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A2osX/SYS/KERNEL.S.MATH32.txt

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NEW
AUTO 3,1
*--------------------------------------
MATH32 jmp (.1,x)
.1 .DA MATH32.ADD
.DA MATH32.SUB
.DA MATH32.UMUL
.DA MATH32.IMUL
.DA MATH32.UDIV
.DA MATH32.IDIV
.DA MATH32.UMOD
.DA MATH32.IMOD
.DA MATH32.UCMP
.DA MATH32.ICMP
*--------------------------------------
MATH32.ADD clc
.HS B0 BCS
MATH32.SUB sec
php
jsr MATH32.PopACC32
ldy #0
ldx #3
plp
bcs .1
lda #$79 ADC Absolute,Y
.HS 2C BIT ABS
.1 lda #$F9 SBC Absolute,Y
sta .3
.2 lda (pStack),y
.3 adc ACC32,y SELF MODIFIED
sta (pStack),y
iny
dex
bpl .2
MATH32.SUB.RTS rts
*--------------------------------------
* Returns:
* ff X < Y
* 0 X = Y
* 1 X > Y
*--------------------------------------
MATH32.UCMP
MATH32.ICMP jsr MATH32.SUB
jsr MATH32.PopACC32 A = ACC32+3 (sign)
tay
bmi .2
.1 ora ACC32+2
ora ACC32+1
ora ACC32
beq .8
lda #1
rts
.2 lda #$ff
.8 rts
*--------------------------------------
MATH32.UMUL clc
.HS B0 BCS
MATH32.IMUL sec
php
jsr MATH32.MULDIVMOD.COMMON
jsr MATH32.MUL
plp
bcc MATH32.PutTMP32
MATH32.RETURN.ITMP
lda ACC32.Sign
eor ARG32.Sign
bpl MATH32.PutTMP32
bra MATH32.PutNotTMP32
*--------------------------------------
MATH32.UDIV clc
.HS B0 BCS
MATH32.IDIV sec
clv
bra MATH32.MOD
MATH32.UMOD clc
.HS B0 BCS
MATH32.IMOD sec
bit MATH32.SUB.RTS $60
MATH32.MOD php
jsr MATH32.MULDIVMOD.COMMON
jsr MATH32.DIVMOD
plp
bcc .3 unsigned
bvs MATH32.RETURN.ITMP IMOD
lda ACC32.Sign IDIV
eor ARG32.Sign
bpl MATH32.PutARG32
bra MATH32.PutNotARG32
.3 bvc MATH32.PutARG32 DIV
*--------------------------------------
MATH32.PutTMP32 lda #TMP32 MOD
.HS 2C BIT ABS
*--------------------------------------
MATH32.PutARG32 lda #ARG32
sta .1+1
ldy #3
.1 lda $ff,y SELF MODIFIED
sta (pStack),y
dey
bpl .1
rts
*--------------------------------------
MATH32.PutNotTMP32
lda #TMP32
.HS 2C BIT ABS
*--------------------------------------
MATH32.PutNotARG32
lda #ARG32
sta .1+1
ldy #0
ldx #3
sec
.1 lda $ff,y SELF MODIFIED
eor #$ff two's complement of X bytes
adc #0
sta (pStack),y
iny
dex
bpl .1
rts
*--------------------------------------
MATH32.PopACC32 ldy #0
.1 lda (pStack)
inc pStack
sta ACC32,y
iny
cpy #4
bne .1
sta ACC32.Sign
rts
*--------------------------------------
MATH32.GetARG32 ldy #0
.1 lda (pStack),y
sta ARG32,y
iny
cpy #4
bne .1
sta ARG32.Sign
MATH32.GetARG32.RTS
rts
*--------------------------------------
MATH32.MULDIVMOD.COMMON
php
jsr MATH32.PopACC32
jsr MATH32.GetARG32
plp
bcc MATH32.GetARG32.RTS
jsr MATH32.ACC32ABS
jmp MATH32.ARG32ABS
*--------------------------------------
