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jfdctint-sse2.asm (26845B)


      1 ;
      2 ; jfdctint.asm - accurate integer FDCT (SSE2)
      3 ;
      4 ; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
      5 ; Copyright (C) 2016, 2020, 2024, 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) or Yasm.
     12 ;
     13 ; This file contains a slower but more accurate integer implementation of the
     14 ; forward DCT (Discrete Cosine Transform). The following code is based
     15 ; directly on the IJG's original jfdctint.c; see the jfdctint.c for
     16 ; more details.
     17 
     18 %include "jsimdext.inc"
     19 %include "jdct.inc"
     20 
     21 ; --------------------------------------------------------------------------
     22 
     23 %define CONST_BITS  13
     24 %define PASS1_BITS  2
     25 
     26 %define DESCALE_P1  (CONST_BITS - PASS1_BITS)
     27 %define DESCALE_P2  (CONST_BITS + PASS1_BITS)
     28 
     29 %if CONST_BITS == 13
     30 F_0_298 equ  2446  ; FIX(0.298631336)
     31 F_0_390 equ  3196  ; FIX(0.390180644)
     32 F_0_541 equ  4433  ; FIX(0.541196100)
     33 F_0_765 equ  6270  ; FIX(0.765366865)
     34 F_0_899 equ  7373  ; FIX(0.899976223)
     35 F_1_175 equ  9633  ; FIX(1.175875602)
     36 F_1_501 equ 12299  ; FIX(1.501321110)
     37 F_1_847 equ 15137  ; FIX(1.847759065)
     38 F_1_961 equ 16069  ; FIX(1.961570560)
     39 F_2_053 equ 16819  ; FIX(2.053119869)
     40 F_2_562 equ 20995  ; FIX(2.562915447)
     41 F_3_072 equ 25172  ; FIX(3.072711026)
     42 %else
     43 ; NASM cannot do compile-time arithmetic on floating-point constants.
     44 %define DESCALE(x, n)  (((x) + (1 << ((n) - 1))) >> (n))
     45 F_0_298 equ DESCALE( 320652955, 30 - CONST_BITS)  ; FIX(0.298631336)
     46 F_0_390 equ DESCALE( 418953276, 30 - CONST_BITS)  ; FIX(0.390180644)
     47 F_0_541 equ DESCALE( 581104887, 30 - CONST_BITS)  ; FIX(0.541196100)
     48 F_0_765 equ DESCALE( 821806413, 30 - CONST_BITS)  ; FIX(0.765366865)
     49 F_0_899 equ DESCALE( 966342111, 30 - CONST_BITS)  ; FIX(0.899976223)
     50 F_1_175 equ DESCALE(1262586813, 30 - CONST_BITS)  ; FIX(1.175875602)
     51 F_1_501 equ DESCALE(1612031267, 30 - CONST_BITS)  ; FIX(1.501321110)
     52 F_1_847 equ DESCALE(1984016188, 30 - CONST_BITS)  ; FIX(1.847759065)
     53 F_1_961 equ DESCALE(2106220350, 30 - CONST_BITS)  ; FIX(1.961570560)
     54 F_2_053 equ DESCALE(2204520673, 30 - CONST_BITS)  ; FIX(2.053119869)
     55 F_2_562 equ DESCALE(2751909506, 30 - CONST_BITS)  ; FIX(2.562915447)
     56 F_3_072 equ DESCALE(3299298341, 30 - CONST_BITS)  ; FIX(3.072711026)
     57 %endif
     58 
     59 ; --------------------------------------------------------------------------
     60    SECTION     SEG_CONST
     61 
     62    ALIGNZ      32
     63    GLOBAL_DATA(jconst_fdct_islow_sse2)
     64 
     65 EXTN(jconst_fdct_islow_sse2):
     66 
     67 PW_F130_F054   times 4 dw  (F_0_541 + F_0_765),  F_0_541
     68 PW_F054_MF130  times 4 dw  F_0_541, (F_0_541 - F_1_847)
     69 PW_MF078_F117  times 4 dw  (F_1_175 - F_1_961),  F_1_175
     70 PW_F117_F078   times 4 dw  F_1_175, (F_1_175 - F_0_390)
     71 PW_MF060_MF089 times 4 dw  (F_0_298 - F_0_899), -F_0_899
     72 PW_MF089_F060  times 4 dw -F_0_899, (F_1_501 - F_0_899)
     73 PW_MF050_MF256 times 4 dw  (F_2_053 - F_2_562), -F_2_562
     74 PW_MF256_F050  times 4 dw -F_2_562, (F_3_072 - F_2_562)
     75 PD_DESCALE_P1  times 4 dd  1 << (DESCALE_P1 - 1)
     76 PD_DESCALE_P2  times 4 dd  1 << (DESCALE_P2 - 1)
     77 PW_DESCALE_P2X times 8 dw  1 << (PASS1_BITS - 1)
     78 
     79    ALIGNZ      32
     80 
     81 ; --------------------------------------------------------------------------
     82    SECTION     SEG_TEXT
     83    BITS        32
     84 ;
     85 ; Perform the forward DCT on one block of samples.
