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[/] [ft816float/] [trunk/] [software/] [FAC1ToString.asm] - Rev 57

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; ============================================================================
; FAC1ToString.asm
;        __
;   \\__/ o\    (C) 2014  Robert Finch, Stratford
;    \  __ /    All rights reserved.
;     \/_//     robfinch<remove>@finitron.ca
;       ||
;  
;
; This source file is free software: you can redistribute it and/or modify 
; it under the terms of the GNU Lesser General Public License as published 
; by the Free Software Foundation, either version 3 of the License, or     
; (at your option) any later version.                                      
;                                                                          
; This source file is distributed in the hope that it will be useful,      
; but WITHOUT ANY WARRANTY; without even the implied warranty of           
; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the            
; GNU General Public License for more details.                             
;                                                                          
; You should have received a copy of the GNU General Public License        
; along with this program.  If not, see <http://www.gnu.org/licenses/>.    
;                                                                          
; ============================================================================
;
; This code is a heavily modified version of the floating point to string
; conversion routine which is a part of Lee Davison's EhBASIC.
;
Cvaral          = $95           ; current var address low byte
Cvarah          = Cvaral+1      ; current var address high byte
numexp          = $A8           ; string to float number exponent count
expcnt          = $AA           ; string to float exponent count
Sendl                   = $BA   ; BASIC pointer temp low byte
Sendh                   = $BB   ; BASIC pointer temp low byte

Decss           = $3A0          ; number to decimal string start
Decssp1         = Decss+1       ; number to decimal string start
FP_ADD          EQU             1
FP_SUB          EQU             2
FP_MUL          EQU             3
FP_DIV          EQU             4
FP_FIX2FLT      EQU             5
FP_FLT2FIX      EQU             6
FP_ABS          EQU             7
FP_NEG          EQU             16
FP_SWAP         EQU             17
FIXED_MUL       EQU             $83
FIXED_ADD       EQU             $81
FIXED_SUB       EQU             $82
;parameter FIXED_DIV = 8'h84;
;parameter FIXED_ABS = 8'h87;
;parameter FIXED_NEG = 8'h90;
FP_CMDREG       EQU             $FEA20E
FP_STATREG      EQU             $FEA20E
FAC1            EQU             $FEA200
FAC1_5          EQU             $FEA200
FAC1_4          EQU             $FEA202
FAC1_3          EQU             $FEA204
FAC1_2          EQU             $FEA206
FAC1_1          EQU             $FEA208
FAC1_msw        EQU             $FEA208
FAC1_e          EQU             $FEA20A
FAC2            EQU             $FEA210

        CPU             W65C816S
        NDX             16
        MEM             16
        

public FAC1ToString:

; The first chunk of code determines if the number is positive or negative
; and spits out the appropriate sign. Next it takes the absolute value of
; the accumulator so following code only has to deal with positive numbers.

        LDY     #$00                    ; set index = 1
        LDA     FAC1_msw                ; test FAC1 sign (b15) (Can't use BIT)
        BPL     .0002           ; branch if +ve
        LDA     #'-'                    ; else character = "-"
        STA     Decss,Y         ; save leading character (" " or "-")
        LDA     #FP_NEG         ; make the FAC positive
        JSR     FPCommandWait
        BRA     .0001
.0002:
        LDA     #$20                    ; character = " " (assume +ve)
        STA     Decss,Y
.0001:
        STY     Sendl                   ; save index

; This little bit of code check for a zero exponent which indicates a
; value of zero.

        LDA     FAC1_e          ; get FAC1 exponent
        TAX
        BNE     LAB_2989                ; branch if FAC1<>0
                                        ; exponent was $00 so FAC1 is 0
        LDA     #'0'                    ; set character = "0"
        BRL     LAB_2A89                ; save last character, [EOT] and exit

; This loop attempts to make small values more significant, so that there are
; fewer leading zeros in the value. (The exponent is decremented so that it
; corresponds). Because of the potential for extremely small values looping is
; limited. The problem is the 16 bit exponent can allow for much smaller
; values than an 8 bit exponent would and we don't want to loop for thousands
; of iterations in order to display a value that's almost zero.

                                        ; FAC1 is some non zero value
LAB_2989
        STY     Sendl                   ; save off .Y
        LDY #1639                       ; max number of retries
        LDA     #$00                    ; clear (number exponent count)
        STA numexp
LOOP_MBMILLION:
        CPX     #$8000                  ; compare FAC1 exponent with $8000 (>1.00000)
        BCS     LAB_299A                ; branch if FAC1=>1
                                        ; FAC1<1
        PEA     A_MILLION               ; multiply FAC * 1,000,000
        JSR     LOAD_FAC2               ; 
        PLA                                     ; get rid of parameter
        JSR     FMUL
        LDA numexp
        SEC
        SBC     #6                              ; set number exponent count (-6)
        STA numexp
        LDA FAC1_e
        TAX
        DEY
        BPL     LOOP_MBMILLION

LAB_299A
        LDY     Sendl           ; get back .Y

; These two loops coerce the value of the FAC to be between 100,000 and
; 1,000,000. This gives a maximum of six digits before the decimal point
; in scientific notation.

