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authorJoel Sherrill <joel.sherrill@OARcorp.com>1997-04-16 17:33:04 +0000
committerJoel Sherrill <joel.sherrill@OARcorp.com>1997-04-16 17:33:04 +0000
commitf9b93da8b47ff7ea4d6573b75b6077f6efb8dbc6 (patch)
tree46e2747b2b8f04d36d530daad59481f4f79e3c00 /c/src/lib/libcpu/m68k/m68040/fpsp/sasin.s
parentAdded --disable-tcpip option. (diff)
downloadrtems-f9b93da8b47ff7ea4d6573b75b6077f6efb8dbc6.tar.bz2
Added the MC68040 Floating Point Support Package. This was ported
to RTEMS by Eric Norum. It is freely distributable and was acquired from the Motorola WWW site. More info is in the FPSP README.
Diffstat (limited to 'c/src/lib/libcpu/m68k/m68040/fpsp/sasin.s')
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+//
+// 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+// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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