     86 ;
     87 ; GLOBAL(void)
     88 ; jsimd_fdct_islow_sse2(DCTELEM *data)
     89 ;
     90 
     91 %define data(b)       (b) + 8           ; DCTELEM *data
     92 
     93 %define original_ebp  ebp + 0
     94 %define wk(i)         ebp - (WK_NUM - (i)) * SIZEOF_XMMWORD
     95                                        ; xmmword wk[WK_NUM]
     96 %define WK_NUM        6
     97 
     98    align       32
     99    GLOBAL_FUNCTION(jsimd_fdct_islow_sse2)
    100 
    101 EXTN(jsimd_fdct_islow_sse2):
    102    push        ebp
    103    mov         eax, esp                     ; eax = original ebp
    104    sub         esp, byte 4
    105    and         esp, byte (-SIZEOF_XMMWORD)  ; align to 128 bits
    106    mov         [esp], eax
    107    mov         ebp, esp                     ; ebp = aligned ebp
    108    lea         esp, [wk(0)]
    109    PUSHPIC     ebx
    110 ;   push        ecx                     ; unused
    111 ;   push        edx                     ; need not be preserved
    112 ;   push        esi                     ; unused
    113 ;   push        edi                     ; unused
    114 
    115    GET_GOT     ebx                     ; get GOT address
    116 
    117    ; ---- Pass 1: process rows.
    118 
    119    mov         edx, POINTER [data(eax)]  ; (DCTELEM *)
    120 
    121    movdqa      xmm0, XMMWORD [XMMBLOCK(0,0,edx,SIZEOF_DCTELEM)]
    122    movdqa      xmm1, XMMWORD [XMMBLOCK(1,0,edx,SIZEOF_DCTELEM)]
    123    movdqa      xmm2, XMMWORD [XMMBLOCK(2,0,edx,SIZEOF_DCTELEM)]
    124    movdqa      xmm3, XMMWORD [XMMBLOCK(3,0,edx,SIZEOF_DCTELEM)]
    125 
    126    ; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
    127    ; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
    128 
    129    movdqa      xmm4, xmm0              ; transpose coefficients(phase 1)
    130    punpcklwd   xmm0, xmm1              ; xmm0=(00 10 01 11 02 12 03 13)
    131    punpckhwd   xmm4, xmm1              ; xmm4=(04 14 05 15 06 16 07 17)
    132    movdqa      xmm5, xmm2              ; transpose coefficients(phase 1)
    133    punpcklwd   xmm2, xmm3              ; xmm2=(20 30 21 31 22 32 23 33)
    134    punpckhwd   xmm5, xmm3              ; xmm5=(24 34 25 35 26 36 27 37)
    135 
    136    movdqa      xmm6, XMMWORD [XMMBLOCK(4,0,edx,SIZEOF_DCTELEM)]
    137    movdqa      xmm7, XMMWORD [XMMBLOCK(5,0,edx,SIZEOF_DCTELEM)]
    138    movdqa      xmm1, XMMWORD [XMMBLOCK(6,0,edx,SIZEOF_DCTELEM)]
    139    movdqa      xmm3, XMMWORD [XMMBLOCK(7,0,edx,SIZEOF_DCTELEM)]
    140 
    141    ; xmm6=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
    142    ; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
    143 
    144    movdqa      XMMWORD [wk(0)], xmm2   ; wk(0)=(20 30 21 31 22 32 23 33)
    145    movdqa      XMMWORD [wk(1)], xmm5   ; wk(1)=(24 34 25 35 26 36 27 37)
    146 
    147    movdqa      xmm2, xmm6              ; transpose coefficients(phase 1)
    148    punpcklwd   xmm6, xmm7              ; xmm6=(40 50 41 51 42 52 43 53)
    149    punpckhwd   xmm2, xmm7              ; xmm2=(44 54 45 55 46 56 47 57)
    150    movdqa      xmm5, xmm1              ; transpose coefficients(phase 1)
    151    punpcklwd   xmm1, xmm3              ; xmm1=(60 70 61 71 62 72 63 73)
    152    punpckhwd   xmm5, xmm3              ; xmm5=(64 74 65 75 66 76 67 77)
    153 
    154    movdqa      xmm7, xmm6              ; transpose coefficients(phase 2)
    155    punpckldq   xmm6, xmm1              ; xmm6=(40 50 60 70 41 51 61 71)
    156    punpckhdq   xmm7, xmm1              ; xmm7=(42 52 62 72 43 53 63 73)
    157    movdqa      xmm3, xmm2              ; transpose coefficients(phase 2)
    158    punpckldq   xmm2, xmm5              ; xmm2=(44 54 64 74 45 55 65 75)
    159    punpckhdq   xmm3, xmm5              ; xmm3=(46 56 66 76 47 57 67 77)
    160 
