[hatari-devel] DSP questions (a-law table incorrect?)

[Thorsten Otto <admin@xxxxxxxxxxx>]

Hi,

while experimenting with some DSP code, i found that Aranym/Hatari does not 
seem to generate the correct a-law table that is contained in the ROM. During 
initialization 3 tables are generated, a sin-table in Y-rom, and mulaw and a-
law tables in X-rom. Comparing the output of the algorithm with the tables 
that are given in the datasheet, it looks like the sin- and mulaw-table seem 
to be ok, but the a-law table isn't. Does anybody know where the algorithm 
that generates this tables comes from? I haven't found a hint in any of the 
manuals. Also a few of the values in the sin-table are off by one bit, which 
seems to be caused by casting the result to an integer. Using round() first 
seems to generate the exact result.

Could someone please run the attached program? It attempts to dump the 
internal tables, and writes a mem.txt file in the current directory with the 
results. Also attached is a text file with the tables extracted form the pdf 
documents in text form, and the different a-law tables that are generated by 
our algorithm.

Don't know if there is any program that makes use of them, but at least it 
does not seem to be right.

Also, the 56001 manual mentions a DM bit (double precision multiply) in the 
mode register which does not seem to be emulated. It seems to only affect a 
few opcodes.

What also seems to be wrong is the way the external ram is emulated. Access to 
it are capped by a (RAMSIZE-1) mask, but RAMSIZE is the total of X- and Y- 
ram, and X-ram is emulated by using the 2nd half of the P-ram. So if someone 
accesses X:$5000 that would access memory beyond the end of the array, and due 
to the masking, read Y:$1000 instead.

