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jfdctint-sse2.asm (25698B)


      1 ;
      2 ; jfdctint.asm - accurate integer FDCT (64-bit SSE2)
      3 ;
      4 ; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
      5 ; Copyright (C) 2009, 2016, 2020, 2024, D. R. Commander.
      6 ; Copyright (C) 2023, Aliaksiej Kandracienka.
      7 ;
      8 ; Based on the 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) or Yasm.
     13 ;
     14 ; This file contains a slower but more accurate integer implementation of the
     15 ; forward DCT (Discrete Cosine Transform). The following code is based
     16 ; directly on the IJG's original jfdctint.c; see the jfdctint.c for
     17 ; more details.
     18 
     19 %include "jsimdext.inc"
     20 %include "jdct.inc"
     21 
     22 ; --------------------------------------------------------------------------
     23 
     24 %define CONST_BITS  13
     25 %define PASS1_BITS  2
     26 
     27 %define DESCALE_P1  (CONST_BITS - PASS1_BITS)
     28 %define DESCALE_P2  (CONST_BITS + PASS1_BITS)
     29 
     30 %if CONST_BITS == 13
     31 F_0_298 equ  2446  ; FIX(0.298631336)
     32 F_0_390 equ  3196  ; FIX(0.390180644)
     33 F_0_541 equ  4433  ; FIX(0.541196100)
     34 F_0_765 equ  6270  ; FIX(0.765366865)
     35 F_0_899 equ  7373  ; FIX(0.899976223)
     36 F_1_175 equ  9633  ; FIX(1.175875602)
     37 F_1_501 equ 12299  ; FIX(1.501321110)
     38 F_1_847 equ 15137  ; FIX(1.847759065)
     39 F_1_961 equ 16069  ; FIX(1.961570560)
     40 F_2_053 equ 16819  ; FIX(2.053119869)
     41 F_2_562 equ 20995  ; FIX(2.562915447)
     42 F_3_072 equ 25172  ; FIX(3.072711026)
     43 %else
     44 ; NASM cannot do compile-time arithmetic on floating-point constants.
     45 %define DESCALE(x, n)  (((x) + (1 << ((n) - 1))) >> (n))
     46 F_0_298 equ DESCALE( 320652955, 30 - CONST_BITS)  ; FIX(0.298631336)
     47 F_0_390 equ DESCALE( 418953276, 30 - CONST_BITS)  ; FIX(0.390180644)
     48 F_0_541 equ DESCALE( 581104887, 30 - CONST_BITS)  ; FIX(0.541196100)
     49 F_0_765 equ DESCALE( 821806413, 30 - CONST_BITS)  ; FIX(0.765366865)
     50 F_0_899 equ DESCALE( 966342111, 30 - CONST_BITS)  ; FIX(0.899976223)
     51 F_1_175 equ DESCALE(1262586813, 30 - CONST_BITS)  ; FIX(1.175875602)
     52 F_1_501 equ DESCALE(1612031267, 30 - CONST_BITS)  ; FIX(1.501321110)
     53 F_1_847 equ DESCALE(1984016188, 30 - CONST_BITS)  ; FIX(1.847759065)
     54 F_1_961 equ DESCALE(2106220350, 30 - CONST_BITS)  ; FIX(1.961570560)
     55 F_2_053 equ DESCALE(2204520673, 30 - CONST_BITS)  ; FIX(2.053119869)
     56 F_2_562 equ DESCALE(2751909506, 30 - CONST_BITS)  ; FIX(2.562915447)
     57 F_3_072 equ DESCALE(3299298341, 30 - CONST_BITS)  ; FIX(3.072711026)
     58 %endif
     59 
     60 ; --------------------------------------------------------------------------
     61    SECTION     SEG_CONST
     62 
     63    ALIGNZ      32
     64    GLOBAL_DATA(jconst_fdct_islow_sse2)
     65 
     66 EXTN(jconst_fdct_islow_sse2):
     67 
     68 PW_F130_F054   times 4 dw  (F_0_541 + F_0_765),  F_0_541
     69 PW_F054_MF130  times 4 dw  F_0_541, (F_0_541 - F_1_847)
     70 PW_MF078_F117  times 4 dw  (F_1_175 - F_1_961),  F_1_175
     71 PW_F117_F078   times 4 dw  F_1_175, (F_1_175 - F_0_390)
     72 PW_MF060_MF089 times 4 dw  (F_0_298 - F_0_899), -F_0_899
     73 PW_MF089_F060  times 4 dw -F_0_899, (F_1_501 - F_0_899)
     74 PW_MF050_MF256 times 4 dw  (F_2_053 - F_2_562), -F_2_562
     75 PW_MF256_F050  times 4 dw -F_2_562, (F_3_072 - F_2_562)
     76 PD_DESCALE_P1  times 4 dd  1 << (DESCALE_P1 - 1)
     77 PD_DESCALE_P2  times 4 dd  1 << (DESCALE_P2 - 1)
     78 PW_DESCALE_P2X times 8 dw  1 << (PASS1_BITS - 1)
     79 
     80    ALIGNZ      32
     81 
     82 ; --------------------------------------------------------------------------
     83    SECTION     SEG_TEXT
     84    BITS        64
     85 ;
     86 ; Perform the forward DCT on one block of samples.
