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30891f35fa
We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
229 lines
5.8 KiB
ArmAsm
229 lines
5.8 KiB
ArmAsm
/* Compute cubic root of long double value.
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Copyright (C) 1997-2021 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include <libm-alias-ldouble.h>
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#include <machine/asm.h>
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.section .rodata
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.align ALIGNARG(4)
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.type f8,@object
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f8: .tfloat 0.161617097923756032
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ASM_SIZE_DIRECTIVE(f8)
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.align ALIGNARG(4)
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.type f7,@object
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f7: .tfloat -0.988553671195413709
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ASM_SIZE_DIRECTIVE(f7)
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.align ALIGNARG(4)
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.type f6,@object
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f6: .tfloat 2.65298938441952296
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ASM_SIZE_DIRECTIVE(f6)
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.align ALIGNARG(4)
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.type f5,@object
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f5: .tfloat -4.11151425200350531
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ASM_SIZE_DIRECTIVE(f5)
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.align ALIGNARG(4)
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.type f4,@object
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f4: .tfloat 4.09559907378707839
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ASM_SIZE_DIRECTIVE(f4)
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.align ALIGNARG(4)
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.type f3,@object
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f3: .tfloat -2.82414939754975962
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ASM_SIZE_DIRECTIVE(f3)
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.align ALIGNARG(4)
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.type f2,@object
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f2: .tfloat 1.67595307700780102
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ASM_SIZE_DIRECTIVE(f2)
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.align ALIGNARG(4)
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.type f1,@object
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f1: .tfloat 0.338058687610520237
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ASM_SIZE_DIRECTIVE(f1)
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#define CBRT2 1.2599210498948731648
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#define ONE_CBRT2 0.793700525984099737355196796584
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#define SQR_CBRT2 1.5874010519681994748
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#define ONE_SQR_CBRT2 0.629960524947436582364439673883
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/* We make the entries in the following table all 16 bytes
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wide to avoid having to implement a multiplication by 10. */
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.type factor,@object
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.align ALIGNARG(4)
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factor: .tfloat ONE_SQR_CBRT2
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.byte 0, 0, 0, 0, 0, 0
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.tfloat ONE_CBRT2
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.byte 0, 0, 0, 0, 0, 0
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.tfloat 1.0
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.byte 0, 0, 0, 0, 0, 0
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.tfloat CBRT2
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.byte 0, 0, 0, 0, 0, 0
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.tfloat SQR_CBRT2
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ASM_SIZE_DIRECTIVE(factor)
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.type two64,@object
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.align ALIGNARG(4)
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two64: .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x43
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ASM_SIZE_DIRECTIVE(two64)
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#ifdef PIC
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#define MO(op) op##@GOTOFF(%ebx)
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#define MOX(op,x) op##@GOTOFF(%ebx,x,1)
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#else
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#define MO(op) op
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#define MOX(op,x) op(x)
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#endif
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.text
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ENTRY(__cbrtl)
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movl 4(%esp), %ecx
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movl 12(%esp), %eax
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orl 8(%esp), %ecx
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movl %eax, %edx
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andl $0x7fff, %eax
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orl %eax, %ecx
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jz 1f
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xorl %ecx, %ecx
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cmpl $0x7fff, %eax
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je 1f
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#ifdef PIC
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pushl %ebx
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cfi_adjust_cfa_offset (4)
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cfi_rel_offset (ebx, 0)
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LOAD_PIC_REG (bx)
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#endif
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cmpl $0, %eax
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jne 2f
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#ifdef PIC
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fldt 8(%esp)
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#else
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fldt 4(%esp)
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#endif
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fmull MO(two64)
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movl $-64, %ecx
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#ifdef PIC
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fstpt 8(%esp)
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movl 16(%esp), %eax
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#else
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fstpt 4(%esp)
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movl 12(%esp), %eax
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#endif
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movl %eax, %edx
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andl $0x7fff, %eax
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2: andl $0x8000, %edx
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subl $16382, %eax
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orl $0x3ffe, %edx
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addl %eax, %ecx
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#ifdef PIC
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movl %edx, 16(%esp)
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fldt 8(%esp) /* xm */
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#else
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movl %edx, 12(%esp)
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fldt 4(%esp) /* xm */
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#endif
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fabs
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/* The following code has two tracks:
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a) compute the normalized cbrt value
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b) compute xe/3 and xe%3
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The right track computes the value for b) and this is done
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in an optimized way by avoiding division.
