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robfinch |
; ============================================================================
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; FAC1ToString.asm
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; __
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; \\__/ o\ (C) 2014 Robert Finch, Stratford
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; \ __ / All rights reserved.
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; \/_// robfinch@finitron.ca
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; ||
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;
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;
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; This source file is free software: you can redistribute it and/or modify
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; it under the terms of the GNU Lesser General Public License as published
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; by the Free Software Foundation, either version 3 of the License, or
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; (at your option) any later version.
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;
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; This source file is distributed in the hope that it will be useful,
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; but WITHOUT ANY WARRANTY; without even the implied warranty of
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; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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; GNU General Public License for more details.
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;
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; You should have received a copy of the GNU General Public License
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; along with this program. If not, see .
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;
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; ============================================================================
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;
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; This code is a heavily modified version of the floating point to string
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; conversion routine which is a part of Lee Davison's EhBASIC.
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;
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Cvaral = $95 ; current var address low byte
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Cvarah = Cvaral+1 ; current var address high byte
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numexp = $A8 ; string to float number exponent count
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expcnt = $AA ; string to float exponent count
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Sendl = $BA ; BASIC pointer temp low byte
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Sendh = $BB ; BASIC pointer temp low byte
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Decss = $3A0 ; number to decimal string start
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Decssp1 = Decss+1 ; number to decimal string start
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FP_ADD EQU 1
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FP_SUB EQU 2
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FP_MUL EQU 3
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FP_DIV EQU 4
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FP_FIX2FLT EQU 5
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FP_FLT2FIX EQU 6
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FP_ABS EQU 7
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FP_NEG EQU 16
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FP_SWAP EQU 17
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FIXED_MUL EQU $83
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FIXED_ADD EQU $81
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FIXED_SUB EQU $82
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;parameter FIXED_DIV = 8'h84;
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;parameter FIXED_ABS = 8'h87;
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;parameter FIXED_NEG = 8'h90;
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FP_CMDREG EQU $FEA20E
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FP_STATREG EQU $FEA20E
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FAC1 EQU $FEA200
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FAC1_5 EQU $FEA200
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FAC1_4 EQU $FEA202
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FAC1_3 EQU $FEA204
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FAC1_2 EQU $FEA206
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FAC1_1 EQU $FEA208
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FAC1_msw EQU $FEA208
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FAC1_e EQU $FEA20A
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FAC2 EQU $FEA210
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CPU W65C816S
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NDX 16
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MEM 16
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public FAC1ToString:
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; The first chunk of code determines if the number is positive or negative
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; and spits out the appropriate sign. Next it takes the absolute value of
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; the accumulator so following code only has to deal with positive numbers.
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LDY #$00 ; set index = 1
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LDA FAC1_msw ; test FAC1 sign (b15) (Can't use BIT)
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BPL .0002 ; branch if +ve
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LDA #'-' ; else character = "-"
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STA Decss,Y ; save leading character (" " or "-")
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LDA #FP_NEG ; make the FAC positive
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JSR FPCommandWait
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BRA .0001
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.0002:
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LDA #$20 ; character = " " (assume +ve)
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STA Decss,Y
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.0001:
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STY Sendl ; save index
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; This little bit of code check for a zero exponent which indicates a
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; value of zero.
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LDA FAC1_e ; get FAC1 exponent
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TAX
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BNE LAB_2989 ; branch if FAC1<>0
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; exponent was $00 so FAC1 is 0
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LDA #'0' ; set character = "0"
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BRL LAB_2A89 ; save last character, [EOT] and exit
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; This loop attempts to make small values more significant, so that there are
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; fewer leading zeros in the value. (The exponent is decremented so that it
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; corresponds). Because of the potential for extremely small values looping is
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; limited. The problem is the 16 bit exponent can allow for much smaller
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; values than an 8 bit exponent would and we don't want to loop for thousands
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; of iterations in order to display a value that's almost zero.