* http://6502.org/source/integers/32muldiv.htm
* http://nparker.llx.com/a2/mult.html
*--------------------------------------
* ARG32*ACC32->TMP32
*--------------------------------------
MATH32.MUL jsr MATH32.TMP32ZERO
ldx #32
.1 lsr ARG32+3
ror ARG32+2
ror ARG32+1
ror ARG32
bcc .3
clc
ldy #0
.2 lda TMP32,y
adc ACC32,y
sta TMP32,y
iny
tya
eor #4
bne .2
.3 jsr MATH32.ACC32.T2
dex
bne .1
clc
rts
*--------------------------------------
* ARG32 = ARG32 div ACC32
* TMP32 = ARG32 mod ACC32
*--------------------------------------
MATH32.DIVMOD jsr MATH32.TMP32ZERO
ldx #32
.1 asl ARG32
rol ARG32+1
rol ARG32+2
rol ARG32+3
rol TMP32
rol TMP32+1
rol TMP32+2
rol TMP32+3
sec
lda TMP32
sbc ACC32
pha
lda TMP32+1
sbc ACC32+1
pha
lda TMP32+2
sbc ACC32+2
pha
lda TMP32+3
sbc ACC32+3
bcs .2
pla
pla
pla
dex
bne .1
rts
.2 sta TMP32+3
pla
sta TMP32+2
pla
sta TMP32+1
pla
sta TMP32
inc ARG32 bit0 always 0 because of .1 asl
dex
bne .1
rts
*--------------------------------------
*uint32_t lcg_parkmiller(uint32_t *state)
*{
* // Precomputed parameters for Schrage's method
* const uint32_t M = 0x7fffffff;
* const uint32_t A = 48271;
* const uint32_t Q = M / A; // 44488
* const uint32_t R = M % A; // 3399
*
* uint32_t div = *state / Q; // max: M / Q = A = 48,271
* uint32_t rem = *state % Q; // max: Q - 1 = 44,487
*
* int32_t s = rem * A; // max: 44,487 * 48,271 = 2,147,431,977 = 0x7fff3629
* int32_t t = div * R; // max: 48,271 * 3,399 = 164,073,129
* int32_t result = s - t;
*
* if (result < 0)
* result += M;
*
* return *state = result;
*}
*--------------------------------------
* MATH32.RND TODO
*--------------------------------------
MATH32.A2STR10NP ldx #3 3 digit max
ldy #0 Disable Padding
MATH32.A2STR10 jsr MATH32.A2ACC32
clc unsigned
*--------------------------------------
* CS = signed long
* CC = unsigned long
* X = Pad Len
* Y = Pad Char
*--------------------------------------
MATH32.ACC322STR10
stx .5+1 Pad Len
sty .81+1 Pad Char
stz A2osX.NumStrLen
bcc .1
clc
lda ACC32+3
bpl .1
jsr MATH32.ACC32NEG
sec
.1 ror ACC32.Sign Save sign
ldx #4
.2 stz RESULT,x Clear all 5 bytes
dex
bpl .2
sed switch to BCD mode
ldx #32 let's roll 32 bits
.3 jsr MATH32.ACC32.T2
ldy #4
.4 lda RESULT,y
adc RESULT,y
sta RESULT,y
dey
bpl .4
dex
bne .3
cld
ldx .5+1 no padding
beq .6
lda #10 starts at 10-padlen
sec
.5 sbc #$ff SELF MODIFIED
tax
.6 txa
lsr
tay
lda RESULT,y
bcs .7
lsr
lsr
lsr
lsr
.7 and #$0F
ora #$30
cmp #'0'
beq .80
ldy #'0' next 0s always printed
sty .81+1
bra .82
.80 cpx #9 last char, print always
beq .82
.81 lda #$ff SELF MODIFIED Get Padding char
beq .87
.82 bit ACC32.Sign "-" to print ?
