Apple-2-SW/msbasic
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ad2897332e
msbasic/float.s
Michael Steil 01672d36d8 cleanup
2008-10-19 23:49:16 +00:00

1885 lines
44 KiB
ArmAsm
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.segment "CODE"
TEMP1X = TEMP1+(5-BYTES_FP)
; ----------------------------------------------------------------------------
; ADD 0.5 TO FAC
; ----------------------------------------------------------------------------
FADDH:
lda #<CON_HALF
ldy #>CON_HALF
jmp FADD
; ----------------------------------------------------------------------------
; FAC = (Y,A) - FAC
; ----------------------------------------------------------------------------
FSUB:
jsr LOAD_ARG_FROM_YA
; ----------------------------------------------------------------------------
; FAC = ARG - FAC
; ----------------------------------------------------------------------------
FSUBT:
lda FACSIGN
eor #$FF
sta FACSIGN
eor ARGSIGN
sta SGNCPR
lda FAC
jmp FADDT
; ----------------------------------------------------------------------------
; Commodore BASIC V2 Easter Egg
; ----------------------------------------------------------------------------
.ifdef CONFIG_EASTER_EGG
EASTER_EGG:
lda LINNUM
cmp #<6502
bne L3628
lda LINNUM+1
sbc #>6502
bne L3628
sta LINNUM
tay
lda #$80
sta LINNUM+1
LD758:
ldx #$0A
LD75A:
lda MICROSOFT-1,x
and #$3F
sta (LINNUM),y
iny
bne LD766
inc LINNUM+1
LD766:
dex
bne LD75A
dec FORPNT
bne LD758
rts
.endif
; ----------------------------------------------------------------------------
; SHIFT SMALLER ARGUMENT MORE THAN 7 BITS
; ----------------------------------------------------------------------------
FADD1:
jsr SHIFT_RIGHT
bcc FADD3
; ----------------------------------------------------------------------------
; FAC = (Y,A) + FAC
; ----------------------------------------------------------------------------
FADD:
jsr LOAD_ARG_FROM_YA
; ----------------------------------------------------------------------------
; FAC = ARG + FAC
; ----------------------------------------------------------------------------
FADDT:
bne L365B
jmp COPY_ARG_TO_FAC
L365B:
ldx FACEXTENSION
stx ARGEXTENSION
ldx #ARG
lda ARG
FADD2:
tay
.ifdef KBD
beq RTS4
.else
beq RTS3
.endif
sec
sbc FAC
beq FADD3
bcc L367F
sty FAC
ldy ARGSIGN
sty FACSIGN
eor #$FF
adc #$00
ldy #$00
sty ARGEXTENSION
ldx #FAC
bne L3683
L367F:
ldy #$00
sty FACEXTENSION
L3683:
cmp #$F9
bmi FADD1
tay
lda FACEXTENSION
lsr 1,x
jsr SHIFT_RIGHT4
FADD3:
bit SGNCPR
bpl FADD4
ldy #FAC
cpx #ARG
beq L369B
ldy #ARG
L369B:
sec
eor #$FF
adc ARGEXTENSION
sta FACEXTENSION
.ifndef CONFIG_SMALL
lda 4,y
sbc 4,x
sta FAC+4
.endif
lda 3,y
sbc 3,x
sta FAC+3
lda 2,y
sbc 2,x
sta FAC+2
lda 1,y
sbc 1,x
sta FAC+1
; ----------------------------------------------------------------------------
; NORMALIZE VALUE IN FAC
; ----------------------------------------------------------------------------
NORMALIZE_FAC1:
bcs NORMALIZE_FAC2
jsr COMPLEMENT_FAC
NORMALIZE_FAC2:
ldy #$00
tya
clc
L36C7:
ldx FAC+1
bne NORMALIZE_FAC4
ldx FAC+2
stx FAC+1
ldx FAC+3
stx FAC+2
.ifdef CONFIG_SMALL
ldx FACEXTENSION
stx FAC+3
.else
ldx FAC+4
stx FAC+3
ldx FACEXTENSION
stx FAC+4
.endif
sty FACEXTENSION
adc #$08
.ifdef CONFIG_2B
; bugfix?