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; FAC1 is some non zero value
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LAB_2989
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STY Sendl ; save off .Y
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LDY #1639 ; max number of retries
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LDA #$00 ; clear (number exponent count)
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STA numexp
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LOOP_MBMILLION:
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CPX #$8000 ; compare FAC1 exponent with $8000 (>1.00000)
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BCS LAB_299A ; branch if FAC1=>1
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; FAC1<1
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PEA A_MILLION ; multiply FAC * 1,000,000
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JSR LOAD_FAC2 ;
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PLA ; get rid of parameter
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JSR FMUL
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LDA numexp
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SEC
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SBC #6 ; set number exponent count (-6)
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STA numexp
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LDA FAC1_e
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TAX
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DEY
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BPL LOOP_MBMILLION
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LAB_299A
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LDY Sendl ; get back .Y
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; These two loops coerce the value of the FAC to be between 100,000 and
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; 1,000,000. This gives a maximum of six digits before the decimal point
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; in scientific notation.
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; This loop divides by 10 until the value in the FAC is less than 1,000,000
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;
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LOOP_DB10:
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PEA MAX_BEFORE_SCI ; set pointer low byte to 999999.4375 (max before sci note)
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JSR LOAD_FAC2 ; compare FAC1 with (AY)
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PLA ; get rid of parameter
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LDA FP_CMDREG
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BIT #$08 ; test equals bit
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BNE LAB_29C3 ; exit if FAC1 = (AY)
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BIT #$04 ; test greater than bit
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BEQ LOOP_MB10 ; go do *10 if FAC1 < (AY)
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LAB_29B9
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JSR DivideByTen ; divide by 10
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INC numexp ; increment number exponent count
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BRA LOOP_DB10 ; go test again (branch always)
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; This loop multiplies the value by 10 until it's greater than
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; 100,000.
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; FAC1 < (AY)
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LOOP_MB10
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PEA CONST_9375 ; set pointer to 99999.9375
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JSR LOAD_FAC2 ; compare FAC1 with (AY)
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PLA ; get rid of parameter
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LDA FP_CMDREG
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BIT #$08
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BNE LAB_29B2 ; branch if FAC1 = (AY) (allow decimal places)
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BIT #$04
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BNE LAB_29C0 ; branch if FAC1 > (AY) (no decimal places)
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; FAC1 <= (AY)
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LAB_29B2
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JSR MultiplyByTen ; multiply by 10
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DEC numexp ; decrement number exponent count
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BRA LOOP_MB10 ; go test again (branch always)
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; now we have just the digits to do
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LAB_29C0
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; JSR AddPoint5 ; add 0.5 to FAC1 (round FAC1)
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LAB_29C3
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; JSR FloatToFixed ; convert FAC1 floating-to-fixed
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LDX #$01 ; set default digits before dp = 1
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LDA numexp ; get number exponent count
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CLC ; clear carry for add
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ADC #$07 ; up to 6 digits before point
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BMI LAB_29D8 ; if -ve then 1 digit before dp
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CMP #$08 ; A>=8 if n>=1E6
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BCS LAB_29D9 ; branch if >= $08
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; carry is clear
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TAX ; copy to A
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DEX ; take 1 from digit count
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LDA #$02 ;.set exponent adjust
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LAB_29D8
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SEC ; set carry for subtract
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LAB_29D9
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SBC #$02 ; -2
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STA expcnt ;.save exponent adjust
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STX numexp ; save digits before dp count
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TXA ; copy to A
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BEQ LAB_29E4 ; branch if no digits before dp
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BPL LAB_29F7 ; branch if digits before dp
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LAB_29E4
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LDY Sendl ; get output string index
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LDA #'.' ; character "."
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INY ; increment index
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STA Decss,Y ; save to output string
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TXA ;.
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BEQ LAB_29F5 ;.
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LDA #'0' ; character "0"
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INY ; increment index
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STA Decss,Y ; save to output string
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LAB_29F5
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STY Sendl ; save output string index
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LAB_29F7
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LDX #'0' ; holds onto the digit value
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; Now loop subtracting 100,000 as many times as we can. The value was coerced
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; to be between 100,000 and 1,000,000. Count the number of times subtraction
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; can be done successfully.
