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authorSrikant Patnaik2015-01-11 12:28:04 +0530
committerSrikant Patnaik2015-01-11 12:28:04 +0530
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tree8718f573808810c2a1e8cb8fb6ac469093ca2784 /ANDROID_3.4.5/arch/m68k/fpsp040/stanh.S
parent9d40ac5867b9aefe0722bc1f110b965ff294d30d (diff)
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The original directory structure was scattered and unorganized. Changes are basically to make it look like kernel structure.
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-|
-| stanh.sa 3.1 12/10/90
-|
-| The entry point sTanh computes the hyperbolic tangent of
-| an input argument; sTanhd does the same except for denormalized
-| input.
-|
-| Input: Double-extended number X in location pointed to
-| by address register a0.
-|
-| Output: The value tanh(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 stanh takes approximately 270 cycles.
-|
-| Algorithm:
-|
-| TANH
-| 1. If |X| >= (5/2) log2 or |X| <= 2**(-40), go to 3.
-|
-| 2. (2**(-40) < |X| < (5/2) log2) Calculate tanh(X) by
-| sgn := sign(X), y := 2|X|, z := expm1(Y), and
-| tanh(X) = sgn*( z/(2+z) ).
-| Exit.
-|
-| 3. (|X| <= 2**(-40) or |X| >= (5/2) log2). If |X| < 1,
-| go to 7.
-|
-| 4. (|X| >= (5/2) log2) If |X| >= 50 log2, go to 6.
-|
-| 5. ((5/2) log2 <= |X| < 50 log2) Calculate tanh(X) by
-| sgn := sign(X), y := 2|X|, z := exp(Y),
-| tanh(X) = sgn - [ sgn*2/(1+z) ].
-| Exit.
-|
-| 6. (|X| >= 50 log2) Tanh(X) = +-1 (round to nearest). Thus, we
-| calculate Tanh(X) by
-| sgn := sign(X), Tiny := 2**(-126),
-| tanh(X) := sgn - sgn*Tiny.
-| Exit.
-|
-| 7. (|X| < 2**(-40)). Tanh(X) = X. Exit.
-|
-
-| Copyright (C) Motorola, Inc. 1990
-| All Rights Reserved
-|
-| For details on the license for this file, please see the
-| file, README, in this same directory.
-
-|STANH idnt 2,1 | Motorola 040 Floating Point Software Package
-
- |section 8
-
-#include "fpsp.h"
-
- .set X,FP_SCR5
- .set XDCARE,X+2
- .set XFRAC,X+4
-
- .set SGN,L_SCR3
-
- .set V,FP_SCR6
-
-BOUNDS1: .long 0x3FD78000,0x3FFFDDCE | ... 2^(-40), (5/2)LOG2
-
- |xref t_frcinx
- |xref t_extdnrm
- |xref setox
- |xref setoxm1
-
- .global stanhd
-stanhd:
-|--TANH(X) = X FOR DENORMALIZED X
-
- bra t_extdnrm
-
- .global stanh
-stanh:
- fmovex (%a0),%fp0 | ...LOAD INPUT
-
- fmovex %fp0,X(%a6)
- movel (%a0),%d0
- movew 4(%a0),%d0
- movel %d0,X(%a6)
- andl #0x7FFFFFFF,%d0
- cmp2l BOUNDS1(%pc),%d0 | ...2**(-40) < |X| < (5/2)LOG2 ?
- bcss TANHBORS
-
-|--THIS IS THE USUAL CASE
-|--Y = 2|X|, Z = EXPM1(Y), TANH(X) = SIGN(X) * Z / (Z+2).
-
- movel X(%a6),%d0
- movel %d0,SGN(%a6)
- andl #0x7FFF0000,%d0
- addl #0x00010000,%d0 | ...EXPONENT OF 2|X|
- movel %d0,X(%a6)
- andl #0x80000000,SGN(%a6)
- fmovex X(%a6),%fp0 | ...FP0 IS Y = 2|X|
-
- movel %d1,-(%a7)
- clrl %d1
- fmovemx %fp0-%fp0,(%a0)
- bsr setoxm1 | ...FP0 IS Z = EXPM1(Y)
- movel (%a7)+,%d1
-
- fmovex %fp0,%fp1
- fadds #0x40000000,%fp1 | ...Z+2
- movel SGN(%a6),%d0
- fmovex %fp1,V(%a6)
- eorl %d0,V(%a6)
-
- fmovel %d1,%FPCR |restore users exceptions
- fdivx V(%a6),%fp0
- bra t_frcinx
-
-TANHBORS:
- cmpl #0x3FFF8000,%d0
- blt TANHSM
-
- cmpl #0x40048AA1,%d0
- bgt TANHHUGE
-
-|-- (5/2) LOG2 < |X| < 50 LOG2,
-|--TANH(X) = 1 - (2/[EXP(2X)+1]). LET Y = 2|X|, SGN = SIGN(X),
-|--TANH(X) = SGN - SGN*2/[EXP(Y)+1].
-
- movel X(%a6),%d0
- movel %d0,SGN(%a6)
- andl #0x7FFF0000,%d0
- addl #0x00010000,%d0 | ...EXPO OF 2|X|
- movel %d0,X(%a6) | ...Y = 2|X|
- andl #0x80000000,SGN(%a6)
- movel SGN(%a6),%d0
- fmovex X(%a6),%fp0 | ...Y = 2|X|
-
- movel %d1,-(%a7)
- clrl %d1
- fmovemx %fp0-%fp0,(%a0)
- bsr setox | ...FP0 IS EXP(Y)
- movel (%a7)+,%d1
- movel SGN(%a6),%d0
- fadds #0x3F800000,%fp0 | ...EXP(Y)+1
-
- eorl #0xC0000000,%d0 | ...-SIGN(X)*2
- fmoves %d0,%fp1 | ...-SIGN(X)*2 IN SGL FMT
- fdivx %fp0,%fp1 | ...-SIGN(X)2 / [EXP(Y)+1 ]
-
- movel SGN(%a6),%d0
- orl #0x3F800000,%d0 | ...SGN
- fmoves %d0,%fp0 | ...SGN IN SGL FMT
-
- fmovel %d1,%FPCR |restore users exceptions
- faddx %fp1,%fp0
-
- bra t_frcinx
-
-TANHSM:
- movew #0x0000,XDCARE(%a6)
-
- fmovel %d1,%FPCR |restore users exceptions
- fmovex X(%a6),%fp0 |last inst - possible exception set
-
- bra t_frcinx
-
-TANHHUGE:
-|---RETURN SGN(X) - SGN(X)EPS
- movel X(%a6),%d0
- andl #0x80000000,%d0
- orl #0x3F800000,%d0
- fmoves %d0,%fp0
- andl #0x80000000,%d0
- eorl #0x80800000,%d0 | ...-SIGN(X)*EPS
-
- fmovel %d1,%FPCR |restore users exceptions
- fadds %d0,%fp0
-
- bra t_frcinx
-
- |end