1;
2; jfdctint.asm - accurate integer FDCT (64-bit SSE2)
3;
4; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
5; Copyright 2009 D. R. Commander
6;
7; Based on
8; x86 SIMD extension for IJG JPEG library
9; Copyright (C) 1999-2006, MIYASAKA Masaru.
10; For conditions of distribution and use, see copyright notice in jsimdext.inc
11;
12; This file should be assembled with NASM (Netwide Assembler),
13; can *not* be assembled with Microsoft's MASM or any compatible
14; assembler (including Borland's Turbo Assembler).
15; NASM is available from http://nasm.sourceforge.net/ or
16; http://sourceforge.net/project/showfiles.php?group_id=6208
17;
18; This file contains a slow-but-accurate integer implementation of the
19; forward DCT (Discrete Cosine Transform). The following code is based
20; directly on the IJG's original jfdctint.c; see the jfdctint.c for
21; more details.
22;
23; [TAB8]
24
25%include "jsimdext.inc"
26%include "jdct.inc"
27
28; --------------------------------------------------------------------------
29
30%define CONST_BITS      13
31%define PASS1_BITS      2
32
33%define DESCALE_P1      (CONST_BITS-PASS1_BITS)
34%define DESCALE_P2      (CONST_BITS+PASS1_BITS)
35
36%if CONST_BITS == 13
37F_0_298 equ      2446           ; FIX(0.298631336)
38F_0_390 equ      3196           ; FIX(0.390180644)
39F_0_541 equ      4433           ; FIX(0.541196100)
40F_0_765 equ      6270           ; FIX(0.765366865)
41F_0_899 equ      7373           ; FIX(0.899976223)
42F_1_175 equ      9633           ; FIX(1.175875602)
43F_1_501 equ     12299           ; FIX(1.501321110)
44F_1_847 equ     15137           ; FIX(1.847759065)
45F_1_961 equ     16069           ; FIX(1.961570560)
46F_2_053 equ     16819           ; FIX(2.053119869)
47F_2_562 equ     20995           ; FIX(2.562915447)
48F_3_072 equ     25172           ; FIX(3.072711026)
49%else
50; NASM cannot do compile-time arithmetic on floating-point constants.
51%define DESCALE(x,n)  (((x)+(1<<((n)-1)))>>(n))
52F_0_298 equ     DESCALE( 320652955,30-CONST_BITS)       ; FIX(0.298631336)
53F_0_390 equ     DESCALE( 418953276,30-CONST_BITS)       ; FIX(0.390180644)
54F_0_541 equ     DESCALE( 581104887,30-CONST_BITS)       ; FIX(0.541196100)
55F_0_765 equ     DESCALE( 821806413,30-CONST_BITS)       ; FIX(0.765366865)
56F_0_899 equ     DESCALE( 966342111,30-CONST_BITS)       ; FIX(0.899976223)
57F_1_175 equ     DESCALE(1262586813,30-CONST_BITS)       ; FIX(1.175875602)
58F_1_501 equ     DESCALE(1612031267,30-CONST_BITS)       ; FIX(1.501321110)
59F_1_847 equ     DESCALE(1984016188,30-CONST_BITS)       ; FIX(1.847759065)
60F_1_961 equ     DESCALE(2106220350,30-CONST_BITS)       ; FIX(1.961570560)
61F_2_053 equ     DESCALE(2204520673,30-CONST_BITS)       ; FIX(2.053119869)
62F_2_562 equ     DESCALE(2751909506,30-CONST_BITS)       ; FIX(2.562915447)
63F_3_072 equ     DESCALE(3299298341,30-CONST_BITS)       ; FIX(3.072711026)
64%endif
65
66; --------------------------------------------------------------------------
67        SECTION SEG_CONST
68
69        alignz  16
70        global  EXTN(jconst_fdct_islow_sse2)
71
72EXTN(jconst_fdct_islow_sse2):
73
74PW_F130_F054    times 4 dw  (F_0_541+F_0_765), F_0_541
75PW_F054_MF130   times 4 dw  F_0_541, (F_0_541-F_1_847)
76PW_MF078_F117   times 4 dw  (F_1_175-F_1_961), F_1_175
77PW_F117_F078    times 4 dw  F_1_175, (F_1_175-F_0_390)
78PW_MF060_MF089  times 4 dw  (F_0_298-F_0_899),-F_0_899
79PW_MF089_F060   times 4 dw -F_0_899, (F_1_501-F_0_899)
80PW_MF050_MF256  times 4 dw  (F_2_053-F_2_562),-F_2_562
81PW_MF256_F050   times 4 dw -F_2_562, (F_3_072-F_2_562)
82PD_DESCALE_P1   times 4 dd  1 << (DESCALE_P1-1)
83PD_DESCALE_P2   times 4 dd  1 << (DESCALE_P2-1)
84PW_DESCALE_P2X  times 8 dw  1 << (PASS1_BITS-1)
85
86        alignz  16
87
88; --------------------------------------------------------------------------
89        SECTION SEG_TEXT
90        BITS    64
91;
92; Perform the forward DCT on one block of samples.
