diff options
author | Joel Sherrill <joel.sherrill@OARcorp.com> | 1998-12-14 23:15:38 +0000 |
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committer | Joel Sherrill <joel.sherrill@OARcorp.com> | 1998-12-14 23:15:38 +0000 |
commit | 01629105c2817a59a4f1f05039593f211cf5ddaa (patch) | |
tree | 76f6bb8f9ca6ddbd015e3b81964a8dacffaf5cf9 /c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S | |
parent | Patch from Ralf Corsepius <corsepiu@faw.uni-ulm.de> to rename all (diff) | |
download | rtems-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')
-rw-r--r-- | c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S | 134 |
1 files changed, 134 insertions, 0 deletions
diff --git a/c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S b/c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S new file mode 100644 index 0000000000..92e53918c0 --- /dev/null +++ b/c/src/lib/libcpu/m68k/m68040/fpsp/scosh.S @@ -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 |