psubw       xmm2, xmm4              ; xmm2=data3-data4=tmp4
202    psubw       xmm5, xmm0              ; xmm5=data2-data5=tmp5
203
204    ; -- Even part
205
206    movdqa      xmm4, xmm3
207    movdqa      xmm0, xmm6
208    paddw       xmm3, xmm1              ; xmm3=tmp10
209    paddw       xmm6, xmm7              ; xmm6=tmp11
210    psubw       xmm4, xmm1              ; xmm4=tmp13
211    psubw       xmm0, xmm7              ; xmm0=tmp12
212
213    movdqa      xmm1, xmm3
214    paddw       xmm3, xmm6              ; xmm3=tmp10+tmp11
215    psubw       xmm1, xmm6              ; xmm1=tmp10-tmp11
216
217    psllw       xmm3, PASS1_BITS        ; xmm3=data0
218    psllw       xmm1, PASS1_BITS        ; xmm1=data4
219
220    movdqa      XMMWORD [wk(2)], xmm3   ; wk(2)=data0
221    movdqa      XMMWORD [wk(3)], xmm1   ; wk(3)=data4
222
223    ; (Original)
224    ; z1 = (tmp12 + tmp13) * 0.541196100;
225    ; data2 = z1 + tmp13 * 0.765366865;
226    ; data6 = z1 + tmp12 * -1.847759065;
227    ;
228    ; (This implementation)
229    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
230    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
231
232    movdqa      xmm7, xmm4              ; xmm4=tmp13
233    movdqa      xmm6, xmm4
234    punpcklwd   xmm7, xmm0              ; xmm0=tmp12
235    punpckhwd   xmm6, xmm0
236    movdqa      xmm4, xmm7
237    movdqa      xmm0, xmm6
238    pmaddwd     xmm7, [rel PW_F130_F054]   ; xmm7=data2L
239    pmaddwd     xmm6, [rel PW_F130_F054]   ; xmm6=data2H
240    pmaddwd     xmm4, [rel PW_F054_MF130]  ; xmm4=data6L
241    pmaddwd     xmm0, [rel PW_F054_MF130]  ; xmm0=data6H
242
243    paddd       xmm7, [rel PD_DESCALE_P1]
244    paddd       xmm6, [rel PD_DESCALE_P1]
245    psrad       xmm7, DESCALE_P1
246    psrad       xmm6, DESCALE_P1
247    paddd       xmm4, [rel PD_DESCALE_P1]
248    paddd       xmm0, [rel PD_DESCALE_P1]
249    psrad       xmm4, DESCALE_P1
250    psrad       xmm0, DESCALE_P1
251
252    packssdw    xmm7, xmm6              ; xmm7=data2
253    packssdw    xmm4, xmm0              ; xmm4=data6
254
255    movdqa      XMMWORD [wk(4)], xmm7   ; wk(4)=data2
256    movdqa      XMMWORD [wk(5)], xmm4   ; wk(5)=data6
257
258    ; -- Odd part
259
260    movdqa      xmm3, XMMWORD [wk(0)]   ; xmm3=tmp6
261    movdqa      xmm1, XMMWORD [wk(1)]   ; xmm1=tmp7
262
263    movdqa      xmm6, xmm2              ; xmm2=tmp4
264    movdqa      xmm0, xmm5              ; xmm5=tmp5
265    paddw       xmm6, xmm3              ; xmm6=z3
266    paddw       xmm0, xmm1              ; xmm0=z4
267
268    ; (Original)
269    ; z5 = (z3 + z4) * 1.175875602;
270    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
271    ; z3 += z5;  z4 += z5;
272    ;
273    ; (This implementation)
274    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
275    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
276
277    movdqa      xmm7, xmm6
278    movdqa      xmm4, xmm6
279    punpcklwd   xmm7, xmm0
280    punpckhwd   xmm4, xmm0
281    movdqa      xmm6, xmm7
282    movdqa      xmm0, xmm4
283    pmaddwd     xmm7, [rel PW_MF078_F117]  ; xmm7=z3L
284    pmaddwd     xmm4, [rel PW_MF078_F117]  ; xmm4=z3H
285    pmaddwd     xmm6, [rel PW_F117_F078]   ; xmm6=z4L
