8-bit Multiply: Difference between revisions
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The following code multiplies two 8-bit integers (range 0...255) and outputs a 16-bit result using only real calculation, no lockup table so the size of the code is very small. | The following code multiplies two 8-bit integers (range 0...255) and outputs a 16-bit result using only real calculation, no lockup table so the size of the code is very small. | ||
< | <pre> | ||
;8-bit multiply | ;8-bit multiply | ||
;by Bregalad | ;by Bregalad | ||
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ldy Res2 | ldy Res2 | ||
rts | rts | ||
</ | </pre> | ||
== Russian Peasant Algorithm == | == Russian Peasant Algorithm == | ||
This is the Russian peasant algorithm which was suggested by Bob Rost in his NES Development class PDFs. With 8 bit values the maximum number of iterations would be 7. Try to have value2ptr point to the lesser of the two values to reduce iterations. | This is the Russian peasant algorithm which was suggested by Bob Rost in his NES Development class PDFs. With 8 bit values the maximum number of iterations would be 7. Try to have value2ptr point to the lesser of the two values to reduce iterations. | ||
< | |||
<pre> | |||
; Multiply two bytes in memory using Russian peasant algorithm | ; Multiply two bytes in memory using Russian peasant algorithm | ||
; by frantik | ; by frantik | ||
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bne -loop: ; otherwise, loop | bne -loop: ; otherwise, loop | ||
.endm | .endm | ||
</ | </pre> | ||
[[Category:Arithmetic]] | [[Category:Arithmetic]] |
Revision as of 04:12, 11 September 2014
The following code multiplies two 8-bit integers (range 0...255) and outputs a 16-bit result using only real calculation, no lockup table so the size of the code is very small.
;8-bit multiply ;by Bregalad ;Enter with A,Y, numbers to multiply ;Output with YA = 16-bit result (X is unchanged) Multiply sty Factor ;Store input factor ldy #$00 sty Res sty Res2 ;Clear result ldy #$08 ;Number of shifts needed - lsr A ;Shift right input number bcc + ;Check if bit is set pha lda Res2 clc adc Mult sta Res2 ;If so add number to result pla + lsr Res2 ;Shift result right ror Res dey bne - lda Res ldy Res2 rts
Russian Peasant Algorithm
This is the Russian peasant algorithm which was suggested by Bob Rost in his NES Development class PDFs. With 8 bit values the maximum number of iterations would be 7. Try to have value2ptr point to the lesser of the two values to reduce iterations.
; Multiply two bytes in memory using Russian peasant algorithm ; by frantik ; Accepts: value1ptr and value2ptr, pointers to bytes in memory ; value2ptr should point to the lesser of the two values ; for increased efficiency ; Uses: $00, $01, $02 for temporary variables ; Returns: 16 bit value in $00 and $01 .macro multiply value1ptr, value2ptr ret = $00 ; return value temp = $02 ; temp storage lda #$00 ; clear temporary variables sta ret sta ret+1 sta temp jmp start: -loop: asl value1ptr ; double first value rol temp ; using 16bit precision lsr value2ptr ; halve second vale start: lda value2ptr ; and #01 ; is new 2nd value an odd number? beq -loop: ; clc ; if so, add new 1st value to running total lda ret ; adc value1ptr ; sta ret ; lda ret+1 ; adc temp ; sta ret+1 ; lda value2ptr ; cmp #01 ; is 2nd value 1? if so, we're done bne -loop: ; otherwise, loop .endm