     87 ;
     88 ; GLOBAL(void)
     89 ; jsimd_fdct_islow_sse2(DCTELEM *data)
     90 ;
     91 
     92 ; r10 = DCTELEM *data
     93 
     94 %define wk(i)   r15 - (WK_NUM - (i)) * SIZEOF_XMMWORD  ; xmmword wk[WK_NUM]
     95 %define WK_NUM  6
     96 
     97    align       32
     98    GLOBAL_FUNCTION(jsimd_fdct_islow_sse2)
     99 
    100 EXTN(jsimd_fdct_islow_sse2):
    101    ENDBR64
    102    push        rbp
    103    mov         rbp, rsp
    104    push        r15
    105    and         rsp, byte (-SIZEOF_XMMWORD)  ; align to 128 bits
    106    ; Allocate stack space for wk array.  r15 is used to access it.
    107    mov         r15, rsp
    108    sub         rsp, byte (SIZEOF_XMMWORD * WK_NUM)
    109    COLLECT_ARGS 1
    110 
    111    ; ---- Pass 1: process rows.
    112 
    113    mov         rdx, r10                ; (DCTELEM *)
    114 
    115    movdqa      xmm0, XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)]
    116    movdqa      xmm1, XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)]
    117    movdqa      xmm2, XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)]
    118    movdqa      xmm3, XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)]
    119 
    120    ; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
    121    ; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
    122 
    123    movdqa      xmm4, xmm0              ; transpose coefficients(phase 1)
    124    punpcklwd   xmm0, xmm1              ; xmm0=(00 10 01 11 02 12 03 13)
    125    punpckhwd   xmm4, xmm1              ; xmm4=(04 14 05 15 06 16 07 17)
    126    movdqa      xmm5, xmm2              ; transpose coefficients(phase 1)
    127    punpcklwd   xmm2, xmm3              ; xmm2=(20 30 21 31 22 32 23 33)
    128    punpckhwd   xmm5, xmm3              ; xmm5=(24 34 25 35 26 36 27 37)
    129 
    130    movdqa      xmm6, XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)]
    131    movdqa      xmm7, XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)]
    132    movdqa      xmm1, XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)]
    133    movdqa      xmm3, XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)]
    134 
    135    ; xmm6=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
    136    ; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
    137 
    138    movdqa      XMMWORD [wk(0)], xmm2   ; wk(0)=(20 30 21 31 22 32 23 33)
    139    movdqa      XMMWORD [wk(1)], xmm5   ; wk(1)=(24 34 25 35 26 36 27 37)
    140 
    141    movdqa      xmm2, xmm6              ; transpose coefficients(phase 1)
    142    punpcklwd   xmm6, xmm7              ; xmm6=(40 50 41 51 42 52 43 53)
    143    punpckhwd   xmm2, xmm7              ; xmm2=(44 54 45 55 46 56 47 57)
    144    movdqa      xmm5, xmm1              ; transpose coefficients(phase 1)
    145    punpcklwd   xmm1, xmm3              ; xmm1=(60 70 61 71 62 72 63 73)
    146    punpckhwd   xmm5, xmm3              ; xmm5=(64 74 65 75 66 76 67 77)
    147 
    148    movdqa      xmm7, xmm6              ; transpose coefficients(phase 2)
    149    punpckldq   xmm6, xmm1              ; xmm6=(40 50 60 70 41 51 61 71)
    150    punpckhdq   xmm7, xmm1              ; xmm7=(42 52 62 72 43 53 63 73)
    151    movdqa      xmm3, xmm2              ; transpose coefficients(phase 2)
    152    punpckldq   xmm2, xmm5              ; xmm2=(44 54 64 74 45 55 65 75)
    153    punpckhdq   xmm3, xmm5              ; xmm3=(46 56 66 76 47 57 67 77)
    154 
    155    movdqa      xmm1, XMMWORD [wk(0)]   ; xmm1=(20 30 21 31 22 32 23 33)
    156    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=(24 34 25 35 26 36 27 37)
    157    movdqa      XMMWORD [wk(2)], xmm7   ; wk(2)=(42 52 62 72 43 53 63 73)