93;
94; GLOBAL(void)
95; jsimd_fdct_islow_sse2 (DCTELEM * data)
96;
97
98; r10 = DCTELEM * data
99
100%define wk(i)           rbp-(WK_NUM-(i))*SIZEOF_XMMWORD ; xmmword wk[WK_NUM]
101%define WK_NUM          6
102
103        align   16
104        global  EXTN(jsimd_fdct_islow_sse2)
105
106EXTN(jsimd_fdct_islow_sse2):
107        push    rbp
108        mov     rax,rsp                         ; rax = original rbp
109        sub     rsp, byte 4
110        and     rsp, byte (-SIZEOF_XMMWORD)     ; align to 128 bits
111        mov     [rsp],rax
112        mov     rbp,rsp                         ; rbp = aligned rbp
113        lea     rsp, [wk(0)]
114        collect_args
115
116        ; ---- Pass 1: process rows.
117
118        mov     rdx, r10        ; (DCTELEM *)
119
120        movdqa  xmm0, XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)]
121        movdqa  xmm1, XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)]
122        movdqa  xmm2, XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)]
123        movdqa  xmm3, XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)]
124
125        ; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
126        ; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
127
128        movdqa    xmm4,xmm0             ; transpose coefficients(phase 1)
129        punpcklwd xmm0,xmm1             ; xmm0=(00 10 01 11 02 12 03 13)
130        punpckhwd xmm4,xmm1             ; xmm4=(04 14 05 15 06 16 07 17)
131        movdqa    xmm5,xmm2             ; transpose coefficients(phase 1)
132        punpcklwd xmm2,xmm3             ; xmm2=(20 30 21 31 22 32 23 33)
133        punpckhwd xmm5,xmm3             ; xmm5=(24 34 25 35 26 36 27 37)
134
135        movdqa  xmm6, XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)]
136        movdqa  xmm7, XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)]
137        movdqa  xmm1, XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)]
138        movdqa  xmm3, XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)]
139
140        ; xmm6=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
141        ; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
142
143        movdqa  XMMWORD [wk(0)], xmm2   ; wk(0)=(20 30 21 31 22 32 23 33)
144        movdqa  XMMWORD [wk(1)], xmm5   ; wk(1)=(24 34 25 35 26 36 27 37)
145
146        movdqa    xmm2,xmm6             ; transpose coefficients(phase 1)
147        punpcklwd xmm6,xmm7             ; xmm6=(40 50 41 51 42 52 43 53)
148        punpckhwd xmm2,xmm7             ; xmm2=(44 54 45 55 46 56 47 57)
149        movdqa    xmm5,xmm1             ; transpose coefficients(phase 1)
150        punpcklwd xmm1,xmm3             ; xmm1=(60 70 61 71 62 72 63 73)
151        punpckhwd xmm5,xmm3             ; xmm5=(64 74 65 75 66 76 67 77)
152
153        movdqa    xmm7,xmm6             ; transpose coefficients(phase 2)
154        punpckldq xmm6,xmm1             ; xmm6=(40 50 60 70 41 51 61 71)
155        punpckhdq xmm7,xmm1             ; xmm7=(42 52 62 72 43 53 63 73)
156        movdqa    xmm3,xmm2             ; transpose coefficients(phase 2)
157        punpckldq xmm2,xmm5             ; xmm2=(44 54 64 74 45 55 65 75)
158        punpckhdq xmm3,xmm5             ; xmm3=(46 56 66 76 47 57 67 77)
159
160        movdqa  xmm1, XMMWORD [wk(0)]   ; xmm1=(20 30 21 31 22 32 23 33)
161        movdqa  xmm5, XMMWORD [wk(1)]   ; xmm5=(24 34 25 35 26 36 27 37)
162        movdqa  XMMWORD [wk(2)], xmm7   ; wk(2)=(42 52 62 72 43 53 63 73)
