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authorJoel Sherrill <joel.sherrill@OARcorp.com>1998-12-14 23:15:38 +0000
committerJoel Sherrill <joel.sherrill@OARcorp.com>1998-12-14 23:15:38 +0000
commit01629105c2817a59a4f1f05039593f211cf5ddaa (patch)
tree76f6bb8f9ca6ddbd015e3b81964a8dacffaf5cf9 /c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S
parentPatch from Ralf Corsepius <corsepiu@faw.uni-ulm.de> to rename all (diff)
downloadrtems-01629105c2817a59a4f1f05039593f211cf5ddaa.tar.bz2
Patch from Ralf Corsepius <corsepiu@faw.uni-ulm.de> to rename all
.s files to .S in conformance with GNU conventions. This is a minor step along the way to supporting automake.
Diffstat (limited to 'c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S')
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diff --git a/c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S b/c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S
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@@ -0,0 +1,134 @@
+//
+// $Id$
+//
+// scosh.sa 3.1 12/10/90
+//
+// The entry point sCosh computes the hyperbolic cosine of
+// an input argument; sCoshd does the same except for denormalized
+// input.
+//
+// Input: Double-extended number X in location pointed to
+// by address register a0.
+//
+// Output: The value cosh(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 sCOSH takes approximately 250 cycles.
+//
+// Algorithm:
+//
+// COSH
+// 1. If |X| > 16380 log2, go to 3.
+//
+// 2. (|X| <= 16380 log2) Cosh(X) is obtained by the formulae
+// y = |X|, z = exp(Y), and
+// cosh(X) = (1/2)*( z + 1/z ).
+// Exit.
+//
+// 3. (|X| > 16380 log2). If |X| > 16480 log2, go to 5.
+//
+// 4. (16380 log2 < |X| <= 16480 log2)
+// cosh(X) = sign(X) * exp(|X|)/2.
+// However, invoking exp(|X|) may cause premature overflow.
+// Thus, we calculate sinh(X) as follows:
+// Y := |X|
+// Fact := 2**(16380)
+// Y' := Y - 16381 log2
+// cosh(X) := Fact * exp(Y').
+// Exit.
+//
+// 5. (|X| > 16480 log2) sinh(X) must overflow. Return
+// 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+// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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.
+
+//SCOSH idnt 2,1 | Motorola 040 Floating Point Software Package
+
+ |section 8
+
+ |xref t_ovfl
+ |xref t_frcinx
+ |xref setox
+
+T1: .long 0x40C62D38,0xD3D64634 // ... 16381 LOG2 LEAD
+T2: .long 0x3D6F90AE,0xB1E75CC7 // ... 16381 LOG2 TRAIL
+
+TWO16380: .long 0x7FFB0000,0x80000000,0x00000000,0x00000000
+
+ .global scoshd
+scoshd:
+//--COSH(X) = 1 FOR DENORMALIZED X
+
+ fmoves #0x3F800000,%fp0
+
+ fmovel %d1,%FPCR
+ fadds #0x00800000,%fp0
+ bra t_frcinx
+
+ .global scosh
+scosh:
+ fmovex (%a0),%fp0 // ...LOAD INPUT
+
+ movel (%a0),%d0
+ movew 4(%a0),%d0
+ andil #0x7FFFFFFF,%d0
+ cmpil #0x400CB167,%d0
+ bgts COSHBIG
+
+//--THIS IS THE USUAL CASE, |X| < 16380 LOG2
+//--COSH(X) = (1/2) * ( EXP(X) + 1/EXP(X) )
+
+ fabsx %fp0 // ...|X|
+
+ movel %d1,-(%sp)
+ clrl %d1
+ fmovemx %fp0-%fp0,(%a0) //pass parameter to setox
+ bsr setox // ...FP0 IS EXP(|X|)
+ fmuls #0x3F000000,%fp0 // ...(1/2)EXP(|X|)
+ movel (%sp)+,%d1
+
+ fmoves #0x3E800000,%fp1 // ...(1/4)
+ fdivx %fp0,%fp1 // ...1/(2 EXP(|X|))
+
+ fmovel %d1,%FPCR
+ faddx %fp1,%fp0
+
+ bra t_frcinx
+
+COSHBIG:
+ cmpil #0x400CB2B3,%d0
+ bgts COSHHUGE
+
+ fabsx %fp0
+ fsubd T1(%pc),%fp0 // ...(|X|-16381LOG2_LEAD)
+ fsubd T2(%pc),%fp0 // ...|X| - 16381 LOG2, ACCURATE
+
+ movel %d1,-(%sp)
+ clrl %d1
+ fmovemx %fp0-%fp0,(%a0)
+ bsr setox
+ fmovel (%sp)+,%fpcr
+
+ fmulx TWO16380(%pc),%fp0
+ bra t_frcinx
+
+COSHHUGE:
+ fmovel #0,%fpsr //clr N bit if set by source
+ bclrb #7,(%a0) //always return positive value
+ fmovemx (%a0),%fp0-%fp0
+ bra t_ovfl
+
+ |end