; fix does not exist on AppleSoft 2
cmp #(MANTISSA_BYTES+1)*8
.else
cmp #MANTISSA_BYTES*8
.endif
bne L36C7
; ----------------------------------------------------------------------------
; SET FAC = 0
; (ONLY NECESSARY TO ZERO EXPONENT AND SIGN CELLS)
; ----------------------------------------------------------------------------
ZERO_FAC:
lda #$00
STA_IN_FAC_SIGN_AND_EXP:
sta FAC
STA_IN_FAC_SIGN:
sta FACSIGN
rts
; ----------------------------------------------------------------------------
; ADD MANTISSAS OF FAC AND ARG INTO FAC
; ----------------------------------------------------------------------------
FADD4:
adc ARGEXTENSION
sta FACEXTENSION
.ifndef CONFIG_SMALL
lda FAC+4
adc ARG+4
sta FAC+4
.endif
lda FAC+3
adc ARG+3
sta FAC+3
lda FAC+2
adc ARG+2
sta FAC+2
lda FAC+1
adc ARG+1
sta FAC+1
jmp NORMALIZE_FAC5
; ----------------------------------------------------------------------------
; FINISH NORMALIZING FAC
; ----------------------------------------------------------------------------
NORMALIZE_FAC3:
adc #$01
asl FACEXTENSION
.ifndef CONFIG_SMALL
rol FAC+4
.endif
rol FAC+3
rol FAC+2
rol FAC+1
NORMALIZE_FAC4:
bpl NORMALIZE_FAC3
sec
sbc FAC
bcs ZERO_FAC
eor #$FF
adc #$01
sta FAC
NORMALIZE_FAC5:
bcc L3764
NORMALIZE_FAC6:
inc FAC
beq OVERFLOW
.ifndef CONFIG_ROR_WORKAROUND
ror FAC+1
ror FAC+2
ror FAC+3
.ifndef CONFIG_SMALL
ror FAC+4
.endif
ror FACEXTENSION
.else
lda #$00
bcc L372E
lda #$80
L372E:
lsr FAC+1
ora FAC+1
sta FAC+1
lda #$00
bcc L373A
lda #$80
L373A:
lsr FAC+2
ora FAC+2
sta FAC+2
lda #$00
bcc L3746
lda #$80
L3746:
lsr FAC+3
ora FAC+3
sta FAC+3
lda #$00
bcc L3752
lda #$80
L3752:
lsr FAC+4
ora FAC+4
sta FAC+4
lda #$00
bcc L375E
lda #$80
L375E:
lsr FACEXTENSION
ora FACEXTENSION
sta FACEXTENSION
.endif
L3764:
rts
; ----------------------------------------------------------------------------
; 2'S COMPLEMENT OF FAC
; ----------------------------------------------------------------------------
COMPLEMENT_FAC:
lda FACSIGN
eor #$FF
sta FACSIGN
; ----------------------------------------------------------------------------
; 2'S COMPLEMENT OF FAC MANTISSA ONLY
; ----------------------------------------------------------------------------
COMPLEMENT_FAC_MANTISSA:
lda FAC+1
eor #$FF
sta FAC+1
lda FAC+2
eor #$FF
sta FAC+2
lda FAC+3
eor #$FF
sta FAC+3
.ifndef CONFIG_SMALL
lda FAC+4
eor #$FF
sta FAC+4
.endif
lda FACEXTENSION
eor #$FF
sta FACEXTENSION
inc FACEXTENSION
bne RTS12
; ----------------------------------------------------------------------------
; INCREMENT FAC MANTISSA
; ----------------------------------------------------------------------------
INCREMENT_FAC_MANTISSA:
.ifndef CONFIG_SMALL
inc FAC+4
bne RTS12
.endif
inc FAC+3
bne RTS12
inc FAC+2
bne RTS12
inc FAC+1
RTS12:
rts
OVERFLOW:
ldx #ERR_OVERFLOW
jmp ERROR
; ----------------------------------------------------------------------------
; SHIFT 1,X THRU 5,X RIGHT
; (A) = NEGATIVE OF SHIFT COUNT
; (X) = POINTER TO BYTES TO BE SHIFTED
;
; RETURN WITH (Y)=0, CARRY=0, EXTENSION BITS IN A-REG
; ----------------------------------------------------------------------------
SHIFT_RIGHT1:
ldx #RESULT-1
SHIFT_RIGHT2:
.ifdef CONFIG_SMALL
ldy 3,x
.else
ldy 4,x
.endif
sty FACEXTENSION
.ifndef CONFIG_SMALL
ldy 3,x
sty 4,x
.endif
ldy 2,x
sty 3,x
ldy 1,x
sty 2,x
ldy SHIFTSIGNEXT
sty 1,x
; ----------------------------------------------------------------------------
; MAIN ENTRY TO RIGHT SHIFT SUBROUTINE
; ----------------------------------------------------------------------------
SHIFT_RIGHT:
adc #$08
bmi SHIFT_RIGHT2
beq SHIFT_RIGHT2
sbc #$08
tay
lda FACEXTENSION
bcs SHIFT_RIGHT5
.ifndef CONFIG_ROR_WORKAROUND
LB588:
asl 1,x
bcc LB58E
inc 1,x
LB58E:
ror 1,x
ror 1,x
; ----------------------------------------------------------------------------
; ENTER HERE FOR SHORT SHIFTS WITH NO SIGN EXTENSION
; ----------------------------------------------------------------------------
SHIFT_RIGHT4:
ror 2,x
ror 3,x
.ifndef CONFIG_SMALL
ror 4,x
.endif
ror a
iny
bne LB588
.else
L37C4:
pha
lda 1,x
and #$80
lsr 1,x
ora 1,x
sta 1,x
.byte $24
SHIFT_RIGHT4:
pha
lda #$00
bcc L37D7
lda #$80
L37D7:
lsr 2,x
ora 2,x
sta 2,x
lda #$00
bcc L37E3
lda #$80
L37E3:
lsr 3,x
ora 3,x
sta 3,x
lda #$00
bcc L37EF
lda #$80
L37EF:
lsr 4,x
ora 4,x
sta 4,x
pla
php
lsr a
plp
bcc L37FD
ora #$80
L37FD:
iny
bne L37C4
.endif
SHIFT_RIGHT5:
clc
rts
; ----------------------------------------------------------------------------
.ifdef CONFIG_SMALL
CON_ONE:
.byte $81,$00,$00,$00
POLY_LOG:
.byte $02
.byte $80,$19,$56,$62
.byte $80,$76,$22,$F3