163        movdqa  XMMWORD [wk(3)], xmm2   ; wk(3)=(44 54 64 74 45 55 65 75)
164
165        movdqa    xmm7,xmm0             ; transpose coefficients(phase 2)
166        punpckldq xmm0,xmm1             ; xmm0=(00 10 20 30 01 11 21 31)
167        punpckhdq xmm7,xmm1             ; xmm7=(02 12 22 32 03 13 23 33)
168        movdqa    xmm2,xmm4             ; transpose coefficients(phase 2)
169        punpckldq xmm4,xmm5             ; xmm4=(04 14 24 34 05 15 25 35)
170        punpckhdq xmm2,xmm5             ; xmm2=(06 16 26 36 07 17 27 37)
171
172        movdqa     xmm1,xmm0            ; transpose coefficients(phase 3)
173        punpcklqdq xmm0,xmm6            ; xmm0=(00 10 20 30 40 50 60 70)=data0
174        punpckhqdq xmm1,xmm6            ; xmm1=(01 11 21 31 41 51 61 71)=data1
175        movdqa     xmm5,xmm2            ; transpose coefficients(phase 3)
176        punpcklqdq xmm2,xmm3            ; xmm2=(06 16 26 36 46 56 66 76)=data6
177        punpckhqdq xmm5,xmm3            ; xmm5=(07 17 27 37 47 57 67 77)=data7
178
179        movdqa  xmm6,xmm1
180        movdqa  xmm3,xmm0
181        psubw   xmm1,xmm2               ; xmm1=data1-data6=tmp6
182        psubw   xmm0,xmm5               ; xmm0=data0-data7=tmp7
183        paddw   xmm6,xmm2               ; xmm6=data1+data6=tmp1
184        paddw   xmm3,xmm5               ; xmm3=data0+data7=tmp0
185
186        movdqa  xmm2, XMMWORD [wk(2)]   ; xmm2=(42 52 62 72 43 53 63 73)
187        movdqa  xmm5, XMMWORD [wk(3)]   ; xmm5=(44 54 64 74 45 55 65 75)
188        movdqa  XMMWORD [wk(0)], xmm1   ; wk(0)=tmp6
189        movdqa  XMMWORD [wk(1)], xmm0   ; wk(1)=tmp7
190
191        movdqa     xmm1,xmm7            ; transpose coefficients(phase 3)
192        punpcklqdq xmm7,xmm2            ; xmm7=(02 12 22 32 42 52 62 72)=data2
193        punpckhqdq xmm1,xmm2            ; xmm1=(03 13 23 33 43 53 63 73)=data3
194        movdqa     xmm0,xmm4            ; transpose coefficients(phase 3)
195        punpcklqdq xmm4,xmm5            ; xmm4=(04 14 24 34 44 54 64 74)=data4
196        punpckhqdq xmm0,xmm5            ; xmm0=(05 15 25 35 45 55 65 75)=data5
197
198        movdqa  xmm2,xmm1
199        movdqa  xmm5,xmm7
200        paddw   xmm1,xmm4               ; xmm1=data3+data4=tmp3
201        paddw   xmm7,xmm0               ; xmm7=data2+data5=tmp2
202        psubw   xmm2,xmm4               ; xmm2=data3-data4=tmp4
203        psubw   xmm5,xmm0               ; xmm5=data2-data5=tmp5
204
205        ; -- Even part
206
207        movdqa  xmm4,xmm3
208        movdqa  xmm0,xmm6
209        paddw   xmm3,xmm1               ; xmm3=tmp10
210        paddw   xmm6,xmm7               ; xmm6=tmp11
211        psubw   xmm4,xmm1               ; xmm4=tmp13
212        psubw   xmm0,xmm7               ; xmm0=tmp12
213
214        movdqa  xmm1,xmm3
215        paddw   xmm3,xmm6               ; xmm3=tmp10+tmp11
216        psubw   xmm1,xmm6               ; xmm1=tmp10-tmp11
217
218        psllw   xmm3,PASS1_BITS         ; xmm3=data0
219        psllw   xmm1,PASS1_BITS         ; xmm1=data4
220
221        movdqa  XMMWORD [wk(2)], xmm3   ; wk(2)=data0
222        movdqa  XMMWORD [wk(3)], xmm1   ; wk(3)=data4
223
224        ; (Original)
225        ; z1 = (tmp12 + tmp13) * 0.541196100;
226        ; data2 = z1 + tmp13 * 0.765366865;
227        ; data6 = z1 + tmp12 * -1.847759065;
228        ;
229        ; (This implementation)
230        ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
231        ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
232
