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Re: [RFC] How to add vector math functions to Glibc


2014-09-26 18:15 GMT+04:00 Carlos O'Donell <carlos@redhat.com>:
> On 09/26/2014 09:45 AM, Andrew Senkevich wrote:
>> So lets discuss Glibc build changes.
>> Build of libmvec (and hence libm.so installation) need to be
>> architecture dependent and optional, and some changes already was
>> discussed in https://sourceware.org/ml/libc-alpha/2014-09/msg00578.html.
>> Is it OK additionally to have configure option --enable-mathvec with
>> default=no and with default=yes for x86_86 build?
>
> Under what circumstances would a non-x86_64 target build with
> --enable-mathvec?
>
> When they have their own API/ABI standard to implement and provide
> in libmvec.so?
>
> What's wrong with simply producing a libmvec.so that has no public
> symbols?
>
> It simplifies everything to just always ship libmvec.so, even if
> it's empty.

Based on previous discussion, now we have the following changes:

diff --git a/configure b/configure
index 89566c5..5456c43 100755
--- a/configure
+++ b/configure
@@ -4521,7 +4521,7 @@ $as_echo_n "checking version of $AS... " >&6; }
   ac_prog_version=`$AS --version 2>&1 | sed -n 's/^.*GNU assembler.*
\([0-9]*\.[0-9.]*\).*$/\1/p'`
   case $ac_prog_version in
     '') ac_prog_version="v. ?.??, bad"; ac_verc_fail=yes;;
-    2.1[0-9][0-9]*|2.[2-9][0-9]*|[3-9].*|[1-9][0-9]*)
+    2.1[0-9][0-9]*|2.[2-9][2-9]*|[3-9].*|[1-9][0-9]*)
        ac_prog_version="$ac_prog_version, ok"; ac_verc_fail=no;;
     *) ac_prog_version="$ac_prog_version, bad"; ac_verc_fail=yes;;

diff --git a/configure.ac b/configure.ac
index 82d0896..c5c1758 100644
--- a/configure.ac
+++ b/configure.ac
@@ -903,7 +903,7 @@ LIBC_PROG_BINUTILS
 # Accept binutils 2.20 or newer.
 AC_CHECK_PROG_VER(AS, $AS, --version,
   [GNU assembler.* \([0-9]*\.[0-9.]*\)],
-  [2.1[0-9][0-9]*|2.[2-9][0-9]*|[3-9].*|[1-9][0-9]*], AS=:
critic_missing="$critic_missing as")
+  [2.1[0-9][0-9]*|2.[2-9][2-9]*|[3-9].*|[1-9][0-9]*], AS=:
critic_missing="$critic_missing as")
 AC_CHECK_PROG_VER(LD, $LD, --version,
   [GNU ld.* \([0-9][0-9]*\.[0-9.]*\)],
   [2.1[0-9][0-9]*|2.[2-9][0-9]*|[3-9].*|[1-9][0-9]*], LD=:
critic_missing="$critic_missing ld")
diff --git a/Makeconfig b/Makeconfig
index 24a3b82..65136d9 100644
--- a/Makeconfig
+++ b/Makeconfig
@@ -1018,7 +1018,7 @@ all-subdirs = csu assert ctype locale intl
catgets math setjmp signal    \
       stdlib stdio-common libio malloc string wcsmbs time dirent    \
       grp pwd posix io termios resource misc socket sysvipc gmon    \
       gnulib iconv iconvdata wctype manual shadow gshadow po argp   \
-      crypt localedata timezone rt conform debug    \
+      crypt localedata timezone rt conform debug mathvec    \
       $(add-on-subdirs) dlfcn elf

 ifndef avoid-generated
diff --git a/bits/math-vector.h b/bits/math-vector.h
new file mode 100644
index 0000000..1c1c7ba
--- /dev/null
+++ b/bits/math-vector.h
@@ -0,0 +1,22 @@
+/* Platform-specific SIMD declarations of math functions.
+   Copyright (C) 2014 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License  published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#ifndef _MATH_H
+# error "Never include <bits/math-vector.h> directly; \
+ include <math.h> instead."
+#endif
diff --git a/math/Makefile b/math/Makefile
index 866bc0f..1941b62 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -26,7 +26,7 @@ headers := math.h bits/mathcalls.h bits/mathinline.h
bits/huge_val.h \
    bits/huge_valf.h bits/huge_vall.h bits/inf.h bits/nan.h \
    fpu_control.h complex.h bits/cmathcalls.h fenv.h \
    bits/fenv.h bits/fenvinline.h bits/mathdef.h tgmath.h \
-   bits/math-finite.h
+   bits/math-finite.h bits/math-vector.h

