Re: [stella] 7800 development

Subject: Re: [stella] 7800 development
From: Keith Gerdes <kwg@xxxxxxxxxxxx>
Date: Tue, 07 Aug 2001 18:10:19 -0500
Here's some data I extracted from the TTP file.

Maybe the variable names will give some clues....


; 264 bytes
; A_munge
; $F52E in bootROM
s:		dc	$C765,$ABCA,$EEF7,$8309
t:		dc	$E1D0,$9267,$62B6,$7255
		dc	$8E91,$DCC5,$81BE,$7820
		dc	$59B7,$E63D,$0645,$AFC8
		dc	$0831,$38D1,$FB73,$84A9
		dc	$17FC,$3487,$A394,$FA90
		dc	$B8ED,$CE3B,$5B0A,$43D9
		dc	$F353,$82B3,$0D6D,$5A60
		dc	$9D51,$A7B9,$1110,$BCE4
		dc	$7F80,$41E7,$E3F6,$5626
		dc	$35EC,$D6DF,$0C7F,$F49E
		dc	$AC52,$46EF,$CFBF,$A23F
		dc	$A413,$1597,$4A1C,$B042
		dc	$8CB1,$0558,$8018,$772B
		dc	$023E,$A849,$1A6A,$CB6E
		dc	$0B8A,$EBF1,$4F14,$798B
		dc	$D89F,$9B57,$19F8,$2A2D
		dc	$760E,$E82E,$4BF9,$0703
		dc	$DE93,$167E,$D4E5,$B2F0
		dc	$7D7A,$DAD2,$A1CC,$1DE0
		dc	$5E23,$A095,$221E,$3685
		dc	$FE1F,$39AA,$8996,$AD0F
		dc	$2FC0,$4727,$5D24,$EAC3
		dc	$A5F5,$215F,$1B40,$8FAE
		dc	$7425,$DDC1,$7CCD,$A670
		dc	$D733,$7B2C,$75BB,$8699
		dc	$BD54,$9A6C,$6332,$484C
		dc	$8DBA,$5C61,$C44E,$2937
		dc	$12C6,$989C,$D569,$6BE2
		dc	$044D,$E9C2,$883A,$DB64
		dc	$0144,$6FB5,$F230,$28FD
		dc	$5071,$3CB4,$6668,$C9D3
		dc	$CA83,$C7AB,$F765,$09EE

;
p:		dc	$703A,$C16F,$9A92,$E529
		dc	$18E7,$9E50,$D6A5,$8DCC
		dc	$4D52,$2AD4,$5C10,$7181
		dc	$24CF,$DA6A,$4A72,$EED5
		dc	$CA36,$1E1B,$2A20,$C0DC
		dc	$15E8,$EE53,$EBF3,$2E08
		dc	$7259,$35F8,$9957,$3B

;
pexp:		dc	$1C
		dc	$0EB0,$5BE6,$A4B9,$4A46
		dc	$39E7,$9435,$A963,$7313
		dc	$548A,$B517,$041C,$6049
		dc	$33F6,$9A92,$9CBB,$B572
		dc	$8D87,$86CA,$8830,$3705
		dc	$7A3B,$94FA,$FCCB,$821C
		dc	$964D,$7E26,$55CF

;
q:		dc	$1656,$1579,$9A53,$604F
		dc	$8755,$9FB2,$7872,$E5BC
		dc	$7DF8,$6FCA,$832A,$1FA7
		dc	$63A3,$552B,$D8B8,$45E2
		dc	$A11F,$412B,$041B,$9B5B
		dc	$E128,$C5E0,$6E7D,$C80B
		dc	$221E,$E7D4,$474C,$E5C8
		dc	$9222,$ADEF,$7018,$F13D
		dc	$1B

;
qexp:		dc	$05,$9585,$5E66,$94D8
		dc	$13E1,$D567,$EC9E,$1CB9
		dc	$6F1F,$7E1B,$F2A0,$CA87
		dc	$E9D8,$E8D5,$4AF6,$2E11
		dc	$78A8,$47D0,$4AC1,$06E6
		dc	$D6F8,$4A31,$781B,$9F72
		dc	$02C8,$87B9,$F511,$D339
		dc	$7224,$88AB,$7BDC,$063C
		dc	$4F47

; 120 bytes
; A_ROM
; $FED5 in bootROM
; Z  (see below)
n:		dc	$09CA,$C9C6,$B412,$081B
		dc	$6058,$814B,$8601,$D8BF
		dc	$D925,$A07B,$DC32,$7984
		dc	$3B7C,$BC2F,$E2E2,$FA8D
		dc	$0A00,$3BC5,$ECAF,$2D8A
		dc	$CD06,$936A,$A514,$4677
		dc	$C46A,$B253,$36EF,$8CCE
		dc	$0CA2,$6871,$D373,$E8F7
		dc	$6D06,$B520,$EF23,$470C
		dc	$5155,$C8FE,$F458,$C43F
		dc	$20A7,$6738,$B076,$E2C4
		dc	$D805,$63F8,$3C58,$3B2D
		dc	$22CC,$88B3,$718F,$1D80
		dc	$0A87,$BDA1,$5923,$E970
		dc	$E2D3,$EC46,$6880,$4239

