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      1 ;
      2 ; jfss2int-64.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) PRIVATE
     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) PRIVATE
    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