    161    movdqa      xmm1, XMMWORD [wk(0)]   ; xmm1=(20 30 21 31 22 32 23 33)
    162    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=(24 34 25 35 26 36 27 37)
    163    movdqa      XMMWORD [wk(2)], xmm7   ; wk(2)=(42 52 62 72 43 53 63 73)
    164    movdqa      XMMWORD [wk(3)], xmm2   ; wk(3)=(44 54 64 74 45 55 65 75)
    165 
    166    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
    167    punpckldq   xmm0, xmm1              ; xmm0=(00 10 20 30 01 11 21 31)
    168    punpckhdq   xmm7, xmm1              ; xmm7=(02 12 22 32 03 13 23 33)
    169    movdqa      xmm2, xmm4              ; transpose coefficients(phase 2)
    170    punpckldq   xmm4, xmm5              ; xmm4=(04 14 24 34 05 15 25 35)
    171    punpckhdq   xmm2, xmm5              ; xmm2=(06 16 26 36 07 17 27 37)
    172 
    173    movdqa      xmm1, xmm0              ; transpose coefficients(phase 3)
    174    punpcklqdq  xmm0, xmm6              ; xmm0=(00 10 20 30 40 50 60 70)=data0
    175    punpckhqdq  xmm1, xmm6              ; xmm1=(01 11 21 31 41 51 61 71)=data1
    176    movdqa      xmm5, xmm2              ; transpose coefficients(phase 3)
    177    punpcklqdq  xmm2, xmm3              ; xmm2=(06 16 26 36 46 56 66 76)=data6
    178    punpckhqdq  xmm5, xmm3              ; xmm5=(07 17 27 37 47 57 67 77)=data7
    179 
    180    movdqa      xmm6, xmm1
    181    movdqa      xmm3, xmm0
    182    psubw       xmm1, xmm2              ; xmm1=data1-data6=tmp6
    183    psubw       xmm0, xmm5              ; xmm0=data0-data7=tmp7
    184    paddw       xmm6, xmm2              ; xmm6=data1+data6=tmp1
    185    paddw       xmm3, xmm5              ; xmm3=data0+data7=tmp0
    186 
    187    movdqa      xmm2, XMMWORD [wk(2)]   ; xmm2=(42 52 62 72 43 53 63 73)
    188    movdqa      xmm5, XMMWORD [wk(3)]   ; xmm5=(44 54 64 74 45 55 65 75)
    189    movdqa      XMMWORD [wk(0)], xmm1   ; wk(0)=tmp6
    190    movdqa      XMMWORD [wk(1)], xmm0   ; wk(1)=tmp7
    191 
    192    movdqa      xmm1, xmm7              ; transpose coefficients(phase 3)
    193    punpcklqdq  xmm7, xmm2              ; xmm7=(02 12 22 32 42 52 62 72)=data2
    194    punpckhqdq  xmm1, xmm2              ; xmm1=(03 13 23 33 43 53 63 73)=data3
    195    movdqa      xmm0, xmm4              ; transpose coefficients(phase 3)
    196    punpcklqdq  xmm4, xmm5              ; xmm4=(04 14 24 34 44 54 64 74)=data4
    197    punpckhqdq  xmm0, xmm5              ; xmm0=(05 15 25 35 45 55 65 75)=data5
    198 
    199    movdqa      xmm2, xmm1
    200    movdqa      xmm5, xmm7
    201    paddw       xmm1, xmm4              ; xmm1=data3+data4=tmp3
    202    paddw       xmm7, xmm0              ; xmm7=data2+data5=tmp2
    203    psubw       xmm2, xmm4              ; xmm2=data3-data4=tmp4
    204    psubw       xmm5, xmm0              ; xmm5=data2-data5=tmp5
    205 
    206    ; -- Even part
    207 
    208    movdqa      xmm4, xmm3
    209    movdqa      xmm0, xmm6
    210    paddw       xmm3, xmm1              ; xmm3=tmp10
    211    paddw       xmm6, xmm7              ; xmm6=tmp11
    212    psubw       xmm4, xmm1              ; xmm4=tmp13
    213    psubw       xmm0, xmm7              ; xmm0=tmp12
    214 
    215    movdqa      xmm1, xmm3
    216    paddw       xmm3, xmm6              ; xmm3=tmp10+tmp11
    217    psubw       xmm1, xmm6              ; xmm1=tmp10-tmp11
    218 
    219    psllw       xmm3, PASS1_BITS        ; xmm3=data0
    220    psllw       xmm1, PASS1_BITS        ; xmm1=data4
    221 
    222    movdqa      XMMWORD [wk(2)], xmm3   ; wk(2)=data0
    223    movdqa      XMMWORD [wk(3)], xmm1   ; wk(3)=data4
    224 
    225    ; (Original)
    226    ; z1 = (tmp12 + tmp13) * 0.541196100;
    227    ; data2 = z1 + tmp13 * 0.765366865;
    228    ; data6 = z1 + tmp12 * -1.847759065;
    229    ;
    230    ; (This implementation)
    231    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