233        movdqa    xmm7,xmm4             ; xmm4=tmp13
234        movdqa    xmm6,xmm4
235        punpcklwd xmm7,xmm0             ; xmm0=tmp12
236        punpckhwd xmm6,xmm0
237        movdqa    xmm4,xmm7
238        movdqa    xmm0,xmm6
239        pmaddwd   xmm7,[rel PW_F130_F054]       ; xmm7=data2L
240        pmaddwd   xmm6,[rel PW_F130_F054]       ; xmm6=data2H
241        pmaddwd   xmm4,[rel PW_F054_MF130]      ; xmm4=data6L
242        pmaddwd   xmm0,[rel PW_F054_MF130]      ; xmm0=data6H
243
244        paddd   xmm7,[rel PD_DESCALE_P1]
245        paddd   xmm6,[rel PD_DESCALE_P1]
246        psrad   xmm7,DESCALE_P1
247        psrad   xmm6,DESCALE_P1
248        paddd   xmm4,[rel PD_DESCALE_P1]
249        paddd   xmm0,[rel PD_DESCALE_P1]
250        psrad   xmm4,DESCALE_P1
251        psrad   xmm0,DESCALE_P1
252
253        packssdw  xmm7,xmm6             ; xmm7=data2
254        packssdw  xmm4,xmm0             ; xmm4=data6
255
256        movdqa  XMMWORD [wk(4)], xmm7   ; wk(4)=data2
257        movdqa  XMMWORD [wk(5)], xmm4   ; wk(5)=data6
258
259        ; -- Odd part
260
261        movdqa  xmm3, XMMWORD [wk(0)]   ; xmm3=tmp6
262        movdqa  xmm1, XMMWORD [wk(1)]   ; xmm1=tmp7
263
264        movdqa  xmm6,xmm2               ; xmm2=tmp4
265        movdqa  xmm0,xmm5               ; xmm5=tmp5
266        paddw   xmm6,xmm3               ; xmm6=z3
267        paddw   xmm0,xmm1               ; xmm0=z4
268
269        ; (Original)
270        ; z5 = (z3 + z4) * 1.175875602;
271        ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
272        ; z3 += z5;  z4 += z5;
273        ;
274        ; (This implementation)
275        ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
276        ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
277
278        movdqa    xmm7,xmm6
279        movdqa    xmm4,xmm6
280        punpcklwd xmm7,xmm0
281        punpckhwd xmm4,xmm0
282        movdqa    xmm6,xmm7
283        movdqa    xmm0,xmm4
284        pmaddwd   xmm7,[rel PW_MF078_F117]      ; xmm7=z3L
285        pmaddwd   xmm4,[rel PW_MF078_F117]      ; xmm4=z3H
286        pmaddwd   xmm6,[rel PW_F117_F078]       ; xmm6=z4L
287        pmaddwd   xmm0,[rel PW_F117_F078]       ; xmm0=z4H
288
289        movdqa  XMMWORD [wk(0)], xmm7   ; wk(0)=z3L
290        movdqa  XMMWORD [wk(1)], xmm4   ; wk(1)=z3H
291
292        ; (Original)
293        ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
294        ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
295        ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
296        ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
297        ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
298        ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
299        ;
300        ; (This implementation)
301        ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
302        ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
303        ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
304        ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
305        ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
306        ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
307
308        movdqa    xmm7,xmm2
309        movdqa    xmm4,xmm2
310        punpcklwd xmm7,xmm1
311        punpckhwd xmm4,xmm1
312        movdqa    xmm2,xmm7
313        movdqa    xmm1,xmm4
314        pmaddwd   xmm7,[rel PW_MF060_MF089]     ; xmm7=tmp4L
315        pmaddwd   xmm4,[rel PW_MF060_MF089]     ; xmm4=tmp4H
