Update.

2001-02-19  Ulrich Drepper  <drepper@redhat.com>

	* libio/iogetline.c: Move return until after last statement.

	* localedata/show-ucs-data.c: Don't show < > for better readability.

	* sysdeps/ia64/fpu/Dist: New file.
	* sysdeps/ia64/fpu/Makefile: New file.
	* sysdeps/ia64/fpu/Versions: New file.
	* sysdeps/ia64/fpu/e_acos.S: New file.
	* sysdeps/ia64/fpu/e_acosf.S: New file.
	* sysdeps/ia64/fpu/e_acosl.S: New file.
	* sysdeps/ia64/fpu/e_asin.S: New file.
	* sysdeps/ia64/fpu/e_asinf.S: New file.
	* sysdeps/ia64/fpu/e_asinl.S: New file.
	* sysdeps/ia64/fpu/e_atan2.S: New file.
	* sysdeps/ia64/fpu/e_atan2f.S: New file.
	* sysdeps/ia64/fpu/e_atan2l.c: New file.
	* sysdeps/ia64/fpu/e_cosh.S: New file.
	* sysdeps/ia64/fpu/e_coshf.S: New file.
	* sysdeps/ia64/fpu/e_coshl.S: New file.
	* sysdeps/ia64/fpu/e_exp.S: New file.
	* sysdeps/ia64/fpu/e_expf.S: New file.
	* sysdeps/ia64/fpu/e_expl.c: New file.
	* sysdeps/ia64/fpu/e_fmod.S: New file.
	* sysdeps/ia64/fpu/e_fmodf.S: New file.
	* sysdeps/ia64/fpu/e_fmodl.S: New file.
	* sysdeps/ia64/fpu/e_hypot.S: New file.
	* sysdeps/ia64/fpu/e_hypotf.S: New file.
	* sysdeps/ia64/fpu/e_hypotl.S: New file.
	* sysdeps/ia64/fpu/e_log.S: New file.
	* sysdeps/ia64/fpu/e_log10.c: New file.
	* sysdeps/ia64/fpu/e_log10f.c: New file.
	* sysdeps/ia64/fpu/e_log10l.c: New file.
	* sysdeps/ia64/fpu/e_logf.S: New file.
	* sysdeps/ia64/fpu/e_logl.c: New file.
	* sysdeps/ia64/fpu/e_pow.S: New file.
	* sysdeps/ia64/fpu/e_powf.S: New file.
	* sysdeps/ia64/fpu/e_powl.S: New file.
	* sysdeps/ia64/fpu/e_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/e_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/e_remainder.S: New file.
	* sysdeps/ia64/fpu/e_remainderf.S: New file.
	* sysdeps/ia64/fpu/e_remainderl.S: New file.
	* sysdeps/ia64/fpu/e_scalb.S: New file.
	* sysdeps/ia64/fpu/e_scalbf.S: New file.
	* sysdeps/ia64/fpu/e_scalbl.S: New file.
	* sysdeps/ia64/fpu/e_sinh.S: New file.
	* sysdeps/ia64/fpu/e_sinhf.S: New file.
	* sysdeps/ia64/fpu/e_sinhl.S: New file.
	* sysdeps/ia64/fpu/e_sqrt.S: New file.
	* sysdeps/ia64/fpu/e_sqrtf.S: New file.
	* sysdeps/ia64/fpu/e_sqrtl.S: New file.
	* sysdeps/ia64/fpu/k_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2l.c: New file.
	* sysdeps/ia64/fpu/libm_atan2_reg.S: New file.
	* sysdeps/ia64/fpu/libm_error.c: New file.
	* sysdeps/ia64/fpu/libm_frexp4.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4f.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4l.S: New file.
	* sysdeps/ia64/fpu/libm_reduce.S: New file.
	* sysdeps/ia64/fpu/libm_support.h: New file.
	* sysdeps/ia64/fpu/libm_tan.S: New file.
	* sysdeps/ia64/fpu/s_atan.S: New file.
	* sysdeps/ia64/fpu/s_atanf.S: New file.
	* sysdeps/ia64/fpu/s_atanl.S: New file.
	* sysdeps/ia64/fpu/s_cbrt.S: New file.
	* sysdeps/ia64/fpu/s_cbrtf.S: New file.
	* sysdeps/ia64/fpu/s_cbrtl.S: New file.
	* sysdeps/ia64/fpu/s_ceil.S: New file.
	* sysdeps/ia64/fpu/s_ceilf.S: New file.
	* sysdeps/ia64/fpu/s_ceill.S: New file.
	* sysdeps/ia64/fpu/s_cos.S: New file.
	* sysdeps/ia64/fpu/s_cosf.S: New file.
	* sysdeps/ia64/fpu/s_cosl.S: New file.
	* sysdeps/ia64/fpu/s_expm1.S: New file.
	* sysdeps/ia64/fpu/s_expm1f.S: New file.
	* sysdeps/ia64/fpu/s_expm1l.S: New file.
	* sysdeps/ia64/fpu/s_floor.S: New file.
	* sysdeps/ia64/fpu/s_floorf.S: New file.
	* sysdeps/ia64/fpu/s_floorl.S: New file.
	* sysdeps/ia64/fpu/s_frexp.c: New file.
	* sysdeps/ia64/fpu/s_frexpf.c: New file.
	* sysdeps/ia64/fpu/s_frexpl.c: New file.
	* sysdeps/ia64/fpu/s_ilogb.S: New file.
	* sysdeps/ia64/fpu/s_ilogbf.S: New file.
	* sysdeps/ia64/fpu/s_ilogbl.S: New file.
	* sysdeps/ia64/fpu/s_ldexp.S: New file.
	* sysdeps/ia64/fpu/s_ldexpf.S: New file.
	* sysdeps/ia64/fpu/s_ldexpl.S: New file.
	* sysdeps/ia64/fpu/s_log1p.S: New file.
	* sysdeps/ia64/fpu/s_log1pf.S: New file.
	* sysdeps/ia64/fpu/s_log1pl.S: New file.
	* sysdeps/ia64/fpu/s_logb.S: New file.
	* sysdeps/ia64/fpu/s_logbf.S: New file.
	* sysdeps/ia64/fpu/s_logbl.S: New file.
	* sysdeps/ia64/fpu/s_matherrf.c: New file.
	* sysdeps/ia64/fpu/s_matherrl.c: New file.
	* sysdeps/ia64/fpu/s_modf.S: New file.
	* sysdeps/ia64/fpu/s_modff.S: New file.
	* sysdeps/ia64/fpu/s_modfl.S: New file.
	* sysdeps/ia64/fpu/s_nearbyint.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintf.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintl.S: New file.
	* sysdeps/ia64/fpu/s_rint.S: New file.
