prog8/compiler/res/prog8lib/c64/floats.p8

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; Prog8 definitions for floating point handling on the Commodore-64
;
; Written by Irmen de Jong (irmen@razorvine.net) - license: GNU GPL 3.0
;
; indent format: TABS, size=8
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%target c64
%option enable_floats
floats {
; ---- this block contains C-64 floating point related functions ----
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const float PI = 3.141592653589793
const float TWOPI = 6.283185307179586
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; ---- C64 basic and kernal ROM float constants and functions ----
; note: the fac1 and fac2 are working registers and take 6 bytes each,
; floats in memory (and rom) are stored in 5-byte MFLPT packed format.
; constants in five-byte "mflpt" format in the BASIC ROM
&float FL_PIVAL = $aea8 ; 3.1415926...
&float FL_N32768 = $b1a5 ; -32768
&float FL_FONE = $b9bc ; 1
&float FL_SQRHLF = $b9d6 ; SQR(2) / 2
&float FL_SQRTWO = $b9db ; SQR(2)
&float FL_NEGHLF = $b9e0 ; -.5
&float FL_LOG2 = $b9e5 ; LOG(2)
&float FL_TENC = $baf9 ; 10
&float FL_NZMIL = $bdbd ; 1e9 (1 billion)
&float FL_FHALF = $bf11 ; .5
&float FL_LOGEB2 = $bfbf ; 1 / LOG(2)
&float FL_PIHALF = $e2e0 ; PI / 2
&float FL_TWOPI = $e2e5 ; 2 * PI
&float FL_FR4 = $e2ea ; .25
; oddly enough, 0.0 isn't available in the kernel.
; note: fac1/2 might get clobbered even if not mentioned in the function's name.
; note: for subtraction and division, the left operand is in fac2, the right operand in fac1.
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romsub $bba2 = MOVFM(uword mflpt @ AY) clobbers(A,Y) ; load mflpt value from memory in A/Y into fac1
romsub $bba6 = FREADMEM() clobbers(A,Y) ; load mflpt value from memory in $22/$23 into fac1
romsub $ba8c = CONUPK(uword mflpt @ AY) clobbers(A,Y) ; load mflpt value from memory in A/Y into fac2
romsub $ba90 = FAREADMEM() clobbers(A,Y) ; load mflpt value from memory in $22/$23 into fac2
romsub $bbfc = MOVFA() clobbers(A,X) ; copy fac2 to fac1
romsub $bc0c = MOVAF() clobbers(A,X) ; copy fac1 to fac2 (rounded)
romsub $bc0f = MOVEF() clobbers(A,X) ; copy fac1 to fac2
romsub $bbd4 = MOVMF(uword mflpt @ XY) clobbers(A,Y) ; store fac1 to memory X/Y as 5-byte mflpt
; fac1-> signed word in Y/A (might throw ILLEGAL QUANTITY)
; (tip: use floats.FTOSWRDAY to get A/Y output; lo/hi switched to normal little endian order)
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romsub $b1aa = FTOSWORDYA() clobbers(X) -> ubyte @ Y, ubyte @ A ; note: calls AYINT.
; fac1 -> unsigned word in Y/A (might throw ILLEGAL QUANTITY) (result also in $14/15)
; (tip: use floats.GETADRAY to get A/Y output; lo/hi switched to normal little endian order)
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romsub $b7f7 = GETADR() clobbers(X) -> ubyte @ Y, ubyte @ A
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romsub $bc9b = QINT() clobbers(A,X,Y) ; fac1 -> 4-byte signed integer in 98-101 ($62-$65), with the MSB FIRST.