286    pmaddwd     xmm0, [rel PW_F117_F078]   ; xmm0=z4H
287
288    movdqa      XMMWORD [wk(0)], xmm7   ; wk(0)=z3L
289    movdqa      XMMWORD [wk(1)], xmm4   ; wk(1)=z3H
290
291    ; (Original)
292    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
293    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
294    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
295    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
296    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
297    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
298    ;
299    ; (This implementation)
300    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
301    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
302    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
303    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
304    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
305    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
306
307    movdqa      xmm7, xmm2
308    movdqa      xmm4, xmm2
309    punpcklwd   xmm7, xmm1
310    punpckhwd   xmm4, xmm1
311    movdqa      xmm2, xmm7
312    movdqa      xmm1, xmm4
313    pmaddwd     xmm7, [rel PW_MF060_MF089]  ; xmm7=tmp4L
314    pmaddwd     xmm4, [rel PW_MF060_MF089]  ; xmm4=tmp4H
315    pmaddwd     xmm2, [rel PW_MF089_F060]   ; xmm2=tmp7L
316    pmaddwd     xmm1, [rel PW_MF089_F060]   ; xmm1=tmp7H
317
318    paddd       xmm7, XMMWORD [wk(0)]   ; xmm7=data7L
319    paddd       xmm4, XMMWORD [wk(1)]   ; xmm4=data7H
320    paddd       xmm2, xmm6              ; xmm2=data1L
321    paddd       xmm1, xmm0              ; xmm1=data1H
322
323    paddd       xmm7, [rel PD_DESCALE_P1]
324    paddd       xmm4, [rel PD_DESCALE_P1]
325    psrad       xmm7, DESCALE_P1
326    psrad       xmm4, DESCALE_P1
327    paddd       xmm2, [rel PD_DESCALE_P1]
328    paddd       xmm1, [rel PD_DESCALE_P1]
329    psrad       xmm2, DESCALE_P1
330    psrad       xmm1, DESCALE_P1
331
332    packssdw    xmm7, xmm4              ; xmm7=data7
333    packssdw    xmm2, xmm1              ; xmm2=data1
334
335    movdqa      xmm4, xmm5
336    movdqa      xmm1, xmm5
337    punpcklwd   xmm4, xmm3
338    punpckhwd   xmm1, xmm3
339    movdqa      xmm5, xmm4
340    movdqa      xmm3, xmm1
341    pmaddwd     xmm4, [rel PW_MF050_MF256]  ; xmm4=tmp5L
342    pmaddwd     xmm1, [rel PW_MF050_MF256]  ; xmm1=tmp5H
343    pmaddwd     xmm5, [rel PW_MF256_F050]   ; xmm5=tmp6L
344    pmaddwd     xmm3, [rel PW_MF256_F050]   ; xmm3=tmp6H
345
346    paddd       xmm4, xmm6              ; xmm4=data5L
347    paddd       xmm1, xmm0              ; xmm1=data5H
348    paddd       xmm5, XMMWORD [wk(0)]   ; xmm5=data3L
349    paddd       xmm3, XMMWORD [wk(1)]   ; xmm3=data3H
350
351    paddd       xmm4, [rel PD_DESCALE_P1]
352    paddd       xmm1, [rel PD_DESCALE_P1]
353    psrad       xmm4, DESCALE_P1
354    psrad       xmm1, DESCALE_P1
355    paddd       xmm5, [rel PD_DESCALE_P1]
356    paddd       xmm3, [rel PD_DESCALE_P1]
357    psrad       xmm5, DESCALE_P1
358    psrad       xmm3, DESCALE_P1
359
360    packssdw    xmm4, xmm1              ; xmm4=data5
361    packssdw    xmm5, xmm3              ; xmm5=data3
362
363    ; ---- Pass 2: process columns.
