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      1 ;
      2 ; jfdctint.asm - accurate integer FDCT (64-bit SSE2)
      3 ;
      4 ; Copyright 2009 Pierre Ossman <ossman (a] 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
     36 F_0_298 equ      2446           ; FIX(0.298631336)
     37 F_0_390 equ      3196           ; FIX(0.390180644)
     38 F_0_541 equ      4433           ; FIX(0.541196100)
     39 F_0_765 equ      6270           ; FIX(0.765366865)
     40 F_0_899 equ      7373           ; FIX(0.899976223)
     41 F_1_175 equ      9633           ; FIX(1.175875602)
     42 F_1_501 equ     12299           ; FIX(1.501321110)
     43 F_1_847 equ     15137           ; FIX(1.847759065)
     44 F_1_961 equ     16069           ; FIX(1.961570560)
     45 F_2_053 equ     16819           ; FIX(2.053119869)
     46 F_2_562 equ     20995           ; FIX(2.562915447)
     47 F_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))
     51 F_0_298 equ     DESCALE( 320652955,30-CONST_BITS)       ; FIX(0.298631336)
     52 F_0_390 equ     DESCALE( 418953276,30-CONST_BITS)       ; FIX(0.390180644)
     53 F_0_541 equ     DESCALE( 581104887,30-CONST_BITS)       ; FIX(0.541196100)
     54 F_0_765 equ     DESCALE( 821806413,30-CONST_BITS)       ; FIX(0.765366865)
     55 F_0_899 equ     DESCALE( 966342111,30-CONST_BITS)       ; FIX(0.899976223)
     56 F_1_175 equ     DESCALE(1262586813,30-CONST_BITS)       ; FIX(1.175875602)
     57 F_1_501 equ     DESCALE(1612031267,30-CONST_BITS)       ; FIX(1.501321110)
     58 F_1_847 equ     DESCALE(1984016188,30-CONST_BITS)       ; FIX(1.847759065)
     59 F_1_961 equ     DESCALE(2106220350,30-CONST_BITS)       ; FIX(1.961570560)
     60 F_2_053 equ     DESCALE(2204520673,30-CONST_BITS)       ; FIX(2.053119869)
     61 F_2_562 equ     DESCALE(2751909506,30-CONST_BITS)       ; FIX(2.562915447)
     62 F_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 
     71 EXTN(jconst_fdct_islow_sse2):
     72 
     73 PW_F130_F054    times 4 dw  (F_0_541+F_0_765), F_0_541
     74 PW_F054_MF130   times 4 dw  F_0_541, (F_0_541-F_1_847)
     75 PW_MF078_F117   times 4 dw  (F_1_175-F_1_961), F_1_175
     76 PW_F117_F078    times 4 dw  F_1_175, (F_1_175-F_0_390)
     77 PW_MF060_MF089  times 4 dw  (F_0_298-F_0_899),-F_0_899
     78 PW_MF089_F060   times 4 dw -F_0_899, (F_1_501-F_0_899)
     79 PW_MF050_MF256  times 4 dw  (F_2_053-F_2_562),-F_2_562
     80 PW_MF256_F050   times 4 dw -F_2_562, (F_3_072-F_2_562)
     81 PD_DESCALE_P1   times 4 dd  1 << (DESCALE_P1-1)
     82 PD_DESCALE_P2   times 4 dd  1 << (DESCALE_P2-1)
     83 PW_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 
    105 EXTN(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