Attachment: dumpmem.tos
Description: application/wine-extension-tos

ORG X:$100

M_00 DC $7D7C00 ; 8031
M_01 DC $797C00 ; 7775
M_02 DC $757C00 ; 7519
M_03 DC $717C00 ; 7263
M_04 DC $6D7C00 ; 7007
M_05 DC $697C00 ; 6751
M_06 DC $657C00 ; 6495
M_07 DC $617C00 ; 6239
M_08 DC $5D7C00 ; 5983
M_09 DC $597C00 ; 5727
M_0A DC $557C00 ; 5471
M_0B DC $517C00 ; 5215
M_0C DC $4D7C00 ; 4959
M_0D DC $497C00 ; 4703
M_0E DC $457C00 ; 4447
M_0F DC $417C00 ; 4191
M_10 DC $3E7C00 ; 3999
M_11 DC $3C7C00 ; 3871
M_12 DC $3A7C00 ; 3743
M_13 DC $387C00 ; 3615
M_14 DC $367C00 ; 3487
M_15 DC $347C00 ; 3359
M_16 DC $327C00 ; 3231
M_17 DC $307C00 ; 3103
M_18 DC $2E7C00 ; 2975
M_19 DC $2C7C00 ; 2847
M_1A DC $2A7C00 ; 2719
M_1B DC $287C00 ; 2591
M_1C DC $267C00 ; 2463
M_1D DC $247C00 ; 2335
M_1E DC $227C00 ; 2207
M_1F DC $207C00 ; 2079
M_20 DC $1EFC00 ; 1983
M_21 DC $1DFC00 ; 1919
M_22 DC $1CFC00 ; 1855
M_23 DC $1BFC00 ; 1791
M_24 DC $1AFC00 ; 1727
M_25 DC $19FC00 ; 1663
M_26 DC $18FC00 ; 1599
M_27 DC $17FC00 ; 1535
M_28 DC $16FC00 ; 1471
M_29 DC $15FC00 ; 1407
M_2A DC $14FC00 ; 1343
M_2B DC $13FC00 ; 1279
M_2C DC $12FC00 ; 1215
M_2D DC $11FC00 ; 1151
M_2E DC $10FC00 ; 1087
M_2F DC $0FFC00 ; 1023
M_30 DC $0F3C00 ; 975
M_31 DC $0EBC00 ; 943
M_32 DC $0E3C00 ; 911
M_33 DC $0DBC00 ; 879
M_34 DC $0D3C00 ; 847
M_35 DC $0CBC00 ; 815
M_36 DC $0C3C00 ; 783
M_37 DC $0BBC00 ; 751
M_38 DC $0B3C00 ; 719
M_39 DC $0ABC00 ; 687
M_3A DC $0A3C00 ; 655
M_3B DC $09BC00 ; 623
M_3C DC $093C00 ; 591
M_3D DC $08BC00 ; 559
M_3E DC $083C00 ; 527
M_3F DC $07BC00 ; 495
M_40 DC $075C00 ; 471
M_41 DC $071C00 ; 455
M_42 DC $06DC00 ; 439
M_43 DC $069C00 ; 423
M_44 DC $065C00 ; 407
M_45 DC $061C00 ; 391
M_46 DC $05DC00 ; 375
M_47 DC $059C00 ; 359
M_48 DC $055C00 ; 343
M_49 DC $051C00 ; 327
M_4A DC $04DC00 ; 311
M_4B DC $049C00 ; 295
M_4C DC $045C00 ; 279
M_4D DC $041C00 ; 263
M_4E DC $03DC00 ; 247
M_4F DC $039C00 ; 231
M_50 DC $036C00 ; 219
M_51 DC $034C00 ; 211
M_52 DC $032C00 ; 203
M_53 DC $030C00 ; 195
M_54 DC $02EC00 ; 187
M_55 DC $02CC00 ; 179
M_56 DC $02AC00 ; 171
M_57 DC $028C00 ; 163
M_58 DC $026C00 ; 155
M_59 DC $024C00 ; 147
M_5A DC $022C00 ; 139
M_5B DC $020C00 ; 131
M_5C DC $01EC00 ; 123
M_5D DC $01CC00 ; 115
M_5E DC $01AC00 ; 107
M_5F DC $018C00 ; 99
M_60 DC $017400 ; 93
M_61 DC $016400 ; 89
M_62 DC $015400 ; 85
M_63 DC $014400 ; 81
M_64 DC $013400 ; 77
M_65 DC $012400 ; 73
M_66 DC $011400 ; 69
M_67 DC $010400 ; 65
M_68 DC $00F400 ; 61
M_69 DC $00E400 ; 57
M_6A DC $00D400 ; 53
M_6B DC $00C400 ; 49
M_6C DC $00B400 ; 45
M_6D DC $00A400 ; 41
M_6E DC $009400 ; 37
M_6F DC $008400 ; 33
M_70 DC $007800 ; 30
M_71 DC $007000 ; 28
M_72 DC $006800 ; 26
M_73 DC $006000 ; 24
M_74 DC $005800 ; 22
M_75 DC $005000 ; 20
M_76 DC $004800 ; 18
M_77 DC $004000 ; 16
M_78 DC $003800 ; 14
M_79 DC $003000 ; 12
M_7A DC $002800 ; 10
M_7B DC $002000 ; 8
M_7C DC $001800 ; 6
M_7D DC $001000 ; 4
M_7E DC $000800 ; 2
M_7F DC $000000 ; 0

