2.5-18.1

1 files changed, 503 insertions, 0 deletions

diff --git a/sysdeps/ia64/fpu/s_nextafterl.S b/sysdeps/ia64/fpu/s_nextafterl.S
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+.file "nextafterl.s"
+
+
+// Copyright (c) 2000 - 2004, 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 
+// 03/03/00 Modified to conform to C9X, and improve speed of main path
+// 03/14/00 Fixed case where x is a power of 2, and x > y, improved speed
+// 04/04/00 Unwind support added
+// 05/12/00 Fixed erroneous denormal flag setting for exponent change cases 1,3
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 09/09/00 Updated fcmp so that qnans do not raise invalid.
+// 12/15/00 Fixed case of smallest long double normal to largest denormal,
+//          now adhere to C99 for two zero args, and fixed flag settings 
+//          for several cases
+// 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 nextafterl( 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
+//==============================================================
+// nextafterl determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nextafterl)
+
+// 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 = 267      // 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 = 153      // Error code
+      fma.s0 FR_tmp = FR_lnorm,FR_lnorm,f0
+      br.cond.sptk  __libm_error_region    // Branch to error call
+}
+;;
+
+GLOBAL_LIBM_END(nextafterl)
+
+
+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#
+