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-.file "nextafterf.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 Corrected behavior when both args are zero to conform to C99, 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
-//==============================================================
-// float nextafterf( float x, float 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
-GR_min_den_rexp = r28
-// 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_sden_exp = f14
-FR_sden = f15
-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
-//==============================================================
-// nextafterf determines the next representable value
-// after x in the direction of y.
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(nextafterf)
-
-// Extract signexp from x
-// Form smallest denormal significand = ulp size
-{ .mlx
- getf.exp GR_exp = f8
- movl GR_sden_sig = 0x0000010000000000
-}
-// Form largest normal exponent
-// Is x < y ? p10 if yes, p11 if no
-// Form smallest normal exponent
-{ .mfi
- addl GR_max_pexp = 0x1007e, r0
- fcmp.lt.s1 p10,p11 = f8, f9
- addl GR_min_pexp = 0x0ff81, r0 ;;
-}
-
-// Is x=y?
-{ .mfi
- getf.sig GR_sig = f8
- fcmp.eq.s0 p6,p0 = f8, f9
- nop.i 0
-}
-// Extract significand from x
-// Form largest normal significand
-{ .mlx
- nop.m 0
- movl GR_lnorm_sig = 0xffffff0000000000 ;;
-}
-
-// Move largest normal significand to fp reg for special cases
-{ .mfi
- setf.sig FR_lnorm_sig = GR_lnorm_sig
- nop.f 0
- addl GR_sign_mask = 0x20000, r0 ;;
-}
-
-// Move smallest denormal significand and signexp 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
-}
-{ .mfi
- setf.exp FR_sden_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 = 0x7fffff0000000000 ;;
-}
-
-// 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
- nop.m 999
-(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 6 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
-// 6 sig size decr, x_sig=min_sig, x_exp < min_exp
-// Set p14, result is zero, sign of x, signal underflow and inexact
-//
-// Form exponent of smallest float denormal (if normalized register format)
-{ .mmi
- adds GR_min_den_rexp = -23, GR_min_pexp
-(p12) cmp.eq.unc p6,p0 = GR_new_sig, r0
-(p13) cmp.eq.unc p8,p10 = GR_new_sig, GR_lden_sig ;;
-}
-
-{ .mmi
-(p6) cmp.lt.unc p6,p7 = GR_x_exp, GR_max_pexp
-(p8) cmp.gt.unc p8,p9 = GR_x_exp, GR_min_pexp
-(p10) cmp.eq.unc p10,p0 = GR_new_sig, r0 ;;
-}
-
-// Create small normal in case need to generate underflow flag
-{ .mfi
-(p10) cmp.le.unc p10,p0 = GR_x_exp, GR_min_pexp
- fmerge.se FR_tmp = FR_sden_exp, FR_lnorm_sig
-(p9) cmp.gt.unc p9,p14 = GR_x_exp, GR_min_den_rexp
-}
-// 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, 6
-{ .bbb
-(p9) br.cond.spnt NEXT_NORM_TO_DENORM
-(p10) br.cond.spnt NEXT_UNDERFLOW_TO_ZERO
-(p14) 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
-(p7) tbit.z p6,p0 = GR_new_sig, 63 ;;
-}
-
-NEXT_COMMON_FINISH:
-// Force underflow and inexact if denormal result
-{ .mfi
- nop.m 999
-(p6) fma.s.s0 FR_tmp = FR_tmp,FR_tmp,f0
- nop.i 999
-}
-{ .mfb
- nop.m 999
- fnorm.s.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_new_exp, FR_lden_sig
- nop.i 999
-}
-// Force underflow and inexact
-{ .mfb
- nop.m 999
- fma.s.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 float
-// if f8 is -inf, no matter what y is return -largest float
-
-{ .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 float denormal
-// if f8 is zero and y is -, return - smallest float denormal
-
-{ .mfi
- nop.m 999
- fmerge.se FR_sden = FR_sden_exp,FR_sden_sig
- nop.i 999 ;;
-}
-
-// Create small normal to generate underflow flag
-{ .mfi
- nop.m 999
- fmerge.se FR_tmp = FR_sden_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.s.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 = 269 // 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 = 155 // Error code
- fma.s.s0 FR_tmp = FR_lnorm,FR_lnorm,f0
- br.cond.sptk __libm_error_region // Branch to error call
-}
-;;
-
-GLOBAL_LIBM_END(nextafterf)
-
-
-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
- stfs [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
- stfs [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
- stfs [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
- ldfs 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#
-