316        pmaddwd   xmm2,[rel PW_MF089_F060]      ; xmm2=tmp7L
317        pmaddwd   xmm1,[rel PW_MF089_F060]      ; xmm1=tmp7H
318
319        paddd   xmm7, XMMWORD [wk(0)]   ; xmm7=data7L
320        paddd   xmm4, XMMWORD [wk(1)]   ; xmm4=data7H
321        paddd   xmm2,xmm6               ; xmm2=data1L
322        paddd   xmm1,xmm0               ; xmm1=data1H
323
324        paddd   xmm7,[rel PD_DESCALE_P1]
325        paddd   xmm4,[rel PD_DESCALE_P1]
326        psrad   xmm7,DESCALE_P1
327        psrad   xmm4,DESCALE_P1
328        paddd   xmm2,[rel PD_DESCALE_P1]
329        paddd   xmm1,[rel PD_DESCALE_P1]
330        psrad   xmm2,DESCALE_P1
331        psrad   xmm1,DESCALE_P1
332
333        packssdw  xmm7,xmm4             ; xmm7=data7
334        packssdw  xmm2,xmm1             ; xmm2=data1
335
336        movdqa    xmm4,xmm5
337        movdqa    xmm1,xmm5
338        punpcklwd xmm4,xmm3
339        punpckhwd xmm1,xmm3
340        movdqa    xmm5,xmm4
341        movdqa    xmm3,xmm1
342        pmaddwd   xmm4,[rel PW_MF050_MF256]     ; xmm4=tmp5L
343        pmaddwd   xmm1,[rel PW_MF050_MF256]     ; xmm1=tmp5H
344        pmaddwd   xmm5,[rel PW_MF256_F050]      ; xmm5=tmp6L
345        pmaddwd   xmm3,[rel PW_MF256_F050]      ; xmm3=tmp6H
346
347        paddd   xmm4,xmm6               ; xmm4=data5L
348        paddd   xmm1,xmm0               ; xmm1=data5H
349        paddd   xmm5, XMMWORD [wk(0)]   ; xmm5=data3L
350        paddd   xmm3, XMMWORD [wk(1)]   ; xmm3=data3H
351
352        paddd   xmm4,[rel PD_DESCALE_P1]
353        paddd   xmm1,[rel PD_DESCALE_P1]
354        psrad   xmm4,DESCALE_P1
355        psrad   xmm1,DESCALE_P1
356        paddd   xmm5,[rel PD_DESCALE_P1]
357        paddd   xmm3,[rel PD_DESCALE_P1]
358        psrad   xmm5,DESCALE_P1
359        psrad   xmm3,DESCALE_P1
360
361        packssdw  xmm4,xmm1             ; xmm4=data5
362        packssdw  xmm5,xmm3             ; xmm5=data3
363
364        ; ---- Pass 2: process columns.
365
366        movdqa  xmm6, XMMWORD [wk(2)]   ; xmm6=col0
367        movdqa  xmm0, XMMWORD [wk(4)]   ; xmm0=col2
368
369        ; xmm6=(00 10 20 30 40 50 60 70), xmm0=(02 12 22 32 42 52 62 72)
370        ; xmm2=(01 11 21 31 41 51 61 71), xmm5=(03 13 23 33 43 53 63 73)
371
372        movdqa    xmm1,xmm6             ; transpose coefficients(phase 1)
373        punpcklwd xmm6,xmm2             ; xmm6=(00 01 10 11 20 21 30 31)
374        punpckhwd xmm1,xmm2             ; xmm1=(40 41 50 51 60 61 70 71)
375        movdqa    xmm3,xmm0             ; transpose coefficients(phase 1)
376        punpcklwd xmm0,xmm5             ; xmm0=(02 03 12 13 22 23 32 33)
377        punpckhwd xmm3,xmm5             ; xmm3=(42 43 52 53 62 63 72 73)
378
379        movdqa  xmm2, XMMWORD [wk(3)]   ; xmm2=col4
380        movdqa  xmm5, XMMWORD [wk(5)]   ; xmm5=col6
381
382        ; xmm2=(04 14 24 34 44 54 64 74), xmm5=(06 16 26 36 46 56 66 76)
383        ; xmm4=(05 15 25 35 45 55 65 75), xmm7=(07 17 27 37 47 57 67 77)
384
385        movdqa  XMMWORD [wk(0)], xmm0   ; wk(0)=(02 03 12 13 22 23 32 33)
386        movdqa  XMMWORD [wk(1)], xmm3   ; wk(1)=(42 43 52 53 62 63 72 73)
387
388        movdqa    xmm0,xmm2             ; transpose coefficients(phase 1)
389        punpcklwd xmm2,xmm4             ; xmm2=(04 05 14 15 24 25 34 35)
390        punpckhwd xmm0,xmm4             ; xmm0=(44 45 54 55 64 65 74 75)
391        movdqa    xmm3,xmm5             ; transpose coefficients(phase 1)
392        punpcklwd xmm5,xmm7             ; xmm5=(06 07 16 17 26 27 36 37)