	* sysdeps/ia64/fpu/s_rintf.S: New file.
	* sysdeps/ia64/fpu/s_rintl.S: New file.
	* sysdeps/ia64/fpu/s_round.S: New file.
	* sysdeps/ia64/fpu/s_roundf.S: New file.
	* sysdeps/ia64/fpu/s_roundl.S: New file.
	* sysdeps/ia64/fpu/s_scalbn.S: New file.
	* sysdeps/ia64/fpu/s_scalbnf.S: New file.
	* sysdeps/ia64/fpu/s_scalbnl.S: New file.
	* sysdeps/ia64/fpu/s_significand.S: New file.
	* sysdeps/ia64/fpu/s_significandf.S: New file.
	* sysdeps/ia64/fpu/s_significandl.S: New file.
	* sysdeps/ia64/fpu/s_sin.c: New file.
	* sysdeps/ia64/fpu/s_sincos.c: New file.
	* sysdeps/ia64/fpu/s_sincosf.c: New file.
	* sysdeps/ia64/fpu/s_sincosl.c: New file.
	* sysdeps/ia64/fpu/s_sinf.c: New file.
	* sysdeps/ia64/fpu/s_sinl.c: New file.
	* sysdeps/ia64/fpu/s_tan.S: New file.
	* sysdeps/ia64/fpu/s_tanf.S: New file.
	* sysdeps/ia64/fpu/s_tanl.S: New file.
	* sysdeps/ia64/fpu/s_trunc.S: New file.
	* sysdeps/ia64/fpu/s_truncf.S: New file.
	* sysdeps/ia64/fpu/s_truncl.S: New file.
	* sysdeps/ia64/fpu/w_acos.c: New file.
	* sysdeps/ia64/fpu/w_acosf.c: New file.
	* sysdeps/ia64/fpu/w_acosl.c: New file.
	* sysdeps/ia64/fpu/w_asin.c: New file.
	* sysdeps/ia64/fpu/w_asinf.c: New file.
	* sysdeps/ia64/fpu/w_asinl.c: New file.
	* sysdeps/ia64/fpu/w_atan2.c: New file.
	* sysdeps/ia64/fpu/w_atan2f.c: New file.
	* sysdeps/ia64/fpu/w_atan2l.c: New file.
	* sysdeps/ia64/fpu/w_cosh.c: New file.
	* sysdeps/ia64/fpu/w_coshf.c: New file.
	* sysdeps/ia64/fpu/w_coshl.c: New file.
	* sysdeps/ia64/fpu/w_exp.c: New file.
	* sysdeps/ia64/fpu/w_expf.c: New file.
	* sysdeps/ia64/fpu/w_fmod.c: New file.
	* sysdeps/ia64/fpu/w_fmodf.c: New file.
	* sysdeps/ia64/fpu/w_fmodl.c: New file.
	* sysdeps/ia64/fpu/w_hypot.c: New file.
	* sysdeps/ia64/fpu/w_hypotf.c: New file.
	* sysdeps/ia64/fpu/w_hypotl.c: New file.
	* sysdeps/ia64/fpu/w_log.c: New file.
	* sysdeps/ia64/fpu/w_log10.c: New file.
	* sysdeps/ia64/fpu/w_log10f.c: New file.
	* sysdeps/ia64/fpu/w_log10l.c: New file.
	* sysdeps/ia64/fpu/w_logf.c: New file.
	* sysdeps/ia64/fpu/w_logl.c: New file.
	* sysdeps/ia64/fpu/w_pow.c: New file.
	* sysdeps/ia64/fpu/w_powf.c: New file.
	* sysdeps/ia64/fpu/w_powl.c: New file.
	* sysdeps/ia64/fpu/w_remainder.c: New file.
	* sysdeps/ia64/fpu/w_remainderf.c: New file.
	* sysdeps/ia64/fpu/w_remainderl.c: New file.
	* sysdeps/ia64/fpu/w_scalb.c: New file.
	* sysdeps/ia64/fpu/w_scalbf.c: New file.
	* sysdeps/ia64/fpu/w_scalbl.c: New file.
	* sysdeps/ia64/fpu/w_sqrt.c: New file.
	* sysdeps/ia64/fpu/w_sqrtf.c: New file.
	* sysdeps/ia64/fpu/w_sqrtl.c: New file.
	* sysdeps/ia64/fpu/libm-test-ulps: Adjust for long double
	implementation.
	* sysdeps/ia64/fpu/bits/mathdef.h: Correct float_t and double_t types.
	Change FP_ILOGBNAN for new implementation.
	* Verions.def: Add 2.2.3 versions.

1 files changed, 1603 insertions, 0 deletions

diff --git a/sysdeps/ia64/fpu/s_expm1l.S b/sysdeps/ia64/fpu/s_expm1l.S
new file mode 100644
index 0000000000..a31910af5c
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_expm1l.S
@@ -0,0 +1,1603 @@
+.file "exp_m1l.s"
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+// 
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// 
+// WARRANTY DISCLAIMER
+// 
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://developer.intel.com/opensource.
+//
+// History
+//==============================================================
+// 4/04/00  Unwind support added
+// 8/15/00  Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+//
+// ********************************************************************* 
+//
+// Function:   Combined expl(x) and expm1l(x), where
+//                        x 
+//             expl(x) = e , for double-extended precision x values
+//                          x
+//             expm1l(x) = e  - 1  for double-extended precision x values
+//
+// ********************************************************************* 
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8  (Input and Return Value) 
+//                              f9,f32-f61, f99-f102 
+//
+//    General Purpose Registers: 
+//      r32-r61
+//      r62-r65 (Used to pass arguments to error handling routine)
+//                                     
+//    Predicate Registers:      p6-p15
+//
+// ********************************************************************* 
+//
+// IEEE Special Conditions:
+//
+//    Denormal  fault raised on denormal inputs  
+//    Overflow exceptions raised when appropriate for exp and expm1
+//    Underflow exceptions raised when appropriate for exp and expm1
+//    (Error Handling Routine called for overflow and Underflow)
+//    Inexact raised when appropriate by algorithm 
+//
+//    expl(inf) = inf
+//    expl(-inf) = +0
+//    expl(SNaN) = QNaN
+//    expl(QNaN) = QNaN
+//    expl(0) = 1
+//    expl(EM_special Values) = QNaN
+//    expl(inf) = inf
+//    expm1l(-inf) = -1 
+//    expm1l(SNaN) = QNaN
+//    expm1l(QNaN) = QNaN
+//    expm1l(0) = 0
+//    expm1l(EM_special Values) = QNaN
+//    
+// ********************************************************************* 
+//
+// Implementation and Algorithm Notes:
+//
+//  ker_exp_64( in_FR  : X,
+//            in_GR  : Flag,
+//            in_GR  : Expo_Range
+//            out_FR : Y_hi,
+//            out_FR : Y_lo,
+//            out_FR : scale,
+//            out_PR : Safe )
+//
+// On input, X is in register format and 
+// Flag  = 0 for exp,
+// Flag  = 1 for expm1,
+//
+// On output, provided X and X_cor are real numbers, then
+//
+//   scale*(Y_hi + Y_lo)  approximates  expl(X)       if Flag is 0
+//   scale*(Y_hi + Y_lo)  approximates  expl(X)-1     if Flag is 1
+//
+// The accuracy is sufficient for a highly accurate 64 sig.
