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Diffstat (limited to 'c/src/lib/libcpu/m68k/m68040/fpsp/ssinh.S')
| -rw-r--r-- | c/src/lib/libcpu/m68k/m68040/fpsp/ssinh.S | 137 |
1 files changed, 137 insertions, 0 deletions
diff --git a/c/src/lib/libcpu/m68k/m68040/fpsp/ssinh.S b/c/src/lib/libcpu/m68k/m68040/fpsp/ssinh.S new file mode 100644 index 0000000000..52af339319 --- /dev/null +++ b/c/src/lib/libcpu/m68k/m68040/fpsp/ssinh.S @@ -0,0 +1,137 @@ +// +// $Id$ +// +// 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 +// + +// Copyright (C) Motorola, Inc. 1990 +// All Rights Reserved +// +// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA +// The copyright notice above does not evidence any +// actual or intended publication of such source code.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 |