364
365    movdqa      xmm6, XMMWORD [wk(2)]   ; xmm6=col0
366    movdqa      xmm0, XMMWORD [wk(4)]   ; xmm0=col2
367
368    ; xmm6=(00 10 20 30 40 50 60 70), xmm0=(02 12 22 32 42 52 62 72)
369    ; xmm2=(01 11 21 31 41 51 61 71), xmm5=(03 13 23 33 43 53 63 73)
370
371    movdqa      xmm1, xmm6              ; transpose coefficients(phase 1)
372    punpcklwd   xmm6, xmm2              ; xmm6=(00 01 10 11 20 21 30 31)
373    punpckhwd   xmm1, xmm2              ; xmm1=(40 41 50 51 60 61 70 71)
374    movdqa      xmm3, xmm0              ; transpose coefficients(phase 1)
375    punpcklwd   xmm0, xmm5              ; xmm0=(02 03 12 13 22 23 32 33)
376    punpckhwd   xmm3, xmm5              ; xmm3=(42 43 52 53 62 63 72 73)
377
378    movdqa      xmm2, XMMWORD [wk(3)]   ; xmm2=col4
379    movdqa      xmm5, XMMWORD [wk(5)]   ; xmm5=col6
380
381    ; xmm2=(04 14 24 34 44 54 64 74), xmm5=(06 16 26 36 46 56 66 76)
382    ; xmm4=(05 15 25 35 45 55 65 75), xmm7=(07 17 27 37 47 57 67 77)
383
384    movdqa      XMMWORD [wk(0)], xmm0   ; wk(0)=(02 03 12 13 22 23 32 33)
385    movdqa      XMMWORD [wk(1)], xmm3   ; wk(1)=(42 43 52 53 62 63 72 73)
386
387    movdqa      xmm0, xmm2              ; transpose coefficients(phase 1)
388    punpcklwd   xmm2, xmm4              ; xmm2=(04 05 14 15 24 25 34 35)
389    punpckhwd   xmm0, xmm4              ; xmm0=(44 45 54 55 64 65 74 75)
390    movdqa      xmm3, xmm5              ; transpose coefficients(phase 1)
391    punpcklwd   xmm5, xmm7              ; xmm5=(06 07 16 17 26 27 36 37)
392    punpckhwd   xmm3, xmm7              ; xmm3=(46 47 56 57 66 67 76 77)
393
394    movdqa      xmm4, xmm2              ; transpose coefficients(phase 2)
395    punpckldq   xmm2, xmm5              ; xmm2=(04 05 06 07 14 15 16 17)
396    punpckhdq   xmm4, xmm5              ; xmm4=(24 25 26 27 34 35 36 37)
397    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
398    punpckldq   xmm0, xmm3              ; xmm0=(44 45 46 47 54 55 56 57)
399    punpckhdq   xmm7, xmm3              ; xmm7=(64 65 66 67 74 75 76 77)
400
401    movdqa      xmm5, XMMWORD [wk(0)]   ; xmm5=(02 03 12 13 22 23 32 33)
402    movdqa      xmm3, XMMWORD [wk(1)]   ; xmm3=(42 43 52 53 62 63 72 73)
403    movdqa      XMMWORD [wk(2)], xmm4   ; wk(2)=(24 25 26 27 34 35 36 37)
404    movdqa      XMMWORD [wk(3)], xmm0   ; wk(3)=(44 45 46 47 54 55 56 57)
405
406    movdqa      xmm4, xmm6              ; transpose coefficients(phase 2)
407    punpckldq   xmm6, xmm5              ; xmm6=(00 01 02 03 10 11 12 13)
408    punpckhdq   xmm4, xmm5              ; xmm4=(20 21 22 23 30 31 32 33)
409    movdqa      xmm0, xmm1              ; transpose coefficients(phase 2)
410    punpckldq   xmm1, xmm3              ; xmm1=(40 41 42 43 50 51 52 53)
411    punpckhdq   xmm0, xmm3              ; xmm0=(60 61 62 63 70 71 72 73)
412
413    movdqa      xmm5, xmm6              ; transpose coefficients(phase 3)
414    punpcklqdq  xmm6, xmm2              ; xmm6=(00 01 02 03 04 05 06 07)=data0
415    punpckhqdq  xmm5, xmm2              ; xmm5=(10 11 12 13 14 15 16 17)=data1
416    movdqa      xmm3, xmm0              ; transpose coefficients(phase 3)
417    punpcklqdq  xmm0, xmm7              ; xmm0=(60 61 62 63 64 65 66 67)=data6
418    punpckhqdq  xmm3, xmm7              ; xmm3=(70 71 72 73 74 75 76 77)=data7
419
420    movdqa      xmm2, xmm5
421    movdqa      xmm7, xmm6
422    psubw       xmm5, xmm0              ; xmm5=data1-data6=tmp6
423    psubw       xmm6, xmm3              ; xmm6=data0-data7=tmp7
424    paddw       xmm2, xmm0              ; xmm2=data1+data6=tmp1
425    paddw       xmm7, xmm3              ; xmm7=data0+data7=tmp0
426
427    movdqa      xmm0, XMMWORD [wk(2)]   ; xmm0=(24 25 26 27 34 35 36 37)
428    movdqa      xmm3, XMMWORD [wk(3)]   ; xmm3=(44 45 46 47 54 55 56 57)
429    movdqa      XMMWORD [wk(0)], xmm5   ; wk(0)=tmp6
430    movdqa      XMMWORD [wk(1)], xmm6   ; wk(1)=tmp7
431