+// bit implementation.  Safe is set if there is no danger of 
+// overflow/underflow when the result is composed from scale, 
+// Y_hi and Y_lo. Thus, we can have a fast return if Safe is set. 
+// Otherwise, one must prepare to handle the possible exception 
+// appropriately.  Note that SAFE not set (false) does not mean 
+// that overflow/underflow will occur; only the setting of SAFE
+// guarantees the opposite.
+//
+// **** High Level Overview **** 
+//
+// The method consists of three cases.
+// 
+// If           |X| < Tiny	use case exp_tiny;
+// else if	|X| < 2^(-6)	use case exp_small;
+// else		use case exp_regular;
+//
+// Case exp_tiny:
+//
+//   1 + X     can be used to approximate expl(X) or expl(X+X_cor);
+//   X + X^2/2 can be used to approximate expl(X) - 1
+//
+// Case exp_small:
+//
+//   Here, expl(X), expl(X+X_cor), and expl(X) - 1 can all be 
+//   appproximated by a relatively simple polynomial.
+//
+//   This polynomial resembles the truncated Taylor series
+//
+//	expl(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
+//
+// Case exp_regular:
+//
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute expl(X), we accurately decompose X into
+//
+//   X = N * log(2)/(2^12)  + r,	|r| <= log(2)/2^13.
+//
+//   Hence
+//
+//   expl(X) = 2^( N / 2^12 ) * expl(r).
+//
+//   The value 2^( N / 2^12 ) is obtained by simple combinations
+//   of values calculated beforehand and stored in table; expl(r)
+//   is approximated by a short polynomial because |r| is small.
+//
+//   We elaborate this method in 4 steps.
+//
+//   Step 1: Reduction
+//
+//   The value 2^12/log(2) is stored as a double-extended number
+//   L_Inv.
+//
+//   N := round_to_nearest_integer( X * L_Inv )
+//
+//   The value log(2)/2^12 is stored as two numbers L_hi and L_lo so
+//   that r can be computed accurately via
+//
+//   r := (X - N*L_hi) - N*L_lo
+//
+//   We pick L_hi such that N*L_hi is representable in 64 sig. bits
+//   and thus the FMA   X - N*L_hi   is error free. So r is the 
+//   1 rounding error from an exact reduction with respect to 
+//   
+//   L_hi + L_lo.
+//
+//   In particular, L_hi has 30 significant bit and can be stored
+//   as a double-precision number; L_lo has 64 significant bits and
+//   stored as a double-extended number.
+//
+//   In the case Flag = 2, we further modify r by
+//
+//   r := r + X_cor.
+//
+//   Step 2: Approximation
+//
+//   expl(r) - 1 is approximated by a short polynomial of the form
+//   
+//   r + A_1 r^2 + A_2 r^3 + A_3 r^4 .
+//
+//   Step 3: Composition from Table Values 
+//
+//   The value 2^( N / 2^12 ) can be composed from a couple of tables
+//   of precalculated values. First, express N as three integers
+//   K, M_1, and M_2 as
+//
+//     N  =  K * 2^12  + M_1 * 2^6 + M_2
+//
+//   Where 0 <= M_1, M_2 < 2^6; and K can be positive or negative.
+//   When N is represented in 2's complement, M_2 is simply the 6
+//   lsb's, M_1 is the next 6, and K is simply N shifted right
+//   arithmetically (sign extended) by 12 bits.
+//
+//   Now, 2^( N / 2^12 ) is simply  
+//	
+//      2^K * 2^( M_1 / 2^6 ) * 2^( M_2 / 2^12 )
+//
+//   Clearly, 2^K needs no tabulation. The other two values are less
+//   trivial because if we store each accurately to more than working
+//   precision, than its product is too expensive to calculate. We
+//   use the following method.
+//
+//   Define two mathematical values, delta_1 and delta_2, implicitly
+//   such that
+//
+//     T_1 = expl( [M_1 log(2)/2^6]  -  delta_1 ) 
+//     T_2 = expl( [M_2 log(2)/2^12] -  delta_2 )
+//
+//   are representable as 24 significant bits. To illustrate the idea,
+//   we show how we define delta_1: 
+//
+//     T_1     := round_to_24_bits( expl( M_1 log(2)/2^6 ) )
+//     delta_1  = (M_1 log(2)/2^6) - log( T_1 )  
+//
+//   The last equality means mathematical equality. We then tabulate
+//
+//     W_1 := expl(delta_1) - 1
+//     W_2 := expl(delta_2) - 1
+//
+//   Both in double precision.
+//
+//   From the tabulated values T_1, T_2, W_1, W_2, we compose the values
+//   T and W via
+//
+//     T := T_1 * T_2			...exactly
+//     W := W_1 + (1 + W_1)*W_2	
+//
+//   W approximates expl( delta ) - 1  where delta = delta_1 + delta_2.
+//   The mathematical product of T and (W+1) is an accurate representation
+//   of 2^(M_1/2^6) * 2^(M_2/2^12).
+//
+//   Step 4. Reconstruction
+//
+//   Finally, we can reconstruct expl(X), expl(X) - 1. 
+//   Because
+//
+//	X = K * log(2) + (M_1*log(2)/2^6  - delta_1) 
+//		       + (M_2*log(2)/2^12 - delta_2)
+//		       + delta_1 + delta_2 + r 		...accurately
+//   We have
+//
+//	expl(X) ~=~ 2^K * ( T + T*[expl(delta_1+delta_2+r) - 1] )
+//	       ~=~ 2^K * ( T + T*[expl(delta + r) - 1]         )
+//	       ~=~ 2^K * ( T + T*[(expl(delta)-1)  
+//				 + expl(delta)*(expl(r)-1)]   )
+//             ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) )
+//             ~=~ 2^K * ( Y_hi  +  Y_lo )
+//
+//   where Y_hi = T  and Y_lo = T*(W + (1+W)*poly(r))
+//
+//   For expl(X)-1, we have
+//
+//	expl(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
+//		 ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) )
+//
+//   and we combine Y_hi + Y_lo - 2^(-N)  into the form of two 
+//   numbers  Y_hi + Y_lo carefully.