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But why two tracks at all? Very easy: efficiency. Some FP
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instruction can overlap with a certain amount of integer (and
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FP) instructions. So we get (except for the imull) all
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instructions for free. */
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fldt MO(f8) /* f8 : xm */
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fmul %st(1) /* f8*xm : xm */
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fldt MO(f7)
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faddp /* f7+f8*xm : xm */
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fmul %st(1) /* (f7+f8*xm)*xm : xm */
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movl $1431655766, %eax
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fldt MO(f6)
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faddp /* f6+(f7+f8*xm)*xm : xm */
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imull %ecx
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fmul %st(1) /* (f6+(f7+f8*xm)*xm)*xm : xm */
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movl %ecx, %eax
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fldt MO(f5)
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faddp /* f5+(f6+(f7+f8*xm)*xm)*xm : xm */
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sarl $31, %eax
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fmul %st(1) /* (f5+(f6+(f7+f8*xm)*xm)*xm)*xm : xm */
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subl %eax, %edx
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fldt MO(f4)
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faddp /* f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm : xm */
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fmul %st(1) /* (f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm : xm */
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fldt MO(f3)
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faddp /* f3+(f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm : xm */
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fmul %st(1) /* (f3+(f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm)*xm : xm */
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fldt MO(f2)
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faddp /* f2+(f3+(f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm)*xm : xm */
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fmul %st(1) /* (f2+(f3+(f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm)*xm)*xm : xm */
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fldt MO(f1)
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faddp /* u:=f1+(f2+(f3+(f4+(f5+(f6+(f7+f8*xm)*xm)*xm)*xm)*xm)*xm)*xm : xm */
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fld %st /* u : u : xm */
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fmul %st(1) /* u*u : u : xm */
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fld %st(2) /* xm : u*u : u : xm */
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fadd %st /* 2*xm : u*u : u : xm */
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fxch %st(1) /* u*u : 2*xm : u : xm */
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fmul %st(2) /* t2:=u*u*u : 2*xm : u : xm */
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movl %edx, %eax
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fadd %st, %st(1) /* t2 : t2+2*xm : u : xm */
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leal (%edx,%edx,2),%edx
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fadd %st(0) /* 2*t2 : t2+2*xm : u : xm */
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subl %edx, %ecx
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faddp %st, %st(3) /* t2+2*xm : u : 2*t2+xm */
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shll $4, %ecx
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fmulp /* u*(t2+2*xm) : 2*t2+xm */
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fdivp %st, %st(1) /* u*(t2+2*xm)/(2*t2+xm) */
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fldt MOX(32+factor,%ecx)
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fmulp /* u*(t2+2*xm)/(2*t2+xm)*FACT */
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pushl %eax
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cfi_adjust_cfa_offset (4)
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fildl (%esp) /* xe/3 : u*(t2+2*xm)/(2*t2+xm)*FACT */
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fxch /* u*(t2+2*xm)/(2*t2+xm)*FACT : xe/3 */
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fscale /* u*(t2+2*xm)/(2*t2+xm)*FACT*2^xe/3 */
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popl %edx
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cfi_adjust_cfa_offset (-4)
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#ifdef PIC
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movl 16(%esp), %eax
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popl %ebx
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cfi_adjust_cfa_offset (-4)
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cfi_restore (ebx)
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#else
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movl 12(%esp), %eax
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#endif
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testl $0x8000, %eax
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fstp %st(1)
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jz 4f
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fchs
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4: ret
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/* Return the argument. */
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1: fldt 4(%esp)
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fadd %st
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ret
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END(__cbrtl)
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libm_alias_ldouble (__cbrt, cbrt)
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