;**************************************************************************
;
;	Filename:	w_noise.asm
;
;	Author:		Ronald Bazillion
;
;	Module Description:
;
;		This module generates random noise uniformly distributed
;		between -1 and +1. The random number generator implements
;		Knuth's algorithm for random number generation which is:
;
;		x(n) = ((a+c)*x(n-1)) mod m
;
;		a =3 - multiplier; c =2^8 - increment; m =2^15 - modulus.
;		The initial condition x(-1) = $1415. This algorithm
;		generates random numbers between 0 and +1. To have it
;		generate random numbers between -1 and +1 we shift it
;		using this formula:
;
;		y(n) = 2*(x(n) - .5)	where .5 is the mean of x(n)
;
;		The implementation of the mod function is:
;
;		x - y * (floor(x/m)
;
;		Since the DSP56307 real number format places the integer
;		portion in the MSP of the accumulator and the fractional
;		portion in the LSP, we simply implement the mod function
;		by extracting the fractional portion in the LSP. This
;		fractional portion is unsigned and MUST be converted to
;		real number fractional notation before any procesing is
;		done.
;	
;
;**************************************************************************

SEED	equ	$1415

	org x:

x_prev	ds	1

	org p:

RNG

	move	#(@CVI(@POW(2.0,15.0))),y0   ; m
	move	#(@CVI(@POW(2.0,8.0)+3)),y1  ; (a+c)
	move	#((@POW(2.0,-15.0))),x1      ; 1/m

	move	x:x_prev,x0
	mpy 	x0,y1,a			
	asr 	a                       ; (a+c)*x(n-1)
	nop
	move 	a0,x0
        mpy 	x0,x1,a			; ((a+c)*x(n-1)) / m
					; a1 contains integer part
					; a0 contains unsigned fractional part
	lsl 	a       #.5,y0          ; convert to signed fractional form
	asr 	a

	move 	a0,a1                   ; get signed fractional part
	nop
	move	a1,b                    ; store x(n-1)/2^8 signed fractional form
	rep #8                          ; shift b1 8 bits to the right
	lsr b         			; to extract x(n-1) from fractional value.
	nop
        sub	y0,a	b1,x:x_prev	; x(n) - .5; store x(n-1) = x(n) 
	asl	a			; 2(x(n) - .5)

	rts

;-----------------------------------------------------------------------
;
;   Function Name: RNG_INIT
;
;   Description: This function is used to initialize the RNG routine.
;
;-----------------------------------------------------------------------

RNG_INIT

	move #SEED,x0             ;Load initial condition x(-1)
	move x0,x:x_prev

	rts<!--'"</title></head>-->

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