+//
+//   **** Algorithm Details ****
+//
+//   A careful algorithm must be used to realize the mathematical ideas
+//   accurately. We describe each of the three cases. We assume SAFE
+//   is preset to be TRUE.
+//
+//   Case exp_tiny:
+//
+//   The important points are to ensure an accurate result under 
+//   different rounding directions and a correct setting of the SAFE 
+//   flag.
+//
+//   If Flag is 1, then
+//      SAFE  := False	...possibility of underflow
+//      Scale := 1.0
+//      Y_hi  := X
+//      Y_lo  := 2^(-17000)
+//   Else
+//      Scale := 1.0
+//      Y_hi  := 1.0
+//      Y_lo  := X	...for different rounding modes
+//   Endif
+//
+//   Case exp_small:
+//
+//   Here we compute a simple polynomial. To exploit parallelism, we split
+//   the polynomial into several portions.
+//
+//   Let r = X 
+//
+//   If Flag is not 1	...i.e. expl( argument )
+//
+//      rsq := r * r; 
+//      r4  := rsq*rsq
+//      poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6))
+//      poly_hi := r + rsq*(P_1 + r*P_2)
+//      Y_lo    := poly_hi + r4 * poly_lo
+//      set lsb(Y_lo) to 1
+//      Y_hi    := 1.0
+//      Scale   := 1.0
+//
+//   Else			...i.e. expl( argument ) - 1
+//
+//      rsq := r * r
+//      r4  := rsq * rsq
+//      r6  := rsq * r4
+//      poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7))
+//      poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4))
+//      Y_lo    := rsq*poly_hi +  poly_lo
+//      set lsb(Y_lo) to 1
+//      Y_hi    := X
+//      Scale   := 1.0
+//
+//   Endif
+//
+//  Case exp_regular:
+//
+//  The previous description contain enough information except the
+//  computation of poly and the final Y_hi and Y_lo in the case for
+//  expl(X)-1.
+//
+//  The computation of poly for Step 2:
+//
+//   rsq := r*r
+//   poly := r + rsq*(A_1 + r*(A_2 + r*A_3))
+//
+//  For the case expl(X) - 1, we need to incorporate 2^(-K) into
+//  Y_hi and Y_lo at the end of Step 4.
+//
+//   If K > 10 then
+//      Y_lo := Y_lo - 2^(-K)
+//   Else
+//      If K < -10 then
+//	 Y_lo := Y_hi + Y_lo
+//	 Y_hi := -2^(-K)
+//      Else
+//	 Y_hi := Y_hi - 2^(-K)
+//      End If
+//   End If
+//
+
+#include "libm_support.h"
+
+#ifdef _LIBC
+.rodata
+#else
+.data
+#endif
+
+.align 64 
+Constants_exp_64_Arg:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object)
+data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 
+data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000
+data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000
+// /* Inv_L, L_hi, L_lo */
+ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg)
+
+.align 64 
+Constants_exp_64_Exponents:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object)
+data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF
+data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF
+data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
+data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
+data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF
+data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF
+ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents)
+
+.align 64 
+Constants_exp_64_A:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object)
+data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000
+data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000
+data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000
+// /* Reversed */
+ASM_SIZE_DIRECTIVE(Constants_exp_64_A)
+
+.align 64 
+Constants_exp_64_P:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object)
+data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000
+data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000
+data4 0x7474C518,0x88888888,0x00003FF8,0x00000000
+data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000
+data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000
+data4 0x000004C7,0x80000000,0x00003FFE,0x00000000 
+// /* Reversed */
+ASM_SIZE_DIRECTIVE(Constants_exp_64_P)
+
+.align 64 
+Constants_exp_64_Q:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_Q,@object)
+data4 0xA49EF6CA,0xD00D56F7,0x00003FEF,0x00000000
+data4 0x1C63493D,0xD00D59AB,0x00003FF2,0x00000000
+data4 0xFB50CDD2,0xB60B60B5,0x00003FF5,0x00000000
+data4 0x7BA68DC8,0x88888888,0x00003FF8,0x00000000
+data4 0xAAAAAC8D,0xAAAAAAAA,0x00003FFA,0x00000000
+data4 0xAAAAACCA,0xAAAAAAAA,0x00003FFC,0x00000000
+data4 0x00000000,0x80000000,0x00003FFE,0x00000000 
+// /* Reversed */
+ASM_SIZE_DIRECTIVE(Constants_exp_64_Q)
+
+.align 64 
+Constants_exp_64_T1:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object)
+data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
+data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
+data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
+data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
+data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
+data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516
+data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A
+data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4
+data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B
+data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD
+data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15
+data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B
+data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
+data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
+data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
+data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
+ASM_SIZE_DIRECTIVE(Constants_exp_64_T1)
+
+.align 64 
+Constants_exp_64_T2:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object)
+data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
+data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
+data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
+data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
+data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
+data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
+data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
+data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
+data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
+data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
+data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
+data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
+data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
+data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
+data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
+data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
+ASM_SIZE_DIRECTIVE(Constants_exp_64_T2)
+
+.align 64 
+Constants_exp_64_W1:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object)
+data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454
+data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6
+data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA
+data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50
+data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2
+data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE
+data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B
+data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04
+data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419
+data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376
+data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A 
+data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB 
+data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E 
+data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA 
+data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 
+data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B 
+data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 
+data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 
+data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 
+data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 
+data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB 
+data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643  
+data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C 
+data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D 
+data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 
+data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F 
+data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 
+data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 
+data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC 
+data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB 
+data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB 
+data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148 
+ASM_SIZE_DIRECTIVE(Constants_exp_64_W1)
+
+.align 64 
+Constants_exp_64_W2:
+ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object)
+data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 
+data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 
+data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A 
+data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E 
+data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 
+data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 
+data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 
+data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 
+data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 
+data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D 
+data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 
+data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 
+data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 
+data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F 
+data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 
+data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 
+data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D 
+data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030  
+data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 
+data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED 
+data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B 
+data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 
+data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 
+data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C 
+data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 
+data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE 
+data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 
+data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 
+data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 
+data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 
+data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE 
+data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9
+ASM_SIZE_DIRECTIVE(Constants_exp_64_W2)
+
+GR_SAVE_PFS         = r59
+GR_SAVE_B0          = r60
+GR_SAVE_GP          = r61
+GR_Parameter_X      = r62
+GR_Parameter_Y      = r63
+GR_Parameter_RESULT = r64
+GR_Parameter_TAG    = r65 
+
+FR_X                = f9
+FR_Y                = f9
+FR_RESULT           = f99
+
+.section .text
+.proc expm1l#
+.global expm1l#
+.align 64 
+expm1l: 
+#ifdef _LIBC
+.global __expm1l#
+__expm1l:
+#endif
+{ .mii
+alloc r32 = ar.pfs,0,30,4,0
+(p0)  add r33 = 1, r0  
+(p0)  cmp.eq.unc  p7, p0 =  r0, r0 
+}
+{ .mbb
+	nop.m 999
+(p0)  br.cond.sptk exp_continue 
+	nop.b 999 ;;
+}
+
+//
+//    Set p7 true for expm1
+//    Set Flag = r33 = 1 for expm1
+//    
+
+.endp expm1l
+ASM_SIZE_DIRECTIVE(expm1l)
+
+.section .text
+.proc expl#
+.global expl#
+.align 64 
+expl: 
+#ifdef _LIBC
+.global __ieee754_expl#
+__ieee754_expl:
+#endif
+{ .mii
+alloc r32 = ar.pfs,0,30,4,0
+(p0)  add r33 = r0, r0  
+(p0)  cmp.eq.unc  p0, p7 =  r0, r0 ;; 
+}
+exp_continue: 
+{ .mfi
+(p0)  add r32 = 2,r0  
+(p0)  fnorm.s1 f9 = f8 
+      nop.i 0
+}
+{ .mfi
+(p0)  nop.m 0 
+//
+//    Set p7 false for exp
+//    Set Flag = r33 = 0 for exp
+//    
+(p0)  fclass.m.unc p6, p8 =  f8, 0x1E7 
+      nop.i 0;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fclass.nm.unc p9, p0 =  f8, 0x1FF 
+      nop.i 0
+}
+{ .mfi
+	nop.m 999
+(p0)  mov f36 = f1 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+//     
+//    Identify NatVals, NaNs, Infs, and Zeros. 