432    movdqa      xmm5, xmm4              ; transpose coefficients(phase 3)
433    punpcklqdq  xmm4, xmm0              ; xmm4=(20 21 22 23 24 25 26 27)=data2
434    punpckhqdq  xmm5, xmm0              ; xmm5=(30 31 32 33 34 35 36 37)=data3
435    movdqa      xmm6, xmm1              ; transpose coefficients(phase 3)
436    punpcklqdq  xmm1, xmm3              ; xmm1=(40 41 42 43 44 45 46 47)=data4
437    punpckhqdq  xmm6, xmm3              ; xmm6=(50 51 52 53 54 55 56 57)=data5
438
439    movdqa      xmm0, xmm5
440    movdqa      xmm3, xmm4
441    paddw       xmm5, xmm1              ; xmm5=data3+data4=tmp3
442    paddw       xmm4, xmm6              ; xmm4=data2+data5=tmp2
443    psubw       xmm0, xmm1              ; xmm0=data3-data4=tmp4
444    psubw       xmm3, xmm6              ; xmm3=data2-data5=tmp5
445
446    ; -- Even part
447
448    movdqa      xmm1, xmm7
449    movdqa      xmm6, xmm2
450    paddw       xmm7, xmm5              ; xmm7=tmp10
451    paddw       xmm2, xmm4              ; xmm2=tmp11
452    psubw       xmm1, xmm5              ; xmm1=tmp13
453    psubw       xmm6, xmm4              ; xmm6=tmp12
454
455    movdqa      xmm5, xmm7
456    paddw       xmm7, xmm2              ; xmm7=tmp10+tmp11
457    psubw       xmm5, xmm2              ; xmm5=tmp10-tmp11
458
459    paddw       xmm7, [rel PW_DESCALE_P2X]
460    paddw       xmm5, [rel PW_DESCALE_P2X]
461    psraw       xmm7, PASS1_BITS        ; xmm7=data0
462    psraw       xmm5, PASS1_BITS        ; xmm5=data4
463
464    movdqa      XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)], xmm7
465    movdqa      XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)], xmm5
466
467    ; (Original)
468    ; z1 = (tmp12 + tmp13) * 0.541196100;
469    ; data2 = z1 + tmp13 * 0.765366865;
470    ; data6 = z1 + tmp12 * -1.847759065;
471    ;
472    ; (This implementation)
473    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
474    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
475
476    movdqa      xmm4, xmm1              ; xmm1=tmp13
477    movdqa      xmm2, xmm1
478    punpcklwd   xmm4, xmm6              ; xmm6=tmp12
479    punpckhwd   xmm2, xmm6
480    movdqa      xmm1, xmm4
481    movdqa      xmm6, xmm2
482    pmaddwd     xmm4, [rel PW_F130_F054]   ; xmm4=data2L
483    pmaddwd     xmm2, [rel PW_F130_F054]   ; xmm2=data2H
484    pmaddwd     xmm1, [rel PW_F054_MF130]  ; xmm1=data6L
485    pmaddwd     xmm6, [rel PW_F054_MF130]  ; xmm6=data6H
486
487    paddd       xmm4, [rel PD_DESCALE_P2]
488    paddd       xmm2, [rel PD_DESCALE_P2]
489    psrad       xmm4, DESCALE_P2
490    psrad       xmm2, DESCALE_P2
491    paddd       xmm1, [rel PD_DESCALE_P2]
492    paddd       xmm6, [rel PD_DESCALE_P2]
493    psrad       xmm1, DESCALE_P2
494    psrad       xmm6, DESCALE_P2
495
496    packssdw    xmm4, xmm2              ; xmm4=data2
497    packssdw    xmm1, xmm6              ; xmm1=data6
498
499    movdqa      XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)], xmm4
500    movdqa      XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)], xmm1
501
502    ; -- Odd part
503
504    movdqa      xmm7, XMMWORD [wk(0)]   ; xmm7=tmp6
505    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=tmp7
506
507    movdqa      xmm2, xmm0              ; xmm0=tmp4
508    movdqa      xmm6, xmm3              ; xmm3=tmp5
509    paddw       xmm2, xmm7              ; xmm2=z3
510    paddw       xmm6, xmm5              ; xmm6=z4
511
512    ; (Original)
513    ; z5 = (z3 + z4) * 1.175875602;
514    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
515    ; z3 += z5;  z4 += z5;
516    ;
517    ; (This implementation)
518    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
519    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
520
521    movdqa      xmm4, xmm2
522    movdqa      xmm1, xmm2
523    punpcklwd   xmm4, xmm6
524    punpckhwd   xmm1, xmm6
525    movdqa      xmm2, xmm4
526    movdqa      xmm6, xmm1
527    pmaddwd     xmm4, [rel PW_MF078_F117]  ; xmm4=z3L