    158    movdqa      XMMWORD [wk(3)], xmm2   ; wk(3)=(44 54 64 74 45 55 65 75)
    159 
    160    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
    161    punpckldq   xmm0, xmm1              ; xmm0=(00 10 20 30 01 11 21 31)
    162    punpckhdq   xmm7, xmm1              ; xmm7=(02 12 22 32 03 13 23 33)
    163    movdqa      xmm2, xmm4              ; transpose coefficients(phase 2)
    164    punpckldq   xmm4, xmm5              ; xmm4=(04 14 24 34 05 15 25 35)
    165    punpckhdq   xmm2, xmm5              ; xmm2=(06 16 26 36 07 17 27 37)
    166 
    167    movdqa      xmm1, xmm0              ; transpose coefficients(phase 3)
    168    punpcklqdq  xmm0, xmm6              ; xmm0=(00 10 20 30 40 50 60 70)=data0
    169    punpckhqdq  xmm1, xmm6              ; xmm1=(01 11 21 31 41 51 61 71)=data1
    170    movdqa      xmm5, xmm2              ; transpose coefficients(phase 3)
    171    punpcklqdq  xmm2, xmm3              ; xmm2=(06 16 26 36 46 56 66 76)=data6
    172    punpckhqdq  xmm5, xmm3              ; xmm5=(07 17 27 37 47 57 67 77)=data7
    173 
    174    movdqa      xmm6, xmm1
    175    movdqa      xmm3, xmm0
    176    psubw       xmm1, xmm2              ; xmm1=data1-data6=tmp6
    177    psubw       xmm0, xmm5              ; xmm0=data0-data7=tmp7
    178    paddw       xmm6, xmm2              ; xmm6=data1+data6=tmp1
    179    paddw       xmm3, xmm5              ; xmm3=data0+data7=tmp0
    180 
    181    movdqa      xmm2, XMMWORD [wk(2)]   ; xmm2=(42 52 62 72 43 53 63 73)
    182    movdqa      xmm5, XMMWORD [wk(3)]   ; xmm5=(44 54 64 74 45 55 65 75)
    183    movdqa      XMMWORD [wk(0)], xmm1   ; wk(0)=tmp6
    184    movdqa      XMMWORD [wk(1)], xmm0   ; wk(1)=tmp7
    185 
    186    movdqa      xmm1, xmm7              ; transpose coefficients(phase 3)
    187    punpcklqdq  xmm7, xmm2              ; xmm7=(02 12 22 32 42 52 62 72)=data2
    188    punpckhqdq  xmm1, xmm2              ; xmm1=(03 13 23 33 43 53 63 73)=data3
    189    movdqa      xmm0, xmm4              ; transpose coefficients(phase 3)
    190    punpcklqdq  xmm4, xmm5              ; xmm4=(04 14 24 34 44 54 64 74)=data4
    191    punpckhqdq  xmm0, xmm5              ; xmm0=(05 15 25 35 45 55 65 75)=data5
    192 
    193    movdqa      xmm2, xmm1
    194    movdqa      xmm5, xmm7
    195    paddw       xmm1, xmm4              ; xmm1=data3+data4=tmp3
    196    paddw       xmm7, xmm0              ; xmm7=data2+data5=tmp2
    197    psubw       xmm2, xmm4              ; xmm2=data3-data4=tmp4
    198    psubw       xmm5, xmm0              ; xmm5=data2-data5=tmp5
    199 
    200    ; -- Even part
    201 
    202    movdqa      xmm4, xmm3
    203    movdqa      xmm0, xmm6
    204    paddw       xmm3, xmm1              ; xmm3=tmp10
    205    paddw       xmm6, xmm7              ; xmm6=tmp11
    206    psubw       xmm4, xmm1              ; xmm4=tmp13
    207    psubw       xmm0, xmm7              ; xmm0=tmp12
    208 
    209    movdqa      xmm1, xmm3
    210    paddw       xmm3, xmm6              ; xmm3=tmp10+tmp11
    211    psubw       xmm1, xmm6              ; xmm1=tmp10-tmp11
    212 
    213    psllw       xmm3, PASS1_BITS        ; xmm3=data0
    214    psllw       xmm1, PASS1_BITS        ; xmm1=data4
    215 
    216    movdqa      XMMWORD [wk(2)], xmm3   ; wk(2)=data0
    217    movdqa      XMMWORD [wk(3)], xmm1   ; wk(3)=data4
    218 
    219    ; (Original)
    220    ; z1 = (tmp12 + tmp13) * 0.541196100;
    221    ; data2 = z1 + tmp13 * 0.765366865;
    222    ; data6 = z1 + tmp12 * -1.847759065;
    223    ;
    224    ; (This implementation)
    225    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
