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-.file "scalb.s"
-
-
-// Copyright (c) 2000 - 2003, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-
-// 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://www.intel.com/software/products/opensource/libraries/num.htm.
-//
-// History
-//==============================================================
-// 02/02/00 Initial version
-// 01/26/01 Scalb completely reworked and now standalone version
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/10/03 Reordered header: .section, .global, .proc, .align
-// 08/06/03 Improved performance
-//
-// API
-//==============================================================
-// double = scalb  (double x, double n)
-// input  floating point f8 and floating point f9
-// output floating point f8
-//
-// int_type = 0 if int is 32 bits
-// int_type = 1 if int is 64 bits
-//
-// Returns x* 2**n using an fma and detects overflow
-// and underflow.
-//
-//
-// Strategy:
-//  Compute biased exponent of result exp_Result = N + exp_X
-//  Break into ranges:
-//   exp_Result > 0x103fe                 -> Certain overflow
-//   exp_Result = 0x103fe                 -> Possible overflow
-//   0x0fc01 <= exp_Result < 0x103fe      -> No over/underflow (main path)
-//   0x0fc01 - 52 <= exp_Result < 0x0fc01 -> Possible underflow
-//   exp_Result < 0x0fc01 - 52            -> Certain underflow
-
-FR_Big         = f6
-FR_NBig        = f7
-FR_Floating_X  = f8
-FR_Result      = f8
-FR_Floating_N  = f9
-FR_Result2     = f9
-FR_Result3     = f10
-FR_Norm_X      = f11
-FR_Two_N       = f12
-FR_N_float_int = f13
-FR_Norm_N      = f14
-
-GR_neg_ov_limit= r14
-GR_big_exp     = r14
-GR_N_Biased    = r15
-GR_Big         = r16
-GR_exp_Result  = r18
-GR_pos_ov_limit= r19
-GR_exp_sure_ou = r19
-GR_Bias        = r20
-GR_N_as_int    = r21
-GR_signexp_X   = r22
-GR_exp_X       = r23
-GR_exp_mask    = r24
-GR_max_exp     = r25
-GR_min_exp     = r26
-GR_min_den_exp = r27
-GR_Scratch     = r28
-GR_signexp_N   = r29
-GR_exp_N       = r30
-
-GR_SAVE_B0          = r32
-GR_SAVE_GP          = r33
-GR_SAVE_PFS         = r34
-GR_Parameter_X      = r35
-GR_Parameter_Y      = r36
-GR_Parameter_RESULT = r37
-GR_Tag              = r38
-
-.section .text
-GLOBAL_IEEE754_ENTRY(scalb)
-
-//
-//   Is x NAN, INF, ZERO, +-?
-//   Build the exponent Bias
-//
-{    .mfi
-     getf.exp      GR_signexp_N = FR_Floating_N // Get signexp of n
-     fclass.m      p6,p0 = FR_Floating_X, 0xe7  // @snan | @qnan | @inf | @zero
-     mov           GR_Bias = 0x0ffff
-}
-{    .mfi
-     mov           GR_Big = 35000      // If N this big then certain overflow
-     fcvt.fx.trunc.s1   FR_N_float_int = FR_Floating_N // Get N in significand
-     nop.i         0
-}
-;;
-
-{    .mfi
-     getf.exp      GR_signexp_X = FR_Floating_X // Get signexp of x
-     fclass.m      p7,p0 = FR_Floating_N, 0x0b  // Test for n=unorm
-     nop.i         0
-}
-//
-//   Normalize n
-//
-{    .mfi
-     mov           GR_exp_mask = 0x1ffff     // Exponent mask
-     fnorm.s1      FR_Norm_N = FR_Floating_N
-     nop.i         0
-}
-;;
-
-//
-//   Is n NAN, INF, ZERO, +-?
-//
-{    .mfi
-     mov           GR_big_exp = 0x1003e      // Exponent at which n is integer
-     fclass.m      p9,p0 = FR_Floating_N, 0xe7  // @snan | @qnan | @inf | @zero
-     mov           GR_max_exp = 0x103fe      // Exponent of maximum double
-}
-//
-//   Normalize x
-//
-{ .mfb
-     nop.m         0
-     fnorm.s1      FR_Norm_X = FR_Floating_X
-(p7) br.cond.spnt  SCALB_N_UNORM             // Branch if n=unorm
-}
-;;
-
-SCALB_COMMON1:
-// Main path continues.  Also return here from u=unorm path.
