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A2osX/SYS/KERNEL.S.MATH.txt
Rémy GIBERT e7c10fcc24 Kernel 0.94
2020-02-21 14:24:16 +01:00

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NEW
AUTO 3,1
*--------------------------------------
MATH32 jmp (.1,x)
.1 .DA MATH32.ADD32
.DA MATH32.SUB32
.DA MATH32.UMUL32
.DA MATH32.IMUL32
.DA MATH32.UDIV32
.DA MATH32.IDIV32
.DA MATH32.UMOD32
.DA MATH32.IMOD32
.DA MATH32.UCMP32
.DA MATH32.ICMP32
*--------------------------------------
MATH32.ADD32 clc
.HS B0 BCS
MATH32.SUB32 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.SUB32.RTS
rts
*--------------------------------------
* Returns:
* ff X < Y
* 0 X = Y
* 1 X > Y
*--------------------------------------
MATH32.UCMP32
MATH32.ICMP32 jsr MATH32.SUB32
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.UMUL32 clc
.HS B0 BCS
MATH32.IMUL32 sec
php
jsr MATH32.MULDIVMOD.COMMON
jsr MATH.MUL32
plp
bcc MATH32.PutTMP32
MATH32.RETURN.ITMP
lda ACC32.Sign
eor ARG32.Sign
bpl MATH32.PutTMP32
bra MATH32.PutNotTMP32
*--------------------------------------
MATH32.UDIV32 clc
.HS B0 BCS
MATH32.IDIV32 sec
clv
bra MATH32.DIVMOD
MATH32.UMOD32 clc
.HS B0 BCS
MATH32.IMOD32 sec
bit MATH32.SUB32.RTS $60
MATH32.DIVMOD php
jsr MATH32.MULDIVMOD.COMMON
jsr MATH.DIVMOD32
plp
bcc .3 unsigned
bvs MATH32.RETURN.ITMP IMOD
lda ACC32.Sign IDIV
eor ARG32.Sign
bpl MATH32.PutARG32
bra MATH32.PutNotARG32
.3 bvs 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 MATH.ACC32ABS
jmp MATH.ARG32ABS
*--------------------------------------
* http://6502.org/source/integers/32muldiv.htm
* http://nparker.llx.com/a2/mult.html
*--------------------------------------
* ARG32*ACC32->TMP32
*--------------------------------------
MATH.MUL32 jsr MATH.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 MATH.ACC32.T2
dex
bne .1
clc
rts
*--------------------------------------
* ARG32 = ARG32 div ACC32
* TMP32 = ARG32 mod ACC32
*--------------------------------------
MATH.DIVMOD32 jsr MATH.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
*--------------------------------------
MATH.A2STR10NP ldx #3 3 digit max
ldy #0 Disable Padding
MATH.A2STR10 jsr MATH.A2ACC32
clc unsigned
*--------------------------------------
* CS = signed long
* CC = unsigned long
* X = Pad Len
* Y = Pad Char
*--------------------------------------
MATH.ACC322STR10
stx .5+1 Pad Len
sty .81+1 Pad Char
stz A2osX.NumStrLen
bcc .1
clc
lda ACC32+3
bpl .1
jsr MATH.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 MATH.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
*--------------------------------------
MATH.Hex2ACC32 lda (ZPPtr2)
beq .9
jsr SHARED.IsHexDigit
bcs .9
jsr MATH.A2ACC32
ldy #0
.1 iny
lda (ZPPtr2),y
beq .8
jsr SHARED.IsHexDigit
bcs .8
pha
ldx #4
.2 jsr MATH.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
*--------------------------------------
MATH.AToHexAX pha
and #$0F
jsr .8
tax
pla
lsr
lsr
lsr
lsr
.8 ora #$30
cmp #'9'+1
bcc .9
adc #6
.9 rts
*--------------------------------------
* Convert Decimal int at ZPPtr2 to ACC32
*--------------------------------------
MATH.Dec2ACC32 jsr MATH.ACC32ZERO
clc
lda (ZPPtr2)
eor #'-'
bne .10
jsr SHARED.NextCharPtr2 skip '-'
sec
.10 ror .80+1 set pos/neg flag
ldy #$ff
.1 iny
lda (ZPPtr2),y
beq .8
jsr ZP.IsDigit
bcs .8
phy Save Y, pointing to next char
jsr MATH.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 MATH.ACC32NEG
ply
.88 clc
rts
*--------------------------------------
MATH.ACC32.T10 ldx #3
.1 lda ACC32,x save ACC32 for 4+1
pha
dex
bpl .1
jsr MATH.ACC32.T2 ACC32 * 2 -> ACC32
jsr MATH.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
MATH.ACC32.T2 asl ACC32
rol ACC32+1
rol ACC32+2
rol ACC32+3
rts
*--------------------------------------
MATH.A2ACC32 sta ACC32
.HS 2C BIT ABS
MATH.ACC32ZERO stz ACC32
stz ACC32+1
stz ACC32+2
stz ACC32+3
rts
*--------------------------------------
MATH.TMP32ZERO stz TMP32
stz TMP32+1
stz TMP32+2
stz TMP32+3
rts
*--------------------------------------
MATH.ARG32ABS lda ARG32.Sign
bmi MATH.ARG32NEG
rts
*--------------------------------------
MATH.ACC32ABS lda ACC32.Sign
bpl MATH.ACC32NEG.RTS
*--------------------------------------
MATH.ACC32NEG ldy #ACC32
.HS 2C BIT ABS
MATH.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
MATH.ACC32NEG.RTS
rts
*--------------------------------------
MAN
SAVE USR/SRC/SYS/KERNEL.S.MATH
LOAD USR/SRC/SYS/KERNEL.S
ASM
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