    226    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
    227 
    228    movdqa      xmm7, xmm4              ; xmm4=tmp13
    229    movdqa      xmm6, xmm4
    230    punpcklwd   xmm7, xmm0              ; xmm0=tmp12
    231    punpckhwd   xmm6, xmm0
    232    movdqa      xmm4, xmm7
    233    movdqa      xmm0, xmm6
    234    pmaddwd     xmm7, [rel PW_F130_F054]   ; xmm7=data2L
    235    pmaddwd     xmm6, [rel PW_F130_F054]   ; xmm6=data2H
    236    pmaddwd     xmm4, [rel PW_F054_MF130]  ; xmm4=data6L
    237    pmaddwd     xmm0, [rel PW_F054_MF130]  ; xmm0=data6H
    238 
    239    paddd       xmm7, [rel PD_DESCALE_P1]
    240    paddd       xmm6, [rel PD_DESCALE_P1]
    241    psrad       xmm7, DESCALE_P1
    242    psrad       xmm6, DESCALE_P1
    243    paddd       xmm4, [rel PD_DESCALE_P1]
    244    paddd       xmm0, [rel PD_DESCALE_P1]
    245    psrad       xmm4, DESCALE_P1
    246    psrad       xmm0, DESCALE_P1
    247 
    248    packssdw    xmm7, xmm6              ; xmm7=data2
    249    packssdw    xmm4, xmm0              ; xmm4=data6
    250 
    251    movdqa      XMMWORD [wk(4)], xmm7   ; wk(4)=data2
    252    movdqa      XMMWORD [wk(5)], xmm4   ; wk(5)=data6
    253 
    254    ; -- Odd part
    255 
    256    movdqa      xmm3, XMMWORD [wk(0)]   ; xmm3=tmp6
    257    movdqa      xmm1, XMMWORD [wk(1)]   ; xmm1=tmp7
    258 
    259    movdqa      xmm6, xmm2              ; xmm2=tmp4
    260    movdqa      xmm0, xmm5              ; xmm5=tmp5
    261    paddw       xmm6, xmm3              ; xmm6=z3
    262    paddw       xmm0, xmm1              ; xmm0=z4
    263 
    264    ; (Original)
    265    ; z5 = (z3 + z4) * 1.175875602;
    266    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
    267    ; z3 += z5;  z4 += z5;
    268    ;
    269    ; (This implementation)
    270    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
    271    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
    272 
    273    movdqa      xmm7, xmm6
    274    movdqa      xmm4, xmm6
    275    punpcklwd   xmm7, xmm0
    276    punpckhwd   xmm4, xmm0
    277    movdqa      xmm6, xmm7
    278    movdqa      xmm0, xmm4
    279    pmaddwd     xmm7, [rel PW_MF078_F117]  ; xmm7=z3L
    280    pmaddwd     xmm4, [rel PW_MF078_F117]  ; xmm4=z3H
    281    pmaddwd     xmm6, [rel PW_F117_F078]   ; xmm6=z4L
    282    pmaddwd     xmm0, [rel PW_F117_F078]   ; xmm0=z4H
    283 
    284    movdqa      XMMWORD [wk(0)], xmm7   ; wk(0)=z3L
    285    movdqa      XMMWORD [wk(1)], xmm4   ; wk(1)=z3H
    286 
    287    ; (Original)
    288    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
    289    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
    290    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
    291    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
    292    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
    293    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
    294    ;
    295    ; (This implementation)
    296    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
    297    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
    298    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
    299    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
    300    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
    301    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
    302 
    303    movdqa      xmm7, xmm2
    304    movdqa      xmm4, xmm2
    305    punpcklwd   xmm7, xmm1
    306    punpckhwd   xmm4, xmm1
    307    movdqa      xmm2, xmm7
    308    movdqa      xmm1, xmm4
    309    pmaddwd     xmm7, [rel PW_MF060_MF089]  ; xmm7=tmp4L
    310    pmaddwd     xmm4, [rel PW_MF060_MF089]  ; xmm4=tmp4H
