patch-1.3.94 linux/arch/m68k/fpsp040/sacos.S

• Lines: 116
• Date: Sat Feb 24 22:58:43 1996
• Orig file: v1.3.93/linux/arch/m68k/fpsp040/sacos.S
• Orig date: Thu Jan 1 02:00:00 1970

diff -u --recursive --new-file v1.3.93/linux/arch/m68k/fpsp040/sacos.S linux/arch/m68k/fpsp040/sacos.S
@@ -0,0 +1,115 @@
+|
+|	sacos.sa 3.3 12/19/90
+|
+|	Description: The entry point sAcos computes the inverse cosine of
+|		an input argument; sAcosd does the same except for denormalized
+|		input.
+|
+|	Input: Double-extended number X in location pointed to
+|		by address register a0.
+|
+|	Output: The value arccos(X) returned in floating-point register Fp0.
+|
+|	Accuracy and Monotonicity: The returned result is within 3 ulps in
+|		64 significant bit, i.e. within 0.5001 ulp to 53 bits if the
+|		result is subsequently rounded to double precision. The 
+|		result is provably monotonic in double precision.
+|
+|	Speed: The program sCOS takes approximately 310 cycles.
+|
+|	Algorithm:
+|
+|	ACOS
+|	1. If |X| >= 1, go to 3.
+|
+|	2. (|X| < 1) Calculate acos(X) by
+|		z := (1-X) / (1+X)
+|		acos(X) = 2 * atan( sqrt(z) ).
+|		Exit.
+|
+|	3. If |X| > 1, go to 5.
+|
+|	4. (|X| = 1) If X > 0, return 0. Otherwise, return Pi. Exit.
+|
+|	5. (|X| > 1) Generate an invalid operation by 0 * infinity.
+|		Exit.
+|
+
+|		Copyright (C) Motorola, Inc. 1990
+|			All Rights Reserved
+|
+|	THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA 
+|	The copyright notice above does not evidence any  
+|	actual or intended publication of such source code.
+
+|SACOS	idnt	2,1 | Motorola 040 Floating Point Software Package
+
+	|section	8
+
+PI:	.long 0x40000000,0xC90FDAA2,0x2168C235,0x00000000
+PIBY2:	.long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x00000000
+
+	|xref	t_operr
+	|xref	t_frcinx
+	|xref	satan
+
+	.global	sacosd
+sacosd:
+|--ACOS(X) = PI/2 FOR DENORMALIZED X
+	fmovel		%d1,%fpcr		| ...load user's rounding mode/precision
+	fmovex		PIBY2,%fp0
+	bra		t_frcinx
+
+	.global	sacos
+sacos:
+	fmovex		(%a0),%fp0	| ...LOAD INPUT
+
+	movel		(%a0),%d0		| ...pack exponent with upper 16 fraction
+	movew		4(%a0),%d0
+	andil		#0x7FFFFFFF,%d0
+	cmpil		#0x3FFF8000,%d0
+	bges		ACOSBIG
+
+|--THIS IS THE USUAL CASE, |X| < 1
+|--ACOS(X) = 2 * ATAN(	SQRT( (1-X)/(1+X) )	)
+
+	fmoves		#0x3F800000,%fp1
+	faddx		%fp0,%fp1	 	| ...1+X
+	fnegx		%fp0	 	| ... -X
+	fadds		#0x3F800000,%fp0	| ...1-X
+	fdivx		%fp1,%fp0	 	| ...(1-X)/(1+X)
+	fsqrtx		%fp0		| ...SQRT((1-X)/(1+X))
+	fmovemx	%fp0-%fp0,(%a0)	| ...overwrite input
+	movel		%d1,-(%sp)	|save original users fpcr
+	clrl		%d1
+	bsr		satan		| ...ATAN(SQRT([1-X]/[1+X]))
+	fmovel		(%sp)+,%fpcr	|restore users exceptions
+	faddx		%fp0,%fp0	 	| ...2 * ATAN( STUFF )
+	bra		t_frcinx
+
+ACOSBIG:
+	fabsx		%fp0
+	fcmps		#0x3F800000,%fp0
+	fbgt		t_operr		|cause an operr exception
+
+|--|X| = 1, ACOS(X) = 0 OR PI
+	movel		(%a0),%d0		| ...pack exponent with upper 16 fraction
+	movew		4(%a0),%d0
+	cmpl		#0,%d0		|D0 has original exponent+fraction
+	bgts		ACOSP1
+
+|--X = -1
+|Returns PI and inexact exception
+	fmovex		PI,%fp0
+	fmovel		%d1,%FPCR
+	fadds		#0x00800000,%fp0	|cause an inexact exception to be put
+|					;into the 040 - will not trap until next
+|					;fp inst.
+	bra		t_frcinx
+
+ACOSP1:
+	fmovel		%d1,%FPCR
+	fmoves		#0x00000000,%fp0
+	rts				|Facos ; of +1 is exact	
+
+	|end