.byte $82,$38,$AA,$40
CON_SQR_HALF:
.byte $80,$35,$04,$F3
CON_SQR_TWO:
.byte $81,$35,$04,$F3
CON_NEG_HALF:
.byte $80,$80,$00,$00
CON_LOG_TWO:
.byte $80,$31,$72,$18
.else
CON_ONE:
.byte $81,$00,$00,$00,$00
POLY_LOG:
.byte $03
.byte $7F,$5E,$56,$CB,$79
.byte $80,$13,$9B,$0B,$64
.byte $80,$76,$38,$93,$16
.byte $82,$38,$AA,$3B,$20
CON_SQR_HALF:
.byte $80,$35,$04,$F3,$34
CON_SQR_TWO:
.byte $81,$35,$04,$F3,$34
CON_NEG_HALF:
.byte $80,$80,$00,$00,$00
CON_LOG_TWO:
.byte $80,$31,$72,$17,$F8
.endif
; ----------------------------------------------------------------------------
; "LOG" FUNCTION
; ----------------------------------------------------------------------------
LOG:
jsr SIGN
beq GIQ
bpl LOG2
GIQ:
jmp IQERR
LOG2:
lda FAC
sbc #$7F
pha
lda #$80
sta FAC
lda #<CON_SQR_HALF
ldy #>CON_SQR_HALF
jsr FADD
lda #<CON_SQR_TWO
ldy #>CON_SQR_TWO
jsr FDIV
lda #<CON_ONE
ldy #>CON_ONE
jsr FSUB
lda #<POLY_LOG
ldy #>POLY_LOG
jsr POLYNOMIAL_ODD
lda #<CON_NEG_HALF
ldy #>CON_NEG_HALF
jsr FADD
pla
jsr ADDACC
lda #<CON_LOG_TWO
ldy #>CON_LOG_TWO
; ----------------------------------------------------------------------------
; FAC = (Y,A) * FAC
; ----------------------------------------------------------------------------
FMULT:
jsr LOAD_ARG_FROM_YA
; ----------------------------------------------------------------------------
; FAC = ARG * FAC
; ----------------------------------------------------------------------------
FMULTT:
.ifndef CONFIG_11
beq L3903
.else
jeq L3903
.endif
jsr ADD_EXPONENTS
lda #$00
sta RESULT
sta RESULT+1
sta RESULT+2
.ifndef CONFIG_SMALL
sta RESULT+3
.endif
lda FACEXTENSION
jsr MULTIPLY1
.ifndef CONFIG_SMALL
lda FAC+4
jsr MULTIPLY1
.endif
lda FAC+3
jsr MULTIPLY1
lda FAC+2
jsr MULTIPLY1
lda FAC+1
jsr MULTIPLY2
jmp COPY_RESULT_INTO_FAC
; ----------------------------------------------------------------------------
; MULTIPLY ARG BY (A) INTO RESULT
; ----------------------------------------------------------------------------
MULTIPLY1:
bne MULTIPLY2
jmp SHIFT_RIGHT1
MULTIPLY2:
lsr a
ora #$80
L38A7:
tay
bcc L38C3
clc
.ifndef CONFIG_SMALL
lda RESULT+3
adc ARG+4
sta RESULT+3
.endif
lda RESULT+2
adc ARG+3
sta RESULT+2
lda RESULT+1
adc ARG+2
sta RESULT+1
lda RESULT
adc ARG+1
sta RESULT
L38C3:
.ifndef CONFIG_ROR_WORKAROUND
ror RESULT
ror RESULT+1
.ifdef APPLE_BAD_BYTE
; this seems to be a bad byte in the dump
.byte RESULT+2,RESULT+2 ; XXX BUG!
.else
ror RESULT+2
.endif
.ifndef CONFIG_SMALL
ror RESULT+3
.endif
ror FACEXTENSION
.else
lda #$00
bcc L38C9
lda #$80
L38C9:
lsr RESULT
ora RESULT
sta RESULT
lda #$00
bcc L38D5
lda #$80
L38D5:
lsr RESULT+1
ora RESULT+1
sta RESULT+1
lda #$00
bcc L38E1
lda #$80
L38E1:
lsr RESULT+2
ora RESULT+2
sta RESULT+2
lda #$00
bcc L38ED
lda #$80
L38ED:
lsr RESULT+3
ora RESULT+3
sta RESULT+3
lda #$00
bcc L38F9
lda #$80
L38F9:
lsr FACEXTENSION
ora FACEXTENSION
sta FACEXTENSION
.endif
tya
lsr a
bne L38A7
L3903:
rts
; ----------------------------------------------------------------------------
; UNPACK NUMBER AT (Y,A) INTO ARG
; ----------------------------------------------------------------------------
LOAD_ARG_FROM_YA:
sta INDEX
sty INDEX+1
ldy #BYTES_FP-1
.ifndef CONFIG_SMALL
lda (INDEX),y
sta ARG+4
dey
.endif
lda (INDEX),y
sta ARG+3
dey
lda (INDEX),y
sta ARG+2
dey
lda (INDEX),y
sta ARGSIGN
eor FACSIGN
sta SGNCPR
lda ARGSIGN
ora #$80
sta ARG+1
dey
lda (INDEX),y
sta ARG
lda FAC
rts
; ----------------------------------------------------------------------------
; ADD EXPONENTS OF ARG AND FAC
; (CALLED BY FMULT AND FDIV)
;
; ALSO CHECK FOR OVERFLOW, AND SET RESULT SIGN
; ----------------------------------------------------------------------------
ADD_EXPONENTS:
lda ARG
ADD_EXPONENTS1:
beq ZERO
clc
adc FAC
bcc L393C
bmi JOV
clc
.byte $2C
L393C:
bpl ZERO
adc #$80
sta FAC
bne L3947
jmp STA_IN_FAC_SIGN
L3947:
lda SGNCPR
sta FACSIGN
rts
; ----------------------------------------------------------------------------
; IF (FAC) IS POSITIVE, GIVE "OVERFLOW" ERROR
; IF (FAC) IS NEGATIVE, SET FAC=0, POP ONE RETURN, AND RTS
; CALLED FROM "EXP" FUNCTION
; ----------------------------------------------------------------------------
OUTOFRNG:
lda FACSIGN
eor #$FF
bmi JOV
; ----------------------------------------------------------------------------
; POP RETURN ADDRESS AND SET FAC=0
; ----------------------------------------------------------------------------
ZERO:
pla
pla
jmp ZERO_FAC
JOV:
jmp OVERFLOW
; ----------------------------------------------------------------------------
; MULTIPLY FAC BY 10
; ----------------------------------------------------------------------------