    311    pmaddwd     xmm2, [rel PW_MF089_F060]   ; xmm2=tmp7L
    312    pmaddwd     xmm1, [rel PW_MF089_F060]   ; xmm1=tmp7H
    313 
    314    paddd       xmm7, XMMWORD [wk(0)]   ; xmm7=data7L
    315    paddd       xmm4, XMMWORD [wk(1)]   ; xmm4=data7H
    316    paddd       xmm2, xmm6              ; xmm2=data1L
    317    paddd       xmm1, xmm0              ; xmm1=data1H
    318 
    319    paddd       xmm7, [rel PD_DESCALE_P1]
    320    paddd       xmm4, [rel PD_DESCALE_P1]
    321    psrad       xmm7, DESCALE_P1
    322    psrad       xmm4, DESCALE_P1
    323    paddd       xmm2, [rel PD_DESCALE_P1]
    324    paddd       xmm1, [rel PD_DESCALE_P1]
    325    psrad       xmm2, DESCALE_P1
    326    psrad       xmm1, DESCALE_P1
    327 
    328    packssdw    xmm7, xmm4              ; xmm7=data7
    329    packssdw    xmm2, xmm1              ; xmm2=data1
    330 
    331    movdqa      xmm4, xmm5
    332    movdqa      xmm1, xmm5
    333    punpcklwd   xmm4, xmm3
    334    punpckhwd   xmm1, xmm3
    335    movdqa      xmm5, xmm4
    336    movdqa      xmm3, xmm1
    337    pmaddwd     xmm4, [rel PW_MF050_MF256]  ; xmm4=tmp5L
    338    pmaddwd     xmm1, [rel PW_MF050_MF256]  ; xmm1=tmp5H
    339    pmaddwd     xmm5, [rel PW_MF256_F050]   ; xmm5=tmp6L
    340    pmaddwd     xmm3, [rel PW_MF256_F050]   ; xmm3=tmp6H
    341 
    342    paddd       xmm4, xmm6              ; xmm4=data5L
    343    paddd       xmm1, xmm0              ; xmm1=data5H
    344    paddd       xmm5, XMMWORD [wk(0)]   ; xmm5=data3L
    345    paddd       xmm3, XMMWORD [wk(1)]   ; xmm3=data3H
    346 
    347    paddd       xmm4, [rel PD_DESCALE_P1]
    348    paddd       xmm1, [rel PD_DESCALE_P1]
    349    psrad       xmm4, DESCALE_P1
    350    psrad       xmm1, DESCALE_P1
    351    paddd       xmm5, [rel PD_DESCALE_P1]
    352    paddd       xmm3, [rel PD_DESCALE_P1]
    353    psrad       xmm5, DESCALE_P1
    354    psrad       xmm3, DESCALE_P1
    355 
    356    packssdw    xmm4, xmm1              ; xmm4=data5
    357    packssdw    xmm5, xmm3              ; xmm5=data3
    358 
    359    ; ---- Pass 2: process columns.
    360 
    361    movdqa      xmm6, XMMWORD [wk(2)]   ; xmm6=col0
    362    movdqa      xmm0, XMMWORD [wk(4)]   ; xmm0=col2
    363 
    364    ; xmm6=(00 10 20 30 40 50 60 70), xmm0=(02 12 22 32 42 52 62 72)
    365    ; xmm2=(01 11 21 31 41 51 61 71), xmm5=(03 13 23 33 43 53 63 73)
    366 
    367    movdqa      xmm1, xmm6              ; transpose coefficients(phase 1)
    368    punpcklwd   xmm6, xmm2              ; xmm6=(00 01 10 11 20 21 30 31)
    369    punpckhwd   xmm1, xmm2              ; xmm1=(40 41 50 51 60 61 70 71)
    370    movdqa      xmm3, xmm0              ; transpose coefficients(phase 1)
    371    punpcklwd   xmm0, xmm5              ; xmm0=(02 03 12 13 22 23 32 33)
    372    punpckhwd   xmm3, xmm5              ; xmm3=(42 43 52 53 62 63 72 73)
    373 
    374    movdqa      xmm2, XMMWORD [wk(3)]   ; xmm2=col4
    375    movdqa      xmm5, XMMWORD [wk(5)]   ; xmm5=col6
    376 
    377    ; xmm2=(04 14 24 34 44 54 64 74), xmm5=(06 16 26 36 46 56 66 76)
    378    ; xmm4=(05 15 25 35 45 55 65 75), xmm7=(07 17 27 37 47 57 67 77)
    379 
    380    movdqa      XMMWORD [wk(0)], xmm0   ; wk(0)=(02 03 12 13 22 23 32 33)
    381    movdqa      XMMWORD [wk(1)], xmm3   ; wk(1)=(42 43 52 53 62 63 72 73)
    382 
    383    movdqa      xmm0, xmm2              ; transpose coefficients(phase 1)
    384    punpcklwd   xmm2, xmm4              ; xmm2=(04 05 14 15 24 25 34 35)
    385    punpckhwd   xmm0, xmm4              ; xmm0=(44 45 54 55 64 65 74 75)
    386    movdqa      xmm3, xmm5              ; transpose coefficients(phase 1)
