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