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-#include "fpsp-namespace.h"
-//
-//
-// satanh.sa 3.3 12/19/90
-//
-// The entry point satanh computes the inverse
-// hyperbolic tangent of
-// an input argument; satanhd does the same except for denormalized
-// input.
-//
-// Input: Double-extended number X in location pointed to
-// by address register a0.
-//
-// Output: The value arctanh(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 satanh takes approximately 270 cycles.
-//
-// Algorithm:
-//
-// ATANH
-// 1. If |X| >= 1, go to 3.
-//
-// 2. (|X| < 1) Calculate atanh(X) by
-// sgn := sign(X)
-// y := |X|
-// z := 2y/(1-y)
-// atanh(X) := sgn * (1/2) * logp1(z)
-// Exit.
-//
-// 3. If |X| > 1, go to 5.
-//
-// 4. (|X| = 1) Generate infinity with an appropriate sign and
-// divide-by-zero by
-// sgn := sign(X)
-// atan(X) := sgn / (+0).
-// Exit.
-//
-// 5. (|X| > 1) Generate an invalid operation by 0 * infinity.
-// 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-// THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA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.
-
-//satanh idnt 2,1 | Motorola 040 Floating Point Software Package
-
- |section 8
-
- |xref t_dz
- |xref t_operr
- |xref t_frcinx
- |xref t_extdnrm
- |xref slognp1
-
- .global satanhd
-satanhd:
-//--ATANH(X) = X FOR DENORMALIZED X
-
- bra t_extdnrm
-
- .global satanh
-satanh:
- movel (%a0),%d0
- movew 4(%a0),%d0
- andil #0x7FFFFFFF,%d0
- cmpil #0x3FFF8000,%d0
- bges ATANHBIG
-
-//--THIS IS THE USUAL CASE, |X| < 1
-//--Y = |X|, Z = 2Y/(1-Y), ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z).
-
- fabsx (%a0),%fp0 // ...Y = |X|
- fmovex %fp0,%fp1
- fnegx %fp1 // ...-Y
- faddx %fp0,%fp0 // ...2Y
- fadds #0x3F800000,%fp1 // ...1-Y
- fdivx %fp1,%fp0 // ...2Y/(1-Y)
- movel (%a0),%d0
- andil #0x80000000,%d0
- oril #0x3F000000,%d0 // ...SIGN(X)*HALF
- movel %d0,-(%sp)
-
- fmovemx %fp0-%fp0,(%a0) // ...overwrite input
- movel %d1,-(%sp)
- clrl %d1
- bsr slognp1 // ...LOG1P(Z)
- fmovel (%sp)+,%fpcr
- fmuls (%sp)+,%fp0
- bra t_frcinx
-
-ATANHBIG:
- fabsx (%a0),%fp0 // ...|X|
- fcmps #0x3F800000,%fp0
- fbgt t_operr
- bra t_dz
-
- |end