romsub $b1bf = AYINT() clobbers(A,X,Y) ; fac1-> signed word in 100-101 ($64-$65) MSB FIRST. (might throw ILLEGAL QUANTITY)
; GIVAYF: signed word in Y/A (note different lsb/msb order) -> float in fac1
; (tip: use floats.GIVAYFAY to use A/Y input; lo/hi switched to normal order)
; there is also floats.GIVUAYFAY - unsigned word in A/Y (lo/hi) to fac1
; there is also floats.FREADS32 that reads from 98-101 ($62-$65) MSB FIRST
; there is also floats.FREADUS32 that reads from 98-101 ($62-$65) MSB FIRST
; there is also floats.FREADS24AXY that reads signed int24 into fac1 from A/X/Y (lo/mid/hi bytes)
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romsub $b391 = GIVAYF(ubyte lo @ Y, ubyte hi @ A) clobbers(A,X,Y)
romsub $b3a2 = FREADUY(ubyte value @ Y) clobbers(A,X,Y) ; 8 bit unsigned Y -> float in fac1
romsub $bc3c = FREADSA(byte value @ A) clobbers(A,X,Y) ; 8 bit signed A -> float in fac1
romsub $b7b5 = FREADSTR(ubyte length @ A) clobbers(A,X,Y) ; str -> fac1, $22/23 must point to string, A=string length
romsub $aabc = FPRINTLN() clobbers(A,X,Y) ; print string of fac1, on one line (= with newline) destroys fac1. (consider FOUT + STROUT as well)
romsub $bddd = FOUT() clobbers(X) -> uword @ AY ; fac1 -> string, address returned in AY ($0100)
romsub $b849 = FADDH() clobbers(A,X,Y) ; fac1 += 0.5, for rounding- call this before INT
romsub $bae2 = MUL10() clobbers(A,X,Y) ; fac1 *= 10
romsub $bafe = DIV10() clobbers(A,X,Y) ; fac1 /= 10 , CAUTION: result is always positive!
romsub $bc5b = FCOMP(uword mflpt @ AY) clobbers(X,Y) -> ubyte @ A ; A = compare fac1 to mflpt in A/Y, 0=equal 1=fac1 is greater, 255=fac1 is less than
romsub $b86a = FADDT() clobbers(A,X,Y) ; fac1 += fac2
romsub $b867 = FADD(uword mflpt @ AY) clobbers(A,X,Y) ; fac1 += mflpt value from A/Y
romsub $b853 = FSUBT() clobbers(A,X,Y) ; fac1 = fac2-fac1 mind the order of the operands
romsub $b850 = FSUB(uword mflpt @ AY) clobbers(A,X,Y) ; fac1 = mflpt from A/Y - fac1
romsub $ba2b = FMULTT() clobbers(A,X,Y) ; fac1 *= fac2
romsub $ba28 = FMULT(uword mflpt @ AY) clobbers(A,X,Y) ; fac1 *= mflpt value from A/Y
romsub $bb12 = FDIVT() clobbers(A,X,Y) ; fac1 = fac2/fac1 (remainder in fac2) mind the order of the operands
romsub $bb0f = FDIV(uword mflpt @ AY) clobbers(A,X,Y) ; fac1 = mflpt in A/Y / fac1 (remainder in fac2)
romsub $bf7b = FPWRT() clobbers(A,X,Y) ; fac1 = fac2 ** fac1
romsub $bf78 = FPWR(uword mflpt @ AY) clobbers(A,X,Y) ; fac1 = fac2 ** mflpt from A/Y
romsub $bd7e = FINLOG(byte value @A) clobbers (A, X, Y) ; fac1 += signed byte in A
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romsub $aed4 = NOTOP() clobbers(A,X,Y) ; fac1 = NOT(fac1)
romsub $bccc = INT() clobbers(A,X,Y) ; INT() truncates, use FADDH first to round instead of trunc
romsub $b9ea = LOG() clobbers(A,X,Y) ; fac1 = LN(fac1) (natural log)
romsub $bc39 = SGN() clobbers(A,X,Y) ; fac1 = SGN(fac1), result of SIGN (-1, 0 or 1)
romsub $bc2b = SIGN() -> ubyte @ A ; SIGN(fac1) to A, $ff, $0, $1 for negative, zero, positive
romsub $bc58 = ABS() ; fac1 = ABS(fac1)
romsub $bf71 = SQR() clobbers(A,X,Y) ; fac1 = SQRT(fac1)