393        punpckhwd xmm3,xmm7             ; xmm3=(46 47 56 57 66 67 76 77)
394
395        movdqa    xmm4,xmm2             ; transpose coefficients(phase 2)
396        punpckldq xmm2,xmm5             ; xmm2=(04 05 06 07 14 15 16 17)
397        punpckhdq xmm4,xmm5             ; xmm4=(24 25 26 27 34 35 36 37)
398        movdqa    xmm7,xmm0             ; transpose coefficients(phase 2)
399        punpckldq xmm0,xmm3             ; xmm0=(44 45 46 47 54 55 56 57)
400        punpckhdq xmm7,xmm3             ; xmm7=(64 65 66 67 74 75 76 77)
401
402        movdqa  xmm5, XMMWORD [wk(0)]   ; xmm5=(02 03 12 13 22 23 32 33)
403        movdqa  xmm3, XMMWORD [wk(1)]   ; xmm3=(42 43 52 53 62 63 72 73)
404        movdqa  XMMWORD [wk(2)], xmm4   ; wk(2)=(24 25 26 27 34 35 36 37)
405        movdqa  XMMWORD [wk(3)], xmm0   ; wk(3)=(44 45 46 47 54 55 56 57)
406
407        movdqa    xmm4,xmm6             ; transpose coefficients(phase 2)
408        punpckldq xmm6,xmm5             ; xmm6=(00 01 02 03 10 11 12 13)
409        punpckhdq xmm4,xmm5             ; xmm4=(20 21 22 23 30 31 32 33)
410        movdqa    xmm0,xmm1             ; transpose coefficients(phase 2)
411        punpckldq xmm1,xmm3             ; xmm1=(40 41 42 43 50 51 52 53)
412        punpckhdq xmm0,xmm3             ; xmm0=(60 61 62 63 70 71 72 73)
413
414        movdqa     xmm5,xmm6            ; transpose coefficients(phase 3)
415        punpcklqdq xmm6,xmm2            ; xmm6=(00 01 02 03 04 05 06 07)=data0
416        punpckhqdq xmm5,xmm2            ; xmm5=(10 11 12 13 14 15 16 17)=data1
417        movdqa     xmm3,xmm0            ; transpose coefficients(phase 3)
418        punpcklqdq xmm0,xmm7            ; xmm0=(60 61 62 63 64 65 66 67)=data6
419        punpckhqdq xmm3,xmm7            ; xmm3=(70 71 72 73 74 75 76 77)=data7
420
421        movdqa  xmm2,xmm5
422        movdqa  xmm7,xmm6
423        psubw   xmm5,xmm0               ; xmm5=data1-data6=tmp6
424        psubw   xmm6,xmm3               ; xmm6=data0-data7=tmp7
425        paddw   xmm2,xmm0               ; xmm2=data1+data6=tmp1
426        paddw   xmm7,xmm3               ; xmm7=data0+data7=tmp0
427
428        movdqa  xmm0, XMMWORD [wk(2)]   ; xmm0=(24 25 26 27 34 35 36 37)
429        movdqa  xmm3, XMMWORD [wk(3)]   ; xmm3=(44 45 46 47 54 55 56 57)
430        movdqa  XMMWORD [wk(0)], xmm5   ; wk(0)=tmp6
431        movdqa  XMMWORD [wk(1)], xmm6   ; wk(1)=tmp7
432
433        movdqa     xmm5,xmm4            ; transpose coefficients(phase 3)
434        punpcklqdq xmm4,xmm0            ; xmm4=(20 21 22 23 24 25 26 27)=data2
435        punpckhqdq xmm5,xmm0            ; xmm5=(30 31 32 33 34 35 36 37)=data3
436        movdqa     xmm6,xmm1            ; transpose coefficients(phase 3)
437        punpcklqdq xmm1,xmm3            ; xmm1=(40 41 42 43 44 45 46 47)=data4
438        punpckhqdq xmm6,xmm3            ; xmm6=(50 51 52 53 54 55 56 57)=data5
439
440        movdqa  xmm0,xmm5
441        movdqa  xmm3,xmm4
442        paddw   xmm5,xmm1               ; xmm5=data3+data4=tmp3
443        paddw   xmm4,xmm6               ; xmm4=data2+data5=tmp2
444        psubw   xmm0,xmm1               ; xmm0=data3-data4=tmp4
445        psubw   xmm3,xmm6               ; xmm3=data2-data5=tmp5
446
447        ; -- Even part
448
449        movdqa  xmm1,xmm7
450        movdqa  xmm6,xmm2
451        paddw   xmm7,xmm5               ; xmm7=tmp10
452        paddw   xmm2,xmm4               ; xmm2=tmp11
453        psubw   xmm1,xmm5               ; xmm1=tmp13
454        psubw   xmm6,xmm4               ; xmm6=tmp12