    232    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
    233 
    234    movdqa      xmm7, xmm4              ; xmm4=tmp13
    235    movdqa      xmm6, xmm4
    236    punpcklwd   xmm7, xmm0              ; xmm0=tmp12
    237    punpckhwd   xmm6, xmm0
    238    movdqa      xmm4, xmm7
    239    movdqa      xmm0, xmm6
    240    pmaddwd     xmm7, [GOTOFF(ebx,PW_F130_F054)]   ; xmm7=data2L
    241    pmaddwd     xmm6, [GOTOFF(ebx,PW_F130_F054)]   ; xmm6=data2H
    242    pmaddwd     xmm4, [GOTOFF(ebx,PW_F054_MF130)]  ; xmm4=data6L
    243    pmaddwd     xmm0, [GOTOFF(ebx,PW_F054_MF130)]  ; xmm0=data6H
    244 
    245    paddd       xmm7, [GOTOFF(ebx,PD_DESCALE_P1)]
    246    paddd       xmm6, [GOTOFF(ebx,PD_DESCALE_P1)]
    247    psrad       xmm7, DESCALE_P1
    248    psrad       xmm6, DESCALE_P1
    249    paddd       xmm4, [GOTOFF(ebx,PD_DESCALE_P1)]
    250    paddd       xmm0, [GOTOFF(ebx,PD_DESCALE_P1)]
    251    psrad       xmm4, DESCALE_P1
    252    psrad       xmm0, DESCALE_P1
    253 
    254    packssdw    xmm7, xmm6              ; xmm7=data2
    255    packssdw    xmm4, xmm0              ; xmm4=data6
    256 
    257    movdqa      XMMWORD [wk(4)], xmm7   ; wk(4)=data2
    258    movdqa      XMMWORD [wk(5)], xmm4   ; wk(5)=data6
    259 
    260    ; -- Odd part
    261 
    262    movdqa      xmm3, XMMWORD [wk(0)]   ; xmm3=tmp6
    263    movdqa      xmm1, XMMWORD [wk(1)]   ; xmm1=tmp7
    264 
    265    movdqa      xmm6, xmm2              ; xmm2=tmp4
    266    movdqa      xmm0, xmm5              ; xmm5=tmp5
    267    paddw       xmm6, xmm3              ; xmm6=z3
    268    paddw       xmm0, xmm1              ; xmm0=z4
    269 
    270    ; (Original)
    271    ; z5 = (z3 + z4) * 1.175875602;
    272    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
    273    ; z3 += z5;  z4 += z5;
    274    ;
    275    ; (This implementation)
    276    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
    277    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
    278 
    279    movdqa      xmm7, xmm6
    280    movdqa      xmm4, xmm6
    281    punpcklwd   xmm7, xmm0
    282    punpckhwd   xmm4, xmm0
    283    movdqa      xmm6, xmm7
    284    movdqa      xmm0, xmm4
    285    pmaddwd     xmm7, [GOTOFF(ebx,PW_MF078_F117)]  ; xmm7=z3L
    286    pmaddwd     xmm4, [GOTOFF(ebx,PW_MF078_F117)]  ; xmm4=z3H
    287    pmaddwd     xmm6, [GOTOFF(ebx,PW_F117_F078)]   ; xmm6=z4L
    288    pmaddwd     xmm0, [GOTOFF(ebx,PW_F117_F078)]   ; xmm0=z4H
    289 
    290    movdqa      XMMWORD [wk(0)], xmm7   ; wk(0)=z3L
    291    movdqa      XMMWORD [wk(1)], xmm4   ; wk(1)=z3H
    292 
    293    ; (Original)
    294    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
    295    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
    296    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
    297    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
    298    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
    299    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
    300    ;
    301    ; (This implementation)
    302    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
    303    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
    304    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
    305    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
    306    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
    307    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
    308 
    309    movdqa      xmm7, xmm2
    310    movdqa      xmm4, xmm2
    311    punpcklwd   xmm7, xmm1
    312    punpckhwd   xmm4, xmm1
    313    movdqa      xmm2, xmm7
    314    movdqa      xmm1, xmm4
    315    pmaddwd     xmm7, [GOTOFF(ebx,PW_MF060_MF089)]  ; xmm7=tmp4L
    316    pmaddwd     xmm4, [GOTOFF(ebx,PW_MF060_MF089)]  ; xmm4=tmp4H
    317    pmaddwd     xmm2, [GOTOFF(ebx,PW_MF089_F060)]   ; xmm2=tmp7L