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;
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LAB_29FB
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PEA CONST_100000
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JSR LOAD_FAC2 ; load FAC2 with 100,000
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PLA ; get rid of parameter
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LDA FP_STATREG
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BIT #$04 ; Is FAC1 > 100,000 ?
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BEQ .0005 ; branch if not
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LDA #FP_SWAP ; subtract is FAC2-FAC1!
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JSR FPCommandWait;
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LDA #FP_SUB ; subtract 100,000 from the mantissa.
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JSR FPCommandWait
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INX ; increment the value of the digit
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BRA LAB_29FB ; try again
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.0005:
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TXA
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LDY Sendl ; get output string index
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INY ; increment output string index
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TXA
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STA Decss,Y ; save to output string
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DEC numexp ; decrement # of characters before the dp
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BNE LAB_2A3B ; branch if still characters to do
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; else output the point
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LDA #'.' ; character "."
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INY ; increment output string index
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STA Decss,Y ; save to output string
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LAB_2A3B
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STY Sendl ; save output string index
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; We subtracted until the value was < 100,000 so multiply the
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; remainder upwards to get the next digit.
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JSR MultiplyByTen ; If not, multiply by 10
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CPY #27 ; converted (+/- . incl)
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BCC LAB_29F7
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; now remove trailing zeroes
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.RemoveTrailingZeros
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LDA Decss,Y ; get character from output string
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AND #$FF ; mask to a byte
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DEY ; decrement output string index
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CMP #'0' ; compare with "0"
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BEQ .RemoveTrailingZeros ; loop until non "0" character found
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CMP #'.' ; compare with "."
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BEQ LAB_2A58 ; branch if was dp
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; restore last character
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INY ; increment output string index
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LAB_2A58
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LDA #'+' ; character "+"