/* a-law table from user manual */
A_80 DC $158000 ; 688
A_81 DC $148000 ; 656
A_82 DC $178000 ; 752
A_83 DC $168000 ; 720
A_84 DC $118000 ; 560
A_85 DC $108000 ; 528
A_86 DC $138000 ; 624
A_87 DC $128000 ; 592
A_88 DC $1D8000 ; 944
A_89 DC $1C8000 ; 912
A_8A DC $1F8000 ; 1008
A_8B DC $1E8000 ; 976
A_8C DC $198000 ; 816
A_8D DC $188000 ; 784
A_8E DC $1B8000 ; 880
A_8F DC $1A8000 ; 848
A_90 DC $0AC000 ; 344
A_91 DC $0A4000 ; 328
A_92 DC $0BC000 ; 376
A_93 DC $0B4000 ; 360
A_94 DC $08C000 ; 280
A_95 DC $084000 ; 264
A_96 DC $09C000 ; 312
A_97 DC $094000 ; 296
A_98 DC $0EC000 ; 472
A_99 DC $0E4000 ; 456
A_9A DC $0FC000 ; 504
A_9B DC $0F4000 ; 488
A_9C DC $0CC000 ; 408
A_9D DC $0C4000 ; 392
A_9E DC $0DC000 ; 440
A_9F DC $0D4000 ; 424
A_A0 DC $560000 ; 2752
A_A1 DC $520000 ; 2624
A_A2 DC $5E0000 ; 3008
A_A3 DC $5A0000 ; 2880
A_A4 DC $460000 ; 2240
A_A5 DC $420000 ; 2112
A_A6 DC $4E0000 ; 2496
A_A7 DC $4A0000 ; 2368
A_A8 DC $760000 ; 3776
A_A9 DC $720000 ; 3648
A_AA DC $7E0000 ; 4032
A_AB DC $7A0000 ; 3904
A_AC DC $660000 ; 3264
A_AD DC $620000 ; 3136
A_AE DC $6E0000 ; 3520
A_AF DC $6A0000 ; 3392
A_B0 DC $2B0000 ; 1376
A_B1 DC $290000 ; 1312
A_B2 DC $2F0000 ; 1504
A_B3 DC $2D0000 ; 1440
A_B4 DC $230000 ; 1120
A_B5 DC $210000 ; 1056
A_B6 DC $270000 ; 1248
A_B7 DC $250000 ; 1184
A_B8 DC $3B0000 ; 1888
A_B9 DC $390000 ; 1824
A_BA DC $3F0000 ; 2016
A_BB DC $3D0000 ; 1952
A_BC DC $330000 ; 1632
A_BD DC $310000 ; 1568
A_BE DC $370000 ; 1760
A_BF DC $350000 ; 1696
A_C0 DC $015800 ; 43
A_C1 DC $014800 ; 41
A_C2 DC $017800 ; 47
A_C3 DC $016800 ; 45
A_C4 DC $011800 ; 35
A_C5 DC $010800 ; 33
A_C6 DC $013800 ; 39
A_C7 DC $012800 ; 37
A_C8 DC $01D800 ; 59
A_C9 DC $01C800 ; 57
A_CA DC $01F800 ; 63
A_CB DC $01E800 ; 61
A_CC DC $019800 ; 51
A_CD DC $018800 ; 49
A_CE DC $01B800 ; 55
A_CF DC $01A800 ; 53
A_D0 DC $005800 ; 11
A_D1 DC $004800 ; 9
A_D2 DC $007800 ; 15
A_D3 DC $006800 ; 13
A_D4 DC $001800 ; 3
A_D5 DC $000800 ; 1
A_D6 DC $003800 ; 7
A_D7 DC $002800 ; 5
A_D8 DC $00D800 ; 27
A_D9 DC $00C800 ; 25
A_DA DC $00F800 ; 31
A_DB DC $00E800 ; 29
A_DC DC $009800 ; 19
A_DD DC $008800 ; 17
A_DE DC $00B800 ; 23
A_DF DC $00A800 ; 21
A_E0 DC $056000 ; 172
A_E1 DC $052000 ; 164
A_E2 DC $05E000 ; 188
A_E3 DC $05A000 ; 180
A_E4 DC $046000 ; 140
A_E5 DC $042000 ; 132
A_E6 DC $04E000 ; 156
A_E7 DC $04A000 ; 148
A_E8 DC $076000 ; 236
A_E9 DC $072000 ; 228
A_EA DC $07E000 ; 252
A_EB DC $07A000 ; 244
A_EC DC $066000 ; 204
A_ED DC $062000 ; 196
A_EE DC $06E000 ; 220
A_EF DC $06A000 ; 212
A_F0 DC $02B000 ; 86
A_F1 DC $029000 ; 82
A_F2 DC $02F000 ; 94
A_F3 DC $02D000 ; 90
A_F4 DC $023000 ; 70
A_F5 DC $021000 ; 66
A_F6 DC $027000 ; 78
A_F7 DC $025000 ; 74
A_F8 DC $03B000 ; 118
A_F9 DC $039000 ; 114
A_FA DC $03F000 ; 126
A_FB DC $03D000 ; 122
A_FC DC $033000 ; 102
A_FD DC $031000 ; 98
A_FE DC $037000 ; 110
A_FF DC $035000 ; 106