    318    pmaddwd     xmm1, [GOTOFF(ebx,PW_MF089_F060)]   ; xmm1=tmp7H
    319 
    320    paddd       xmm7, XMMWORD [wk(0)]   ; xmm7=data7L
    321    paddd       xmm4, XMMWORD [wk(1)]   ; xmm4=data7H
    322    paddd       xmm2, xmm6              ; xmm2=data1L
    323    paddd       xmm1, xmm0              ; xmm1=data1H
    324 
    325    paddd       xmm7, [GOTOFF(ebx,PD_DESCALE_P1)]
    326    paddd       xmm4, [GOTOFF(ebx,PD_DESCALE_P1)]
    327    psrad       xmm7, DESCALE_P1
    328    psrad       xmm4, DESCALE_P1
    329    paddd       xmm2, [GOTOFF(ebx,PD_DESCALE_P1)]
    330    paddd       xmm1, [GOTOFF(ebx,PD_DESCALE_P1)]
    331    psrad       xmm2, DESCALE_P1
    332    psrad       xmm1, DESCALE_P1
    333 
    334    packssdw    xmm7, xmm4              ; xmm7=data7
    335    packssdw    xmm2, xmm1              ; xmm2=data1
    336 
    337    movdqa      xmm4, xmm5
    338    movdqa      xmm1, xmm5
    339    punpcklwd   xmm4, xmm3
    340    punpckhwd   xmm1, xmm3
    341    movdqa      xmm5, xmm4
    342    movdqa      xmm3, xmm1
    343    pmaddwd     xmm4, [GOTOFF(ebx,PW_MF050_MF256)]  ; xmm4=tmp5L
    344    pmaddwd     xmm1, [GOTOFF(ebx,PW_MF050_MF256)]  ; xmm1=tmp5H
    345    pmaddwd     xmm5, [GOTOFF(ebx,PW_MF256_F050)]   ; xmm5=tmp6L
    346    pmaddwd     xmm3, [GOTOFF(ebx,PW_MF256_F050)]   ; xmm3=tmp6H
    347 
    348    paddd       xmm4, xmm6              ; xmm4=data5L
    349    paddd       xmm1, xmm0              ; xmm1=data5H
    350    paddd       xmm5, XMMWORD [wk(0)]   ; xmm5=data3L
    351    paddd       xmm3, XMMWORD [wk(1)]   ; xmm3=data3H
    352 
    353    paddd       xmm4, [GOTOFF(ebx,PD_DESCALE_P1)]
    354    paddd       xmm1, [GOTOFF(ebx,PD_DESCALE_P1)]
    355    psrad       xmm4, DESCALE_P1
    356    psrad       xmm1, DESCALE_P1
    357    paddd       xmm5, [GOTOFF(ebx,PD_DESCALE_P1)]
    358    paddd       xmm3, [GOTOFF(ebx,PD_DESCALE_P1)]
    359    psrad       xmm5, DESCALE_P1
    360    psrad       xmm3, DESCALE_P1
    361 
    362    packssdw    xmm4, xmm1              ; xmm4=data5
    363    packssdw    xmm5, xmm3              ; xmm5=data3
    364 
    365    ; ---- Pass 2: process columns.
    366 
    367 ;   mov         edx, POINTER [data(eax)]  ; (DCTELEM *)
    368 
    369    movdqa      xmm6, XMMWORD [wk(2)]   ; xmm6=col0
    370    movdqa      xmm0, XMMWORD [wk(4)]   ; xmm0=col2
    371 
    372    ; xmm6=(00 10 20 30 40 50 60 70), xmm0=(02 12 22 32 42 52 62 72)
    373    ; xmm2=(01 11 21 31 41 51 61 71), xmm5=(03 13 23 33 43 53 63 73)
    374 
    375    movdqa      xmm1, xmm6              ; transpose coefficients(phase 1)
    376    punpcklwd   xmm6, xmm2              ; xmm6=(00 01 10 11 20 21 30 31)
    377    punpckhwd   xmm1, xmm2              ; xmm1=(40 41 50 51 60 61 70 71)
    378    movdqa      xmm3, xmm0              ; transpose coefficients(phase 1)
    379    punpcklwd   xmm0, xmm5              ; xmm0=(02 03 12 13 22 23 32 33)
    380    punpckhwd   xmm3, xmm5              ; xmm3=(42 43 52 53 62 63 72 73)
    381 
    382    movdqa      xmm2, XMMWORD [wk(3)]   ; xmm2=col4
    383    movdqa      xmm5, XMMWORD [wk(5)]   ; xmm5=col6
    384 
    385    ; xmm2=(04 14 24 34 44 54 64 74), xmm5=(06 16 26 36 46 56 66 76)
    386    ; xmm4=(05 15 25 35 45 55 65 75), xmm7=(07 17 27 37 47 57 67 77)
    387 
    388    movdqa      XMMWORD [wk(0)], xmm0   ; wk(0)=(02 03 12 13 22 23 32 33)
    389    movdqa      XMMWORD [wk(1)], xmm3   ; wk(1)=(42 43 52 53 62 63 72 73)
    390 
    391    movdqa      xmm0, xmm2              ; transpose coefficients(phase 1)
    392    punpcklwd   xmm2, xmm4              ; xmm2=(04 05 14 15 24 25 34 35)
    393    punpckhwd   xmm0, xmm4              ; xmm0=(44 45 54 55 64 65 74 75)
    394    movdqa      xmm3, xmm5              ; transpose coefficients(phase 1)
    395    punpcklwd   xmm5, xmm7              ; xmm5=(06 07 16 17 26 27 36 37)