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LDX expcnt ; get exponent count
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LBEQ LAB_2A8C ; if zero go set null terminator and exit
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; exponent isn't zero so write exponent
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BPL LAB_2A68 ; branch if exponent count +ve
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LDA #$00 ; clear A
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SEC ; set carry for subtract
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SBC expcnt ; subtract exponent count adjust (convert -ve to +ve)
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TAX ; copy exponent count to X
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LDA #'-' ; character "-"
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; We must keep moving forwards through the string because the acc is storing
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; two bytes.
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LAB_2A68
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PHA
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LDA #'E' ; character "E"
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STA Decss+1,Y ; save exponent sign to output string
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PLA
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STA Decss+2,Y ; save to output string
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TXA ; get exponent count back
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; do highest exponent digit
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STZ Sendl
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LDX #'0'-1 ; one less than "0" character
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SEC ; set carry for subtract
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.0001:
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INX ; count how many times we can subtract 10,000
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SBC #10000
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BCS .0001
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ADC #10000
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CPX #'0'
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BEQ .0005
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INC Sendl
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PHA
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TXA
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STA Decss+3,Y
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PLA
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INY
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; do the next exponent digit
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.0005:
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LDX #'0'-1
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SEC
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.0002:
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INX
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SBC #1000
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BCS .0002
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ADC #1000
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LSR Sendl
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BCS .00010
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CPX #'0'
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BEQ .0006
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.00010:
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INC Sendl
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PHA
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TXA
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STA Decss+3,Y