; This loop divides by 10 until the value in the FAC is less than 1,000,000
;
LOOP_DB10:
        PEA     MAX_BEFORE_SCI  ; set pointer low byte to 999999.4375 (max before sci note)
        JSR     LOAD_FAC2               ; compare FAC1 with (AY)
        PLA                                     ; get rid of parameter
        LDA FP_CMDREG
        BIT     #$08                    ; test equals bit
        BNE     LAB_29C3                ; exit if FAC1 = (AY)
        BIT     #$04                    ; test greater than bit
        BEQ     LOOP_MB10               ; go do *10 if FAC1 < (AY)

LAB_29B9
        JSR     DivideByTen             ; divide by 10
        INC     numexp                  ; increment number exponent count
        BRA     LOOP_DB10               ; go test again (branch always)

; This loop multiplies the value by 10 until it's greater than
; 100,000.
                                        ; FAC1 < (AY)
LOOP_MB10
        PEA CONST_9375          ; set pointer to 99999.9375
        JSR     LOAD_FAC2               ; compare FAC1 with (AY)
        PLA                                     ; get rid of parameter
        LDA FP_CMDREG
        BIT #$08
        BNE     LAB_29B2                ; branch if FAC1 = (AY) (allow decimal places)
        BIT #$04
        BNE     LAB_29C0                ; branch if FAC1 > (AY) (no decimal places)
                                        ; FAC1 <= (AY)
LAB_29B2
        JSR     MultiplyByTen   ; multiply by 10
        DEC     numexp          ; decrement number exponent count
        BRA     LOOP_MB10               ; go test again (branch always)

; now we have just the digits to do

LAB_29C0
;       JSR     AddPoint5               ; add 0.5 to FAC1 (round FAC1)
LAB_29C3
;       JSR     FloatToFixed    ; convert FAC1 floating-to-fixed
        LDX     #$01                    ; set default digits before dp = 1
        LDA     numexp          ; get number exponent count
        CLC                             ; clear carry for add
        ADC     #$07                    ; up to 6 digits before point
        BMI     LAB_29D8                ; if -ve then 1 digit before dp

        CMP     #$08                    ; A>=8 if n>=1E6
        BCS     LAB_29D9                ; branch if >= $08

                                        ; carry is clear
        TAX                             ; copy to A
        DEX                             ; take 1 from digit count
        LDA     #$02                    ;.set exponent adjust

LAB_29D8
        SEC                             ; set carry for subtract
LAB_29D9
        SBC     #$02                    ; -2
        STA     expcnt          ;.save exponent adjust
        STX     numexp          ; save digits before dp count
        TXA                             ; copy to A
        BEQ     LAB_29E4                ; branch if no digits before dp

        BPL     LAB_29F7                ; branch if digits before dp

LAB_29E4
        LDY     Sendl                   ; get output string index
        LDA     #'.'                    ; character "."
        INY                             ; increment index
        STA     Decss,Y         ; save to output string
        TXA                             ;.
        BEQ     LAB_29F5                ;.

        LDA     #'0'                    ; character "0"
        INY                             ; increment index
        STA     Decss,Y         ; save to output string
LAB_29F5
        STY     Sendl                   ; save output string index

