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-.file "nexttowardl.s"
-
-
-// Copyright (c) 2001 - 2004, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2001 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
-//==============================================================
-// 08/15/01 Initial version 
-// 08/23/01 Corrected error tag number
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/10/03 Reordered header: .section, .global, .proc, .align
-// 12/14/04 Added error handling on underflow.
-//
-// API
-//==============================================================
-// long double nexttowardl( long double x, long double y );
-// input  floating point f8, f9
-// output floating point f8
-//
-// Registers used
-//==============================================================
-GR_max_pexp     = r14
-GR_min_pexp     = r15
-GR_exp          = r16
-GR_sig          = r17
-GR_lnorm_sig    = r18
-GR_sign_mask    = r19
-GR_exp_mask     = r20
-GR_sden_sig     = r21
-GR_new_sig      = r22
-GR_new_exp      = r23
-GR_lden_sig     = r24
-GR_snorm_sig    = r25
-GR_exp1         = r26
-GR_x_exp        = r27
-// r36-39 parameters for libm_error_support
-
-GR_SAVE_B0                = r34
-GR_SAVE_GP                = r35
-GR_SAVE_PFS               = r32
-
-GR_Parameter_X            = r36
-GR_Parameter_Y            = r37
-GR_Parameter_RESULT       = r38
-GR_Parameter_TAG          = r39
-
-FR_lnorm_sig       = f10
-FR_lnorm_exp       = f11
-FR_lnorm           = f12
-FR_sden_sig        = f13
-FR_den_exp         = f14
-FR_sden            = f15
-FR_snorm_exp       = f32
-FR_save_f8         = f33
-FR_new_exp         = f34
-FR_new_sig         = f35
-FR_lden_sig        = f36
-FR_snorm_sig       = f37
-FR_exp1            = f38
-FR_tmp             = f39
-
-//
-// Overview of operation
-//==============================================================
-// nexttowardl determines the next representable value 
-// after x in the direction of y. 
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(nexttowardl)
-
-// Extract signexp from x
-// Is x < y ?  p10 if yes, p11 if no
-// Form smallest denormal significand = ulp size
-{ .mfi
-      getf.exp GR_exp      = f8
-      fcmp.lt.s1 p10,p11 = f8, f9                
-      addl GR_sden_sig = 0x1, r0
-}
-// Form largest normal significand 0xffffffffffffffff
-// Form smallest normal exponent
-{ .mfi
-      addl GR_lnorm_sig = -0x1,r0
-      nop.f 999
-      addl GR_min_pexp = 0x0c001, r0 ;;
-}
-
-// Extract significand from x
-// Is x=y?   This fcmp also sets Invalid and Denormal if required
-// Form largest normal exponent
-{ .mfi
-      getf.sig GR_sig      = f8
-      fcmp.eq.s0 p6,p0 = f8, f9
-      addl GR_max_pexp = 0x13ffe, r0
-}
-// Move largest normal significand to fp reg for special cases
-{ .mfi
-      setf.sig FR_lnorm_sig = GR_lnorm_sig
-      nop.f 999
-      addl GR_sign_mask = 0x20000, r0 ;;
-}
-
-// Move smallest denormal significand and exp to fp regs
-// Is x=nan?
-// Set p12 and p13 based on whether significand increases or decreases
-// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
-// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
-{ .mfi
-      setf.sig FR_sden_sig = GR_sden_sig
-      fclass.m  p8,p0 = f8, 0xc3           
-(p10) cmp.lt p12,p13 = GR_exp, GR_sign_mask
-}
-// Move smallest normal exp to fp regs
-{ .mfi
-      setf.exp FR_snorm_exp = GR_min_pexp
-      nop.f 999
-(p11) cmp.ge p12,p13 = GR_exp, GR_sign_mask ;;
-}
-
-.pred.rel "mutex",p12,p13
-
-// Form expected new significand, adding or subtracting 1 ulp increment
-// If x=y set result to y
-// Form smallest normal significand and largest denormal significand
-{ .mfi
-(p12) add GR_new_sig = GR_sig, GR_sden_sig
-(p6)  fmerge.s f8=f9,f9
-      dep.z GR_snorm_sig = 1,63,1 // 0x8000000000000000
-}
-{ .mlx
-(p13) sub GR_new_sig = GR_sig, GR_sden_sig
-      movl GR_lden_sig = 0x7fffffffffffffff ;;
-}
-
-// Move expected result significand and signexp to fp regs
-// Is y=nan?
