linux/arch/x86/math-emu/polynom_Xsig.S
Greg Kroah-Hartman b24413180f License cleanup: add SPDX GPL-2.0 license identifier to files with no license
Many source files in the tree are missing licensing information, which
makes it harder for compliance tools to determine the correct license.

By default all files without license information are under the default
license of the kernel, which is GPL version 2.

Update the files which contain no license information with the 'GPL-2.0'
SPDX license identifier.  The SPDX identifier is a legally binding
shorthand, which can be used instead of the full boiler plate text.

This patch is based on work done by Thomas Gleixner and Kate Stewart and
Philippe Ombredanne.

How this work was done:

Patches were generated and checked against linux-4.14-rc6 for a subset of
the use cases:
 - file had no licensing information it it.
 - file was a */uapi/* one with no licensing information in it,
 - file was a */uapi/* one with existing licensing information,

Further patches will be generated in subsequent months to fix up cases
where non-standard license headers were used, and references to license
had to be inferred by heuristics based on keywords.

The analysis to determine which SPDX License Identifier to be applied to
a file was done in a spreadsheet of side by side results from of the
output of two independent scanners (ScanCode & Windriver) producing SPDX
tag:value files created by Philippe Ombredanne.  Philippe prepared the
base worksheet, and did an initial spot review of a few 1000 files.

The 4.13 kernel was the starting point of the analysis with 60,537 files
assessed.  Kate Stewart did a file by file comparison of the scanner
results in the spreadsheet to determine which SPDX license identifier(s)
to be applied to the file. She confirmed any determination that was not
immediately clear with lawyers working with the Linux Foundation.

Criteria used to select files for SPDX license identifier tagging was:
 - Files considered eligible had to be source code files.
 - Make and config files were included as candidates if they contained >5
   lines of source
 - File already had some variant of a license header in it (even if <5
   lines).

All documentation files were explicitly excluded.

The following heuristics were used to determine which SPDX license
identifiers to apply.

 - when both scanners couldn't find any license traces, file was
   considered to have no license information in it, and the top level
   COPYING file license applied.

   For non */uapi/* files that summary was:

   SPDX license identifier                            # files
   ---------------------------------------------------|-------
   GPL-2.0                                              11139

   and resulted in the first patch in this series.

   If that file was a */uapi/* path one, it was "GPL-2.0 WITH
   Linux-syscall-note" otherwise it was "GPL-2.0".  Results of that was:

   SPDX license identifier                            # files
   ---------------------------------------------------|-------
   GPL-2.0 WITH Linux-syscall-note                        930

   and resulted in the second patch in this series.

 - if a file had some form of licensing information in it, and was one
   of the */uapi/* ones, it was denoted with the Linux-syscall-note if
   any GPL family license was found in the file or had no licensing in
   it (per prior point).  Results summary:

   SPDX license identifier                            # files
   ---------------------------------------------------|------
   GPL-2.0 WITH Linux-syscall-note                       270
   GPL-2.0+ WITH Linux-syscall-note                      169
   ((GPL-2.0 WITH Linux-syscall-note) OR BSD-2-Clause)    21
   ((GPL-2.0 WITH Linux-syscall-note) OR BSD-3-Clause)    17
   LGPL-2.1+ WITH Linux-syscall-note                      15
   GPL-1.0+ WITH Linux-syscall-note                       14
   ((GPL-2.0+ WITH Linux-syscall-note) OR BSD-3-Clause)    5
   LGPL-2.0+ WITH Linux-syscall-note                       4
   LGPL-2.1 WITH Linux-syscall-note                        3
   ((GPL-2.0 WITH Linux-syscall-note) OR MIT)              3
   ((GPL-2.0 WITH Linux-syscall-note) AND MIT)             1

   and that resulted in the third patch in this series.

 - when the two scanners agreed on the detected license(s), that became
   the concluded license(s).

 - when there was disagreement between the two scanners (one detected a
   license but the other didn't, or they both detected different
   licenses) a manual inspection of the file occurred.

 - In most cases a manual inspection of the information in the file
   resulted in a clear resolution of the license that should apply (and
   which scanner probably needed to revisit its heuristics).

 - When it was not immediately clear, the license identifier was
   confirmed with lawyers working with the Linux Foundation.

 - If there was any question as to the appropriate license identifier,
   the file was flagged for further research and to be revisited later
   in time.

In total, over 70 hours of logged manual review was done on the
spreadsheet to determine the SPDX license identifiers to apply to the
source files by Kate, Philippe, Thomas and, in some cases, confirmation
by lawyers working with the Linux Foundation.

Kate also obtained a third independent scan of the 4.13 code base from
FOSSology, and compared selected files where the other two scanners
disagreed against that SPDX file, to see if there was new insights.  The
Windriver scanner is based on an older version of FOSSology in part, so
they are related.

Thomas did random spot checks in about 500 files from the spreadsheets
for the uapi headers and agreed with SPDX license identifier in the
files he inspected. For the non-uapi files Thomas did random spot checks
in about 15000 files.

In initial set of patches against 4.14-rc6, 3 files were found to have
copy/paste license identifier errors, and have been fixed to reflect the
correct identifier.