MUL10:
jsr COPY_FAC_TO_ARG_ROUNDED
tax
beq L3970
clc
adc #$02
bcs JOV
LD9BF:
ldx #$00
stx SGNCPR
jsr FADD2
inc FAC
beq JOV
L3970:
rts
; ----------------------------------------------------------------------------
CONTEN:
.ifdef CONFIG_SMALL
.byte $84,$20,$00,$00
.else
.byte $84,$20,$00,$00,$00
.endif
; ----------------------------------------------------------------------------
; DIVIDE FAC BY 10
; ----------------------------------------------------------------------------
DIV10:
jsr COPY_FAC_TO_ARG_ROUNDED
lda #<CONTEN
ldy #>CONTEN
ldx #$00
; ----------------------------------------------------------------------------
; FAC = ARG / (Y,A)
; ----------------------------------------------------------------------------
DIV:
stx SGNCPR
jsr LOAD_FAC_FROM_YA
jmp FDIVT
; ----------------------------------------------------------------------------
; FAC = (Y,A) / FAC
; ----------------------------------------------------------------------------
FDIV:
jsr LOAD_ARG_FROM_YA
; ----------------------------------------------------------------------------
; FAC = ARG / FAC
; ----------------------------------------------------------------------------
FDIVT:
beq L3A02
jsr ROUND_FAC
lda #$00
sec
sbc FAC
sta FAC
jsr ADD_EXPONENTS
inc FAC
beq JOV
ldx #-MANTISSA_BYTES
lda #$01
L39A1:
ldy ARG+1
cpy FAC+1
bne L39B7
ldy ARG+2
cpy FAC+2
bne L39B7
ldy ARG+3
cpy FAC+3
.ifndef CONFIG_SMALL
bne L39B7
ldy ARG+4
cpy FAC+4
.endif
L39B7:
php
rol a
bcc L39C4
inx
sta RESULT_LAST-1,x
beq L39F2
bpl L39F6
lda #$01
L39C4:
plp
bcs L39D5
L39C7:
asl ARG_LAST
.ifndef CONFIG_SMALL
rol ARG+3
.endif
rol ARG+2
rol ARG+1
bcs L39B7
bmi L39A1
bpl L39B7
L39D5:
tay
.ifndef CONFIG_SMALL
lda ARG+4
sbc FAC+4
sta ARG+4
.endif
lda ARG+3
sbc FAC+3
sta ARG+3
lda ARG+2
sbc FAC+2
sta ARG+2
lda ARG+1
sbc FAC+1
sta ARG+1
tya
jmp L39C7
L39F2:
lda #$40
bne L39C4
L39F6:
asl a
asl a
asl a
asl a
asl a
asl a
sta FACEXTENSION
plp
jmp COPY_RESULT_INTO_FAC
L3A02:
ldx #ERR_ZERODIV
jmp ERROR
; ----------------------------------------------------------------------------
; COPY RESULT INTO FAC MANTISSA, AND NORMALIZE
; ----------------------------------------------------------------------------
COPY_RESULT_INTO_FAC:
lda RESULT
sta FAC+1
lda RESULT+1
sta FAC+2
lda RESULT+2
sta FAC+3
.ifndef CONFIG_SMALL
lda RESULT+3
sta FAC+4
.endif
jmp NORMALIZE_FAC2
; ----------------------------------------------------------------------------
; UNPACK (Y,A) INTO FAC
; ----------------------------------------------------------------------------
LOAD_FAC_FROM_YA:
sta INDEX
sty INDEX+1
ldy #MANTISSA_BYTES
.ifndef CONFIG_SMALL
lda (INDEX),y
sta FAC+4
dey
.endif
lda (INDEX),y
sta FAC+3
dey
lda (INDEX),y
sta FAC+2
dey
lda (INDEX),y
sta FACSIGN
ora #$80
sta FAC+1
dey
lda (INDEX),y
sta FAC
sty FACEXTENSION
rts
; ----------------------------------------------------------------------------
; ROUND FAC, STORE IN TEMP2
; ----------------------------------------------------------------------------
STORE_FAC_IN_TEMP2_ROUNDED:
ldx #TEMP2
.byte $2C
; ----------------------------------------------------------------------------
; ROUND FAC, STORE IN TEMP1
; ----------------------------------------------------------------------------
STORE_FAC_IN_TEMP1_ROUNDED:
ldx #TEMP1X
ldy #$00
beq STORE_FAC_AT_YX_ROUNDED
; ----------------------------------------------------------------------------
; ROUND FAC, AND STORE WHERE FORPNT POINTS
; ----------------------------------------------------------------------------
SETFOR:
ldx FORPNT
ldy FORPNT+1
; ----------------------------------------------------------------------------
; ROUND FAC, AND STORE AT (Y,X)
; ----------------------------------------------------------------------------
STORE_FAC_AT_YX_ROUNDED:
jsr ROUND_FAC
stx INDEX
sty INDEX+1
ldy #MANTISSA_BYTES
.ifndef CONFIG_SMALL
lda FAC+4
sta (INDEX),y
dey
.endif
lda FAC+3
sta (INDEX),y
dey
lda FAC+2
sta (INDEX),y
dey
lda FACSIGN
ora #$7F
and FAC+1
sta (INDEX),y
dey
lda FAC
sta (INDEX),y
sty FACEXTENSION
rts
; ----------------------------------------------------------------------------
; COPY ARG INTO FAC
; ----------------------------------------------------------------------------
COPY_ARG_TO_FAC:
lda ARGSIGN
MFA:
sta FACSIGN
ldx #BYTES_FP
L3A7A:
lda SHIFTSIGNEXT,x
sta EXPSGN,x
dex
bne L3A7A
stx FACEXTENSION
rts
; ----------------------------------------------------------------------------
; ROUND FAC AND COPY TO ARG
; ----------------------------------------------------------------------------
COPY_FAC_TO_ARG_ROUNDED:
jsr ROUND_FAC