    387    punpcklwd   xmm5, xmm7              ; xmm5=(06 07 16 17 26 27 36 37)
    388    punpckhwd   xmm3, xmm7              ; xmm3=(46 47 56 57 66 67 76 77)
    389 
    390    movdqa      xmm4, xmm2              ; transpose coefficients(phase 2)
    391    punpckldq   xmm2, xmm5              ; xmm2=(04 05 06 07 14 15 16 17)
    392    punpckhdq   xmm4, xmm5              ; xmm4=(24 25 26 27 34 35 36 37)
    393    movdqa      xmm7, xmm0              ; transpose coefficients(phase 2)
    394    punpckldq   xmm0, xmm3              ; xmm0=(44 45 46 47 54 55 56 57)
    395    punpckhdq   xmm7, xmm3              ; xmm7=(64 65 66 67 74 75 76 77)
    396 
    397    movdqa      xmm5, XMMWORD [wk(0)]   ; xmm5=(02 03 12 13 22 23 32 33)
    398    movdqa      xmm3, XMMWORD [wk(1)]   ; xmm3=(42 43 52 53 62 63 72 73)
    399    movdqa      XMMWORD [wk(2)], xmm4   ; wk(2)=(24 25 26 27 34 35 36 37)
    400    movdqa      XMMWORD [wk(3)], xmm0   ; wk(3)=(44 45 46 47 54 55 56 57)
    401 
    402    movdqa      xmm4, xmm6              ; transpose coefficients(phase 2)
    403    punpckldq   xmm6, xmm5              ; xmm6=(00 01 02 03 10 11 12 13)
    404    punpckhdq   xmm4, xmm5              ; xmm4=(20 21 22 23 30 31 32 33)
    405    movdqa      xmm0, xmm1              ; transpose coefficients(phase 2)
    406    punpckldq   xmm1, xmm3              ; xmm1=(40 41 42 43 50 51 52 53)
    407    punpckhdq   xmm0, xmm3              ; xmm0=(60 61 62 63 70 71 72 73)
    408 
    409    movdqa      xmm5, xmm6              ; transpose coefficients(phase 3)
    410    punpcklqdq  xmm6, xmm2              ; xmm6=(00 01 02 03 04 05 06 07)=data0
    411    punpckhqdq  xmm5, xmm2              ; xmm5=(10 11 12 13 14 15 16 17)=data1
    412    movdqa      xmm3, xmm0              ; transpose coefficients(phase 3)
    413    punpcklqdq  xmm0, xmm7              ; xmm0=(60 61 62 63 64 65 66 67)=data6
    414    punpckhqdq  xmm3, xmm7              ; xmm3=(70 71 72 73 74 75 76 77)=data7
    415 
    416    movdqa      xmm2, xmm5
    417    movdqa      xmm7, xmm6
    418    psubw       xmm5, xmm0              ; xmm5=data1-data6=tmp6
    419    psubw       xmm6, xmm3              ; xmm6=data0-data7=tmp7
    420    paddw       xmm2, xmm0              ; xmm2=data1+data6=tmp1
    421    paddw       xmm7, xmm3              ; xmm7=data0+data7=tmp0
    422 
    423    movdqa      xmm0, XMMWORD [wk(2)]   ; xmm0=(24 25 26 27 34 35 36 37)
    424    movdqa      xmm3, XMMWORD [wk(3)]   ; xmm3=(44 45 46 47 54 55 56 57)
    425    movdqa      XMMWORD [wk(0)], xmm5   ; wk(0)=tmp6
    426    movdqa      XMMWORD [wk(1)], xmm6   ; wk(1)=tmp7
    427 
    428    movdqa      xmm5, xmm4              ; transpose coefficients(phase 3)
    429    punpcklqdq  xmm4, xmm0              ; xmm4=(20 21 22 23 24 25 26 27)=data2
    430    punpckhqdq  xmm5, xmm0              ; xmm5=(30 31 32 33 34 35 36 37)=data3
    431    movdqa      xmm6, xmm1              ; transpose coefficients(phase 3)
    432    punpcklqdq  xmm1, xmm3              ; xmm1=(40 41 42 43 44 45 46 47)=data4
    433    punpckhqdq  xmm6, xmm3              ; xmm6=(50 51 52 53 54 55 56 57)=data5
    434 
    435    movdqa      xmm0, xmm5
    436    movdqa      xmm3, xmm4
    437    paddw       xmm5, xmm1              ; xmm5=data3+data4=tmp3
    438    paddw       xmm4, xmm6              ; xmm4=data2+data5=tmp2
    439    psubw       xmm0, xmm1              ; xmm0=data3-data4=tmp4
    440    psubw       xmm3, xmm6              ; xmm3=data2-data5=tmp5
    441 
    442    ; -- Even part
    443 
    444    movdqa      xmm1, xmm7
    445    movdqa      xmm6, xmm2
    446    paddw       xmm7, xmm5              ; xmm7=tmp10
    447    paddw       xmm2, xmm4              ; xmm2=tmp11