/* a-law table generated by ARAnyM/Hatari */
A_80 DC $158000 ; 688
A_81 DC $148000 ; 656
A_82 DC $178000 ; 752
A_83 DC $168000 ; 720
A_84 DC $118000 ; 560
A_85 DC $108000 ; 528
A_86 DC $138000 ; 624
A_87 DC $128000 ; 592
A_88 DC $1D8000 ; 944
A_89 DC $1C8000 ; 912
A_8A DC $1F8000 ; 1008
A_8B DC $1E8000 ; 976
A_8C DC $198000 ; 816
A_8D DC $188000 ; 784
A_8E DC $1B8000 ; 880
A_8F DC $1A8000 ; 848
A_90 DC $0AC000 ; 344
A_91 DC $0AB000 ; 342
A_92 DC $0AE000 ; 348
A_93 DC $0AD000 ; 346
A_94 DC $0A8000 ; 336
A_95 DC $0A7000 ; 334
A_96 DC $0AA000 ; 340
A_97 DC $0A9000 ; 338
A_98 DC $0B4000 ; 360
A_99 DC $0B3000 ; 358
A_9A DC $0B6000 ; 364
A_9B DC $0B5000 ; 362
A_9C DC $0B0000 ; 352
A_9D DC $0AF000 ; 350
A_9E DC $0B2000 ; 356
A_9F DC $0B1000 ; 354
A_A0 DC $560000 ; 2752
A_A1 DC $55C000 ; 2744
A_A2 DC $568000 ; 2768
A_A3 DC $564000 ; 2760
A_A4 DC $550000 ; 2720
A_A5 DC $54C000 ; 2712
A_A6 DC $558000 ; 2736
A_A7 DC $554000 ; 2728
A_A8 DC $580000 ; 2816
A_A9 DC $57C000 ; 2808
A_AA DC $588000 ; 2832
A_AB DC $584000 ; 2824
A_AC DC $570000 ; 2784
A_AD DC $56C000 ; 2776
A_AE DC $578000 ; 2800
A_AF DC $574000 ; 2792
A_B0 DC $2B0000 ; 1376
A_B1 DC $2AE000 ; 1372
A_B2 DC $2B4000 ; 1384
A_B3 DC $2B2000 ; 1380
A_B4 DC $2A8000 ; 1360
A_B5 DC $2A6000 ; 1356
A_B6 DC $2AC000 ; 1368
A_B7 DC $2AA000 ; 1364
A_B8 DC $2C0000 ; 1408
A_B9 DC $2BE000 ; 1404
A_BA DC $2C4000 ; 1416
A_BB DC $2C2000 ; 1412
A_BC DC $2B8000 ; 1392
A_BD DC $2B6000 ; 1388
A_BE DC $2BC000 ; 1400
A_BF DC $2BA000 ; 1396
A_C0 DC $158000 ; 688
A_C1 DC $148000 ; 656
A_C2 DC $178000 ; 752
A_C3 DC $168000 ; 720
A_C4 DC $118000 ; 560
A_C5 DC $108000 ; 528
A_C6 DC $138000 ; 624
A_C7 DC $128000 ; 592
A_C8 DC $1D8000 ; 944
A_C9 DC $1C8000 ; 912
A_CA DC $1F8000 ; 1008
A_CB DC $1E8000 ; 976
A_CC DC $198000 ; 816
A_CD DC $188000 ; 784
A_CE DC $1B8000 ; 880
A_CF DC $1A8000 ; 848
A_D0 DC $005800 ; 11
A_D1 DC $004800 ; 9
A_D2 DC $007800 ; 15
A_D3 DC $006800 ; 13
A_D4 DC $001800 ; 3
A_D5 DC $000800 ; 1
A_D6 DC $003800 ; 7
A_D7 DC $002800 ; 5
A_D8 DC $00D800 ; 27
A_D9 DC $00C800 ; 25
A_DA DC $00F800 ; 31
A_DB DC $00E800 ; 29
A_DC DC $009800 ; 19
A_DD DC $008800 ; 17
A_DE DC $00B800 ; 23
A_DF DC $00A800 ; 21
A_E0 DC $056000 ; 172
A_E1 DC $052000 ; 164
A_E2 DC $05E000 ; 188
A_E3 DC $05A000 ; 180
A_E4 DC $046000 ; 140
A_E5 DC $042000 ; 132
A_E6 DC $04E000 ; 156
A_E7 DC $04A000 ; 148
A_E8 DC $076000 ; 236
A_E9 DC $072000 ; 228
A_EA DC $07E000 ; 252
A_EB DC $07A000 ; 244
A_EC DC $066000 ; 204
A_ED DC $062000 ; 196
A_EE DC $06E000 ; 220
A_EF DC $06A000 ; 212
A_F0 DC $02B000 ; 86
A_F1 DC $029000 ; 82
A_F2 DC $02F000 ; 94
A_F3 DC $02D000 ; 90
A_F4 DC $023000 ; 70
A_F5 DC $021000 ; 66
A_F6 DC $027000 ; 78
A_F7 DC $025000 ; 74
A_F8 DC $03B000 ; 118
A_F9 DC $039000 ; 114
A_FA DC $03F000 ; 126
A_FB DC $03D000 ; 122
A_FC DC $033000 ; 102
A_FD DC $031000 ; 98
A_FE DC $037000 ; 110
A_FF DC $035000 ; 106


