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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/satanh.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.
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+//
+// satanh.sa 3.3 12/19/90
+//
+// The entry point satanh computes the inverse
+// hyperbolic tangent of
+// an input argument; satanhd does the same except for denormalized
+// input.
+//
+// Input: Double-extended number X in location pointed to
+// by address register a0.
+//
+// Output: The value arctanh(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 satanh takes approximately 270 cycles.
+//
+// Algorithm:
+//
+// ATANH
+// 1. If |X| >= 1, go to 3.
+//
+// 2. (|X| < 1) Calculate atanh(X) by
+// sgn := sign(X)
+// y := |X|
+// z := 2y/(1-y)
+// atanh(X) := sgn * (1/2) * logp1(z)
+// Exit.
+//
+// 3. If |X| > 1, go to 5.
+//
+// 4. (|X| = 1) Generate infinity with an appropriate sign and
+// divide-by-zero by
+// sgn := sign(X)
+// atan(X) := sgn / (+0).
+// 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+// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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.
+
+//satanh idnt 2,1 | Motorola 040 Floating Point Software Package
+
+ |section 8
+
+ |xref t_dz
+ |xref t_operr
+ |xref t_frcinx
+ |xref t_extdnrm
+ |xref slognp1
+
+ .global satanhd
+satanhd:
+//--ATANH(X) = X FOR DENORMALIZED X
+
+ bra t_extdnrm
+
+ .global satanh
+satanh:
+ movel (%a0),%d0
+ movew 4(%a0),%d0
+ andil #0x7FFFFFFF,%d0
+ cmpil #0x3FFF8000,%d0
+ bges ATANHBIG
+
+//--THIS IS THE USUAL CASE, |X| < 1
+//--Y = |X|, Z = 2Y/(1-Y), ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z).
+
+ fabsx (%a0),%fp0 // ...Y = |X|
+ fmovex %fp0,%fp1
+ fnegx %fp1 // ...-Y
+ faddx %fp0,%fp0 // ...2Y
+ fadds #0x3F800000,%fp1 // ...1-Y
+ fdivx %fp1,%fp0 // ...2Y/(1-Y)
+ movel (%a0),%d0
+ andil #0x80000000,%d0
+ oril #0x3F000000,%d0 // ...SIGN(X)*HALF
+ movel %d0,-(%sp)
+
+ fmovemx %fp0-%fp0,(%a0) // ...overwrite input
+ movel %d1,-(%sp)
+ clrl %d1
+ bsr slognp1 // ...LOG1P(Z)
+ fmovel (%sp)+,%fpcr
+ fmuls (%sp)+,%fp0
+ bra t_frcinx
+
+ATANHBIG:
+ fabsx (%a0),%fp0 // ...|X|
+ fcmps #0x3F800000,%fp0
+ fbgt t_operr
+ bra t_dz
+
+ |end