455
456        movdqa  xmm5,xmm7
457        paddw   xmm7,xmm2               ; xmm7=tmp10+tmp11
458        psubw   xmm5,xmm2               ; xmm5=tmp10-tmp11
459
460        paddw   xmm7,[rel PW_DESCALE_P2X]
461        paddw   xmm5,[rel PW_DESCALE_P2X]
462        psraw   xmm7,PASS1_BITS         ; xmm7=data0
463        psraw   xmm5,PASS1_BITS         ; xmm5=data4
464
465        movdqa  XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)], xmm7
466        movdqa  XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)], xmm5
467
468        ; (Original)
469        ; z1 = (tmp12 + tmp13) * 0.541196100;
470        ; data2 = z1 + tmp13 * 0.765366865;
471        ; data6 = z1 + tmp12 * -1.847759065;
472        ;
473        ; (This implementation)
474        ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
475        ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
476
477        movdqa    xmm4,xmm1             ; xmm1=tmp13
478        movdqa    xmm2,xmm1
479        punpcklwd xmm4,xmm6             ; xmm6=tmp12
480        punpckhwd xmm2,xmm6
481        movdqa    xmm1,xmm4
482        movdqa    xmm6,xmm2
483        pmaddwd   xmm4,[rel PW_F130_F054]       ; xmm4=data2L
484        pmaddwd   xmm2,[rel PW_F130_F054]       ; xmm2=data2H
485        pmaddwd   xmm1,[rel PW_F054_MF130]      ; xmm1=data6L
486        pmaddwd   xmm6,[rel PW_F054_MF130]      ; xmm6=data6H
487
488        paddd   xmm4,[rel PD_DESCALE_P2]
489        paddd   xmm2,[rel PD_DESCALE_P2]
490        psrad   xmm4,DESCALE_P2
491        psrad   xmm2,DESCALE_P2
492        paddd   xmm1,[rel PD_DESCALE_P2]
493        paddd   xmm6,[rel PD_DESCALE_P2]
494        psrad   xmm1,DESCALE_P2
495        psrad   xmm6,DESCALE_P2
496
497        packssdw  xmm4,xmm2             ; xmm4=data2
498        packssdw  xmm1,xmm6             ; xmm1=data6
499
500        movdqa  XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)], xmm4
501        movdqa  XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)], xmm1
502
503        ; -- Odd part
504
505        movdqa  xmm7, XMMWORD [wk(0)]   ; xmm7=tmp6
506        movdqa  xmm5, XMMWORD [wk(1)]   ; xmm5=tmp7
507
508        movdqa  xmm2,xmm0               ; xmm0=tmp4
509        movdqa  xmm6,xmm3               ; xmm3=tmp5
510        paddw   xmm2,xmm7               ; xmm2=z3
511        paddw   xmm6,xmm5               ; xmm6=z4
512
513        ; (Original)
514        ; z5 = (z3 + z4) * 1.175875602;
515        ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
516        ; z3 += z5;  z4 += z5;
517        ;
518        ; (This implementation)
519        ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
520        ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
521
522        movdqa    xmm4,xmm2
523        movdqa    xmm1,xmm2
524        punpcklwd xmm4,xmm6
525        punpckhwd xmm1,xmm6
526        movdqa    xmm2,xmm4
527        movdqa    xmm6,xmm1
528        pmaddwd   xmm4,[rel PW_MF078_F117]      ; xmm4=z3L
529        pmaddwd   xmm1,[rel PW_MF078_F117]      ; xmm1=z3H
530        pmaddwd   xmm2,[rel PW_F117_F078]       ; xmm2=z4L
531        pmaddwd   xmm6,[rel PW_F117_F078]       ; xmm6=z4H
532
533        movdqa  XMMWORD [wk(0)], xmm4   ; wk(0)=z3L
534        movdqa  XMMWORD [wk(1)], xmm1   ; wk(1)=z3H
535
536        ; (Original)
537        ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
538        ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
539        ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