+//    Identify EM unsupporteds. 
+//    Save special input registers 
+(p0)  mov f32 = f0 
+//
+//    Create FR_X_cor      = 0.0 
+//           GR_Flag       = 0 
+//           GR_Expo_Range = 2 (r32) for double-extended precision 
+//           FR_Scale      = 1.0
+//
+(p6)  br.cond.spnt EXPL_64_SPECIAL ;; 
+}
+{ .mib
+	nop.m 999
+	nop.i 999
+(p9)  br.cond.spnt EXPL_64_UNSUPPORTED ;; 
+}
+{ .mfi
+(p0)  cmp.ne.unc p12, p13 = 0x01, r33
+//     
+//    Branch out for special input values 
+//     
+(p0)  fcmp.lt.unc.s0 p9,p0 =  f8, f0 
+(p0)  cmp.eq.unc  p15, p0 =  r0, r0 
+}
+{ .mmi
+	nop.m 999
+//     
+//    Raise possible denormal operand exception 
+//    Normalize x 
+//     
+//    This function computes expl( x  + x_cor) 
+//    Input  FR 1: FR_X            
+//    Input  FR 2: FR_X_cor  
+//    Input  GR 1: GR_Flag  
+//    Input  GR 2: GR_Expo_Range  
+//    Output FR 3: FR_Y_hi  
+//    Output FR 4: FR_Y_lo  
+//    Output FR 5: FR_Scale  
+//    Output PR 1: PR_Safe  
+(p0)  addl r34 = @ltoff(Constants_exp_64_Arg#),gp  
+(p0)  addl r40 = @ltoff(Constants_exp_64_W1#),gp 
+};;
+//
+//    Prepare to load constants
+//    Set Safe = True
+//
+
+{ .mmi
+      ld8  r34 = [r34]
+      ld8  r40 = [r40]
+(p0)  addl r41 = @ltoff(Constants_exp_64_W2#),gp  
+};;
+
+{ .mmi
+(p0)  ldfe f37 = [r34],16 
+(p0)  ld8 r41 = [r41] ;; 
+}
+
+//
+//    N = fcvt.fx(float_N)
+//    Set p14 if -6 > expo_X 
+//
+//
+//    Bias = 0x0FFFF
+//    expo_X = expo_X and Mask  
+//
+
+{ .mmi
+(p0)  ldfe f40 = [r34],16 
+      nop.m 999
+//
+//    Load L_lo
+//    Set p10 if 14 < expo_X 
+//
+(p0)  addl r50 = @ltoff(Constants_exp_64_T1#),gp 
+}
+{ .mmi
+	nop.m 999
+	nop.m 999
+(p0)  addl r51 = @ltoff(Constants_exp_64_T2#),gp ;; 
+}
+//
+//    Load W2_ptr
+//    Branch to SMALL is expo_X < -6
+//
+
+{.mmi
+(p0)  ld8 r50 = [r50]  
+(p0)  ld8 r51 = [r51]  
+};;
+
+{ .mlx
+(p0)  ldfe f41 = [r34],16 
+//
+//    float_N = X * L_Inv
+//    expo_X = exponent of X
+//    Mask = 0x1FFFF
+//
+(p0)  movl r58 = 0x0FFFF 
+}
+{ .mlx
+	nop.m 999
+(p0)  movl r39 = 0x1FFFF ;; 
+}
+{ .mmi
+(p0)  getf.exp r37 = f9 
+	nop.m 999
+(p0)  addl r34 = @ltoff(Constants_exp_64_Exponents#),gp ;; 
+}
+{ .mii
+(p0)  ld8 r34 = [r34]  
+      nop.i 999 
+(p0)  and  r37 = r37, r39 ;;  
+}
+{ .mmi
+(p0)  sub r37 = r37, r58 ;;  
+(p0)  cmp.gt.unc  p14, p0 =  -6, r37 
+(p0)  cmp.lt.unc  p10, p0 =  14, r37 ;; 
+}
+{ .mfi
+(p0)  nop.m 0  
+//
+//    Load L_inv 
+//    Set p12 true for Flag = 0 (exp)
+//    Set p13 true for Flag = 1 (expm1)
+//
+(p0)  fmpy.s1 f38 = f9, f37 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+//
+//    Load L_hi
+//    expo_X = expo_X - Bias
+//    get W1_ptr      
+//
+(p0)  fcvt.fx.s1 f39 = f38
+(p14) br.cond.spnt EXPL_SMALL ;; 
+}
+{ .mib
+	nop.m 999
+	nop.i 999
+(p10) br.cond.spnt EXPL_HUGE ;; 
+}
+{ .mmi
+(p0)  shladd r34 = r32,4,r34 
+      nop.m 999
+(p0)  addl r35 = @ltoff(Constants_exp_64_A#),gp ;; 
+}
+//
+//    Load T_1,T_2
+//
+{ .mmi
+   nop.m 999
+   ld8   r35 =[r35]
+   nop.i 99
+};;
+{ .mmb
+(p0)  ldfe f51 = [r35],16 
+(p0)  ld8 r45 = [r34],8
+	nop.b 999 ;;
+}
+//    
+//    Set Safe = True  if k >= big_expo_neg  
+//    Set Safe = False if k < big_expo_neg  
+//    
+{ .mmb
+(p0)  ldfe f49 = [r35],16 
+(p0)  ld8 r48 = [r34],0
+	nop.b 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Branch to HUGE is expo_X > 14 
+//
+(p0)  fcvt.xf f38 = f39 
+	nop.i 999 ;;
+}
+{ .mfi
+(p0)  getf.sig r52 = f39 
+	nop.f 999
+	nop.i 999 ;;
+}
+{ .mii
+	nop.m 999
+(p0)  extr.u r43 = r52, 6, 6 ;;  
+//
+//    r = r - float_N * L_lo
+//    K = extr(N_fix,12,52)
+//
+(p0)  shladd r40 = r43,3,r40 ;; 
+}
+{ .mfi
+(p0)  shladd r50 = r43,2,r50 
+(p0)  fnma.s1 f42 = f40, f38, f9 
+//
+//    float_N = float(N)
+//    N_fix = signficand N 
+//
+(p0)  extr.u r42 = r52, 0, 6  
+}
+{ .mmi
+(p0)  ldfd  f43 = [r40],0 ;; 
+(p0)  shladd r41 = r42,3,r41 
+(p0)  shladd r51 = r42,2,r51 
+}
+//
+//    W_1_p1 = 1 + W_1
+//
+{ .mmi
+(p0)  ldfs  f44 = [r50],0 ;; 
+(p0)  ldfd  f45 = [r41],0 
+//
