diff options
50 files changed, 5647 insertions, 1 deletions
diff --git a/bits/libm-simd-decl-stubs.h b/bits/libm-simd-decl-stubs.h index 33d480031b..21f1a43232 100644 --- a/bits/libm-simd-decl-stubs.h +++ b/bits/libm-simd-decl-stubs.h @@ -285,4 +285,15 @@ #define __DECL_SIMD_erff32x #define __DECL_SIMD_erff64x #define __DECL_SIMD_erff128x + +#define __DECL_SIMD_tanh +#define __DECL_SIMD_tanhf +#define __DECL_SIMD_tanhl +#define __DECL_SIMD_tanhf16 +#define __DECL_SIMD_tanhf32 +#define __DECL_SIMD_tanhf64 +#define __DECL_SIMD_tanhf128 +#define __DECL_SIMD_tanhf32x +#define __DECL_SIMD_tanhf64x +#define __DECL_SIMD_tanhf128x #endif diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h index a5b6c4457f..3d1c2056d5 100644 --- a/math/bits/mathcalls.h +++ b/math/bits/mathcalls.h @@ -72,7 +72,7 @@ __MATHCALL_VEC (cosh,, (_Mdouble_ __x)); /* Hyperbolic sine of X. */ __MATHCALL_VEC (sinh,, (_Mdouble_ __x)); /* Hyperbolic tangent of X. */ -__MATHCALL (tanh,, (_Mdouble_ __x)); +__MATHCALL_VEC (tanh,, (_Mdouble_ __x)); #ifdef __USE_GNU /* Cosine and sine of X. */ diff --git a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist index 5525c8a0d6..e178cef683 100644 --- a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist +++ b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist @@ -61,6 +61,7 @@ GLIBC_2.35 _ZGVbN2v_log10 F GLIBC_2.35 _ZGVbN2v_log1p F GLIBC_2.35 _ZGVbN2v_log2 F GLIBC_2.35 _ZGVbN2v_sinh F +GLIBC_2.35 _ZGVbN2v_tanh F GLIBC_2.35 _ZGVbN2vv_atan2 F GLIBC_2.35 _ZGVbN2vv_hypot F GLIBC_2.35 _ZGVbN4v_acosf F @@ -78,6 +79,7 @@ GLIBC_2.35 _ZGVbN4v_log10f F GLIBC_2.35 _ZGVbN4v_log1pf F GLIBC_2.35 _ZGVbN4v_log2f F GLIBC_2.35 _ZGVbN4v_sinhf F +GLIBC_2.35 _ZGVbN4v_tanhf F GLIBC_2.35 _ZGVbN4vv_atan2f F GLIBC_2.35 _ZGVbN4vv_hypotf F GLIBC_2.35 _ZGVcN4v_acos F @@ -95,6 +97,7 @@ GLIBC_2.35 _ZGVcN4v_log10 F GLIBC_2.35 _ZGVcN4v_log1p F GLIBC_2.35 _ZGVcN4v_log2 F GLIBC_2.35 _ZGVcN4v_sinh F +GLIBC_2.35 _ZGVcN4v_tanh F GLIBC_2.35 _ZGVcN4vv_atan2 F GLIBC_2.35 _ZGVcN4vv_hypot F GLIBC_2.35 _ZGVcN8v_acosf F @@ -112,6 +115,7 @@ GLIBC_2.35 _ZGVcN8v_log10f F GLIBC_2.35 _ZGVcN8v_log1pf F GLIBC_2.35 _ZGVcN8v_log2f F GLIBC_2.35 _ZGVcN8v_sinhf F +GLIBC_2.35 _ZGVcN8v_tanhf F GLIBC_2.35 _ZGVcN8vv_atan2f F GLIBC_2.35 _ZGVcN8vv_hypotf F GLIBC_2.35 _ZGVdN4v_acos F @@ -129,6 +133,7 @@ GLIBC_2.35 _ZGVdN4v_log10 F GLIBC_2.35 _ZGVdN4v_log1p F GLIBC_2.35 _ZGVdN4v_log2 F GLIBC_2.35 _ZGVdN4v_sinh F +GLIBC_2.35 _ZGVdN4v_tanh F GLIBC_2.35 _ZGVdN4vv_atan2 F GLIBC_2.35 _ZGVdN4vv_hypot F GLIBC_2.35 _ZGVdN8v_acosf F @@ -146,6 +151,7 @@ GLIBC_2.35 _ZGVdN8v_log10f F GLIBC_2.35 _ZGVdN8v_log1pf F GLIBC_2.35 _ZGVdN8v_log2f F GLIBC_2.35 _ZGVdN8v_sinhf F +GLIBC_2.35 _ZGVdN8v_tanhf F GLIBC_2.35 _ZGVdN8vv_atan2f F GLIBC_2.35 _ZGVdN8vv_hypotf F GLIBC_2.35 _ZGVeN16v_acosf F @@ -163,6 +169,7 @@ GLIBC_2.35 _ZGVeN16v_log10f F GLIBC_2.35 _ZGVeN16v_log1pf F GLIBC_2.35 _ZGVeN16v_log2f F GLIBC_2.35 _ZGVeN16v_sinhf F +GLIBC_2.35 _ZGVeN16v_tanhf F GLIBC_2.35 _ZGVeN16vv_atan2f F GLIBC_2.35 _ZGVeN16vv_hypotf F GLIBC_2.35 _ZGVeN8v_acos F @@ -180,5 +187,6 @@ GLIBC_2.35 _ZGVeN8v_log10 F GLIBC_2.35 _ZGVeN8v_log1p F GLIBC_2.35 _ZGVeN8v_log2 F GLIBC_2.35 _ZGVeN8v_sinh F +GLIBC_2.35 _ZGVeN8v_tanh F GLIBC_2.35 _ZGVeN8vv_atan2 F GLIBC_2.35 _ZGVeN8vv_hypot F diff --git a/sysdeps/x86/fpu/bits/math-vector.h b/sysdeps/x86/fpu/bits/math-vector.h index ea0deb31c1..3c657f6108 