PIC Microcontoller Math Method

Multiply 16x16 bit from Jim Bixby

After looking all over for a fast 16x16-->32 unsigned multiply routine, I adapted stuff from here to create the following. It is easily modified to other multiply resolutions, does nothing tricky like depend on register locations or order, and goes fast (16x16 mpy in about 168 instructions):

;**********************************************************************************************
;   PIC16 fast unsigned multiply routines 
;	Jim Bixby
;	bix@san.rr.com
;**********************************************************************************************
	list	r=dec,x=on,t=off,p=16F877
	include	p16F877.INC


;     STATUS bit definitions

	#define	_C		STATUS,0
	#define	_Z		STATUS,2

 cblock 0x20		;Register definitions

	TEMP0, TEMP1, TEMP2, TEMP3	;convention: '0' is most sig byte
	AARG0, AARG1, AARG2, AARG3
 	BARG0, BARG1

 endc



	org	0x0000
	nop
	goto	MAIN

; a short test routine

MAIN
	movlw	0x45		;init a couple of arguments
	movwf	AARG0
	movlw	0x30
	movwf	AARG1

	movlw	0xC2
	movwf	BARG0
	movlw	0x51
	movwf	BARG1

	call	MUL16x16U	;call the multiply

	goto	MAIN
 

;*****************************************************************************************
; Unsigned multiply routine
; Multiplies of any size can easily be made from the macros - for this code, only MUL16X16
; is made
;
; The approach here is linear code for speed at the expense of RAM and registers
; Adapted from <unknown>: http://www.piclist.com/techref/microchip/math/mul/8x8u.htm
;*****************************************************************************************
; Add16AB macro - add AH:AL to BH:BL, result goes to BH:BL

Add16AB	MACRO	AH,AL,BH,BL
	movfw	AL
	addwf	BL,f
	movfw	AH
	btfsc	_C
	incfsz	AH,w
	addwf	BH,f
	ENDM

;*****************************************************************************************
; Macro for adding & right shifting - used once per bit by mulmac

mult    MACRO   bit,A,H,L	;A=multiplier,H:L=result, other arg in W
        btfsc   A,bit
        addwf   H,f
        rrf     H,f
        rrf     L,f
        ENDM                    ; End of macro

;*****************************************************************************************
; 8x8-->16 multiply macro  A * B --> H:L
;		Invokes mult macro above

mulmac	MACRO	A,B,H,L		; H:L = A*B
	clrf    H
        clrf    L
        movf    B,W		; move the multiplicand to W reg.
        bcf     _C		; Clear the carry bit in the status Reg.
        mult    0,A,H,L
        mult    1,A,H,L
        mult    2,A,H,L
        mult    3,A,H,L
        mult    4,A,H,L
        mult    5,A,H,L
        mult    6,A,H,L
        mult    7,A,H,L
	ENDM
;
 	NOEXPAND
;*****************************************************************************************
; MUL16x16U
;	AARG0:1 * BARG0:1 --> AARG0:3
;	Invokes the three macros above 
;	164 prog words, 168 inst cycles, 10 registers (6 for call/return arguments + 4)
;	Uses TEMP0:3 also. BARG0:1 unchanged on return
;*****************************************************************************************

MUL16x16U
	; 32 bit result is first calculated into T0:T1:A2:A3
	; When done, T0:1 is moved to A0:1 so the final result is in A0:3
	; Register names can be changed at will, and any register can be located
	; anywhere - order is not important.

	mulmac	ARG0, BARG0, TEMP0, TEMP1	;T0:1 <--A0*B0 
	mulmac	AARG1, BARG1, AARG2, AARG3 	;A2:3 <--A1*B1 
	mulmac	AARG1, BARG0, TEMP2, TEMP3 	;T2:3 <--A1*B0 
	Add16AB	TEMP2, TEMP3, TEMP1, AARG2 	; Add T2:3 to T1:A2, carry into T0 
	btfsc 	_C 				; nb: this relies on the _C bit being 
	incf 	TEMP0,f 			; correct after the Add16AB macro 
	mulmac	AARG0, BARG1, TEMP2, TEMP3 	;T2:3 <--A0*B1 
	Add16AB TEMP2, TEMP3, TEMP1, AARG2 	; Add T2:3 to T1:A2, carry into T0 
	btfsc 	_C 
	incf 	TEMP0,f 
	movfw 	TEMP1 				;Move T0:1 to A0:1 
	movwf 	AARG1 				;to finish 
	movfw 	TEMP0 
	movwf 	AARG0 
	retlw 	0 
	EXPAND 
	END 

Comments:

• Big thanks! Saved me a lot of time. Works great.
  Roman, Poland+
• great job, thx a lot.
  Arnaud+
• spamfsafi at STOPspamhotmail.com " Thank You Thank You Thank You, U read my MIND!!" +
• wonderful!!!!!!!!!!!!!!!!!! congratulations!!!!!!!!!!!!!!!!
  thank you very much!
  Maurício Bochner, from Brazil.+

In "Multiply 16x16 bit from Jim Bixby" there appears to be a typo. The first line of MUL16x16U which now reads mulmac ARG0, BARG0, TEMP0, TEMP1 ;T0:1 <--A0*B0 should be: mulmac AARG0, BARG0, TEMP0, TEMP1 ;T0:1 <--A0*B0 Thanks, Davide +

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