+//    M_2 = extr(N_fix,0,6)
+//    M_1 = extr(N_fix,6,6)
+//    r = X - float_N * L_hi
+//
+(p0)  extr r44 = r52, 12, 52  
+}
+{ .mmi
+(p0)  ldfs  f46 = [r51],0 ;; 
+(p0)  sub r46 = r58, r44  
+(p0)  cmp.gt.unc  p8, p15 =  r44, r45 
+}
+//    
+//    W = W_1 + W_1_p1*W_2 
+//    Load  A_2 
+//    Bias_m_K = Bias - K
+//
+{ .mii
+(p0)  ldfe f40 = [r35],16 
+//
+//    load A_1
+//    poly = A_2 + r*A_3 
+//    rsq = r * r  
+//    neg_2_mK = exponent of Bias_m_k
+//
+(p0)  add r47 = r58, r44 ;;  
+//    
+//    Set Safe = True  if k <= big_expo_pos  
+//    Set Safe = False  if k >  big_expo_pos  
+//    Load A_3
+//    
+(p15) cmp.lt p8,p15 = r44,r48 ;;
+}
+{ .mmf
+(p0)  setf.exp f61 = r46 
+//    
+//    Bias_p + K = Bias + K
+//    T = T_1 * T_2
+//    
+(p0)  setf.exp f36 = r47 
+(p0)  fnma.s1 f42 = f41, f38, f42 ;; 
+}
+{ .mfi
+	nop.m 999
+//
+//    Load W_1,W_2
+//    Load big_exp_pos, load big_exp_neg
+//
+(p0)  fadd.s1 f47 = f43, f1 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fma.s1 f52 = f42, f51, f49 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fmpy.s1 f48 = f42, f42 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fmpy.s1 f53 = f44, f46 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fma.s1 f54 = f45, f47, f43 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fneg f61 =  f61 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fma.s1 f52 = f42, f52, f40 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fadd.s1 f55 = f54, f1 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+//
+//    W + Wp1 * poly     
+// 
+(p0)  mov f34 = f53 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    A_1 + r * poly 
+//    Scale = setf_expl(Bias_p_k) 
+//
+(p0)  fma.s1 f52 = f48, f52, f42 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    poly = r + rsq(A_1 + r*poly) 
+//    Wp1 = 1 + W
+//    neg_2_mK = -neg_2_mK
+//
+(p0)  fma.s1 f35 = f55, f52, f54
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+(p0)  fmpy.s1 f35 = f35, f53 
+//   
+//    Y_hi = T
+//    Y_lo = T * (W + Wp1*poly)
+//
+(p12) br.cond.sptk EXPL_MAIN ;; 
+}
+//
+//    Branch if expl(x)  
+//    Continue for expl(x-1)
+//
+{ .mii
+(p0)  cmp.lt.unc  p12, p13 =  10, r44 
+	nop.i 999 ;;
+//
+//    Set p12 if 10 < K, Else p13 
+//
+(p13) cmp.gt.unc  p13, p14 =  -10, r44 ;; 
+}
+//
+//    K > 10:  Y_lo = Y_lo + neg_2_mK
+//    K <=10:  Set p13 if -10 > K, Else set p14 
+//
+{ .mfi
+(p13) cmp.eq  p15, p0 =  r0, r0 
+(p14) fadd.s1 f34 = f61, f34 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) fadd.s1 f35 = f35, f61 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p13) fadd.s1 f35 = f35, f34 
+	nop.i 999
+}
+{ .mfb
+	nop.m 999
+//
+//    K <= 10 and K < -10, Set Safe = True
+//    K <= 10 and K < 10,   Y_lo = Y_hi + Y_lo 
+//    K <= 10 and K > =-10, Y_hi = Y_hi + neg_2_mk 
+// 
+(p13) mov f34 = f61 
+(p0)  br.cond.sptk EXPL_MAIN ;; 
+}
+EXPL_SMALL: 
+{ .mmi
+      nop.m 999
+(p0)  addl r34 = @ltoff(Constants_exp_64_Exponents#),gp  
+(p12) addl r35 = @ltoff(Constants_exp_64_P#),gp ;; 
+}
+.pred.rel "mutex",p12,p13
+{ .mmi
+(p12) ld8  r35=[r35]      
+nop.m 999
+(p13) addl r35 = @ltoff(Constants_exp_64_Q#),gp 
+};;
+{ .mmi
+(p13) ld8  r35=[r35]      
+(p0) ld8  r34=[r34]      
+nop.i 999
+};;
+{ .mfi
+(p0)  add r34 = 0x48,r34  
+// 
+//    Return
+//    K <= 10 and K < 10,   Y_hi = neg_2_mk 
+// 
+//    /*******************************************************/
+//    /*********** Branch EXPL_SMALL  ************************/
+//    /*******************************************************/
+(p0)  mov f42 = f9 
+	nop.i 999 ;;
+}
+//
+//    Flag = 0
+//    r4 = rsq * rsq
+//
+{ .mfi
+(p0)  ld8 r49 =[r34],0
+	nop.f 999
+	nop.i 999 ;;
+}
+{ .mii
+	nop.m 999
+	nop.i 999 ;;
+//
+//    Flag = 1
+//
+(p0)  cmp.lt.unc  p14, p0 =  r37, r49 ;; 
+}
+{ .mfi
+	nop.m 999
+//
+//    r = X
+//
+(p0)  fmpy.s1 f48 = f42, f42 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+//
+//    rsq = r * r
+//
+(p0)  fmpy.s1 f50 = f48, f48 
+//
+//    Is input very small?