ORG
 Y:$100

S_00 DC $000000 ; +0.0000000000
S_01 DC $03242B ; +0.0245412998
S_02 DC $0647D9 ; +0.0490676016
S_03 DC $096A90 ; +0.0735644996
S_04 DC $0C8BD3 ; +0.0980170965
S_05 DC $0FAB27 ; +0.1224106997
S_06 DC $12C810 ; +0.1467303932
S_07 DC $15E214 ; +0.1709619015
S_08 DC $18F8B8 ; +0.1950902939
S_09 DC $1C0B82 ; +0.2191012055
S_0A DC $1F19F9 ; +0.2429800928
S_0B DC $2223A5 ; +0.2667128146
S_0C DC $25280C ; +0.2902846038
S_0D DC $2826B9 ; +0.3136816919
S_0E DC $2B1F35 ; +0.3368898928
S_0F DC $2E110A ; +0.3598949909
S_10 DC $30FBC5 ; +0.3826833963
S_11 DC $33DEF3 ; +0.4052414000
S_12 DC $36BA20 ; +0.4275551140
S_13 DC $398CDD ; +0.4496113062
S_14 DC $3C56BA ; +0.4713967144
S_15 DC $3F174A ; +0.4928981960
S_16 DC $41CE1E ; +0.5141026974
S_17 DC $447ACD ; +0.5349975824
S_18 DC $471CED ; +0.5555701852
S_19 DC $49B415 ; +0.5758082271
S_1A DC $4C3FE0 ; +0.5956993103
S_1B DC $4EBFE9 ; +0.6152315736
S_1C DC $5133CD ; +0.6343932748
S_1D DC $539B2B ; +0.6531729102
S_1E DC $55F5A5 ; +0.6715589762
S_1F DC $5842DD ; +0.6895405054
S_20 DC $5A827A ; +0.7071068287
S_21 DC $5CB421 ; +0.7242470980
S_22 DC $5ED77D ; +0.7409511805
S_23 DC $60EC38 ; +0.7572088242
S_24 DC $62F202 ; +0.7730104923
S_25 DC $64E889 ; +0.7883464098
S_26 DC $66CF81 ; +0.8032075167
S_27 DC $68A69F ; +0.8175848722
S_28 DC $6A6D99 ; +0.8314697146
S_29 DC $6C2429 ; +0.8448535204
S_2A DC $6DCA0D ; +0.8577286005
S_2B DC $6F5F03 ; +0.8700870275
S_2C DC $70E2CC ; +0.8819212914
S_2D DC $72552D ; +0.8932244182
S_2E DC $73B5EC ; +0.9039893150
S_2F DC $7504D3 ; +0.9142097235
S_30 DC $7641AF ; +0.9238795042
S_31 DC $776C4F ; +0.9329928160
S_32 DC $788484 ; +0.9415441155
S_33 DC $798A24 ; +0.9495282173
S_34 DC $7A7D05 ; +0.9569402933
S_35 DC $7B5D04 ; +0.9637761116
S_36 DC $7C29FC ; +0.9700313210
S_37 DC $7CE3CF ; +0.9757022262
S_38 DC $7D8A5F ; +0.9807853103
S_39 DC $7E1D94 ; +0.9852777123
S_3A DC $7E9D56 ; +0.9891765118
S_3B DC $7F0992 ; +0.9924796224
S_3C DC $7F6237 ; +0.9951847792
S_3D DC $7FA737 ; +0.9972904921
S_3E DC $7FD888 ; +0.9987955093
S_3F DC $7FF622 ; +0.9996988773
S_40 DC $7FFFFF ; +0.9999998808
S_41 DC $7FF622 ; +0.9996988773
S_42 DC $7FD888 ; +0.9987955093
S_43 DC $7FA737 ; +0.9972904921
S_44 DC $7F6237 ; +0.9951847792
S_45 DC $7F0992 ; +0.9924796224
S_46 DC $7E9D56 ; +0.9891765118
S_47 DC $7E1D94 ; +0.9852777123
