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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, 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  16
69        global  EXTN(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  16
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   16
103        global  EXTN(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
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
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   16
622