MAF:
ldx #BYTES_FP+1
L3A89:
lda EXPSGN,x
sta SHIFTSIGNEXT,x
dex
bne L3A89
stx FACEXTENSION
RTS14:
rts
; ----------------------------------------------------------------------------
; ROUND FAC USING EXTENSION BYTE
; ----------------------------------------------------------------------------
ROUND_FAC:
lda FAC
beq RTS14
asl FACEXTENSION
bcc RTS14
; ----------------------------------------------------------------------------
; INCREMENT MANTISSA AND RE-NORMALIZE IF CARRY
; ----------------------------------------------------------------------------
INCREMENT_MANTISSA:
jsr INCREMENT_FAC_MANTISSA
bne RTS14
jmp NORMALIZE_FAC6
; ----------------------------------------------------------------------------
; TEST FAC FOR ZERO AND SIGN
;
; FAC > 0, RETURN +1
; FAC = 0, RETURN 0
; FAC < 0, RETURN -1
; ----------------------------------------------------------------------------
SIGN:
lda FAC
beq RTS15
L3AA7:
lda FACSIGN
SIGN2:
rol a
lda #$FF
bcs RTS15
lda #$01
RTS15:
rts
; ----------------------------------------------------------------------------
; "SGN" FUNCTION
; ----------------------------------------------------------------------------
SGN:
jsr SIGN
; ----------------------------------------------------------------------------
; CONVERT (A) INTO FAC, AS SIGNED VALUE -128 TO +127
; ----------------------------------------------------------------------------
FLOAT:
sta FAC+1
lda #$00
sta FAC+2
ldx #$88
; ----------------------------------------------------------------------------
; FLOAT UNSIGNED VALUE IN FAC+1,2
; (X) = EXPONENT
; ----------------------------------------------------------------------------
FLOAT1:
lda FAC+1
eor #$FF
rol a
; ----------------------------------------------------------------------------
; FLOAT UNSIGNED VALUE IN FAC+1,2
; (X) = EXPONENT
; C=0 TO MAKE VALUE NEGATIVE
; C=1 TO MAKE VALUE POSITIVE
; ----------------------------------------------------------------------------
FLOAT2:
lda #$00
.ifndef CONFIG_SMALL
sta FAC+4
.endif
sta FAC+3
LDB21:
stx FAC
sta FACEXTENSION
sta FACSIGN
jmp NORMALIZE_FAC1
; ----------------------------------------------------------------------------
; "ABS" FUNCTION
; ----------------------------------------------------------------------------
ABS:
lsr FACSIGN
rts
; ----------------------------------------------------------------------------
; COMPARE FAC WITH PACKED # AT (Y,A)
; RETURN A=1,0,-1 AS (Y,A) IS <,=,> FAC
; ----------------------------------------------------------------------------
FCOMP:
sta DEST
; ----------------------------------------------------------------------------
; SPECIAL ENTRY FROM "NEXT" PROCESSOR
; "DEST" ALREADY SET UP
; ----------------------------------------------------------------------------
FCOMP2:
sty DEST+1
ldy #$00
lda (DEST),y
iny
tax
beq SIGN
lda (DEST),y
eor FACSIGN
bmi L3AA7
cpx FAC
bne L3B0A
lda (DEST),y
ora #$80
cmp FAC+1
bne L3B0A
iny
lda (DEST),y
cmp FAC+2
bne L3B0A
iny
.ifndef CONFIG_SMALL
lda (DEST),y
cmp FAC+3
bne L3B0A
iny
.endif
lda #$7F
cmp FACEXTENSION
lda (DEST),y
sbc FAC_LAST
beq L3B32
L3B0A:
lda FACSIGN
bcc L3B10
eor #$FF
L3B10:
jmp SIGN2
; ----------------------------------------------------------------------------
; QUICK INTEGER FUNCTION
;
; CONVERTS FP VALUE IN FAC TO INTEGER VALUE
; IN FAC+1...FAC+4, BY SHIFTING RIGHT WITH SIGN
; EXTENSION UNTIL FRACTIONAL BITS ARE OUT.
;
; THIS SUBROUTINE ASSUMES THE EXPONENT < 32.
; ----------------------------------------------------------------------------
QINT:
lda FAC
beq QINT3
sec
sbc #120+8*BYTES_FP
bit FACSIGN
bpl L3B27
tax
lda #$FF
sta SHIFTSIGNEXT
jsr COMPLEMENT_FAC_MANTISSA
txa
L3B27:
ldx #FAC
cmp #$F9
bpl QINT2
jsr SHIFT_RIGHT
sty SHIFTSIGNEXT
L3B32:
rts
QINT2:
tay
lda FACSIGN
and #$80
lsr FAC+1
ora FAC+1
sta FAC+1
jsr SHIFT_RIGHT4
sty SHIFTSIGNEXT
rts
; ----------------------------------------------------------------------------
; "INT" FUNCTION
;
; USES QINT TO CONVERT (FAC) TO INTEGER FORM,
; AND THEN REFLOATS THE INTEGER.
; ----------------------------------------------------------------------------
INT:
lda FAC
cmp #120+8*BYTES_FP
bcs RTS17
jsr QINT
sty FACEXTENSION
lda FACSIGN
sty FACSIGN
eor #$80
rol a
lda #120+8*BYTES_FP
sta FAC
lda FAC_LAST
sta CHARAC
jmp NORMALIZE_FAC1
QINT3:
sta FAC+1
sta FAC+2
sta FAC+3
.ifndef CONFIG_SMALL
sta FAC+4
.endif
tay
RTS17:
rts
; ----------------------------------------------------------------------------
; CONVERT STRING TO FP VALUE IN FAC
;
; STRING POINTED TO BY TXTPTR
; FIRST CHAR ALREADY SCANNED BY CHRGET
; (A) = FIRST CHAR, C=0 IF DIGIT.