LAB_29F7
        LDX     #'0'                    ; holds onto the digit value

; Now loop subtracting 100,000 as many times as we can. The value was coerced
; to be between 100,000 and 1,000,000. Count the number of times subtraction
; can be done successfully.
;
LAB_29FB
        PEA CONST_100000
        JSR LOAD_FAC2   ; load FAC2 with 100,000
        PLA                             ; get rid of parameter
        LDA FP_STATREG
        BIT #$04                ; Is FAC1 > 100,000 ?
        BEQ     .0005           ; branch if not
        LDA #FP_SWAP    ; subtract is FAC2-FAC1!
        JSR FPCommandWait;
        LDA #FP_SUB             ; subtract 100,000 from the mantissa.
        JSR FPCommandWait
        INX                             ; increment the value of the digit
        BRA     LAB_29FB        ; try again
.0005:
        TXA
        LDY     Sendl                   ; get output string index
        INY                             ; increment output string index
        TXA
        STA     Decss,Y         ; save to output string
        DEC     numexp          ; decrement # of characters before the dp
        BNE     LAB_2A3B                ; branch if still characters to do
                                ; else output the point
        LDA     #'.'                    ; character "."
        INY                             ; increment output string index
        STA     Decss,Y         ; save to output string
LAB_2A3B
        STY     Sendl           ; save output string index
        ; We subtracted until the value was < 100,000 so multiply the
        ; remainder upwards to get the next digit.
        JSR     MultiplyByTen   ; If not, multiply by 10
        CPY #27                 ; converted (+/- . incl)
        BCC     LAB_29F7
                                        ; now remove trailing zeroes
.RemoveTrailingZeros
        LDA     Decss,Y         ; get character from output string
        AND     #$FF            ; mask to a byte
        DEY                             ; decrement output string index
        CMP     #'0'                    ; compare with "0"
        BEQ     .RemoveTrailingZeros    ; loop until non "0" character found

        CMP     #'.'                    ; compare with "."
        BEQ     LAB_2A58                ; branch if was dp

                                        ; restore last character
        INY                             ; increment output string index
LAB_2A58
        LDA     #'+'                    ; character "+"
        LDX     expcnt          ; get exponent count
        LBEQ    LAB_2A8C                ; if zero go set null terminator and exit

                                        ; exponent isn't zero so write exponent
        BPL     LAB_2A68                ; branch if exponent count +ve

        LDA     #$00                    ; clear A
        SEC                             ; set carry for subtract
        SBC     expcnt          ; subtract exponent count adjust (convert -ve to +ve)
        TAX                             ; copy exponent count to X
        LDA     #'-'                    ; character "-"

; We must keep moving forwards through the string because the acc is storing
; two bytes.

LAB_2A68
        PHA
        LDA     #'E'                    ; character "E"
        STA     Decss+1,Y               ; save exponent sign to output string
        PLA
        STA     Decss+2,Y               ; save to output string
        TXA                             ; get exponent count back

; do highest exponent digit
        STZ Sendl
        LDX     #'0'-1          ; one less than "0" character
        SEC                             ; set carry for subtract
.0001:                          
        INX                             ; count how many times we can subtract 10,000
        SBC     #10000
        BCS .0001
        ADC #10000
        CPX #'0'
        BEQ .0005
        INC Sendl
        PHA
        TXA
        STA Decss+3,Y
        PLA
        INY
; do the next exponent digit
.0005:
        LDX #'0'-1
        SEC
.0002:
        INX
        SBC #1000
        BCS .0002
        ADC #1000
        LSR Sendl
        BCS .00010
        CPX #'0'
        BEQ .0006
.00010:
        INC Sendl
        PHA
        TXA
        STA Decss+3,Y
        PLA
        INY
; and the next
.0006:
        LDX     #'0'-1
        SEC
.0003:
        INX
        SBC #100
        BCS .0003
        ADC #100
        LSR Sendl
        BCS .00011
        CPX #'0'
        BEQ .0007
.00011:
        INC Sendl
        PHA
        TXA
        STA Decss+3,Y
        PLA
        INY

.0007:
        LDX #'0'-1
        SEC
.0004:
        INX
        SBC #10
        BCS .0004
        ADC #10
        LSR Sendl
        BCS .00012
        CPX #'0'
        BEQ .0008
.00012:
        INC Sendl
        PHA
        TXA
        STA Decss+3,Y
        PLA
        INY

.0008:
        ADC #'0'
        STA Decss+3,Y
        LDA     #$00                    ; set null terminator
        STA     Decss+4,Y               ; save to output string
        RTS                                     ; go set string pointer (AY) and exit (branch always)

LAB_2A89
        STA     Decss,Y         ; save last character to output string
                                        ; set null terminator and exit
LAB_2A8C
        LDA     #$00                    ; set null terminator
        STA     Decss+1,Y               ; save after last character

LAB_2A91
;       LDA     #<Decssp1               ; set result string low pointer
;       LDY     #>Decssp1               ; set result string high pointer
        RTS

LAB_25FB:
        LDA             #FP_SWAP
        JSR             FPCommandWait
        LDY             #0
        TYX
.0002:
        LDA             (3,S),Y
        STA             FAC1,X
        INY
        INY
        INX
        INX
        CPX             #12
        BNE             .0002
        LDA             #FP_FIX2FLT
        JSR             FPCommandWait
FMUL:
        LDA             #FP_MUL
        JMP             FPCommandWait
        
LOAD_FAC2:
        PHX
        PHY
        LDY             #0
        TYX
.0002:
        LDA             (7,s),Y
        STA             FAC2,X
        INY
        INY
        INX
        INX
        CPX             #12
        BNE             .0002
        PLY
        PLX
        RTS
        