bpl .86
pha
lda #'-'
jsr .88
stz ACC32.Sign
pla
.86 jsr .88
.87 inx
cpx #10
bne .6
lda #0
.88 ldy A2osX.NumStrLen
inc A2osX.NumStrLen
sta A2osX.NumStrBuf,y
rts
*--------------------------------------
* Convert Hex int at ZPPtr2 to ACC32
*--------------------------------------
MATH32.Hex2ACC32
lda (ZPPtr2)
beq .9
jsr SHARED.IsHexDigit
bcs .9
jsr MATH32.A2ACC32
ldy #0
.1 iny
lda (ZPPtr2),y
beq .8
jsr SHARED.IsHexDigit
bcs .8
pha
ldx #4
.2 jsr MATH32.ACC32.T2
dex
bne .2
pla
ora ACC32
sta ACC32
bra .1
.8 clc
rts
.9 sec
rts
*--------------------------------------
* Convert A to 2 hex digits in AX
*--------------------------------------
MATH32.AToHexAX pha
and #$0F
jsr .8
tax
pla
lsr
lsr
lsr
lsr
.8 ora #$30
cmp #'9'+1
bcc .9
adc #6
.9 rts
*--------------------------------------
* Convert Decimal int at ZPPtr2 to ACC32
*--------------------------------------
MATH32.Dec2ACC32
jsr MATH32.ACC32ZERO
clc
lda (ZPPtr2)
eor #'-'
bne .10
jsr SHARED.NextCharPtr2 skip '-'
sec
.10 ror .80+1 set pos/neg flag
ldy #$ff
.1 iny
lda (ZPPtr2),y
beq .8
jsr ZP.IsDigit
bcs .8
phy Save Y, pointing to next char
jsr MATH32.ACC32.T10
ply
bcs .9
lda (ZPPtr2),y
and #$0F
* clc
adc ACC32
sta ACC32
bcc .1
inc ACC32+1
bne .1
inc ACC32+2
bne .1
inc ACC32+3
bne .1 if 0, overflow!!!
.9 lda #E.INUM
sec
rts
.8 tya no digit parsed...error
beq .9
.80 lda #$FF SELF MODIFIED
bpl .88
phy
jsr MATH32.ACC32NEG
ply
.88 clc
rts
*--------------------------------------
MATH32.ACC32.T10
ldx #3
.1 lda ACC32,x save ACC32 for 4+1
pha
dex
bpl .1
jsr MATH32.ACC32.T2 ACC32 * 2 -> ACC32
jsr MATH32.ACC32.T2 ACC32 * 4 -> ACC32
ldx #0
ldy #4
* clc
.2 pla ACC32 * 4 + ACC32 -> ACC32
adc ACC32,x
sta ACC32,x
inx
dey
bne .2
MATH32.ACC32.T2 asl ACC32
rol ACC32+1
rol ACC32+2
rol ACC32+3
rts
*--------------------------------------
MATH32.A2ACC32 sta ACC32
.HS 2C BIT ABS
MATH32.ACC32ZERO
stz ACC32
stz ACC32+1
stz ACC32+2
stz ACC32+3
rts
*--------------------------------------
MATH32.TMP32ZERO
stz TMP32
stz TMP32+1
stz TMP32+2
stz TMP32+3
rts
*--------------------------------------
MATH32.ARG32ABS lda ARG32.Sign
bmi MATH32.ARG32NEG
rts
*--------------------------------------
MATH32.ACC32ABS lda ACC32.Sign
bpl MATH32.ACC32NEG.RTS
*--------------------------------------
MATH32.ACC32NEG ldy #ACC32
.HS 2C BIT ABS
MATH32.ARG32NEG ldy #ARG32
ldx #3
sec
.1 lda $0,y two's complement of X bytes
eor #$ff
adc #0
sta $0,y
iny
dex
bpl .1
MATH32.ACC32NEG.RTS
rts
*--------------------------------------
MAN
SAVE usr/src/sys/kernel.s.math32
LOAD usr/src/sys/kernel.s
ASM
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