; 120 bytes
ap:		dc	$0481,$BE5B,$4C70,$0FBC
		dc	$42A2,$CD8C,$E700,$2656
		dc	$AE76,$6529,$3A00,$D1E6
		dc	$A29E,$5877,$6204,$F354
		dc	$2A30,$C37D,$DF69,$9DED
		dc	$C523,$B69D,$7F18,$CEF6
		dc	$390F,$1428,$F4DF,$F498
		dc	$F520,$C764,$A77E,$770D
		dc	$878D,$88EB,$CED6,$5963
		dc	$D770,$F64A,$E6FD,$836D
		dc	$BC6C,$EEF6,$4F88,$27BD
		dc	$EEBD,$615D,$A5B2,$5D78
		dc	$B0A4,$715E,$05C7,$BD6E
		dc	$AC4E,$5B2C,$8916,$2B7F
		dc	$2FB0,$7B14,$647D,$44E7

; 120 bytes
aq:		dc	$0549,$0B6B,$67A1,$F85F
		dc	$1DB5,$B3BE,$9F01,$B269
		dc	$2AAF,$3B52,$A231,$A79D
		dc	$98DE,$63B8,$80DE,$0738
		dc	$DFCF,$7848,$0D45,$8F9D
		dc	$07E2,$DCCD,$25FB,$7781
		dc	$8B5B,$9E2A,$420F,$9835
		dc	$1781,$A10D,$2BF5,$71E9
		dc	$E579,$2C35,$204C,$EDA8
		dc	$79E4,$D2B4,$0D5B,$40D1
		dc	$643A,$7842,$60EE,$BB06
		dc	$E948,$029A,$96A5,$DDB4
		dc	$7228,$1755,$6BC7,$6011
		dc	$5E39,$6274,$D00D,$BDF1
		dc	$B323,$7132,$0402,$FD53


Given the 120-byte values Z and Y, is there any code or a
program that I can download to solve for X in the following?
  (X^2) MOD Z = Y

Z =
0x09,0xCA,0xC9,0xC6,0xB4,0x12,0x08,0x1B,
0x60,0x58,0x81,0x4B,0x86,0x01,0xD8,0xBF,
0xD9,0x25,0xA0,0x7B,0xDC,0x32,0x79,0x84,
0x3B,0x7C,0xBC,0x2F,0xE2,0xE2,0xFA,0x8D,
0x0A,0x00,0x3B,0xC5,0xEC,0xAF,0x2D,0x8A,
0xCD,0x06,0x93,0x6A,0xA5,0x14,0x46,0x77,
0xC4,0x6A,0xB2,0x53,0x36,0xEF,0x8C,0xCE,
0x0C,0xA2,0x68,0x71,0xD3,0x73,0xE8,0xF7,
0x6D,0x06,0xB5,0x20,0xEF,0x23,0x47,0x0C,
0x51,0x55,0xC8,0xFE,0xF4,0x58,0xC4,0x3F,
0x20,0xA7,0x67,0x38,0xB0,0x76,0xE2,0xC4,
0xD8,0x05,0x63,0xF8,0x3C,0x58,0x3B,0x2D,
0x22,0xCC,0x88,0xB3,0x71,0x8F,0x1D,0x80,
0x0A,0x87,0xBD,0xA1,0x59,0x23,0xE9,0x70,
0xE2,0xD3,0xEC,0x46,0x68,0x80,0x42,0x39

Y =
0xCF,0x21,0x53,0x4C,0x77,0x3F,0xBC,0xF3,
0x06,0xA4,0xA0,0x27,0xFD,0xF9,0x41,0x2A,
0xA8,0xA0,0x14,0xAC,0x84,0x74,0x52,0xF7,
0xEC,0x9E,0x93,0x6B,0xC6,0xCC,0xF3,0x69,
0xB8,0xDF,0xBB,0xF8,0x7F,0x0A,0xF1,0xBC,
0x15,0x9D,0x98,0x3A,0x77,0xFF,0x9E,0xFB,
0x9A,0x42,0x1F,0x94,0x59,0x8C,0xA0,0xDC,
0x68,0xD4,0xE2,0x82,0x62,0xEB,0x5D,0xEC,
0x41,0x28,0xE8,0x55,0xA6,0xB2,0xFA,0xC0,
0x02,0xA1,0xA2,0x36,0x71,0x3A,0x37,0x65,
0x16,0xCF,0x8F,0x67,0x74,0xE8,0xE8,0xEF,
0xA9,0xEF,0x04,0xDF,0x27,0x46,0x50,0xF8,
0xDD,0xFA,0x52,0x6C,0x6E,0x95,0x7A,0x3C,
0x62,0x1E,0x8C,0x2B,0x05,0x70,0x1A,0x31,
0xD4,0xB4,0xE2,0xAA,0xFB,0x60,0x24,0xE9


Hmmm, 'Y' wasn't part of the data above.

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