    396    punpckhwd   xmm3, xmm7              ; xmm3=(46 47 56 57 66 67 76 77)
    397 
    398    movdqa      xmm4, xmm2              ; transpose coefficients(phase 2)
    399    punpckldq   xmm2, xmm5              ; xmm2=(04 05 06 07 14 15 16 17)
    400    punpckhdq   xmm4, xmm5              ; xmm4=(24 25 26 27 34 35 36 37)
    401    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
    402    punpckldq   xmm0, xmm3              ; xmm0=(44 45 46 47 54 55 56 57)
    403    punpckhdq   xmm7, xmm3              ; xmm7=(64 65 66 67 74 75 76 77)
    404 
    405    movdqa      xmm5, XMMWORD [wk(0)]   ; xmm5=(02 03 12 13 22 23 32 33)
    406    movdqa      xmm3, XMMWORD [wk(1)]   ; xmm3=(42 43 52 53 62 63 72 73)
    407    movdqa      XMMWORD [wk(2)], xmm4   ; wk(2)=(24 25 26 27 34 35 36 37)
    408    movdqa      XMMWORD [wk(3)], xmm0   ; wk(3)=(44 45 46 47 54 55 56 57)
    409 
    410    movdqa      xmm4, xmm6              ; transpose coefficients(phase 2)
    411    punpckldq   xmm6, xmm5              ; xmm6=(00 01 02 03 10 11 12 13)
    412    punpckhdq   xmm4, xmm5              ; xmm4=(20 21 22 23 30 31 32 33)
    413    movdqa      xmm0, xmm1              ; transpose coefficients(phase 2)
    414    punpckldq   xmm1, xmm3              ; xmm1=(40 41 42 43 50 51 52 53)
    415    punpckhdq   xmm0, xmm3              ; xmm0=(60 61 62 63 70 71 72 73)
    416 
    417    movdqa      xmm5, xmm6              ; transpose coefficients(phase 3)
    418    punpcklqdq  xmm6, xmm2              ; xmm6=(00 01 02 03 04 05 06 07)=data0
    419    punpckhqdq  xmm5, xmm2              ; xmm5=(10 11 12 13 14 15 16 17)=data1
    420    movdqa      xmm3, xmm0              ; transpose coefficients(phase 3)
    421    punpcklqdq  xmm0, xmm7              ; xmm0=(60 61 62 63 64 65 66 67)=data6
    422    punpckhqdq  xmm3, xmm7              ; xmm3=(70 71 72 73 74 75 76 77)=data7
    423 
    424    movdqa      xmm2, xmm5
    425    movdqa      xmm7, xmm6
    426    psubw       xmm5, xmm0              ; xmm5=data1-data6=tmp6
    427    psubw       xmm6, xmm3              ; xmm6=data0-data7=tmp7
    428    paddw       xmm2, xmm0              ; xmm2=data1+data6=tmp1
    429    paddw       xmm7, xmm3              ; xmm7=data0+data7=tmp0
    430 
    431    movdqa      xmm0, XMMWORD [wk(2)]   ; xmm0=(24 25 26 27 34 35 36 37)
    432    movdqa      xmm3, XMMWORD [wk(3)]   ; xmm3=(44 45 46 47 54 55 56 57)
    433    movdqa      XMMWORD [wk(0)], xmm5   ; wk(0)=tmp6
    434    movdqa      XMMWORD [wk(1)], xmm6   ; wk(1)=tmp7
    435 
    436    movdqa      xmm5, xmm4              ; transpose coefficients(phase 3)
    437    punpcklqdq  xmm4, xmm0              ; xmm4=(20 21 22 23 24 25 26 27)=data2
    438    punpckhqdq  xmm5, xmm0              ; xmm5=(30 31 32 33 34 35 36 37)=data3
    439    movdqa      xmm6, xmm1              ; transpose coefficients(phase 3)
    440    punpcklqdq  xmm1, xmm3              ; xmm1=(40 41 42 43 44 45 46 47)=data4
    441    punpckhqdq  xmm6, xmm3              ; xmm6=(50 51 52 53 54 55 56 57)=data5
    442 
    443    movdqa      xmm0, xmm5
    444    movdqa      xmm3, xmm4
    445    paddw       xmm5, xmm1              ; xmm5=data3+data4=tmp3
    446    paddw       xmm4, xmm6              ; xmm4=data2+data5=tmp2
    447    psubw       xmm0, xmm1              ; xmm0=data3-data4=tmp4
    448    psubw       xmm3, xmm6              ; xmm3=data2-data5=tmp5
    449 
    450    ; -- Even part
    451 
    452    movdqa      xmm1, xmm7
    453    movdqa      xmm6, xmm2
    454    paddw       xmm7, xmm5              ; xmm7=tmp10
    455    paddw       xmm2, xmm4              ; xmm2=tmp11
    456    psubw       xmm1, xmm5              ; xmm1=tmp13
    457    psubw       xmm6, xmm4              ; xmm6=tmp12
    458 
    459    movdqa      xmm5, xmm7
    460    paddw       xmm7, xmm2              ; xmm7=tmp10+tmp11