+//
+(p14) br.cond.spnt EXPL_VERY_SMALL ;; 
+}
+//
+//    Flag_not1: Y_hi = 1.0
+//    Flag is 1: r6 = rsq * r4
+//
+{ .mfi
+(p12) ldfe f52 = [r35],16 
+(p12) mov f34 = f1 
+(p0)  add r53 = 0x1,r0 ;;  
+}
+{ .mfi
+(p13) ldfe f51 = [r35],16 
+//
+//    Flag_not_1: Y_lo = poly_hi + r4 * poly_lo
+//
+(p13) mov f34 = f9 
+	nop.i 999 ;;
+}
+{ .mmf
+(p12) ldfe f53 = [r35],16 
+//
+//    For Flag_not_1, Y_hi = X
+//    Scale = 1
+//    Create 0x000...01
+//
+(p0)  setf.sig f37 = r53 
+(p0)  mov f36 = f1 ;; 
+}
+{ .mmi
+(p13) ldfe f52 = [r35],16 ;; 
+(p12) ldfe f54 = [r35],16 
+	nop.i 999 ;;
+}
+{ .mfi
+(p13) ldfe f53 = [r35],16 
+(p13) fmpy.s1 f58 = f48, f50 
+	nop.i 999 ;;
+}
+//
+//    Flag_not1: poly_lo = P_5 + r*P_6
+//    Flag_1: poly_lo = Q_6 + r*Q_7
+//
+{ .mmi
+(p13) ldfe f54 = [r35],16 ;; 
+(p12) ldfe f55 = [r35],16 
+	nop.i 999 ;;
+}
+{ .mmi
+(p12) ldfe f56 = [r35],16 ;; 
+(p13) ldfe f55 = [r35],16 
+	nop.i 999 ;;
+}
+{ .mmi
+(p12) ldfe f57 = [r35],0 ;; 
+(p13) ldfe f56 = [r35],16 
+	nop.i 999 ;;
+}
+{ .mfi
+(p13) ldfe f57 = [r35],0 
+	nop.f 999
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    For  Flag_not_1, load p5,p6,p1,p2
+//    Else load p5,p6,p1,p2
+//
+(p12) fma.s1 f60 = f52, f42, f53 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p13) fma.s1 f60 = f51, f42, f52 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) fma.s1 f60 = f60, f42, f54 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) fma.s1 f59 = f56, f42, f57 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p13) fma.s1 f60 = f42, f60, f53 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) fma.s1 f59 = f59, f48, f42 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Flag_1: poly_lo = Q_5 + r*(Q_6 + r*Q_7) 
+//    Flag_not1: poly_lo = P_4 + r*(P_5 + r*P_6)
+//    Flag_not1: poly_hi = (P_1 + r*P_2)
+//
+(p13) fmpy.s1 f60 = f60, f58 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) fma.s1 f60 = f60, f42, f55 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Flag_1: poly_lo = r6 *(Q_5 + ....)
+//    Flag_not1: poly_hi =  r + rsq *(P_1 + r*P_2)
+//
+(p12) fma.s1 f35 = f60, f50, f59 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p13) fma.s1 f59 = f54, f42, f55 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Flag_not1: Y_lo = rsq* poly_hi + poly_lo 
+//    Flag_1: poly_lo = rsq* poly_hi + poly_lo 
+//
+(p13) fma.s1 f59 = f59, f42, f56 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Flag_not_1: (P_1 + r*P_2) 
+//
+(p13) fma.s1 f59 = f59, f42, f57 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Flag_not_1: poly_hi = r + rsq * (P_1 + r*P_2) 
+//
+(p13) fma.s1 f35 = f59, f48, f60 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Create 0.000...01
+//
+(p0)  for f37 = f35, f37 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+//
+//    Set lsb of Y_lo to 1
+//
+(p0)  fmerge.se f35 = f35,f37 
+(p0)  br.cond.sptk EXPL_MAIN ;; 
+}
+EXPL_VERY_SMALL: 
+{ .mmi
+	nop.m 999
+	nop.m 999
+(p13) addl r34 = @ltoff(Constants_exp_64_Exponents#),gp 
+}
+{ .mfi
+	nop.m 999
+(p12) mov f35 = f9 
+	nop.i 999 ;;
+}
+{ .mfb
+(p13) ld8 r34 = [r34] 
+(p12) mov f34 = f1 
+(p12) br.cond.sptk EXPL_MAIN ;; 
+}
+{ .mlx
+(p13) add  r34 = 8,r34 
+(p13) movl r39 = 0x0FFFE ;; 
+}
+//
+//    Load big_exp_neg 
+//    Create 1/2's exponent
+//
+{ .mii
+(p13) setf.exp f56 = r39 
+(p13) shladd r34 = r32,4,r34 ;;  
+	nop.i 999
+}
+//
+//    Negative exponents are stored after positive
+//
+{ .mfi
+(p13) ld8 r45 = [r34],0
+//
+//    Y_hi = x
+//    Scale = 1
+//
+(p13) fmpy.s1 f35 = f9, f9 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    Reset Safe if necessary 
+//    Create 1/2
+//
+(p13) mov f34 = f9 
+	nop.i 999 ;;
+}
+{ .mfi
+(p13) cmp.lt.unc  p0, p15 =  r37, r45 
+(p13) mov f36 = f1 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+//
+//    Y_lo = x * x
+//
+(p13) fmpy.s1 f35 = f35, f56 
+//
+//    Y_lo = x*x/2 
+//
+(p13) br.cond.sptk EXPL_MAIN ;; 
+}
+EXPL_HUGE: 
+{ .mfi
+	nop.m 999
+(p0)  fcmp.gt.unc.s1 p14, p0 =  f9, f0 
+	nop.i 999
+}
+{ .mlx
+	nop.m 999
+(p0)  movl r39 = 0x15DC0 ;; 
+}
+{ .mfi
+(p14) setf.exp f34 = r39 
+(p14) mov f35 = f1 
+(p14) cmp.eq  p0, p15 =  r0, r0 ;; 
+}
+{ .mfb
+	nop.m 999
+(p14) mov f36 = f34 
+//
+//    If x > 0, Set Safe = False
+//    If x > 0, Y_hi = 2**(24,000)
+//    If x > 0, Y_lo = 1.0
+//    If x > 0, Scale = 2**(24,000)
+//
+(p14) br.cond.sptk EXPL_MAIN ;; 
+}
+{ .mlx
+	nop.m 999
+(p12) movl r39 = 0xA240 
+}
+{ .mlx
+	nop.m 999
+(p12) movl r38 = 0xA1DC ;; 
+}
+{ .mmb
+(p13) cmp.eq  p15, p14 =  r0, r0 
+(p12) setf.exp f34 = r39 
+	nop.b 999 ;;
+}
+{ .mlx
+(p12) setf.exp f35 = r38 
+(p13) movl r39 = 0xFF9C 
+}
+{ .mfi
+	nop.m 999
+(p13) fsub.s1 f34 = f0, f1
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p12) mov f36 = f34 
+(p12) cmp.eq  p0, p15 =  r0, r0 ;; 
+}
+{ .mfi
+(p13) setf.exp f35 = r39 
+(p13) mov f36 = f1 
+	nop.i 999 ;;
+}
+EXPL_MAIN: 
+{ .mfi
+(p0)  cmp.ne.unc p12, p0 = 0x01, r33
+(p0)  fmpy.s1 f101 = f36, f35 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+(p0)  fma.s0 f99 = f34, f36, f101 
+(p15) br.cond.sptk EXPL_64_RETURN ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fsetc.s3 0x7F,0x01
+	nop.i 999
+}
+{ .mlx
+	nop.m 999
+(p0)  movl r50 = 0x00000000013FFF ;;
+}
+//    
+//    S0 user supplied status
+//    S2 user supplied status + WRE + TD  (Overflows) 
+//    S3 user supplied status + RZ + TD   (Underflows) 
+//    
+//    
+//    If (Safe) is true, then
+//        Compute result using user supplied status field.
