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authorLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
committerLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
commit1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch)
tree0bba044c4ce775e45a88a51686b5d9f90697ea9d /arch/m68k/fpsp040/ssinh.S
downloadlinux-stericsson-1da177e4c3f41524e886b7f1b8a0c1fc7321cac2.tar.gz
Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history, even though we have it. We can create a separate "historical" git archive of that later if we want to, and in the meantime it's about 3.2GB when imported into git - space that would just make the early git days unnecessarily complicated, when we don't have a lot of good infrastructure for it. Let it rip!
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+|
+| ssinh.sa 3.1 12/10/90
+|
+| The entry point sSinh computes the hyperbolic sine of
+| an input argument; sSinhd does the same except for denormalized
+| input.
+|
+| Input: Double-extended number X in location pointed to
+| by address register a0.
+|
+| Output: The value sinh(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 sSINH takes approximately 280 cycles.
+|
+| Algorithm:
+|
+| SINH
+| 1. If |X| > 16380 log2, go to 3.
+|
+| 2. (|X| <= 16380 log2) Sinh(X) is obtained by the formulae
+| y = |X|, sgn = sign(X), and z = expm1(Y),
+| sinh(X) = sgn*(1/2)*( z + z/(1+z) ).
+| Exit.
+|
+| 3. If |X| > 16480 log2, go to 5.
+|
+| 4. (16380 log2 < |X| <= 16480 log2)
+| sinh(X) = sign(X) * exp(|X|)/2.
+| However, invoking exp(|X|) may cause premature overflow.
+| Thus, we calculate sinh(X) as follows:
+| Y := |X|
+| sgn := sign(X)
+| sgnFact := sgn * 2**(16380)
+| Y' := Y - 16381 log2
+| sinh(X) := sgnFact * exp(Y').
+| Exit.
+|
+| 5. (|X| > 16480 log2) sinh(X) must overflow. Return
+| sign(X)*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+| THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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.
+
+|SSINH idnt 2,1 | Motorola 040 Floating Point Software Package
+
+ |section 8
+
+T1: .long 0x40C62D38,0xD3D64634 | ... 16381 LOG2 LEAD
+T2: .long 0x3D6F90AE,0xB1E75CC7 | ... 16381 LOG2 TRAIL
+
+ |xref t_frcinx
+ |xref t_ovfl
+ |xref t_extdnrm
+ |xref setox
+ |xref setoxm1
+
+ .global ssinhd
+ssinhd:
+|--SINH(X) = X FOR DENORMALIZED X
+
+ bra t_extdnrm
+
+ .global ssinh
+ssinh:
+ fmovex (%a0),%fp0 | ...LOAD INPUT
+
+ movel (%a0),%d0
+ movew 4(%a0),%d0
+ movel %d0,%a1 | save a copy of original (compacted) operand
+ andl #0x7FFFFFFF,%d0
+ cmpl #0x400CB167,%d0
+ bgts SINHBIG
+
+|--THIS IS THE USUAL CASE, |X| < 16380 LOG2
+|--Y = |X|, Z = EXPM1(Y), SINH(X) = SIGN(X)*(1/2)*( Z + Z/(1+Z) )
+
+ fabsx %fp0 | ...Y = |X|
+
+ moveml %a1/%d1,-(%sp)
+ fmovemx %fp0-%fp0,(%a0)
+ clrl %d1
+ bsr setoxm1 | ...FP0 IS Z = EXPM1(Y)
+ fmovel #0,%fpcr
+ moveml (%sp)+,%a1/%d1
+
+ fmovex %fp0,%fp1
+ fadds #0x3F800000,%fp1 | ...1+Z
+ fmovex %fp0,-(%sp)
+ fdivx %fp1,%fp0 | ...Z/(1+Z)
+ movel %a1,%d0
+ andl #0x80000000,%d0
+ orl #0x3F000000,%d0
+ faddx (%sp)+,%fp0
+ movel %d0,-(%sp)
+
+ fmovel %d1,%fpcr
+ fmuls (%sp)+,%fp0 |last fp inst - possible exceptions set
+
+ bra t_frcinx
+
+SINHBIG:
+ cmpl #0x400CB2B3,%d0
+ bgt t_ovfl
+ fabsx %fp0
+ fsubd T1(%pc),%fp0 | ...(|X|-16381LOG2_LEAD)
+ movel #0,-(%sp)
+ movel #0x80000000,-(%sp)
+ movel %a1,%d0
+ andl #0x80000000,%d0
+ orl #0x7FFB0000,%d0
+ movel %d0,-(%sp) | ...EXTENDED FMT
+ fsubd T2(%pc),%fp0 | ...|X| - 16381 LOG2, ACCURATE
+
+ movel %d1,-(%sp)
+ clrl %d1
+ fmovemx %fp0-%fp0,(%a0)
+ bsr setox
+ fmovel (%sp)+,%fpcr
+
+ fmulx (%sp)+,%fp0 |possible exception
+ bra t_frcinx
+
+ |end