    461    psubw       xmm5, xmm2              ; xmm5=tmp10-tmp11
    462 
    463    paddw       xmm7, [GOTOFF(ebx,PW_DESCALE_P2X)]
    464    paddw       xmm5, [GOTOFF(ebx,PW_DESCALE_P2X)]
    465    psraw       xmm7, PASS1_BITS        ; xmm7=data0
    466    psraw       xmm5, PASS1_BITS        ; xmm5=data4
    467 
    468    movdqa      XMMWORD [XMMBLOCK(0,0,edx,SIZEOF_DCTELEM)], xmm7
    469    movdqa      XMMWORD [XMMBLOCK(4,0,edx,SIZEOF_DCTELEM)], xmm5
    470 
    471    ; (Original)
    472    ; z1 = (tmp12 + tmp13) * 0.541196100;
    473    ; data2 = z1 + tmp13 * 0.765366865;
    474    ; data6 = z1 + tmp12 * -1.847759065;
    475    ;
    476    ; (This implementation)
    477    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
    478    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
    479 
    480    movdqa      xmm4, xmm1              ; xmm1=tmp13
    481    movdqa      xmm2, xmm1
    482    punpcklwd   xmm4, xmm6              ; xmm6=tmp12
    483    punpckhwd   xmm2, xmm6
    484    movdqa      xmm1, xmm4
    485    movdqa      xmm6, xmm2
    486    pmaddwd     xmm4, [GOTOFF(ebx,PW_F130_F054)]   ; xmm4=data2L
    487    pmaddwd     xmm2, [GOTOFF(ebx,PW_F130_F054)]   ; xmm2=data2H
    488    pmaddwd     xmm1, [GOTOFF(ebx,PW_F054_MF130)]  ; xmm1=data6L
    489    pmaddwd     xmm6, [GOTOFF(ebx,PW_F054_MF130)]  ; xmm6=data6H
    490 
    491    paddd       xmm4, [GOTOFF(ebx,PD_DESCALE_P2)]
    492    paddd       xmm2, [GOTOFF(ebx,PD_DESCALE_P2)]
    493    psrad       xmm4, DESCALE_P2
    494    psrad       xmm2, DESCALE_P2
    495    paddd       xmm1, [GOTOFF(ebx,PD_DESCALE_P2)]
    496    paddd       xmm6, [GOTOFF(ebx,PD_DESCALE_P2)]
    497    psrad       xmm1, DESCALE_P2
    498    psrad       xmm6, DESCALE_P2
    499 
    500    packssdw    xmm4, xmm2              ; xmm4=data2
    501    packssdw    xmm1, xmm6              ; xmm1=data6
    502 
    503    movdqa      XMMWORD [XMMBLOCK(2,0,edx,SIZEOF_DCTELEM)], xmm4
    504    movdqa      XMMWORD [XMMBLOCK(6,0,edx,SIZEOF_DCTELEM)], xmm1
    505 
    506    ; -- Odd part
    507 
    508    movdqa      xmm7, XMMWORD [wk(0)]   ; xmm7=tmp6
    509    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=tmp7
    510 
    511    movdqa      xmm2, xmm0              ; xmm0=tmp4
    512    movdqa      xmm6, xmm3              ; xmm3=tmp5
    513    paddw       xmm2, xmm7              ; xmm2=z3
    514    paddw       xmm6, xmm5              ; xmm6=z4
    515 
    516    ; (Original)
    517    ; z5 = (z3 + z4) * 1.175875602;
    518    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
    519    ; z3 += z5;  z4 += z5;
    520    ;
    521    ; (This implementation)
    522    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
    523    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
    524 
    525    movdqa      xmm4, xmm2
    526    movdqa      xmm1, xmm2
    527    punpcklwd   xmm4, xmm6
    528    punpckhwd   xmm1, xmm6
    529    movdqa      xmm2, xmm4
    530    movdqa      xmm6, xmm1
    531    pmaddwd     xmm4, [GOTOFF(ebx,PW_MF078_F117)]  ; xmm4=z3L
    532    pmaddwd     xmm1, [GOTOFF(ebx,PW_MF078_F117)]  ; xmm1=z3H
    533    pmaddwd     xmm2, [GOTOFF(ebx,PW_F117_F078)]   ; xmm2=z4L
    534    pmaddwd     xmm6, [GOTOFF(ebx,PW_F117_F078)]   ; xmm6=z4H
    535 
    536    movdqa      XMMWORD [wk(0)], xmm4   ; wk(0)=z3L
    537    movdqa      XMMWORD [wk(1)], xmm1   ; wk(1)=z3H
    538 
    539    ; (Original)
    540    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
    541    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
    542    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
    543    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
    544    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
    545    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
    546    ;