 # FPU support code.
 aux := setfpucw fpu_control
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index 8a94a7e..2d31a11 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -60,6 +60,15 @@ __MATHCALL (atan,, (_Mdouble_ __x));
 __MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));

 /* Cosine of X.  */
+#if !defined _Mfloat_ && !defined _Mlong_double_ && defined __DECL_SIMD_cos
+__DECL_SIMD_cos
+#endif
+#if defined _Mfloat_ && !defined _Mlong_double_ && defined __DECL_SIMD_cosf
+__DECL_SIMD_cosf
+#endif
+#if defined _Mlong_double_ && defined __DECL_SIMD_cosl
+__DECL_SIMD_cosl
+#endif
 __MATHCALL (cos,, (_Mdouble_ __x));
 /* Sine of X.  */
 __MATHCALL (sin,, (_Mdouble_ __x));
diff --git a/math/math.h b/math/math.h
index 72ec2ca..32a7bec 100644
--- a/math/math.h
+++ b/math/math.h
@@ -27,6 +27,9 @@

 __BEGIN_DECLS

+/* Get machine-dependent vector math functions declarations */
+#include <bits/math-vector.h>
+
 /* Get machine-dependent HUGE_VAL value (returned on overflow).
    On all IEEE754 machines, this is +Infinity.  */
 #include <bits/huge_val.h>
diff --git a/mathvec/Makefile b/mathvec/Makefile
new file mode 100644
index 0000000..8aa4937
--- /dev/null
+++ b/mathvec/Makefile
@@ -0,0 +1,45 @@
+# Copyright (C) 2014 Free Software Foundation, Inc.
+# This file is part of the GNU C Library.
+
+# The GNU C Library is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Lesser General Public
+# License as published by the Free Software Foundation; either
+# version 2.1 of the License, or (at your option) any later version.
+
+# The GNU C Library is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+# Lesser General Public License for more details.
+
+# You should have received a copy of the GNU Lesser General Public
+# License along with the GNU C Library; if not, see
+# <http://www.gnu.org/licenses/>.
+
+# Makefile for the vector math library.
+
+subdir := mathvec
+
+include ../Makeconfig
+
+extra-libs := libmvec
+extra-libs-others = $(extra-libs)
+
+libmvec.so-no-z-defs = yes
+libmvec-routines = $(strip $(libmvec-support))
+
+# We need to install libm.so as linker script
+# for more comfortable use of vector math library.
+subdir_install: $(inst_libdir)/libm.so
+
+$(inst_libdir)/libm.so: $(common-objpfx)format.lds \
+ $(common-objpfx)math/libm.so$(libm.so-version) \
+ $(common-objpfx)mathvec/libmvec.so$(libmvec.so-version) \
+ $(+force)
+ (echo '/* GNU ld script */';\
+ cat $<; \
+ echo 'GROUP ( $(slibdir)/libm.so$(libm.so-version) ' \
+ 'AS_NEEDED ( $(slibdir)/libmvec.so$(libmvec.so-version) ) )' \
+ ) > $@.new
+ mv -f $@.new $@
+
+include ../Rules
diff --git a/sysdeps/unix/sysv/linux/shlib-versions
b/sysdeps/unix/sysv/linux/shlib-versions
index 9160557..4a32c8a 100644
--- a/sysdeps/unix/sysv/linux/shlib-versions
+++ b/sysdeps/unix/sysv/linux/shlib-versions
@@ -1,2 +1,3 @@
 libm=6
 libc=6
+libmvec=1
diff --git a/sysdeps/x86/fpu/bits/math-vector.h
b/sysdeps/x86/fpu/bits/math-vector.h
new file mode 100644
index 0000000..375c176
--- /dev/null
+++ b/sysdeps/x86/fpu/bits/math-vector.h
@@ -0,0 +1,45 @@
+/* Platform-specific SIMD declarations of math functions.
+   Copyright (C) 2014 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#ifndef _MATH_H
+# error "Never include <bits/math-vector.h> directly; \
+ include <math.h> instead."
+#endif
+
+#if defined __x86_64__ && defined __FAST_MATH__
+# define __DECL_SIMD_AVX2
+# define __DECL_SIMD_SSE4
+
+# if defined _OPENMP && _OPENMP >= 201307
+/* OpenMP case. */
+#  undef __DECL_SIMD_AVX2
+#  undef __DECL_SIMD_SSE4
+#  define __DECL_SIMD_AVX2 _Pragma("omp declare simd notinbranch")
+#  define __DECL_SIMD_SSE4 _Pragma("omp declare simd notinbranch")
+# elif defined _CILKPLUS && _CILKPLUS >= 0
+/* CilkPlus case. TODO _CILKPLUS currently nowhere defined */
+#  undef __DECL_SIMD_AVX2
+#  undef __DECL_SIMD_SSE4
+#  define __DECL_SIMD_AVX2 __attribute__((vector (nomask)))