S_48 DC $7D8A5F ; +0.9807853103
S_49 DC $7CE3CF ; +0.9757022262
S_4A DC $7C29FC ; +0.9700313210
S_4B DC $7B5D04 ; +0.9637761116
S_4C DC $7A7D05 ; +0.9569402933
S_4D DC $798A24 ; +0.9495282173
S_4E DC $788484 ; +0.9415441155
S_4F DC $776C4F ; +0.9329928160
S_50 DC $7641AF ; +0.9238795042
S_51 DC $7504D3 ; +0.9142097235
S_52 DC $73B5EC ; +0.9039893150
S_53 DC $72552D ; +0.8932244182
S_54 DC $70E2CC ; +0.8819212914
S_55 DC $6F5F03 ; +0.8700870275
S_56 DC $6DCA0D ; +0.8577286005
S_57 DC $6C2429 ; +0.8448535204
S_58 DC $6A6D99 ; +0.8314697146
S_59 DC $68A69F ; +0.8175848722
S_5A DC $66CF81 ; +0.8032075167
S_5B DC $64E889 ; +0.7883464098
S_5C DC $62F202 ; +0.7730104923
S_5D DC $60EC38 ; +0.7572088242
S_5E DC $5ED77D ; +0.7409511805
S_5F DC $5CB421 ; +0.7242470980
S_60 DC $5A827A ; +0.7071068287
S_61 DC $5842DD ; +0.6895405054
S_62 DC $55F5A5 ; +0.6715589762
S_63 DC $539B2B ; +0.6531729102
S_64 DC $5133CD ; +0.6343932748
S_65 DC $4EBFE9 ; +0.6152315736
S_66 DC $4C3FE0 ; +0.5956993103
S_67 DC $49B415 ; +0.5758082271
S_68 DC $471CED ; +0.5555701852
S_69 DC $447ACD ; +0.5349975824
S_6A DC $41CE1E ; +0.5141026974
S_6B DC $3F174A ; +0.4928981960
S_6C DC $3C56BA ; +0.4713967144
S_6D DC $398CDD ; +0.4496113062
S_6E DC $36BA20 ; +0.4275551140
S_6F DC $33DEF3 ; +0.4052414000
S_70 DC $30FBC5 ; +0.3826833963
S_71 DC $2E110A ; +0.3598949909
S_72 DC $2B1F35 ; +0.3368898928
S_73 DC $2826B9 ; +0.3136816919
S_74 DC $25280C ; +0.2902846038
S_75 DC $2223A5 ; +0.2667128146
S_76 DC $1F19F9 ; +0.2429800928
S_77 DC $1C0B82 ; +0.2191012055
S_78 DC $18F8B8 ; +0.1950902939
S_79 DC $15E214 ; +0.1709619015
S_7A DC $12C810 ; +0.1467303932
S_7B DC $0FAB27 ; +0.1224106997
S_7C DC $0C8BD3 ; +0.0980170965
S_7D DC $096A90 ; +0.0735644996
S_7E DC $0647D9 ; +0.0490676016
S_7F DC $03242B ; +0.0245412998
S_80 DC $000000 ; +0.0000000000
S_81 DC $FCDBD5 ; -0.0245412998
S_82 DC $F9B827 ; -0.0490676016
S_83 DC $F69570 ; -0.0735644996
S_84 DC $F3742D ; -0.0980170965
S_85 DC $F054D9 ; -0.1224106997
S_86 DC $ED37F0 ; -0.1467303932
S_87 DC $EA1DEC ; -0.1709619015
S_88 DC $E70748 ; -0.1950902939
S_89 DC $E3F47E ; -0.2191012055
S_8A DC $E0E607 ; -0.2429800928
S_8B DC $DDDC5B ; -0.2667128146
S_8C DC $DAD7F4 ; -0.2902846038
S_8D DC $D7D947 ; -0.3136816919
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