; ----------------------------------------------------------------------------
FIN:
ldy #$00
ldx #SERLEN-TMPEXP
L3B6F:
sty TMPEXP,x
dex
bpl L3B6F
bcc FIN2
cmp #$2D
bne L3B7E
stx SERLEN
beq FIN1
L3B7E:
cmp #$2B
bne FIN3
FIN1:
jsr CHRGET
FIN2:
bcc FIN9
FIN3:
cmp #$2E
beq FIN10
cmp #$45
bne FIN7
jsr CHRGET
bcc FIN5
cmp #TOKEN_MINUS
beq L3BA6
cmp #$2D
beq L3BA6
cmp #TOKEN_PLUS
beq FIN4
cmp #$2B
beq FIN4
bne FIN6
L3BA6:
.ifndef CONFIG_ROR_WORKAROUND
ror EXPSGN
.else
lda #$00
bcc L3BAC
lda #$80
L3BAC:
lsr EXPSGN
ora EXPSGN
sta EXPSGN
.endif
FIN4:
jsr CHRGET
FIN5:
bcc GETEXP
FIN6:
bit EXPSGN
bpl FIN7
lda #$00
sec
sbc EXPON
jmp FIN8
; ----------------------------------------------------------------------------
; FOUND A DECIMAL POINT
; ----------------------------------------------------------------------------
FIN10:
.ifndef CONFIG_ROR_WORKAROUND
ror LOWTR
.else
lda #$00
bcc L3BC9
lda #$80
L3BC9:
lsr LOWTR
ora LOWTR
sta LOWTR
.endif
bit LOWTR
bvc FIN1
; ----------------------------------------------------------------------------
; NUMBER TERMINATED, ADJUST EXPONENT NOW
; ----------------------------------------------------------------------------
FIN7:
lda EXPON
FIN8:
sec
sbc INDX
sta EXPON
beq L3BEE
bpl L3BE7
L3BDE:
jsr DIV10
inc EXPON
bne L3BDE
beq L3BEE
L3BE7:
jsr MUL10
dec EXPON
bne L3BE7
L3BEE:
lda SERLEN
bmi L3BF3
rts
L3BF3:
jmp NEGOP
; ----------------------------------------------------------------------------
; ACCUMULATE A DIGIT INTO FAC
; ----------------------------------------------------------------------------
FIN9:
pha
bit LOWTR
bpl L3BFD
inc INDX
L3BFD:
jsr MUL10
pla
sec
sbc #$30
jsr ADDACC
jmp FIN1
; ----------------------------------------------------------------------------
; ADD (A) TO FAC
; ----------------------------------------------------------------------------
ADDACC:
pha
jsr COPY_FAC_TO_ARG_ROUNDED
pla
jsr FLOAT
lda ARGSIGN
eor FACSIGN
sta SGNCPR
ldx FAC
jmp FADDT
; ----------------------------------------------------------------------------
; ACCUMULATE DIGIT OF EXPONENT
; ----------------------------------------------------------------------------
GETEXP:
lda EXPON
cmp #MAX_EXPON
bcc L3C2C
.ifdef CONFIG_10A
lda #$64
.endif
bit EXPSGN
.ifdef CONFIG_10A
bmi L3C3A
.else
bmi LDC70
.endif
jmp OVERFLOW
LDC70:
.ifndef CONFIG_10A
lda #$0B
.endif
L3C2C:
asl a
asl a
clc
adc EXPON
asl a
clc
ldy #$00
adc (TXTPTR),y
sec
sbc #$30
L3C3A:
sta EXPON
jmp FIN4
; ----------------------------------------------------------------------------
.ifdef CONFIG_SMALL
; these values are /1000 of what the labels say
CON_99999999_9:
.byte $91,$43,$4F,$F8
CON_999999999:
.byte $94,$74,$23,$F7
CON_BILLION:
.byte $94,$74,$24,$00
.else
CON_99999999_9:
.byte $9B,$3E,$BC,$1F,$FD
CON_999999999:
.ifndef CONFIG_10A
.byte $9E,$6E,$6B,$27,$FE
.else
.byte $9E,$6E,$6B,$27,$FD
.endif
CON_BILLION:
.byte $9E,$6E,$6B,$28,$00
.endif
; ----------------------------------------------------------------------------
; PRINT "IN <LINE #>"
; ----------------------------------------------------------------------------
INPRT:
.ifdef KBD
jsr LFE0B
.byte " in"
.byte 0
.else
lda #<QT_IN
ldy #>QT_IN
jsr GOSTROUT2
.endif
lda CURLIN+1
ldx CURLIN
; ----------------------------------------------------------------------------
; PRINT A,X AS DECIMAL INTEGER
; ----------------------------------------------------------------------------
LINPRT:
sta FAC+1
stx FAC+2
ldx #$90
sec
jsr FLOAT2
jsr FOUT
GOSTROUT2:
jmp STROUT
; ----------------------------------------------------------------------------
; CONVERT (FAC) TO STRING STARTING AT STACK
; RETURN WITH (Y,A) POINTING AT STRING
; ----------------------------------------------------------------------------
FOUT:
ldy #$01
; ----------------------------------------------------------------------------
; "STR$" FUNCTION ENTERS HERE, WITH (Y)=0