    448    psubw       xmm1, xmm5              ; xmm1=tmp13
    449    psubw       xmm6, xmm4              ; xmm6=tmp12
    450 
    451    movdqa      xmm5, xmm7
    452    paddw       xmm7, xmm2              ; xmm7=tmp10+tmp11
    453    psubw       xmm5, xmm2              ; xmm5=tmp10-tmp11
    454 
    455    paddw       xmm7, [rel PW_DESCALE_P2X]
    456    paddw       xmm5, [rel PW_DESCALE_P2X]
    457    psraw       xmm7, PASS1_BITS        ; xmm7=data0
    458    psraw       xmm5, PASS1_BITS        ; xmm5=data4
    459 
    460    movdqa      XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)], xmm7
    461    movdqa      XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)], xmm5
    462 
    463    ; (Original)
    464    ; z1 = (tmp12 + tmp13) * 0.541196100;
    465    ; data2 = z1 + tmp13 * 0.765366865;
    466    ; data6 = z1 + tmp12 * -1.847759065;
    467    ;
    468    ; (This implementation)
    469    ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
    470    ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
    471 
    472    movdqa      xmm4, xmm1              ; xmm1=tmp13
    473    movdqa      xmm2, xmm1
    474    punpcklwd   xmm4, xmm6              ; xmm6=tmp12
    475    punpckhwd   xmm2, xmm6
    476    movdqa      xmm1, xmm4
    477    movdqa      xmm6, xmm2
    478    pmaddwd     xmm4, [rel PW_F130_F054]   ; xmm4=data2L
    479    pmaddwd     xmm2, [rel PW_F130_F054]   ; xmm2=data2H
    480    pmaddwd     xmm1, [rel PW_F054_MF130]  ; xmm1=data6L
    481    pmaddwd     xmm6, [rel PW_F054_MF130]  ; xmm6=data6H
    482 
    483    paddd       xmm4, [rel PD_DESCALE_P2]
    484    paddd       xmm2, [rel PD_DESCALE_P2]
    485    psrad       xmm4, DESCALE_P2
    486    psrad       xmm2, DESCALE_P2
    487    paddd       xmm1, [rel PD_DESCALE_P2]
    488    paddd       xmm6, [rel PD_DESCALE_P2]
    489    psrad       xmm1, DESCALE_P2
    490    psrad       xmm6, DESCALE_P2
    491 
    492    packssdw    xmm4, xmm2              ; xmm4=data2
    493    packssdw    xmm1, xmm6              ; xmm1=data6
    494 
    495    movdqa      XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)], xmm4
    496    movdqa      XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)], xmm1
    497 
    498    ; -- Odd part
    499 
    500    movdqa      xmm7, XMMWORD [wk(0)]   ; xmm7=tmp6
    501    movdqa      xmm5, XMMWORD [wk(1)]   ; xmm5=tmp7
    502 
    503    movdqa      xmm2, xmm0              ; xmm0=tmp4
    504    movdqa      xmm6, xmm3              ; xmm3=tmp5
    505    paddw       xmm2, xmm7              ; xmm2=z3
    506    paddw       xmm6, xmm5              ; xmm6=z4
    507 
    508    ; (Original)
    509    ; z5 = (z3 + z4) * 1.175875602;
    510    ; z3 = z3 * -1.961570560;  z4 = z4 * -0.390180644;
    511    ; z3 += z5;  z4 += z5;
    512    ;
    513    ; (This implementation)
    514    ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
    515    ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
    516 
    517    movdqa      xmm4, xmm2
    518    movdqa      xmm1, xmm2
    519    punpcklwd   xmm4, xmm6
    520    punpckhwd   xmm1, xmm6
    521    movdqa      xmm2, xmm4
    522    movdqa      xmm6, xmm1
    523    pmaddwd     xmm4, [rel PW_MF078_F117]  ; xmm4=z3L
    524    pmaddwd     xmm1, [rel PW_MF078_F117]  ; xmm1=z3H
    525    pmaddwd     xmm2, [rel PW_F117_F078]   ; xmm2=z4L
    526    pmaddwd     xmm6, [rel PW_F117_F078]   ; xmm6=z4H
    527 
    528    movdqa      XMMWORD [wk(0)], xmm4   ; wk(0)=z3L
    529    movdqa      XMMWORD [wk(1)], xmm1   ; wk(1)=z3H
    530 
    531    ; (Original)
    532    ; z1 = tmp4 + tmp7;  z2 = tmp5 + tmp6;
    533    ; tmp4 = tmp4 * 0.298631336;  tmp5 = tmp5 * 2.053119869;