FloatToFixed:
        LDA             #FP_FLT2FIX
        JMP             FPCommandWait
        
AddPoint5:
        PEA             CONST_POINT5
        JSR             LOAD_FAC2
        PLA
        LDA             #FP_ADD
        JMP             FPCommandWait
        
MultiplyByTen:
        PEA             TEN_AS_FLOAT
        JSR             LOAD_FAC2
        PLA
        LDA             #FP_MUL
        JMP             FPCommandWait
        
public DivideByTen:
        PEA             TEN_AS_FLOAT
        JSR             LOAD_FAC2
        PLA
        JSR             SwapFACs
        LDA             #FP_DIV
        JMP             FPCommandWait
        
SwapFACs:
        LDA             #FP_SWAP

; Issue a command to the FP unit and wait for it to complete
;
public FPCommandWait:
        PHA
.0001:
        LDA             FP_STATREG      ; get the status register
        BIT             #$80            ; check for busy bit
        BNE             .0001           ; if busy go back
        PLA                                     ; to pop acc
        STA             FP_CMDREG       ; store the command
        RTS

; Display the FAC1 as a hex number
;
public DispFAC1:
        LDA FAC1_e
        JSR DispWord
        LDA     FAC1_1
        JSR     DispWord
        LDA FAC1_2
        JSR     DispWord
        LDA FAC1_3
        JSR DispWord
        LDA FAC1_4
        JSR DispWord
        LDA FAC1_5
        JSR DispWord
        LDA #' '
        JSR OutChar
        RTS
;
; 1,000,000 as a floating point number
;
A_MILLION:      ; $F4240
        dw              $0000
        dw              $0000
        dw              $0000
        dW              $0000
        dw              $7A12
        dw              $8013

CONST_100000:
        ;186A0
        dw              $0000
        dw              $0000
        dw              $0000
        dw              $0000
        dw              $61A8
        dw              $8010
; The constant 999999.4375 as hex
; 01.11_1010_0001_0001_1111_1011_1000_00000000000000000000000000
MAX_BEFORE_SCI:
        dw  $0000
        dw  $0000
        dw      $0000
        dw      $FB80
        dw      $7A11
        dw      $8013

TEN_AS_FLOAT:
        dw      $0000
        dw      $0000
        dw      $0000
        dw      $0000
        dw      $5000
        dw      $8003

; 99999.9375
; 01.10_0001_1010_0111_1111_1100_000000000000000000000000000000
;
CONST_9375:
        dw      $0000
        dw      $0000
        dw      $0000
        dw      $FC00
        dw      $61A7
        dw      $8010

; 0.5
CONST_POINT5:
        dw      $0000
        dw      $0000
        dw      $0000
        dw      $0000
        dw      $4000
        dw      $7FFF

; This table is used in converting numbers to ASCII.

LAB_2A9A
LAB_2A9B = LAB_2A9A+1
LAB_2A9C = LAB_2A9B+1
;       .word   $FFFF,$F21F,$494C,$589C,$0000
;       .word   $0000,$0163,$4578,$5D8A,$0000
;       .word   $FFFF,$FFDC,$790D,$903F,$0000
;       .word   $0000,$0003,$8D7E,$A4C6,$8000
;       .word   $FFFF,$FFFF,$A50C,$EF85,$C000
;       .word   $0000,$0000,$0918,$4E72,$A000
;       .word   $FFFF,$FFFF,$FF17,$2B5A,$F000
;       .word   $0000,$0000,$0017,$4876,$E800
;       .word   $FFFF,$FFFF,$FFFD,$ABF4,$1C00
;       .word   $0000,$0000,$0000,$3B9A,$CA00
;       .word   $FFFF,$FFFF,$FFFF,$FF67,$6980
;       .word   $0000,$0000,$0000,$05F5,$E100           ; 100000000
;       .word   $0000,$0000,$0098,$9680         ; 10000000
;       .word   $4240,$000F,$0000,$0000,$0000,$804E             ; 1000000
        .word   $86A0,$0001,$0000,$0000,$0000,$804E             ; 100000
        .word   $2710,$0000,$0000,$0000,$0000,$804E             ; 10000
        .word   $03E8,$0000,$0000,$0000,$0000,$804E             ; 1000
        .word   $0064,$0000,$0000,$0000,$0000,$804E             ; 100
FIXED10:
        .word   $000A,$0000,$0000,$0000,$0000,$804E             ; 10
        .word   $0001,$0000,$0000,$0000,$0000,$804E             ; 1

                 MEM    16
                 NDX    16

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