; SO THAT RESULT STRING STARTS AT STACK-1
; (THIS IS USED AS A FLAG)
; ----------------------------------------------------------------------------
FOUT1:
lda #$20
bit FACSIGN
bpl L3C73
lda #$2D
L3C73:
sta $FF,y
sta FACSIGN
sty STRNG2
iny
lda #$30
ldx FAC
bne L3C84
jmp FOUT4
L3C84:
lda #$00
cpx #$80
beq L3C8C
bcs L3C95
L3C8C:
lda #<CON_BILLION
ldy #>CON_BILLION
jsr FMULT
.ifdef CONFIG_SMALL
lda #-6 ; exponent adjustment
.else
lda #-9
.endif
L3C95:
sta INDX
; ----------------------------------------------------------------------------
; ADJUST UNTIL 1E8 <= (FAC) <1E9
; ----------------------------------------------------------------------------
L3C97:
lda #<CON_999999999
ldy #>CON_999999999
jsr FCOMP
beq L3CBE
bpl L3CB4
L3CA2:
lda #<CON_99999999_9
ldy #>CON_99999999_9
jsr FCOMP
beq L3CAD
bpl L3CBB
L3CAD:
jsr MUL10
dec INDX
bne L3CA2
L3CB4:
jsr DIV10
inc INDX
bne L3C97
L3CBB:
jsr FADDH
L3CBE:
jsr QINT
; ----------------------------------------------------------------------------
; FAC+1...FAC+4 IS NOW IN INTEGER FORM
; WITH POWER OF TEN ADJUSTMENT IN TMPEXP
;
; IF -10 < TMPEXP > 1, PRINT IN DECIMAL FORM
; OTHERWISE, PRINT IN EXPONENTIAL FORM
; ----------------------------------------------------------------------------
ldx #$01
lda INDX
clc
adc #3*BYTES_FP-5
bmi L3CD3
cmp #3*BYTES_FP-4
bcs L3CD4
adc #$FF
tax
lda #$02
L3CD3:
sec
L3CD4:
sbc #$02
sta EXPON
stx INDX
txa
beq L3CDF
bpl L3CF2
L3CDF:
ldy STRNG2
lda #$2E
iny
sta $FF,y
txa
beq L3CF0
lda #$30
iny
sta $FF,y
L3CF0:
sty STRNG2
; ----------------------------------------------------------------------------
; NOW DIVIDE BY POWERS OF TEN TO GET SUCCESSIVE DIGITS
; ----------------------------------------------------------------------------
L3CF2:
ldy #$00
LDD3A:
ldx #$80
L3CF6:
lda FAC_LAST
clc
.ifndef CONFIG_SMALL
adc DECTBL+3,y
sta FAC+4
lda FAC+3
.endif
adc DECTBL+2,y
sta FAC+3
lda FAC+2
adc DECTBL+1,y
sta FAC+2
lda FAC+1
adc DECTBL,y
sta FAC+1
inx
bcs L3D1A
bpl L3CF6
bmi L3D1C
L3D1A:
bmi L3CF6
L3D1C:
txa
bcc L3D23
eor #$FF
adc #$0A
L3D23:
adc #$2F
iny
iny
iny
.ifndef CONFIG_SMALL
iny
.endif
sty VARPNT
ldy STRNG2
iny
tax
and #$7F
sta $FF,y
dec INDX
bne L3D3E
lda #$2E
iny
sta $FF,y
L3D3E:
sty STRNG2
ldy VARPNT
txa
eor #$FF
and #$80
tax
cpy #DECTBL_END-DECTBL
.ifdef CONFIG_CBM_ALL
beq LDD96
cpy #$3C ; XXX
.endif
bne L3CF6
; ----------------------------------------------------------------------------
; NINE DIGITS HAVE BEEN STORED IN STRING. NOW LOOK
; BACK AND LOP OFF TRAILING ZEROES AND A TRAILING
; DECIMAL POINT.
; ----------------------------------------------------------------------------
LDD96:
ldy STRNG2
L3D4E:
lda $FF,y
dey
cmp #$30
beq L3D4E
cmp #$2E
beq L3D5B
iny
L3D5B:
lda #$2B
ldx EXPON
beq L3D8F
bpl L3D6B
lda #$00
sec
sbc EXPON
tax
lda #$2D
L3D6B:
sta STACK+1,y
lda #$45
sta STACK,y
txa
ldx #$2F
sec
L3D77:
inx
sbc #$0A
bcs L3D77
adc #$3A
sta STACK+3,y
txa
sta STACK+2,y
lda #$00
sta STACK+4,y
beq L3D94
FOUT4:
sta $FF,y
L3D8F:
lda #$00
sta STACK,y
L3D94:
lda #$00
ldy #$01
rts
; ----------------------------------------------------------------------------
CON_HALF:
.ifdef CONFIG_SMALL
.byte $80,$00,$00,$00
.else
.byte $80,$00,$00,$00,$00
.endif
; ----------------------------------------------------------------------------
; POWERS OF 10 FROM 1E8 DOWN TO 1,
; AS 32-BIT INTEGERS, WITH ALTERNATING SIGNS
; ----------------------------------------------------------------------------
DECTBL:
.ifdef CONFIG_SMALL
.byte $FE,$79,$60 ; -100000
.byte $00,$27,$10 ; 10000
.byte $FF,$FC,$18 ; -1000
.byte $00,$00,$64 ; 100
.byte $FF,$FF,$F6 ; -10
.byte $00,$00,$01 ; 1
.else
.byte $FA,$0A,$1F,$00 ; -100000000
.byte $00,$98,$96,$80 ; 10000000
.byte $FF,$F0,$BD,$C0 ; -1000000
.byte $00,$01,$86,$A0 ; 100000
.byte $FF,$FF,$D8,$F0 ; -10000
.byte $00,$00,$03,$E8 ; 1000
.byte $FF,$FF,$FF,$9C ; -100
.byte $00,$00,$00,$0A ; 10
