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+//
+// $Id$
+//
+// 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+// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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