-//   Handle special cases if x = Nan, Inf, Zero
-{ .mfb
-     nop.m         0
-     fcmp.lt.s1    p7,p0 = FR_Floating_N, f0  // Test N negative
-(p6) br.cond.spnt  SCALB_NAN_INF_ZERO
-}
-;;
-
-//   Handle special cases if n = Nan, Inf, Zero
-{    .mfi
-     getf.sig      GR_N_as_int = FR_N_float_int // Get n from significand
-     fclass.m      p8,p0 = FR_Floating_X, 0x0b // Test for x=unorm
-     mov           GR_exp_sure_ou = 0x1000e // Exp_N where x*2^N sure over/under
-}
-{    .mfb
-     mov           GR_min_exp = 0x0fc01      // Exponent of minimum double
-     fcvt.xf       FR_N_float_int = FR_N_float_int // Convert N to FP integer
-(p9) br.cond.spnt  SCALB_NAN_INF_ZERO
-}
-;;
-
-{    .mmi
-     and           GR_exp_N = GR_exp_mask, GR_signexp_N // Get exponent of N
-(p7) sub           GR_Big = r0, GR_Big          // Limit for N
-     nop.i         0
-}
-;;
-
-{    .mib
-     cmp.lt        p9,p0 = GR_exp_N, GR_big_exp // N possible non-integer?
-     cmp.ge        p6,p0 = GR_exp_N, GR_exp_sure_ou // N certain over/under?
-(p8) br.cond.spnt  SCALB_X_UNORM             // Branch if x=unorm
-}
-;;
-
-SCALB_COMMON2:
-// Main path continues.  Also return here from x=unorm path.
-//   Create biased exponent for 2**N
-{    .mmi
-(p6) mov           GR_N_as_int = GR_Big      // Limit N
-;;
-     add           GR_N_Biased = GR_Bias,GR_N_as_int
-     nop.i         0
-}
-;;
-
-{    .mfi
-     setf.exp      FR_Two_N = GR_N_Biased               // Form 2**N
-(p9) fcmp.neq.unc.s1 p9,p0 = FR_Norm_N, FR_N_float_int  // Test if N an integer
-     and           GR_exp_X = GR_exp_mask, GR_signexp_X // Get exponent of X
-}
-;;
-
-//
-//   Compute biased result exponent
-//   Branch if N is not an integer
-//
-{    .mib
-     add           GR_exp_Result = GR_exp_X, GR_N_as_int
-     mov           GR_min_den_exp = 0x0fc01 - 52 // Exponent of min denorm dble
-(p9) br.cond.spnt  SCALB_N_NOT_INT
-}
-;;
-
-//
-//   Raise Denormal operand flag with compare
-//   Do final operation
-//
-{    .mfi
-     cmp.lt        p7,p6 = GR_exp_Result, GR_max_exp  // Test no overflow
-     fcmp.ge.s0    p0,p11 = FR_Floating_X,FR_Floating_N  // Dummy to set denorm
-     cmp.lt        p9,p0 = GR_exp_Result, GR_min_den_exp // Test sure underflow
-}
-{    .mfb
-     nop.m         0
-     fma.d.s0      FR_Result = FR_Two_N,FR_Norm_X,f0
-(p9) br.cond.spnt  SCALB_UNDERFLOW           // Branch if certain underflow
-}
-;;
-
-{    .mib
-(p6) cmp.gt.unc    p6,p8 = GR_exp_Result, GR_max_exp  // Test sure overflow
-(p7) cmp.ge.unc    p7,p9 = GR_exp_Result, GR_min_exp  // Test no over/underflow
-(p7) br.ret.sptk   b0                         // Return from main path
-}
-;;
-
-{    .bbb
-(p6) br.cond.spnt  SCALB_OVERFLOW            // Branch if certain overflow
-(p8) br.cond.spnt  SCALB_POSSIBLE_OVERFLOW   // Branch if possible overflow
-(p9) br.cond.spnt  SCALB_POSSIBLE_UNDERFLOW  // Branch if possible underflow
-}
-;;
-
-// Here if possible underflow.
-// Resulting exponent: 0x0fc01-52 <= exp_Result < 0x0fc01
-SCALB_POSSIBLE_UNDERFLOW:
-//
-// Here if possible overflow.