+//        No overflow or underflow here, but perhaps inexact.
+//        Return
+//    Else
+//       Determine if overflow or underflow  was raised.
+//       Fetch +/- overflow threshold for IEEE single, double,
+//       double extended   
+//    
+{ .mfi
+(p0)  setf.exp f60 = r50
+(p0)  fma.s3 f102 = f34, f36, f101 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fsetc.s3 0x7F,0x40 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//
+//    For Safe, no need to check for over/under. 
+//    For expm1, handle errors like exp. 
+//
+(p0)  fsetc.s2 0x7F,0x42
+	nop.i 999;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fma.s2 f100 = f34, f36, f101 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fsetc.s2 0x7F,0x40 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p7)  fclass.m.unc   p12, p0 =  f102, 0x00F
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fclass.m.unc   p11, p0 =  f102, 0x00F
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p7)  fcmp.ge.unc.s1 p10, p0 =  f100, f60
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+//    
+//    Create largest double exponent + 1.
+//    Create smallest double exponent - 1.
+//    
+(p0)  fcmp.ge.unc.s1 p8, p0 =  f100, f60
+	nop.i 999 ;;
+}
+//    
+//    fcmp:   resultS2 >= + overflow threshold  -> set (a) if true
+//    fcmp:   resultS2 <= - overflow threshold  -> set (b) if true
+//    fclass: resultS3 is denorm/unorm/0        -> set (d) if true
+//    
+{ .mib
+(p10) mov   GR_Parameter_TAG = 39
+	nop.i 999
+(p10) br.cond.sptk __libm_error_region ;;
+}
+{ .mib
+(p8)  mov   GR_Parameter_TAG = 12
+	nop.i 999
+(p8)  br.cond.sptk __libm_error_region ;;
+}
+//    
+//    Report that exp overflowed
+//    
+{ .mib
+(p12) mov   GR_Parameter_TAG = 40
+	nop.i 999
+(p12) br.cond.sptk __libm_error_region ;;
+}
+{ .mib
+(p11) mov   GR_Parameter_TAG = 13
+	nop.i 999
+(p11) br.cond.sptk __libm_error_region ;;
+}
+{ .mib
+	nop.m 999
+	nop.i 999
+//    
+//    Report that exp underflowed
+//    
+(p0)  br.cond.sptk EXPL_64_RETURN ;;
+}
+EXPL_64_SPECIAL: 
+{ .mfi
+	nop.m 999
+(p0)  fclass.m.unc p6,  p0 =  f8, 0x0c3 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fclass.m.unc p13, p8 =  f8, 0x007 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p7)  fclass.m.unc p14, p0 =  f8, 0x007 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p0)  fclass.m.unc p12, p9 =  f8, 0x021 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p0)  fclass.m.unc p11, p0 =  f8, 0x022 
+	nop.i 999
+}
+{ .mfi
+	nop.m 999
+(p7)  fclass.m.unc p10, p0 =  f8, 0x022 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+//    
+//    Identify +/- 0, Inf, or -Inf 
+//    Generate the right kind of NaN.
+//    
+(p13) fadd.s0 f99 = f0, f1 
+	nop.i 999 ;;
+}
+{ .mfi
+	nop.m 999
+(p14) mov f99 = f8 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+(p6)  fadd.s0 f99 = f8, f1 
+//    
+//    expl(+/-0) = 1 
+//    expm1l(+/-0) = +/-0 
+//    No exceptions raised
+//    
+(p6)  br.cond.sptk EXPL_64_RETURN ;; 
+}
+{ .mib
+	nop.m 999
+	nop.i 999
+(p14) br.cond.sptk EXPL_64_RETURN ;; 
+}
+{ .mfi
+	nop.m 999
+(p11) mov f99 = f0 
+	nop.i 999 ;;
+}
+{ .mfb
+	nop.m 999
+(p10) fsub.s1 f99 = f0, f1 
+//    
+//    expl(-Inf) = 0 
+//    expm1l(-Inf) = -1 
+//    No exceptions raised.
+//    
+(p10) br.cond.sptk EXPL_64_RETURN ;; 
+}
+{ .mfb
+	nop.m 999
+(p12) fmpy.s1 f99 = f8, f1 
+//    
+//    expl(+Inf) = Inf 
+//    No exceptions raised.
+//    
+(p0)  br.cond.sptk EXPL_64_RETURN ;; 
+}
+EXPL_64_UNSUPPORTED: 
+{ .mfb
+	nop.m 999
+(p0)  fmpy.s0 f99 = f8, f0 
+(p0)  br.cond.sptk EXPL_64_RETURN ;; 
+}
+EXPL_64_RETURN: 
+{ .mfb
+      nop.m 999
+(p0)  mov   f8     = f99
+(p0)  br.ret.sptk   b0
+}
+.endp
+ASM_SIZE_DIRECTIVE(expl) 
+
+.proc __libm_error_region
+__libm_error_region:
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#