mirror of
https://sourceware.org/git/glibc.git
synced 2024-12-27 13:10:29 +00:00
ee6189855a
equivalent, but shorter instructions. * sysdeps/unix/sysv/linux/x86_64/sysdep.h: Likewise. * sysdeps/unix/sysv/linux/x86_64/setcontext.S: Likewise. * sysdeps/unix/sysv/linux/x86_64/clone.S: Likewise. * sysdeps/unix/sysv/linux/x86_64/swapcontext.S: Likewise. * sysdeps/unix/x86_64/sysdep.S: Likewise. * sysdeps/x86_64/strchr.S: Likewise. * sysdeps/x86_64/memset.S: Likewise. * sysdeps/x86_64/strcspn.S: Likewise. * sysdeps/x86_64/strcmp.S: Likewise. * sysdeps/x86_64/elf/start.S: Likewise. * sysdeps/x86_64/strspn.S: Likewise. * sysdeps/x86_64/dl-machine.h: Likewise. * sysdeps/x86_64/bsd-_setjmp.S: Likewise. * sysdeps/x86_64/bsd-setjmp.S: Likewise. * sysdeps/x86_64/strtok.S: Likewise.
600 lines
14 KiB
ArmAsm
600 lines
14 KiB
ArmAsm
.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#
|