-// Resulting exponent: 0x103fe = exp_Result
-SCALB_POSSIBLE_OVERFLOW:
-
-//   Set up necessary status fields
-//
-//   S0 user supplied status
-//   S2 user supplied status + WRE + TD  (Overflows)
-//   S3 user supplied status + FZ + TD   (Underflows)
-//
-{    .mfi
-     mov           GR_pos_ov_limit = 0x103ff // Exponent for positive overflow
-     fsetc.s3      0x7F,0x41
-     nop.i         0
-}
-{    .mfi
-     mov           GR_neg_ov_limit = 0x303ff // Exponent for negative overflow
-     fsetc.s2      0x7F,0x42
-     nop.i         0
-}
-;;
-
-//
-//   Do final operation with s2 and s3
-//
-{    .mfi
-     setf.exp      FR_NBig = GR_neg_ov_limit
-     fma.d.s3      FR_Result3 = FR_Two_N,FR_Norm_X,f0
-     nop.i         0
-}
-{    .mfi
-     setf.exp      FR_Big = GR_pos_ov_limit
-     fma.d.s2      FR_Result2 = FR_Two_N,FR_Norm_X,f0
-     nop.i         0
-}
-;;
-
-//   Check for overflow or underflow.
-//   Restore s3
-//   Restore s2
-//
-{    .mfi
-     nop.m         0
-     fsetc.s3      0x7F,0x40
-     nop.i         0
-}
-{    .mfi
-     nop.m         0
-     fsetc.s2      0x7F,0x40
-     nop.i         0
-}
-;;
-
-//
-//   Is the result zero?
-//
-{    .mfi
-     nop.m         0
-     fclass.m      p6, p0 =  FR_Result3, 0x007
-     nop.i         0
-}
-{    .mfi
-     nop.m         0
-     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
-     nop.i         0
-}
-;;
-
-//
-//   Detect masked underflow - Tiny + Inexact Only
-//
-{    .mfi
-     nop.m         0
-(p6) fcmp.neq.unc.s1 p6, p0 = FR_Result , FR_Result2
-     nop.i         0
-}
-;;
-
-//
-//   Is result bigger the allowed range?
-//   Branch out for underflow
-//
-{    .mfb
-     nop.m          0
-(p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   SCALB_UNDERFLOW
-}
-;;
-
-//
-//   Branch out for overflow
-//
-{ .bbb
-(p7) br.cond.spnt   SCALB_OVERFLOW
-(p9) br.cond.spnt   SCALB_OVERFLOW
-     br.ret.sptk    b0             //   Return from main path.
-}
-;;
-
-// Here if result overflows
-SCALB_OVERFLOW:
-{ .mib
-     alloc         r32=ar.pfs,3,0,4,0
-     addl          GR_Tag = 53, r0     // Set error tag for overflow
-     br.cond.sptk  __libm_error_region // Call error support for overflow
-}
-;;
-
-// Here if result underflows
-SCALB_UNDERFLOW:
-{ .mib
-     alloc         r32=ar.pfs,3,0,4,0
-     addl          GR_Tag = 54, r0     // Set error tag for underflow
-     br.cond.sptk  __libm_error_region // Call error support for underflow
-}
-;;
-
-SCALB_NAN_INF_ZERO:
-
-//
-//   Before entry, N has been converted to a fp integer in significand of 
-//     FR_N_float_int
-//
-//   Convert  N_float_int to floating point value
-//
-{    .mfi
-     getf.sig     GR_N_as_int = FR_N_float_int
-     fclass.m     p6,p0 = FR_Floating_N, 0xc3 //@snan | @qnan
-     nop.i        0
-}
-{    .mfi
-     addl         GR_Scratch = 1,r0
-     fcvt.xf      FR_N_float_int = FR_N_float_int
-     nop.i        0
-}
-;;
-
-{    .mfi
-     nop.m        0
-     fclass.m     p7,p0 = FR_Floating_X, 0xc3 //@snan | @qnan
-     shl          GR_Scratch = GR_Scratch,63
-}
-;;
-
-{    .mfi
-     nop.m        0
-     fclass.m     p8,p0 = FR_Floating_N, 0x21 // @inf
-     nop.i        0
-}
-{    .mfi
-     nop.m        0
-     fclass.m     p9,p0 = FR_Floating_N, 0x22 // @-inf
-     nop.i        0
-}
-;;
-
-//
-//   Either X or N is a Nan, return result and possible raise invalid.