-// Form new exponent in case result exponent needs incrementing or decrementing
-{ .mfi
-      setf.exp FR_new_exp = GR_exp
-      fclass.m  p9,p0 = f9, 0xc3           
-(p12) add GR_exp1 = 1, GR_exp
-}
-{ .mib
-      setf.sig FR_new_sig = GR_new_sig
-(p13) add GR_exp1 = -1, GR_exp
-(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
-}
-
-// Move largest normal signexp to fp reg for special cases
-// Is x=zero?
-{ .mfi
-      setf.exp FR_lnorm_exp = GR_max_pexp
-      fclass.m  p7,p0 = f8, 0x7
-      nop.i 999
-}
-{ .mfb
-      setf.exp FR_den_exp = GR_min_pexp
-(p8)  fma.s0 f8 = f8,f1,f9                     
-(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
-}
-
-// Move exp+-1 and smallest normal significand to fp regs for special cases
-// Is x=inf?
-{ .mfi
-      setf.exp FR_exp1 = GR_exp1
-      fclass.m  p6,p0 = f8, 0x23           
-      addl GR_exp_mask = 0x1ffff, r0
-}
-{ .mfb
-      setf.sig FR_snorm_sig = GR_snorm_sig
-(p9)  fma.s0 f8 = f8,f1,f9                     
-(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
-}
-
-// Move largest denormal significand to fp regs for special cases
-// Save x
-{ .mfb
-      setf.sig FR_lden_sig = GR_lden_sig
-      mov FR_save_f8 = f8
-(p7)  br.cond.spnt NEXT_ZERO ;;   // Exit if x=0   
-}
-
-// Mask off the sign to get x_exp
-{ .mfb
-      and GR_x_exp = GR_exp_mask, GR_exp
-      nop.f 999
-(p6)  br.cond.spnt NEXT_INF ;;   // Exit if x=inf   
-}
-
-// Check 5 special cases when significand rolls over:
-//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
-//     Set p6, result is sig=min_sig, exp++
-//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
-//     Set p7, result is inf, signal overflow
-//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
-//     Set p8, result is sig=max_sig, exp--
-//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
-//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
-//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
-//     Set p10, result is zero, sign of x, signal underflow and inexact
-//
-{ .mmi
-(p12) cmp.eq.unc p6,p0 = GR_new_sig, r0
-(p13) cmp.eq.unc p9,p10 = GR_new_sig, GR_lden_sig
-      nop.i 999
-;;
-}
-
-{ .mmi
-(p6)  cmp.lt.unc p6,p7 = GR_x_exp, GR_max_pexp
-(p10) cmp.eq.unc p10,p0 = GR_new_sig, r0
-(p9)  cmp.le.unc p9,p8 = GR_x_exp, GR_min_pexp 
-;;
-}
-
-// Create small normal in case need to generate underflow flag
-{ .mfi
-      nop.m 999
-      fmerge.se FR_tmp = FR_snorm_exp, FR_lnorm_sig
-      nop.i 999
-}
-// Branch if cases 1, 2, 3
-{ .bbb
-(p6)  br.cond.spnt NEXT_EXPUP
-(p7)  br.cond.spnt NEXT_OVERFLOW
-(p8)  br.cond.spnt NEXT_EXPDOWN ;;
-}
-
-// Branch if cases 4, 5
-{ .mbb
-      nop.m 999
-(p9)  br.cond.spnt NEXT_NORM_TO_DENORM
-(p10) br.cond.spnt NEXT_UNDERFLOW_TO_ZERO
-;;
-}
-
-// Here if no special cases
-// Set p6 if result will be a denormal, so can force underflow flag
-//    Case 1:  x_exp=min_exp, x_sig=unnormalized
-//    Case 2:  x_exp<min_exp
-{ .mfi
-      cmp.lt p6,p7 = GR_x_exp, GR_min_pexp
-      fmerge.se f8 = FR_new_exp, FR_new_sig
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-      nop.f 999
-(p6)  tbit.z p6,p0 = GR_new_sig, 63 ;;
-}
-
-NEXT_COMMON_FINISH:
-// Force underflow and inexact if denormal result
-{ .mfi
-      nop.m 999
-(p6)  fma.s0 FR_tmp = FR_tmp,FR_tmp,f0
-      nop.i 999
-}
-{ .mfb
-      nop.m 999
-      fnorm.s0 f8 = f8 // Final normalization to result precision
-(p6)  br.cond.spnt NEXT_UNDERFLOW ;;
-}
-
-{ .mfb
-      nop.m 999
-      nop.f 999
-      br.ret.sptk b0;;
-}
-
-//Special cases
-NEXT_EXPUP:
-{ .mfb
-      cmp.lt p6,p7 = GR_x_exp, GR_min_pexp