Additionally Philippe spent 10 hours this week doing a detailed manual
inspection and review of the 12,461 patched files from the initial patch
version early this week with:
 - a full scancode scan run, collecting the matched texts, detected
   license ids and scores
 - reviewing anything where there was a license detected (about 500+
   files) to ensure that the applied SPDX license was correct
 - reviewing anything where there was no detection but the patch license
   was not GPL-2.0 WITH Linux-syscall-note to ensure that the applied
   SPDX license was correct

This produced a worksheet with 20 files needing minor correction.  This
worksheet was then exported into 3 different .csv files for the
different types of files to be modified.

These .csv files were then reviewed by Greg.  Thomas wrote a script to
parse the csv files and add the proper SPDX tag to the file, in the
format that the file expected.  This script was further refined by Greg
based on the output to detect more types of files automatically and to
distinguish between header and source .c files (which need different
comment types.)  Finally Greg ran the script using the .csv files to
generate the patches.

Reviewed-by: Kate Stewart <kstewart@linuxfoundation.org>
Reviewed-by: Philippe Ombredanne <pombredanne@nexb.com>
Reviewed-by: Thomas Gleixner <tglx@linutronix.de>
Signed-off-by: Greg Kroah-Hartman <gregkh@linuxfoundation.org>
2017-11-02 11:10:55 +01:00

138 lines
3.9 KiB
ArmAsm

/* SPDX-License-Identifier: GPL-2.0 */
/*---------------------------------------------------------------------------+
| polynomial_Xsig.S |
| |
| Fixed point arithmetic polynomial evaluation. |
| |
| Copyright (C) 1992,1993,1994,1995 |
| W. Metzenthen, 22 Parker St, Ormond, Vic 3163, |
| Australia. E-mail billm@jacobi.maths.monash.edu.au |
| |
| Call from C as: |
| void polynomial_Xsig(Xsig *accum, unsigned long long x, |
| unsigned long long terms[], int n) |
| |
| Computes: |
| terms[0] + (terms[1] + (terms[2] + ... + (terms[n-1]*x)*x)*x)*x) ... )*x |
| and adds the result to the 12 byte Xsig. |
| The terms[] are each 8 bytes, but all computation is performed to 12 byte |
| precision. |
| |
| This function must be used carefully: most overflow of intermediate |
| results is controlled, but overflow of the result is not. |
| |
+---------------------------------------------------------------------------*/
.file "polynomial_Xsig.S"
#include "fpu_emu.h"
#define TERM_SIZE $8
#define SUM_MS -20(%ebp) /* sum ms long */
#define SUM_MIDDLE -24(%ebp) /* sum middle long */
#define SUM_LS -28(%ebp) /* sum ls long */
#define ACCUM_MS -4(%ebp) /* accum ms long */
#define ACCUM_MIDDLE -8(%ebp) /* accum middle long */
#define ACCUM_LS -12(%ebp) /* accum ls long */
#define OVERFLOWED -16(%ebp) /* addition overflow flag */
.text
ENTRY(polynomial_Xsig)
pushl %ebp
movl %esp,%ebp
subl $32,%esp
pushl %esi
pushl %edi
pushl %ebx
movl PARAM2,%esi /* x */
movl PARAM3,%edi /* terms */
movl TERM_SIZE,%eax
mull PARAM4 /* n */
addl %eax,%edi
movl 4(%edi),%edx /* terms[n] */
movl %edx,SUM_MS
movl (%edi),%edx /* terms[n] */
movl %edx,SUM_MIDDLE
xor %eax,%eax
movl %eax,SUM_LS
movb %al,OVERFLOWED
subl TERM_SIZE,%edi
decl PARAM4
js L_accum_done
L_accum_loop:
xor %eax,%eax
movl %eax,ACCUM_MS
movl %eax,ACCUM_MIDDLE
movl SUM_MIDDLE,%eax
mull (%esi) /* x ls long */
movl %edx,ACCUM_LS
movl SUM_MIDDLE,%eax
mull 4(%esi) /* x ms long */
addl %eax,ACCUM_LS
adcl %edx,ACCUM_MIDDLE
adcl $0,ACCUM_MS
movl SUM_MS,%eax
mull (%esi) /* x ls long */
addl %eax,ACCUM_LS
adcl %edx,ACCUM_MIDDLE
adcl $0,ACCUM_MS
movl SUM_MS,%eax
mull 4(%esi) /* x ms long */
addl %eax,ACCUM_MIDDLE
adcl %edx,ACCUM_MS
testb $0xff,OVERFLOWED
jz L_no_overflow
movl (%esi),%eax
addl %eax,ACCUM_MIDDLE
movl 4(%esi),%eax
adcl %eax,ACCUM_MS /* This could overflow too */
L_no_overflow:
/*
* Now put the sum of next term and the accumulator
* into the sum register
*/
movl ACCUM_LS,%eax
addl (%edi),%eax /* term ls long */
movl %eax,SUM_LS
movl ACCUM_MIDDLE,%eax
adcl (%edi),%eax /* term ls long */
movl %eax,SUM_MIDDLE
movl ACCUM_MS,%eax
adcl 4(%edi),%eax /* term ms long */
movl %eax,SUM_MS
sbbb %al,%al
movb %al,OVERFLOWED /* Used in the next iteration */
subl TERM_SIZE,%edi
decl PARAM4
jns L_accum_loop
L_accum_done:
movl PARAM1,%edi /* accum */
movl SUM_LS,%eax
addl %eax,(%edi)
movl SUM_MIDDLE,%eax
adcl %eax,4(%edi)
movl SUM_MS,%eax
adcl %eax,8(%edi)
popl %ebx
popl %edi
popl %esi
leave
ret
ENDPROC(polynomial_Xsig)