-//
-{    .mfb
-     nop.m        0
-(p6) fma.d.s0     FR_Result = FR_Floating_N,FR_Floating_X,f0
-(p6) br.ret.spnt  b0
-}
-;;
-
-{    .mfb
-     nop.m        0
-(p7) fma.d.s0     FR_Result = FR_Floating_N,FR_Floating_X,f0
-(p7) br.ret.spnt  b0
-}
-;;
-
-//
-//   If N + Inf do something special
-//   For N = -Inf, create Int
-//
-{    .mfb
-     nop.m        0
-(p8) fma.d.s0     FR_Result = FR_Floating_X, FR_Floating_N,f0
-(p8) br.ret.spnt  b0
-}
-{    .mfi
-     nop.m        0
-(p9) fnma.d.s0    FR_Floating_N = FR_Floating_N, f1, f0
-     nop.i        0
-}
-;;
-
-//
-//   If N==-Inf,return x/(-N)
-//
-{    .mfb
-     cmp.ne       p7,p0 = GR_N_as_int,GR_Scratch
-(p9) frcpa.s0     FR_Result,p0 = FR_Floating_X,FR_Floating_N
-(p9) br.ret.spnt  b0
-}
-;;
-
-//
-//   Is N an integer.
-//
-{    .mfi
-     nop.m        0
-(p7) fcmp.neq.unc.s1 p7,p0 = FR_Norm_N, FR_N_float_int
-     nop.i        0
-}
-;;
-
-//
-//   If N not an int, return NaN and raise invalid.
-//
-{    .mfb
-     nop.m        0
-(p7) frcpa.s0     FR_Result,p0 = f0,f0
-(p7) br.ret.spnt  b0
-}
-;;
-
-//
-//   Always return x in other path.
-//
-{    .mfb
-     nop.m        0
-     fma.d.s0     FR_Result = FR_Floating_X,f1,f0
-     br.ret.sptk  b0
-}
-;;
-
-// Here if n not int
-// Return NaN and raise invalid.
-SCALB_N_NOT_INT:
-{    .mfb
-     nop.m        0
-     frcpa.s0     FR_Result,p0 = f0,f0
-     br.ret.sptk  b0
-}
-;;
-
-// Here if n=unorm
-SCALB_N_UNORM:
-{ .mfb
-     getf.exp      GR_signexp_N = FR_Norm_N // Get signexp of normalized n
-     fcvt.fx.trunc.s1   FR_N_float_int = FR_Norm_N // Get N in significand
-     br.cond.sptk  SCALB_COMMON1            // Return to main path
-}
-;;
-
-// Here if x=unorm
-SCALB_X_UNORM:
-{ .mib
-     getf.exp      GR_signexp_X = FR_Norm_X // Get signexp of normalized x
-     nop.i         0
-     br.cond.sptk  SCALB_COMMON2            // Return to main path
-}
-;;
-
-GLOBAL_IEEE754_END(scalb)
-LOCAL_LIBM_ENTRY(__libm_error_region)
-
-//
-// Get stack address of N
-//
-.prologue
-{ .mfi
-    add   GR_Parameter_Y=-32,sp
-    nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-    mov  GR_SAVE_PFS=ar.pfs
-}
-//
-// Adjust sp
-//
-{ .mfi
-.fframe 64
-   add sp=-64,sp
-   nop.f 0
-   mov GR_SAVE_GP=gp
-};;
-
-//
-//  Store N on stack in correct position
-//  Locate the address of x on stack
-//
-{ .mmi
-   stfd [GR_Parameter_Y] = FR_Norm_N,16
-   add GR_Parameter_X = 16,sp
-.save   b0, GR_SAVE_B0
-   mov GR_SAVE_B0=b0
-};;
-
-//
-// Store x on the stack.
-// Get address for result on stack.
-//
-.body
-{ .mib
-   stfd [GR_Parameter_X] = FR_Norm_X
-   add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-   nop.b 0
-}
-{ .mib
-   stfd [GR_Parameter_Y] = FR_Result
-   add   GR_Parameter_Y = -16,GR_Parameter_Y
-   br.call.sptk b0=__libm_error_support#
-};;
-
-//
-//  Get location of result on stack
-//
-{ .mmi
-   add   GR_Parameter_RESULT = 48,sp
-   nop.m 0
-   nop.i 0
-};;
-
-//
-//  Get the new result
-//
-{ .mmi
-   ldfd  FR_Result = [GR_Parameter_RESULT]
-.restore sp
-   add   sp = 64,sp
-   mov   b0 = GR_SAVE_B0
-};;
-
-//
-//  Restore gp, ar.pfs and return
-//
-{ .mib
-   mov   gp = GR_SAVE_GP
-   mov   ar.pfs = GR_SAVE_PFS
-   br.ret.sptk     b0
-};;
-
-LOCAL_LIBM_END(__libm_error_region)
-
-.type   __libm_error_support#,@function
-.global __libm_error_support#