    534    ; tmp6 = tmp6 * 3.072711026;  tmp7 = tmp7 * 1.501321110;
    535    ; z1 = z1 * -0.899976223;  z2 = z2 * -2.562915447;
    536    ; data7 = tmp4 + z1 + z3;  data5 = tmp5 + z2 + z4;
    537    ; data3 = tmp6 + z2 + z3;  data1 = tmp7 + z1 + z4;
    538    ;
    539    ; (This implementation)
    540    ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
    541    ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
    542    ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
    543    ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
    544    ; data7 = tmp4 + z3;  data5 = tmp5 + z4;
    545    ; data3 = tmp6 + z3;  data1 = tmp7 + z4;
    546 
    547    movdqa      xmm4, xmm0
    548    movdqa      xmm1, xmm0
    549    punpcklwd   xmm4, xmm5
    550    punpckhwd   xmm1, xmm5
    551    movdqa      xmm0, xmm4
    552    movdqa      xmm5, xmm1
    553    pmaddwd     xmm4, [rel PW_MF060_MF089]  ; xmm4=tmp4L
    554    pmaddwd     xmm1, [rel PW_MF060_MF089]  ; xmm1=tmp4H
    555    pmaddwd     xmm0, [rel PW_MF089_F060]   ; xmm0=tmp7L
    556    pmaddwd     xmm5, [rel PW_MF089_F060]   ; xmm5=tmp7H
    557 
    558    paddd       xmm4,  XMMWORD [wk(0)]  ; xmm4=data7L
    559    paddd       xmm1,  XMMWORD [wk(1)]  ; xmm1=data7H
    560    paddd       xmm0, xmm2              ; xmm0=data1L
    561    paddd       xmm5, xmm6              ; xmm5=data1H
    562 
    563    paddd       xmm4, [rel PD_DESCALE_P2]
    564    paddd       xmm1, [rel PD_DESCALE_P2]
    565    psrad       xmm4, DESCALE_P2
    566    psrad       xmm1, DESCALE_P2
    567    paddd       xmm0, [rel PD_DESCALE_P2]
    568    paddd       xmm5, [rel PD_DESCALE_P2]
    569    psrad       xmm0, DESCALE_P2
    570    psrad       xmm5, DESCALE_P2
    571 
    572    packssdw    xmm4, xmm1              ; xmm4=data7
    573    packssdw    xmm0, xmm5              ; xmm0=data1
    574 
    575    movdqa      XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)], xmm4
    576    movdqa      XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)], xmm0
    577 
    578    movdqa      xmm1, xmm3
    579    movdqa      xmm5, xmm3
    580    punpcklwd   xmm1, xmm7
    581    punpckhwd   xmm5, xmm7
    582    movdqa      xmm3, xmm1
    583    movdqa      xmm7, xmm5
    584    pmaddwd     xmm1, [rel PW_MF050_MF256]  ; xmm1=tmp5L
    585    pmaddwd     xmm5, [rel PW_MF050_MF256]  ; xmm5=tmp5H
    586    pmaddwd     xmm3, [rel PW_MF256_F050]   ; xmm3=tmp6L
    587    pmaddwd     xmm7, [rel PW_MF256_F050]   ; xmm7=tmp6H
    588 
    589    paddd       xmm1, xmm2              ; xmm1=data5L
    590    paddd       xmm5, xmm6              ; xmm5=data5H
    591    paddd       xmm3, XMMWORD [wk(0)]   ; xmm3=data3L
    592    paddd       xmm7, XMMWORD [wk(1)]   ; xmm7=data3H
    593 
    594    paddd       xmm1, [rel PD_DESCALE_P2]
    595    paddd       xmm5, [rel PD_DESCALE_P2]
    596    psrad       xmm1, DESCALE_P2
    597    psrad       xmm5, DESCALE_P2
    598    paddd       xmm3, [rel PD_DESCALE_P2]
    599    paddd       xmm7, [rel PD_DESCALE_P2]
    600    psrad       xmm3, DESCALE_P2
    601    psrad       xmm7, DESCALE_P2
    602 
    603    packssdw    xmm1, xmm5              ; xmm1=data5
    604    packssdw    xmm3, xmm7              ; xmm3=data3
    605 
    606    movdqa      XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)], xmm1
    607    movdqa      XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)], xmm3
    608 
    609    UNCOLLECT_ARGS 1
    610    lea         rsp, [rbp-8]
    611    pop         r15
    612    pop         rbp
    613    ret
    614 
    615 ; For some reason, the OS X linker does not honor the request to align the
    616 ; segment unless we do this.
    617    align       32