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

• Lines: 136
• Date: Sat Feb 24 22:58:44 1996
• Orig file: v1.3.93/linux/arch/m68k/fpsp040/ssinh.S
• Orig date: Thu Jan 1 02:00:00 1970

diff -u --recursive --new-file v1.3.93/linux/arch/m68k/fpsp040/ssinh.S linux/arch/m68k/fpsp040/ssinh.S
@@ -0,0 +1,135 @@
+|
+|	ssinh.sa 3.1 12/10/90
+|
+|       The entry point sSinh computes the hyperbolic sine of
+|       an input argument; sSinhd does the same except for denormalized
+|       input.
+|
+|       Input: Double-extended number X in location pointed to 
+|		by address register a0.
+|
+|       Output: The value sinh(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 sSINH takes approximately 280 cycles.
+|
+|       Algorithm:
+|
+|       SINH
+|       1. If |X| > 16380 log2, go to 3.
+|
+|       2. (|X| <= 16380 log2) Sinh(X) is obtained by the formulae
+|               y = |X|, sgn = sign(X), and z = expm1(Y),
+|               sinh(X) = sgn*(1/2)*( z + z/(1+z) ).
+|          Exit.
+|
+|       3. If |X| > 16480 log2, go to 5.
+|
+|       4. (16380 log2 < |X| <= 16480 log2)
+|               sinh(X) = sign(X) * exp(|X|)/2.
+|          However, invoking exp(|X|) may cause premature overflow.
+|          Thus, we calculate sinh(X) as follows:
+|             Y       := |X|
+|             sgn     := sign(X)
+|             sgnFact := sgn * 2**(16380)
+|             Y'      := Y - 16381 log2
+|             sinh(X) := sgnFact * exp(Y').
+|          Exit.
+|
+|       5. (|X| > 16480 log2) sinh(X) must overflow. Return
+|          sign(X)*Huge*Huge to generate overflow and an infinity with
+|          the appropriate sign. Huge is the largest finite number in
+|          extended format. 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+|	THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA 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.
+
+|SSINH	idnt	2,1 | Motorola 040 Floating Point Software Package
+
+	|section	8
+
+T1:	.long 0x40C62D38,0xD3D64634 | ... 16381 LOG2 LEAD
+T2:	.long 0x3D6F90AE,0xB1E75CC7 | ... 16381 LOG2 TRAIL
+
+	|xref	t_frcinx
+	|xref	t_ovfl
+	|xref	t_extdnrm
+	|xref	setox
+	|xref	setoxm1
+
+	.global	ssinhd
+ssinhd:
+|--SINH(X) = X FOR DENORMALIZED X
+
+	bra	t_extdnrm
+
+	.global	ssinh
+ssinh:
+	fmovex	(%a0),%fp0	| ...LOAD INPUT
+
+	movel	(%a0),%d0
+	movew	4(%a0),%d0
+	movel	%d0,%a1		| save a copy of original (compacted) operand
+	andl	#0x7FFFFFFF,%d0
+	cmpl	#0x400CB167,%d0
+	bgts	SINHBIG
+
+|--THIS IS THE USUAL CASE, |X| < 16380 LOG2
+|--Y = |X|, Z = EXPM1(Y), SINH(X) = SIGN(X)*(1/2)*( Z + Z/(1+Z) )
+
+	fabsx	%fp0		| ...Y = |X|
+
+	moveml	%a1/%d1,-(%sp)
+	fmovemx %fp0-%fp0,(%a0)
+	clrl	%d1
+	bsr	setoxm1	 	| ...FP0 IS Z = EXPM1(Y)
+	fmovel	#0,%fpcr
+	moveml	(%sp)+,%a1/%d1
+
+	fmovex	%fp0,%fp1
+	fadds	#0x3F800000,%fp1	| ...1+Z
+	fmovex	%fp0,-(%sp)
+	fdivx	%fp1,%fp0		| ...Z/(1+Z)
+	movel	%a1,%d0
+	andl	#0x80000000,%d0
+	orl	#0x3F000000,%d0
+	faddx	(%sp)+,%fp0
+	movel	%d0,-(%sp)
+
+	fmovel	%d1,%fpcr
+	fmuls	(%sp)+,%fp0	|last fp inst - possible exceptions set
+
+	bra	t_frcinx
+
+SINHBIG:
+	cmpl	#0x400CB2B3,%d0
+	bgt	t_ovfl
+	fabsx	%fp0
+	fsubd	T1(%pc),%fp0	| ...(|X|-16381LOG2_LEAD)
+	movel	#0,-(%sp)
+	movel	#0x80000000,-(%sp)
+	movel	%a1,%d0
+	andl	#0x80000000,%d0
+	orl	#0x7FFB0000,%d0
+	movel	%d0,-(%sp)	| ...EXTENDED FMT
+	fsubd	T2(%pc),%fp0	| ...|X| - 16381 LOG2, ACCURATE
+
+	movel	%d1,-(%sp)
+	clrl	%d1
+	fmovemx %fp0-%fp0,(%a0)
+	bsr	setox
+	fmovel	(%sp)+,%fpcr
+
+	fmulx	(%sp)+,%fp0	|possible exception
+	bra	t_frcinx
+
+	|end