-      fmerge.se f8 = FR_exp1, FR_snorm_sig
-      br.cond.sptk NEXT_COMMON_FINISH ;;
-}
-
-NEXT_EXPDOWN:
-{ .mfb
-      cmp.lt p6,p7 = GR_x_exp, GR_min_pexp
-      fmerge.se f8 = FR_exp1, FR_lnorm_sig
-      br.cond.sptk NEXT_COMMON_FINISH ;;
-}
-
-NEXT_NORM_TO_DENORM:
-{ .mfi
-      nop.m 999
-      fmerge.se f8 = FR_exp1, FR_lden_sig
-      nop.i 999
-}
-// Force underflow and inexact
-{ .mfb
-      nop.m 999
-      fma.s0 FR_tmp = FR_tmp,FR_tmp,f0
-      br.cond.sptk NEXT_UNDERFLOW ;;
-}
-
-NEXT_UNDERFLOW_TO_ZERO:
-{ .mfb
-      cmp.eq p6,p0 = r0,r0
-      fmerge.s f8 = FR_save_f8,f0
-      br.cond.sptk NEXT_COMMON_FINISH ;;
-}
-
-NEXT_INF: 
-// Here if f8 is +- infinity
-// INF
-// if f8 is +inf, no matter what y is return  largest long double
-// if f8 is -inf, no matter what y is return -largest long double
-
-// Create largest long double
-{ .mfi
-      nop.m 999
-      fmerge.se FR_lnorm = FR_lnorm_exp,FR_lnorm_sig
-      nop.i 999 ;;
-}
-
-{ .mfb
-      nop.m 999
-      fmerge.s f8 = f8,FR_lnorm                
-      br.ret.sptk    b0 ;;                        
-}
-
-NEXT_ZERO: 
-
-// Here if f8 is +- zero
-// ZERO
-// if f8 is zero and y is +, return + smallest long double denormal 
-// if f8 is zero and y is -, return - smallest long double denormal 
-
-{ .mfi
-      nop.m 999
-      fmerge.se FR_sden = f0,FR_sden_sig
-      nop.i 999 ;;
-}
-
-// Create small normal to generate underflow flag
-{ .mfi
-      nop.m 999
-      fmerge.se FR_tmp = FR_snorm_exp, FR_lnorm_sig
-      nop.i 999 ;;
-}
-
-// Add correct sign from direction arg
-{ .mfi
-      nop.m 999
-      fmerge.s f8 = f9,FR_sden                
-      nop.i 999 ;;
-}
-
-// Force underflow and inexact flags
-{ .mfb
-      nop.m 999
-      fma.s0 FR_tmp = FR_tmp,FR_tmp,f0
-      br.cond.sptk NEXT_UNDERFLOW ;;
-}
-
-NEXT_UNDERFLOW: 
-// Here if result is a denorm, or input is finite and result is zero
-// Call error support to report possible range error
-{ .mib
-      alloc          r32=ar.pfs,2,2,4,0
-      mov           GR_Parameter_TAG = 270      // Error code
-      br.cond.sptk  __libm_error_region    // Branch to error call
-}
-;;
-
-NEXT_OVERFLOW: 
-// Here if input is finite, but result will be infinite
-// Use frcpa to generate infinity of correct sign
-// Call error support to report possible range error
-{ .mfi
-      alloc          r32=ar.pfs,2,2,4,0
-      frcpa.s1 f8,p6 = FR_save_f8, f0
-      nop.i 999 ;;
-}
-
-// Create largest double
-{ .mfi
-      nop.m 999
-      fmerge.se FR_lnorm = FR_lnorm_exp,FR_lnorm_sig
-      nop.i 999 ;;
-}
-
-// Force overflow and inexact flags to be set
-{ .mfb
-      mov           GR_Parameter_TAG = 198      // Error code
-      fma.s0 FR_tmp = FR_lnorm,FR_lnorm,f0
-      br.cond.sptk  __libm_error_region    // Branch to error call
-}
-;;
-
-GLOBAL_LIBM_END(nexttowardl)
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-
-// (1)
-{ .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
-};;
-
-
-// (2)
-{ .mmi
-        stfe [GR_Parameter_Y] = f9,16         // STORE 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
-// (3)
-{ .mib
-        stfe [GR_Parameter_X] = FR_save_f8              // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
-        nop.b 0                                
-}
-{ .mib
-        stfe [GR_Parameter_Y] = f8              // 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
-};;
-
-// (4)
-{ .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
-};;
-
-LOCAL_LIBM_END(__libm_error_region)
-
-
-.type   __libm_error_support#,@function
-.global __libm_error_support#
-