528    pmaddwd     xmm1, [rel PW_MF078_F117]  ; xmm1=z3H
529    pmaddwd     xmm2, [rel PW_F117_F078]   ; xmm2=z4L
530    pmaddwd     xmm6, [rel PW_F117_F078]   ; xmm6=z4H
531
532    movdqa      XMMWORD [wk(0)], xmm4   ; wk(0)=z3L
533    movdqa      XMMWORD [wk(1)], xmm1   ; wk(1)=z3H
534
535    ; (Original)
536    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
537    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
538    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
539    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
540    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
541    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
542    ;
543    ; (This implementation)
544    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
545    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
546    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
547    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
548    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
549    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
550
551    movdqa      xmm4, xmm0
552    movdqa      xmm1, xmm0
553    punpcklwd   xmm4, xmm5
554    punpckhwd   xmm1, xmm5
555    movdqa      xmm0, xmm4
556    movdqa      xmm5, xmm1
557    pmaddwd     xmm4, [rel PW_MF060_MF089]  ; xmm4=tmp4L
558    pmaddwd     xmm1, [rel PW_MF060_MF089]  ; xmm1=tmp4H
559    pmaddwd     xmm0, [rel PW_MF089_F060]   ; xmm0=tmp7L
560    pmaddwd     xmm5, [rel PW_MF089_F060]   ; xmm5=tmp7H
561
562    paddd       xmm4,  XMMWORD [wk(0)]  ; xmm4=data7L
563    paddd       xmm1,  XMMWORD [wk(1)]  ; xmm1=data7H
564    paddd       xmm0, xmm2              ; xmm0=data1L
565    paddd       xmm5, xmm6              ; xmm5=data1H
566
567    paddd       xmm4, [rel PD_DESCALE_P2]
568    paddd       xmm1, [rel PD_DESCALE_P2]
569    psrad       xmm4, DESCALE_P2
570    psrad       xmm1, DESCALE_P2
571    paddd       xmm0, [rel PD_DESCALE_P2]
572    paddd       xmm5, [rel PD_DESCALE_P2]
573    psrad       xmm0, DESCALE_P2
574    psrad       xmm5, DESCALE_P2
575
576    packssdw    xmm4, xmm1              ; xmm4=data7
577    packssdw    xmm0, xmm5              ; xmm0=data1
578
579    movdqa      XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)], xmm4
580    movdqa      XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)], xmm0
581
582    movdqa      xmm1, xmm3
583    movdqa      xmm5, xmm3
584    punpcklwd   xmm1, xmm7
585    punpckhwd   xmm5, xmm7
586    movdqa      xmm3, xmm1
587    movdqa      xmm7, xmm5
588    pmaddwd     xmm1, [rel PW_MF050_MF256]  ; xmm1=tmp5L
589    pmaddwd     xmm5, [rel PW_MF050_MF256]  ; xmm5=tmp5H
590    pmaddwd     xmm3, [rel PW_MF256_F050]   ; xmm3=tmp6L
591    pmaddwd     xmm7, [rel PW_MF256_F050]   ; xmm7=tmp6H
592
593    paddd       xmm1, xmm2              ; xmm1=data5L
594    paddd       xmm5, xmm6              ; xmm5=data5H
595    paddd       xmm3, XMMWORD [wk(0)]   ; xmm3=data3L
596    paddd       xmm7, XMMWORD [wk(1)]   ; xmm7=data3H
597
598    paddd       xmm1, [rel PD_DESCALE_P2]
599    paddd       xmm5, [rel PD_DESCALE_P2]
600    psrad       xmm1, DESCALE_P2
601    psrad       xmm5, DESCALE_P2
602    paddd       xmm3, [rel PD_DESCALE_P2]
603    paddd       xmm7, [rel PD_DESCALE_P2]
604    psrad       xmm3, DESCALE_P2
605    psrad       xmm7, DESCALE_P2
606
607    packssdw    xmm1, xmm5              ; xmm1=data5
608    packssdw    xmm3, xmm7              ; xmm3=data3
609
610    movdqa      XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)], xmm1
611    movdqa      XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)], xmm3
612
613    uncollect_args 1
614    mov         rsp, rbp                ; rsp <- aligned rbp
615    pop         rsp                     ; rsp <- original rbp
616    pop         rbp
617    ret
618
619; For some reason, the OS X linker does not honor the request to align the
620; segment unless we do this.
621    align       32
622