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PLA
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INY
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; and the next
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.0006:
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LDX #'0'-1
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SEC
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.0003:
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INX
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SBC #100
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BCS .0003
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ADC #100
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LSR Sendl
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BCS .00011
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CPX #'0'
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BEQ .0007
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.00011:
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INC Sendl
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PHA
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TXA
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STA Decss+3,Y
|
| 348 |
|
|
PLA
|
| 349 |
|
|
INY
|
| 350 |
|
|
|
| 351 |
|
|
.0007:
|
| 352 |
|
|
LDX #'0'-1
|
| 353 |
|
|
SEC
|
| 354 |
|
|
.0004:
|
| 355 |
|
|
INX
|
| 356 |
|
|
SBC #10
|
| 357 |
|
|
BCS .0004
|
| 358 |
|
|
ADC #10
|
| 359 |
|
|
LSR Sendl
|
| 360 |
|
|
BCS .00012
|
| 361 |
|
|
CPX #'0'
|
| 362 |
|
|
BEQ .0008
|
| 363 |
|
|
.00012:
|
| 364 |
|
|
INC Sendl
|
| 365 |
|
|
PHA
|
| 366 |
|
|
TXA
|
| 367 |
|
|
STA Decss+3,Y
|
| 368 |
|
|
PLA
|
| 369 |
|
|
INY
|
| 370 |
|
|
|
| 371 |
|
|
.0008:
|
| 372 |
|
|
ADC #'0'
|
| 373 |
|
|
STA Decss+3,Y
|
| 374 |
|
|
LDA #$00 ; set null terminator
|
| 375 |
|
|
STA Decss+4,Y ; save to output string
|
| 376 |
|
|
RTS ; go set string pointer (AY) and exit (branch always)
|
| 377 |
|
|
|
| 378 |
|
|
LAB_2A89
|
| 379 |
|
|
STA Decss,Y ; save last character to output string
|
| 380 |
|
|
; set null terminator and exit
|
| 381 |
|
|
LAB_2A8C
|
| 382 |
|
|
LDA #$00 ; set null terminator
|
| 383 |
|
|
STA Decss+1,Y ; save after last character
|
| 384 |
|
|
|
| 385 |
|
|
LAB_2A91
|
| 386 |
|
|
; LDA #
|
| 387 |
|
|
; LDY #>Decssp1 ; set result string high pointer
|
| 388 |
|
|
RTS
|
| 389 |
|
|
|
| 390 |
|
|
LAB_25FB:
|
| 391 |
|
|
LDA #FP_SWAP
|
| 392 |
|
|
JSR FPCommandWait
|
| 393 |
|
|
LDY #0
|
| 394 |
|
|
TYX
|
| 395 |
|
|
.0002:
|
| 396 |
|
|
LDA (3,S),Y
|
| 397 |
|
|
STA FAC1,X
|
| 398 |
|
|
INY
|
| 399 |
|
|
INY
|
| 400 |
|
|
INX
|
| 401 |
|
|
INX
|
| 402 |
|
|
CPX #12
|
| 403 |
|
|
BNE .0002
|
| 404 |
|
|
LDA #FP_FIX2FLT
|
| 405 |
|
|
JSR FPCommandWait
|
| 406 |
|
|
FMUL:
|
| 407 |
|
|
LDA #FP_MUL
|
| 408 |
|
|
JMP FPCommandWait
|
| 409 |
|
|
|
| 410 |
|
|
LOAD_FAC2:
|
| 411 |
|
|
PHX
|
| 412 |
|
|
PHY
|
| 413 |
|
|
LDY #0
|
| 414 |
|
|
TYX
|
| 415 |
|
|
.0002:
|
| 416 |
|
|
LDA (7,s),Y
|
| 417 |
|
|
STA FAC2,X
|
| 418 |
|
|
INY
|
| 419 |
|
|
INY
|
| 420 |
|
|
INX
|
| 421 |
|
|
INX
|
| 422 |
|
|
CPX #12
|
| 423 |
|
|
BNE .0002
|
| 424 |
|
|
PLY
|
| 425 |
|
|
PLX
|
| 426 |
|
|
RTS
|
| 427 |
|
|
|
| 428 |
|
|
FloatToFixed:
|
| 429 |
|
|
LDA #FP_FLT2FIX
|
| 430 |
|
|
JMP FPCommandWait
|
| 431 |
|
|
|
| 432 |
|
|
AddPoint5:
|
| 433 |
|
|
PEA CONST_POINT5
|
| 434 |
|
|
JSR LOAD_FAC2
|
| 435 |
|
|
PLA
|
| 436 |
|
|
LDA #FP_ADD
|
| 437 |
|
|
JMP FPCommandWait
|
| 438 |
|
|
|
| 439 |
|
|
MultiplyByTen:
|
| 440 |
|
|
PEA TEN_AS_FLOAT
|
| 441 |
|
|
JSR LOAD_FAC2
|
| 442 |
|
|
PLA
|
| 443 |
|
|
LDA #FP_MUL
|
| 444 |
|
|
JMP FPCommandWait
|
| 445 |
|
|
|
| 446 |
|
|
public DivideByTen:
|
| 447 |
|
|
PEA TEN_AS_FLOAT
|
| 448 |
|
|
JSR LOAD_FAC2
|
| 449 |
|
|
PLA
|
| 450 |
|
|
JSR SwapFACs
|
| 451 |
|
|
LDA #FP_DIV
|
| 452 |
|
|
JMP FPCommandWait