+#  define __DECL_SIMD_SSE4 __attribute__((vector (processor(core_i7_sse4_2), \
+  nomask)))
+# endif
+
+# define __DECL_SIMD_cos  __DECL_SIMD_AVX2
+# define __DECL_SIMD_cosf __DECL_SIMD_SSE4
+#endif
diff --git a/sysdeps/x86_64/fpu/Makefile b/sysdeps/x86_64/fpu/Makefile
new file mode 100644
index 0000000..588f2f8
--- /dev/null
+++ b/sysdeps/x86_64/fpu/Makefile
@@ -0,0 +1,3 @@
+ifeq ($(subdir),mathvec)
+libmvec-support += svml_d_cos4_core svml_d_cos_data
+endif
diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions
new file mode 100644
index 0000000..3d433d2
--- /dev/null
+++ b/sysdeps/x86_64/fpu/Versions
@@ -0,0 +1,5 @@
+libmvec {
+  GLIBC_2.21 {
+    _ZGVdN4v_cos;
+  }
+}
diff --git a/sysdeps/x86_64/fpu/svml_d_cos4_core.S
b/sysdeps/x86_64/fpu/svml_d_cos4_core.S
new file mode 100644
index 0000000..7316d2b
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_cos4_core.S
@@ -0,0 +1,185 @@
+/* Function cos vectorized with AVX2.
+   Copyright (C) 2014 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+
+ .text
+ENTRY(_ZGVdN4v_cos)
+
+/* ALGORITHM DESCRIPTION:
+ *
+ *    ( low accuracy ( < 4ulp ) or enhanced performance ( half of
correct mantissa ) implementation )
+ *
+ *    Argument representation:
+ *    arg + Pi/2 = (N*Pi + R)
+ *
+ *    Result calculation:
+ *    cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R)
+ *    sin(R) is approximated by corresponding polynomial
+ */
+        pushq     %rbp
+        movq      %rsp, %rbp
+        andq      $-64, %rsp
+        subq      $448, %rsp
+        movq      __gnu_svml_dcos_data@GOTPCREL(%rip), %rax
+        vmovapd   %ymm0, %ymm1
+        vmovupd   192(%rax), %ymm4
+        vmovupd   256(%rax), %ymm5
+
+/* ARGUMENT RANGE REDUCTION:
+ * Add Pi/2 to argument: X' = X+Pi/2
+ */
+        vaddpd    128(%rax), %ymm1, %ymm7
+
+/* Get absolute argument value: X' = |X'| */
+        vandpd    (%rax), %ymm7, %ymm2
+
+/* Y = X'*InvPi + RS : right shifter add */
+        vfmadd213pd %ymm5, %ymm4, %ymm7
+        vmovupd   1216(%rax), %ymm4
+
+/* Check for large arguments path */
+        vcmpnle_uqpd 64(%rax), %ymm2, %ymm3
+
+/* N = Y - RS : right shifter sub */
+        vsubpd    %ymm5, %ymm7, %ymm6
+        vmovupd   640(%rax), %ymm2
+
+/* SignRes = Y<<63 : shift LSB to MSB place for result sign */
+        vpsllq    $63, %ymm7, %ymm7
+
+/* N = N - 0.5 */
+        vsubpd    320(%rax), %ymm6, %ymm0
+        vmovmskpd %ymm3, %ecx
+
+/* R = X - N*Pi1 */
+        vmovapd   %ymm1, %ymm3
+        vfnmadd231pd %ymm0, %ymm2, %ymm3
+
+/* R = R - N*Pi2 */
+        vfnmadd231pd 704(%rax), %ymm0, %ymm3
+
+/* R = R - N*Pi3 */
+        vfnmadd132pd 768(%rax), %ymm3, %ymm0
+
+/* POLYNOMIAL APPROXIMATION:
+ * R2 = R*R
+ */
+        vmulpd    %ymm0, %ymm0, %ymm5
+        vfmadd213pd 1152(%rax), %ymm5, %ymm4
+        vfmadd213pd 1088(%rax), %ymm5, %ymm4
+        vfmadd213pd 1024(%rax), %ymm5, %ymm4
+
+/* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */
+        vfmadd213pd 960(%rax), %ymm5, %ymm4
+        vfmadd213pd 896(%rax), %ymm5, %ymm4
+        vfmadd213pd 832(%rax), %ymm5, %ymm4
+        vmulpd    %ymm5, %ymm4, %ymm6
+        vfmadd213pd %ymm0, %ymm0, %ymm6
+
+/* RECONSTRUCTION:
+ * Final sign setting: Res = Poly^SignRes
+ */
+        vxorpd    %ymm7, %ymm6, %ymm0
+        testl     %ecx, %ecx
+        jne       _LBL_1_3
+
+_LBL_1_2:
+        movq      %rbp, %rsp
+        popq      %rbp
+        ret
+
+_LBL_1_3:
+        vmovupd   %ymm1, 320(%rsp)
+        vmovupd   %ymm0, 384(%rsp)
+        je        _LBL_1_2
+
+        xorb      %dl, %dl
+        xorl      %eax, %eax
+        vmovups   %ymm8, 224(%rsp)
+        vmovups   %ymm9, 192(%rsp)
+        vmovups   %ymm10, 160(%rsp)
+        vmovups   %ymm11, 128(%rsp)
+        vmovups   %ymm12, 96(%rsp)
+        vmovups   %ymm13, 64(%rsp)
+        vmovups   %ymm14, 32(%rsp)
+        vmovups   %ymm15, (%rsp)