    547    ; (This implementation)
    548    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
    549    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
    550    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
    551    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
    552    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
    553    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
    554 
    555    movdqa      xmm4, xmm0
    556    movdqa      xmm1, xmm0
    557    punpcklwd   xmm4, xmm5
    558    punpckhwd   xmm1, xmm5
    559    movdqa      xmm0, xmm4
    560    movdqa      xmm5, xmm1
    561    pmaddwd     xmm4, [GOTOFF(ebx,PW_MF060_MF089)]  ; xmm4=tmp4L
    562    pmaddwd     xmm1, [GOTOFF(ebx,PW_MF060_MF089)]  ; xmm1=tmp4H
    563    pmaddwd     xmm0, [GOTOFF(ebx,PW_MF089_F060)]   ; xmm0=tmp7L
    564    pmaddwd     xmm5, [GOTOFF(ebx,PW_MF089_F060)]   ; xmm5=tmp7H
    565 
    566    paddd       xmm4,  XMMWORD [wk(0)]  ; xmm4=data7L
    567    paddd       xmm1,  XMMWORD [wk(1)]  ; xmm1=data7H
    568    paddd       xmm0, xmm2              ; xmm0=data1L
    569    paddd       xmm5, xmm6              ; xmm5=data1H
    570 
    571    paddd       xmm4, [GOTOFF(ebx,PD_DESCALE_P2)]
    572    paddd       xmm1, [GOTOFF(ebx,PD_DESCALE_P2)]
    573    psrad       xmm4, DESCALE_P2
    574    psrad       xmm1, DESCALE_P2
    575    paddd       xmm0, [GOTOFF(ebx,PD_DESCALE_P2)]
    576    paddd       xmm5, [GOTOFF(ebx,PD_DESCALE_P2)]
    577    psrad       xmm0, DESCALE_P2
    578    psrad       xmm5, DESCALE_P2
    579 
    580    packssdw    xmm4, xmm1              ; xmm4=data7
    581    packssdw    xmm0, xmm5              ; xmm0=data1
    582 
    583    movdqa      XMMWORD [XMMBLOCK(7,0,edx,SIZEOF_DCTELEM)], xmm4
    584    movdqa      XMMWORD [XMMBLOCK(1,0,edx,SIZEOF_DCTELEM)], xmm0
    585 
    586    movdqa      xmm1, xmm3
    587    movdqa      xmm5, xmm3
    588    punpcklwd   xmm1, xmm7
    589    punpckhwd   xmm5, xmm7
    590    movdqa      xmm3, xmm1
    591    movdqa      xmm7, xmm5
    592    pmaddwd     xmm1, [GOTOFF(ebx,PW_MF050_MF256)]  ; xmm1=tmp5L
    593    pmaddwd     xmm5, [GOTOFF(ebx,PW_MF050_MF256)]  ; xmm5=tmp5H
    594    pmaddwd     xmm3, [GOTOFF(ebx,PW_MF256_F050)]   ; xmm3=tmp6L
    595    pmaddwd     xmm7, [GOTOFF(ebx,PW_MF256_F050)]   ; xmm7=tmp6H
    596 
    597    paddd       xmm1, xmm2              ; xmm1=data5L
    598    paddd       xmm5, xmm6              ; xmm5=data5H
    599    paddd       xmm3, XMMWORD [wk(0)]   ; xmm3=data3L
    600    paddd       xmm7, XMMWORD [wk(1)]   ; xmm7=data3H
    601 
    602    paddd       xmm1, [GOTOFF(ebx,PD_DESCALE_P2)]
    603    paddd       xmm5, [GOTOFF(ebx,PD_DESCALE_P2)]
    604    psrad       xmm1, DESCALE_P2
    605    psrad       xmm5, DESCALE_P2
    606    paddd       xmm3, [GOTOFF(ebx,PD_DESCALE_P2)]
    607    paddd       xmm7, [GOTOFF(ebx,PD_DESCALE_P2)]
    608    psrad       xmm3, DESCALE_P2
    609    psrad       xmm7, DESCALE_P2
    610 
    611    packssdw    xmm1, xmm5              ; xmm1=data5
    612    packssdw    xmm3, xmm7              ; xmm3=data3
    613 
    614    movdqa      XMMWORD [XMMBLOCK(5,0,edx,SIZEOF_DCTELEM)], xmm1
    615    movdqa      XMMWORD [XMMBLOCK(3,0,edx,SIZEOF_DCTELEM)], xmm3
    616 
    617 ;   pop         edi                     ; unused
    618 ;   pop         esi                     ; unused
    619 ;   pop         edx                     ; need not be preserved
    620 ;   pop         ecx                     ; unused
    621    POPPIC      ebx
    622    mov         esp, ebp                ; esp <- aligned ebp
    623    pop         esp                     ; esp <- original ebp
    624    pop         ebp
    625    ret
    626 
    627 ; For some reason, the OS X linker does not honor the request to align the
    628 ; segment unless we do this.
    629    align       32