prog8/lib/mathlib.ill

; IL65 integer math library for 6502
; (floating point math is done via the C-64's BASIC ROM routines)
;
;  some more interesting routines can be found here http://6502org.wikidot.com/software-math
;
; Written by Irmen de Jong (irmen@razorvine.net)
; License: GNU GPL 3.0, see LICENSE
;
; indent format: TABS, size=8


output raw

~ math {
		; note: the following ZP scratch registers must be the same as in c64lib
		memory  .byte  SCRATCH_ZP1	= $02		; scratch register #1 in ZP
		memory  .byte  SCRATCH_ZP2	= $03		; scratch register #2 in ZP
		memory  .word  SCRATCH_ZPWORD1	= $fb		; scratch word in ZP ($fb/$fc)
		memory  .word  SCRATCH_ZPWORD2	= $fd		; scratch word in ZP ($fd/$fe)



sub  multiply_bytes  (byte1: X, byte2: Y) -> (A, X?)  {
	; ---- multiply 2 bytes, result as byte in A  (signed or unsigned)
	asm {
		stx  SCRATCH_ZP1
		sty  SCRATCH_ZP2
		ldx  #8
-               asl  a
		asl  SCRATCH_ZP1
		bcc  +
		clc
		adc  SCRATCH_ZP2
+               dex
		bne  -
		rts
	}
}


sub  multiply_bytes_16  (byte1: X, byte2: Y) -> (A?, XY)  {
	; ---- multiply 2 bytes, result as word in X/Y (unsigned)
	asm {
		lda  #0
_m_with_add	stx  SCRATCH_ZP1
		sty  SCRATCH_ZP2
		ldx  #8
		lsr  SCRATCH_ZP1
-               bcc  +
		clc
		adc  SCRATCH_ZP2
+               ror  a
		ror  SCRATCH_ZP1
		dex
		bne  -
		tay
		ldx  SCRATCH_ZP1
		rts
	}
}


sub  multiply_bytes_addA_16  (byte1: X, byte2: Y, add: A) -> (A?, XY)  {
	; ---- multiply 2 bytes and add A, result as word in X/Y (unsigned)
	asm {
		jmp  multiply_bytes_16._m_with_add
	}
}

	var  .wordarray(2)  multiply_words_product
sub  multiply_words  (number: XY) -> (?)  {
	; ---- multiply two 16-bit words into a 32-bit result
	;      input: X/Y = first 16-bit number, SCRATCH_ZPWORD1 in ZP = second 16-bit number
	;      output: multiply_words_product  32-bits product, LSB order (low-to-high)

	asm {
		stx  SCRATCH_ZPWORD2
		sty  SCRATCH_ZPWORD2+1

mult16		lda  #$00
		sta  multiply_words_product+2			; clear upper bits of product
		sta  multiply_words_product+3
		ldx  #16			; for all 16 bits...
-	 	lsr  SCRATCH_ZPWORD1+1		; divide multiplier by 2
		ror  SCRATCH_ZPWORD1
		bcc  +
		lda  multiply_words_product+2			; get upper half of product and add multiplicand
		clc
		adc  SCRATCH_ZPWORD2
		sta  multiply_words_product+2
		lda  multiply_words_product+3
		adc  SCRATCH_ZPWORD2+1
+ 		ror  a				; rotate partial product
		sta  multiply_words_product+3
		ror  multiply_words_product+2
		ror  multiply_words_product+1
		ror  multiply_words_product
		dex
		bne  -
		rts
	}
}


sub  divmod_bytes  (number: X, divisor: Y) -> (X, A)  {
	; ---- divide X by Y, result quotient in X, remainder in A   (unsigned)
	;      division by zero will result in quotient = 255 and remainder = original number
	asm {
		stx  SCRATCH_ZP1
		sty  SCRATCH_ZP2

		lda  #0
		ldx  #8
		asl  SCRATCH_ZP1
-		rol  a
		cmp  SCRATCH_ZP2
		bcc  +
		sbc  SCRATCH_ZP2
+		rol  SCRATCH_ZP1
		dex
		bne  -

		ldx  SCRATCH_ZP1
		rts
	}
}

sub  divmod_words  (divisor: XY) -> (A?, XY)  {
	; ---- divide two words (16 bit each) into 16 bit results
	;      input:  SCRATCH_ZPWORD1 in ZP: 16 bit number, X/Y: 16 bit divisor
	;      output: SCRATCH_ZPWORD1 in ZP: 16 bit result, X/Y: 16 bit remainder
	;      division by zero will result in quotient = 65535 and remainder = divident

	asm {
remainder = SCRATCH_ZP1

		stx  SCRATCH_ZPWORD2
		sty  SCRATCH_ZPWORD2+1
		lda  #0	        		;preset remainder to 0
		sta  remainder
		sta  remainder+1
		ldx  #16	        	;repeat for each bit: ...

-		asl  SCRATCH_ZPWORD1		;number lb & hb*2, msb -> Carry
		rol  SCRATCH_ZPWORD1+1
		rol  remainder			;remainder lb & hb * 2 + msb from carry
		rol  remainder+1
		lda  remainder
		sec
		sbc  SCRATCH_ZPWORD2		;substract divisor to see if it fits in
		tay	        		;lb result -> Y, for we may need it later
		lda  remainder+1
		sbc  SCRATCH_ZPWORD2+1
		bcc  +				;if carry=0 then divisor didn't fit in yet

		sta  remainder+1		;else save substraction result as new remainder,
		sty  remainder
		inc  SCRATCH_ZPWORD1		;and INCrement result cause divisor fit in 1 times

+		dex
		bne  -

		lda  remainder			; copy remainder to ZPWORD2 result register
		sta  SCRATCH_ZPWORD2
		lda  remainder+1
		sta  SCRATCH_ZPWORD2+1

		ldx  SCRATCH_ZPWORD1		; load division result in X/Y
		ldy  SCRATCH_ZPWORD1+1

		rts

	}
}

}