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

• Lines: 105
• Date: Sat Feb 24 22:58:43 1996
• Orig file: v1.3.93/linux/arch/m68k/fpsp040/sasin.S
• Orig date: Thu Jan 1 02:00:00 1970

diff -u --recursive --new-file v1.3.93/linux/arch/m68k/fpsp040/sasin.S linux/arch/m68k/fpsp040/sasin.S
@@ -0,0 +1,104 @@
+|
+|	sasin.sa 3.3 12/19/90
+|
+|	Description: The entry point sAsin computes the inverse sine of
+|		an input argument; sAsind does the same except for denormalized
+|		input.
+|
+|	Input: Double-extended number X in location pointed to
+|		by address register a0.
+|
+|	Output: The value arcsin(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 sASIN takes approximately 310 cycles.
+|
+|	Algorithm:
+|
+|	ASIN
+|	1. If |X| >= 1, go to 3.
+|
+|	2. (|X| < 1) Calculate asin(X) by
+|		z := sqrt( [1-X][1+X] )
+|		asin(X) = atan( x / z ).
+|		Exit.
+|
+|	3. If |X| > 1, go to 5.
+|
+|	4. (|X| = 1) sgn := sign(X), return asin(X) := sgn * Pi/2. 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+|	THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA 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.
+
+|SASIN	idnt	2,1 | Motorola 040 Floating Point Software Package
+
+	|section	8
+
+PIBY2:	.long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x00000000
+
+	|xref	t_operr
+	|xref	t_frcinx
+	|xref	t_extdnrm
+	|xref	satan
+
+	.global	sasind
+sasind:
+|--ASIN(X) = X FOR DENORMALIZED X
+
+	bra		t_extdnrm
+
+	.global	sasin
+sasin:
+	fmovex		(%a0),%fp0	| ...LOAD INPUT
+
+	movel		(%a0),%d0
+	movew		4(%a0),%d0
+	andil		#0x7FFFFFFF,%d0
+	cmpil		#0x3FFF8000,%d0
+	bges		asinbig
+
+|--THIS IS THE USUAL CASE, |X| < 1
+|--ASIN(X) = ATAN( X / SQRT( (1-X)(1+X) ) )
+
+	fmoves		#0x3F800000,%fp1
+	fsubx		%fp0,%fp1		| ...1-X
+	fmovemx	%fp2-%fp2,-(%a7)
+	fmoves		#0x3F800000,%fp2
+	faddx		%fp0,%fp2		| ...1+X
+	fmulx		%fp2,%fp1		| ...(1+X)(1-X)
+	fmovemx	(%a7)+,%fp2-%fp2
+	fsqrtx		%fp1		| ...SQRT([1-X][1+X])
+	fdivx		%fp1,%fp0	 	| ...X/SQRT([1-X][1+X])
+	fmovemx	%fp0-%fp0,(%a0)
+	bsr		satan
+	bra		t_frcinx
+
+asinbig:
+	fabsx		%fp0	 | ...|X|
+	fcmps		#0x3F800000,%fp0
+	fbgt		t_operr		|cause an operr exception
+
+|--|X| = 1, ASIN(X) = +- PI/2.
+
+	fmovex		PIBY2,%fp0
+	movel		(%a0),%d0
+	andil		#0x80000000,%d0	| ...SIGN BIT OF X
+	oril		#0x3F800000,%d0	| ...+-1 IN SGL FORMAT
+	movel		%d0,-(%sp)	| ...push SIGN(X) IN SGL-FMT
+	fmovel		%d1,%FPCR		
+	fmuls		(%sp)+,%fp0
+	bra		t_frcinx
+
+	|end