+        movq      %rsi, 264(%rsp)
+        movq      %rdi, 256(%rsp)
+        movq      %r12, 296(%rsp)
+        movb      %dl, %r12b
+        movq      %r13, 288(%rsp)
+        movl      %ecx, %r13d
+        movq      %r14, 280(%rsp)
+        movl      %eax, %r14d
+        movq      %r15, 272(%rsp)
+
+_LBL_1_6:
+        btl       %r14d, %r13d
+        jc        _LBL_1_12
+
+_LBL_1_7:
+        lea       1(%r14), %esi
+        btl       %esi, %r13d
+        jc        _LBL_1_10
+
+_LBL_1_8:
+        incb      %r12b
+        addl      $2, %r14d
+        cmpb      $16, %r12b
+        jb        _LBL_1_6
+
+        vmovups   224(%rsp), %ymm8
+        vmovups   192(%rsp), %ymm9
+        vmovups   160(%rsp), %ymm10
+        vmovups   128(%rsp), %ymm11
+        vmovups   96(%rsp), %ymm12
+        vmovups   64(%rsp), %ymm13
+        vmovups   32(%rsp), %ymm14
+        vmovups   (%rsp), %ymm15
+        vmovupd   384(%rsp), %ymm0
+        movq      264(%rsp), %rsi
+        movq      256(%rsp), %rdi
+        movq      296(%rsp), %r12
+        movq      288(%rsp), %r13
+        movq      280(%rsp), %r14
+        movq      272(%rsp), %r15
+        jmp       _LBL_1_2
+
+_LBL_1_10:
+        movzbl    %r12b, %r15d
+        shlq      $4, %r15
+        vmovsd    328(%rsp,%r15), %xmm0
+        vzeroupper
+
+        call      cos@PLT
+
+        vmovsd    %xmm0, 392(%rsp,%r15)
+        jmp       _LBL_1_8
+
+_LBL_1_12:
+        movzbl    %r12b, %r15d
+        shlq      $4, %r15
+        vmovsd    320(%rsp,%r15), %xmm0
+        vzeroupper
+
+        call      cos@PLT
+
+        vmovsd    %xmm0, 384(%rsp,%r15)
+        jmp       _LBL_1_7
+END(_ZGVdN4v_cos)
diff --git a/sysdeps/x86_64/fpu/svml_d_cos_data.S
b/sysdeps/x86_64/fpu/svml_d_cos_data.S
new file mode 100644
index 0000000..7bb1aba
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_cos_data.S
@@ -0,0 +1,426 @@
+/* Data for vectorized cos.
+   Copyright (C) 2014 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+
+ .section .rodata, "a"
+
+ .align 64
+ .globl __gnu_svml_dcos_data
+__gnu_svml_dcos_data:
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 0
+ .long 1096810496
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1413754136
+ .long 1073291771
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 1073741824
+ .long 1074340347
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 0
+ .long 1048855597
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 2147483648
+ .long 1023952536
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1880851354
+ .long 998820945
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 1413754136
+ .long 1074340347
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 856972294
+ .long 1017226790
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 688016905
+ .long 962338001
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 1431655591
+ .long 3217380693
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 286303400
+ .long 1065423121
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 430291053
+ .long 3207201184
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 2150694560
+ .long 1053236707
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1174413873
+ .long 3193628213
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 1470296608
+ .long 1038487144
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 135375560
+ .long 3177836758
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 1841940611
+ .long 1070882608
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 0
+ .long 1127219200
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 4294967295
+ .long 1127219199
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .long 8388606
+ .long 1127219200
+ .type __gnu_svml_dcos_data,@object
+ .size __gnu_svml_dcos_data,1600


--
WBR,
Andrew


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