.byte $FF,$FF,$FF,$FF ; -1
.endif
DECTBL_END:
.ifdef CONFIG_CBM_ALL
.byte $FF,$DF,$0A,$80 ; TI$
.byte $00,$03,$4B,$C0
.byte $FF,$FF,$73,$60
.byte $00,$00,$0E,$10
.byte $FF,$FF,$FD,$A8
.byte $00,$00,$00,$3C
.endif
.ifdef CONFIG_2
C_ZERO = CON_HALF + 2
.endif
; ----------------------------------------------------------------------------
; "SQR" FUNCTION
; ----------------------------------------------------------------------------
SQR:
jsr COPY_FAC_TO_ARG_ROUNDED
lda #<CON_HALF
ldy #>CON_HALF
jsr LOAD_FAC_FROM_YA
; ----------------------------------------------------------------------------
; EXPONENTIATION OPERATION
;
; ARG ^ FAC = EXP( LOG(ARG) * FAC )
; ----------------------------------------------------------------------------
FPWRT:
beq EXP
lda ARG
bne L3DD5
jmp STA_IN_FAC_SIGN_AND_EXP
L3DD5:
ldx #TEMP3
ldy #$00
jsr STORE_FAC_AT_YX_ROUNDED
lda ARGSIGN
bpl L3DEF
jsr INT
lda #TEMP3
ldy #$00
jsr FCOMP
bne L3DEF
tya
ldy CHARAC
L3DEF:
jsr MFA
tya
pha
jsr LOG
lda #TEMP3
ldy #$00
jsr FMULT
jsr EXP
pla
lsr a
bcc L3E0F
; ----------------------------------------------------------------------------
; NEGATE VALUE IN FAC
; ----------------------------------------------------------------------------
NEGOP:
lda FAC
beq L3E0F
lda FACSIGN
eor #$FF
sta FACSIGN
L3E0F:
rts
; ----------------------------------------------------------------------------
.ifdef CONFIG_SMALL
CON_LOG_E:
.byte $81,$38,$AA,$3B
POLY_EXP:
.byte $06
.byte $74,$63,$90,$8C
.byte $77,$23,$0C,$AB
.byte $7A,$1E,$94,$00
.byte $7C,$63,$42,$80
.byte $7E,$75,$FE,$D0
.byte $80,$31,$72,$15
.byte $81,$00,$00,$00
.else
CON_LOG_E:
.byte $81,$38,$AA,$3B,$29
POLY_EXP:
.byte $07
.byte $71,$34,$58,$3E,$56
.byte $74,$16,$7E,$B3,$1B
.byte $77,$2F,$EE,$E3,$85
.byte $7A,$1D,$84,$1C,$2A
.byte $7C,$63,$59,$58,$0A
.byte $7E,$75,$FD,$E7,$C6
.byte $80,$31,$72,$18,$10
.byte $81,$00,$00,$00,$00
.endif
; ----------------------------------------------------------------------------
; "EXP" FUNCTION
;
; FAC = E ^ FAC
; ----------------------------------------------------------------------------
EXP:
lda #<CON_LOG_E
ldy #>CON_LOG_E
jsr FMULT
lda FACEXTENSION
adc #$50
bcc L3E4E
jsr INCREMENT_MANTISSA
L3E4E:
sta ARGEXTENSION
jsr MAF
lda FAC
cmp #$88
bcc L3E5C
L3E59:
jsr OUTOFRNG
L3E5C:
jsr INT
lda CHARAC
clc
adc #$81
beq L3E59
sec
sbc #$01
pha
ldx #BYTES_FP
L3E6C:
lda ARG,x
ldy FAC,x
sta FAC,x
sty ARG,x
dex
bpl L3E6C
lda ARGEXTENSION
sta FACEXTENSION
jsr FSUBT
jsr NEGOP
lda #<POLY_EXP
ldy #>POLY_EXP
jsr POLYNOMIAL
lda #$00
sta SGNCPR
pla
jsr ADD_EXPONENTS1
rts
; ----------------------------------------------------------------------------
; ODD POLYNOMIAL SUBROUTINE
;
; F(X) = X * P(X^2)
;
; WHERE: X IS VALUE IN FAC
; Y,A POINTS AT COEFFICIENT TABLE
; FIRST BYTE OF COEFF. TABLE IS N
; COEFFICIENTS FOLLOW, HIGHEST POWER FIRST
;
; P(X^2) COMPUTED USING NORMAL POLYNOMIAL SUBROUTINE
; ----------------------------------------------------------------------------
POLYNOMIAL_ODD:
sta STRNG2
sty STRNG2+1
jsr STORE_FAC_IN_TEMP1_ROUNDED
lda #TEMP1X
jsr FMULT
jsr SERMAIN
lda #TEMP1X
ldy #$00
jmp FMULT
; ----------------------------------------------------------------------------
; NORMAL POLYNOMIAL SUBROUTINE
;
; P(X) = C(0)*X^N + C(1)*X^(N-1) + ... + C(N)
;
; WHERE: X IS VALUE IN FAC
; Y,A POINTS AT COEFFICIENT TABLE
; FIRST BYTE OF COEFF. TABLE IS N
; COEFFICIENTS FOLLOW, HIGHEST POWER FIRST
; ----------------------------------------------------------------------------
POLYNOMIAL:
sta STRNG2
sty STRNG2+1
SERMAIN:
jsr STORE_FAC_IN_TEMP2_ROUNDED
lda (STRNG2),y
sta SERLEN
ldy STRNG2
iny
tya
bne L3EBA
inc STRNG2+1
L3EBA:
sta STRNG2
ldy STRNG2+1
L3EBE:
jsr FMULT
lda STRNG2
ldy STRNG2+1
clc
adc #BYTES_FP
bcc L3ECB
iny
L3ECB:
sta STRNG2
sty STRNG2+1
jsr FADD
lda #TEMP2
ldy #$00
dec SERLEN
bne L3EBE
RTS19:
rts
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