romsub $bf74 = SQRA() clobbers(A,X,Y) ; fac1 = SQRT(fac2)
romsub $bfed = EXP() clobbers(A,X,Y) ; fac1 = EXP(fac1) (e ** fac1)
romsub $bfb4 = NEGOP() clobbers(A) ; switch the sign of fac1
romsub $e097 = RND() clobbers(A,X,Y) ; fac1 = RND(fac1) float random number generator
romsub $e264 = COS() clobbers(A,X,Y) ; fac1 = COS(fac1)
romsub $e26b = SIN() clobbers(A,X,Y) ; fac1 = SIN(fac1)
romsub $e2b4 = TAN() clobbers(A,X,Y) ; fac1 = TAN(fac1)
romsub $e30e = ATN() clobbers(A,X,Y) ; fac1 = ATN(fac1)
asmsub FREADS32() clobbers(A,X,Y) {
; ---- fac1 = signed int32 from $62-$65 big endian (MSB FIRST)
%asm {{
lda $62
eor #$ff
asl a
lda #0
ldx #$a0
jmp $bc4f ; internal BASIC routine
}}
}
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asmsub FREADUS32 () clobbers(A,X,Y) {
; ---- fac1 = uint32 from $62-$65 big endian (MSB FIRST)
%asm {{
sec
lda #0
ldx #$a0
jmp $bc4f ; internal BASIC routine
}}
}
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asmsub FREADS24AXY (ubyte lo @ A, ubyte mid @ X, ubyte hi @ Y) clobbers(A,X,Y) {
; ---- fac1 = signed int24 (A/X/Y contain lo/mid/hi bytes)
; note: there is no FREADU24AXY (unsigned), use FREADUS32 instead.
%asm {{
sty $62
stx $63
sta $64
lda $62
eor #$FF
asl a
lda #0
sta $65
ldx #$98
jmp $bc4f ; internal BASIC routine
}}
}
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asmsub GIVUAYFAY (uword value @ AY) clobbers(A,X,Y) {
; ---- unsigned 16 bit word in A/Y (lo/hi) to fac1
%asm {{
sty $62
sta $63
ldx #$90
sec
jmp $bc49 ; internal BASIC routine
}}
}
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asmsub GIVAYFAY (uword value @ AY) clobbers(A,X,Y) {
; ---- signed 16 bit word in A/Y (lo/hi) to float in fac1
%asm {{
sta P8ZP_SCRATCH_REG
tya
ldy P8ZP_SCRATCH_REG
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jmp GIVAYF ; this uses the inverse order, Y/A
}}
}
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asmsub FTOSWRDAY () clobbers(X) -> uword @ AY {
; ---- fac1 to signed word in A/Y
%asm {{
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jsr FTOSWORDYA ; note the inverse Y/A order
sta P8ZP_SCRATCH_REG
tya
ldy P8ZP_SCRATCH_REG
rts
}}
}
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asmsub GETADRAY () clobbers(X) -> uword @ AY {
; ---- fac1 to unsigned word in A/Y
%asm {{
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jsr GETADR ; this uses the inverse order, Y/A
sta P8ZP_SCRATCH_B1
tya
ldy P8ZP_SCRATCH_B1
rts
}}
}
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sub print_f (float value) {
; ---- prints the floating point value (without a newline).
%asm {{
stx floats_store_reg
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lda #<value
ldy #>value
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jsr MOVFM ; load float into fac1
jsr FOUT ; fac1 to string in A/Y
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sta P8ZP_SCRATCH_W1
sty P8ZP_SCRATCH_W1+1
ldy #0
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- lda (P8ZP_SCRATCH_W1),y
beq +
jsr c64.CHROUT
iny
bne -
+ ldx floats_store_reg
rts
}}
}
%asminclude "library:c64/floats.asm", ""
%asminclude "library:c64/floats_funcs.asm", ""
}