|
| 453 |
|
|
|
| 454 |
|
|
SwapFACs:
|
| 455 |
|
|
LDA #FP_SWAP
|
| 456 |
|
|
|
| 457 |
|
|
; Issue a command to the FP unit and wait for it to complete
|
| 458 |
|
|
;
|
| 459 |
|
|
public FPCommandWait:
|
| 460 |
|
|
PHA
|
| 461 |
|
|
.0001:
|
| 462 |
|
|
LDA FP_STATREG ; get the status register
|
| 463 |
|
|
BIT #$80 ; check for busy bit
|
| 464 |
|
|
BNE .0001 ; if busy go back
|
| 465 |
|
|
PLA ; to pop acc
|
| 466 |
|
|
STA FP_CMDREG ; store the command
|
| 467 |
|
|
RTS
|
| 468 |
|
|
|
| 469 |
|
|
; Display the FAC1 as a hex number
|
| 470 |
|
|
;
|
| 471 |
|
|
public DispFAC1:
|
| 472 |
|
|
LDA FAC1_e
|
| 473 |
|
|
JSR DispWord
|
| 474 |
|
|
LDA FAC1_1
|
| 475 |
|
|
JSR DispWord
|
| 476 |
|
|
LDA FAC1_2
|
| 477 |
|
|
JSR DispWord
|
| 478 |
|
|
LDA FAC1_3
|
| 479 |
|
|
JSR DispWord
|
| 480 |
|
|
LDA FAC1_4
|
| 481 |
|
|
JSR DispWord
|
| 482 |
|
|
LDA FAC1_5
|
| 483 |
|
|
JSR DispWord
|
| 484 |
|
|
LDA #' '
|
| 485 |
|
|
JSR OutChar
|
| 486 |
|
|
RTS
|
| 487 |
|
|
;
|
| 488 |
|
|
; 1,000,000 as a floating point number
|
| 489 |
|
|
;
|
| 490 |
|
|
A_MILLION: ; $F4240
|
| 491 |
|
|
dw $0000
|
| 492 |
|
|
dw $0000
|
| 493 |
|
|
dw $0000
|
| 494 |
|
|
dW $0000
|
| 495 |
|
|
dw $7A12
|
| 496 |
|
|
dw $8013
|
| 497 |
|
|
|
| 498 |
|
|
CONST_100000:
|
| 499 |
|
|
;186A0
|
| 500 |
|
|
dw $0000
|
| 501 |
|
|
dw $0000
|
| 502 |
|
|
dw $0000
|
| 503 |
|
|
dw $0000
|
| 504 |
|
|
dw $61A8
|
| 505 |
|
|
dw $8010
|
| 506 |
|
|
; The constant 999999.4375 as hex
|
| 507 |
|
|
; 01.11_1010_0001_0001_1111_1011_1000_00000000000000000000000000
|
| 508 |
|
|
MAX_BEFORE_SCI:
|
| 509 |
|
|
dw $0000
|
| 510 |
|
|
dw $0000
|
| 511 |
|
|
dw $0000
|
| 512 |
|
|
dw $FB80
|
| 513 |
|
|
dw $7A11
|
| 514 |
|
|
dw $8013
|
| 515 |
|
|
|
| 516 |
|
|
TEN_AS_FLOAT:
|
| 517 |
|
|
dw $0000
|
| 518 |
|
|
dw $0000
|
| 519 |
|
|
dw $0000
|
| 520 |
|
|
dw $0000
|
| 521 |
|
|
dw $5000
|
| 522 |
|
|
dw $8003
|
| 523 |
|
|
|
| 524 |
|
|
; 99999.9375
|
| 525 |
|
|
; 01.10_0001_1010_0111_1111_1100_000000000000000000000000000000
|
| 526 |
|
|
;
|
| 527 |
|
|
CONST_9375:
|
| 528 |
|
|
dw $0000
|
| 529 |
|
|
dw $0000
|
| 530 |
|
|
dw $0000
|
| 531 |
|
|
dw $FC00
|
| 532 |
|
|
dw $61A7
|
| 533 |
|
|
dw $8010
|
| 534 |
|
|
|
| 535 |
|
|
; 0.5
|
| 536 |
|
|
CONST_POINT5:
|
| 537 |
|
|
dw $0000
|
| 538 |
|
|
dw $0000
|
| 539 |
|
|
dw $0000
|
| 540 |
|
|
dw $0000
|
| 541 |
|
|
dw $4000
|
| 542 |
|
|
dw $7FFF
|
| 543 |
|
|
|
| 544 |
|
|
; This table is used in converting numbers to ASCII.
|
| 545 |
|
|
|
| 546 |
|
|
LAB_2A9A
|
| 547 |
|
|
LAB_2A9B = LAB_2A9A+1
|
| 548 |
|
|
LAB_2A9C = LAB_2A9B+1
|
| 549 |
|
|
; .word $FFFF,$F21F,$494C,$589C,$0000
|
| 550 |
|
|
; .word $0000,$0163,$4578,$5D8A,$0000
|
| 551 |
|
|
; .word $FFFF,$FFDC,$790D,$903F,$0000
|
| 552 |
|
|
; .word $0000,$0003,$8D7E,$A4C6,$8000
|
| 553 |
|
|
; .word $FFFF,$FFFF,$A50C,$EF85,$C000
|
| 554 |
|
|
; .word $0000,$0000,$0918,$4E72,$A000
|
| 555 |
|
|
; .word $FFFF,$FFFF,$FF17,$2B5A,$F000
|
| 556 |
|
|
; .word $0000,$0000,$0017,$4876,$E800
|
| 557 |
|
|
; .word $FFFF,$FFFF,$FFFD,$ABF4,$1C00
|
| 558 |
|
|
; .word $0000,$0000,$0000,$3B9A,$CA00
|
| 559 |
|
|
; .word $FFFF,$FFFF,$FFFF,$FF67,$6980
|
| 560 |
|
|
; .word $0000,$0000,$0000,$05F5,$E100 ; 100000000
|
| 561 |
|
|
; .word $0000,$0000,$0098,$9680 ; 10000000
|
| 562 |
|
|
; .word $4240,$000F,$0000,$0000,$0000,$804E ; 1000000
|
| 563 |
|
|
.word $86A0,$0001,$0000,$0000,$0000,$804E ; 100000
|
| 564 |
|
|
.word $2710,$0000,$0000,$0000,$0000,$804E ; 10000
|
| 565 |
|
|
.word $03E8,$0000,$0000,$0000,$0000,$804E ; 1000
|
| 566 |
|
|
.word $0064,$0000,$0000,$0000,$0000,$804E ; 100
|
| 567 |
|
|
FIXED10:
|
| 568 |
|
|
.word $000A,$0000,$0000,$0000,$0000,$804E ; 10
|
| 569 |
|
|
.word $0001,$0000,$0000,$0000,$0000,$804E ; 1
|
| 570 |
|
|
|
| 571 |
|
|
MEM 16
|
| 572 |
|
|
NDX 16
|