540        ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
541        ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
542        ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
543        ;
544        ; (This implementation)
545        ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
546        ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
547        ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
548        ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
549        ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
550        ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
551
552        movdqa    xmm4,xmm0
553        movdqa    xmm1,xmm0
554        punpcklwd xmm4,xmm5
555        punpckhwd xmm1,xmm5
556        movdqa    xmm0,xmm4
557        movdqa    xmm5,xmm1
558        pmaddwd   xmm4,[rel PW_MF060_MF089]     ; xmm4=tmp4L
559        pmaddwd   xmm1,[rel PW_MF060_MF089]     ; xmm1=tmp4H
560        pmaddwd   xmm0,[rel PW_MF089_F060]      ; xmm0=tmp7L
561        pmaddwd   xmm5,[rel PW_MF089_F060]      ; xmm5=tmp7H
562
563        paddd   xmm4, XMMWORD [wk(0)]   ; xmm4=data7L
564        paddd   xmm1, XMMWORD [wk(1)]   ; xmm1=data7H
565        paddd   xmm0,xmm2               ; xmm0=data1L
566        paddd   xmm5,xmm6               ; xmm5=data1H
567
568        paddd   xmm4,[rel PD_DESCALE_P2]
569        paddd   xmm1,[rel PD_DESCALE_P2]
570        psrad   xmm4,DESCALE_P2
571        psrad   xmm1,DESCALE_P2
572        paddd   xmm0,[rel PD_DESCALE_P2]
573        paddd   xmm5,[rel PD_DESCALE_P2]
574        psrad   xmm0,DESCALE_P2
575        psrad   xmm5,DESCALE_P2
576
577        packssdw  xmm4,xmm1             ; xmm4=data7
578        packssdw  xmm0,xmm5             ; xmm0=data1
579
580        movdqa  XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)], xmm4
581        movdqa  XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)], xmm0
582
583        movdqa    xmm1,xmm3
584        movdqa    xmm5,xmm3
585        punpcklwd xmm1,xmm7
586        punpckhwd xmm5,xmm7
587        movdqa    xmm3,xmm1
588        movdqa    xmm7,xmm5
589        pmaddwd   xmm1,[rel PW_MF050_MF256]     ; xmm1=tmp5L
590        pmaddwd   xmm5,[rel PW_MF050_MF256]     ; xmm5=tmp5H
591        pmaddwd   xmm3,[rel PW_MF256_F050]      ; xmm3=tmp6L
592        pmaddwd   xmm7,[rel PW_MF256_F050]      ; xmm7=tmp6H
593
594        paddd   xmm1,xmm2               ; xmm1=data5L
595        paddd   xmm5,xmm6               ; xmm5=data5H
596        paddd   xmm3, XMMWORD [wk(0)]   ; xmm3=data3L
597        paddd   xmm7, XMMWORD [wk(1)]   ; xmm7=data3H
598
599        paddd   xmm1,[rel PD_DESCALE_P2]
600        paddd   xmm5,[rel PD_DESCALE_P2]
601        psrad   xmm1,DESCALE_P2
602        psrad   xmm5,DESCALE_P2
603        paddd   xmm3,[rel PD_DESCALE_P2]
604        paddd   xmm7,[rel PD_DESCALE_P2]
605        psrad   xmm3,DESCALE_P2
606        psrad   xmm7,DESCALE_P2
607
608        packssdw  xmm1,xmm5             ; xmm1=data5
609        packssdw  xmm3,xmm7             ; xmm3=data3
610
611        movdqa  XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)], xmm1
612        movdqa  XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)], xmm3
613
614        uncollect_args
615        mov     rsp,rbp         ; rsp <- aligned rbp
616        pop     rsp             ; rsp <- original rbp
617        pop     rbp
618        ret
619
620; For some reason, the OS X linker does not honor the request to align the
621; segment unless we do this.
622        align   16
623