100644 --- a/sysdeps/x86/fpu/bits/math-vector.h +++ b/sysdeps/x86/fpu/bits/math-vector.h @@ -126,6 +126,10 @@ # define __DECL_SIMD_erf __DECL_SIMD_x86_64 # undef __DECL_SIMD_erff # define __DECL_SIMD_erff __DECL_SIMD_x86_64 +# undef __DECL_SIMD_tanh +# define __DECL_SIMD_tanh __DECL_SIMD_x86_64 +# undef __DECL_SIMD_tanhf +# define __DECL_SIMD_tanhf __DECL_SIMD_x86_64 # endif #endif diff --git a/sysdeps/x86/fpu/finclude/math-vector-fortran.h b/sysdeps/x86/fpu/finclude/math-vector-fortran.h index 42addd9a25..c7f81945fe 100644 --- a/sysdeps/x86/fpu/finclude/math-vector-fortran.h +++ b/sysdeps/x86/fpu/finclude/math-vector-fortran.h @@ -62,6 +62,8 @@ !GCC$ builtin (acoshf) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (erf) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (erff) attributes simd (notinbranch) if('x86_64') +!GCC$ builtin (tanh) attributes simd (notinbranch) if('x86_64') +!GCC$ builtin (tanhf) attributes simd (notinbranch) if('x86_64') !GCC$ builtin (cos) attributes simd (notinbranch) if('x32') !GCC$ builtin (cosf) attributes simd (notinbranch) if('x32') @@ -109,3 +111,5 @@ !GCC$ builtin (acoshf) attributes simd (notinbranch) if('x32') !GCC$ builtin (erf) attributes simd (notinbranch) if('x32') !GCC$ builtin (erff) attributes simd (notinbranch) if('x32') +!GCC$ builtin (tanh) attributes simd (notinbranch) if('x32') +!GCC$ builtin (tanhf) attributes simd (notinbranch) if('x32') diff --git a/sysdeps/x86_64/fpu/Makeconfig b/sysdeps/x86_64/fpu/Makeconfig index 2b89a1bba3..26df8d47bf 100644 --- a/sysdeps/x86_64/fpu/Makeconfig +++ b/sysdeps/x86_64/fpu/Makeconfig @@ -45,6 +45,7 @@ libmvec-funcs = \ sin \ sincos \ sinh \ + tanh \ # Define libmvec function for benchtests directory. libmvec-bench-funcs = \ diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions index 2fcdef6944..adcbe0fefb 100644 --- a/sysdeps/x86_64/fpu/Versions +++ b/sysdeps/x86_64/fpu/Versions @@ -29,6 +29,7 @@ libmvec { _ZGVbN2v_log1p; _ZGVcN4v_log1p; _ZGVdN4v_log1p; _ZGVeN8v_log1p; _ZGVbN2v_log2; _ZGVcN4v_log2; _ZGVdN4v_log2; _ZGVeN8v_log2; _ZGVbN2v_sinh; _ZGVcN4v_sinh; _ZGVdN4v_sinh; _ZGVeN8v_sinh; + _ZGVbN2v_tanh; _ZGVcN4v_tanh; _ZGVdN4v_tanh; _ZGVeN8v_tanh; _ZGVbN2vv_atan2; _ZGVcN4vv_atan2; _ZGVdN4vv_atan2; _ZGVeN8vv_atan2; _ZGVbN2vv_hypot; _ZGVcN4vv_hypot; _ZGVdN4vv_hypot; _ZGVeN8vv_hypot; _ZGVbN4v_acosf; _ZGVcN8v_acosf; _ZGVdN8v_acosf; _ZGVeN16v_acosf; @@ -46,6 +47,7 @@ libmvec { _ZGVbN4v_log1pf; _ZGVcN8v_log1pf; _ZGVdN8v_log1pf; _ZGVeN16v_log1pf; _ZGVbN4v_log2f; _ZGVcN8v_log2f; _ZGVdN8v_log2f; _ZGVeN16v_log2f; _ZGVbN4v_sinhf; _ZGVcN8v_sinhf; _ZGVdN8v_sinhf; _ZGVeN16v_sinhf; + _ZGVbN4v_tanhf; _ZGVcN8v_tanhf; _ZGVdN8v_tanhf; _ZGVeN16v_tanhf; _ZGVbN4vv_atan2f; _ZGVcN8vv_atan2f; _ZGVdN8vv_atan2f; _ZGVeN16vv_atan2f; _ZGVbN4vv_hypotf; _ZGVcN8vv_hypotf; _ZGVdN8vv_hypotf; _ZGVeN16vv_hypotf; } diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 929de0e786..bfaad7acef 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -2067,6 +2067,21 @@ float: 3 float128: 3 ldouble: 4 +Function: "tanh_vlen16": +float: 1 + +Function: "tanh_vlen2": +double: 1 + +Function: "tanh_vlen4": +double: 1 + +Function: "tanh_vlen4_avx2": +double: 1 + +Function: "tanh_vlen8": +double: 1 + Function: "tgamma": double: 9 float: 8 diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core-sse2.S new file mode 100644 index 0000000000..35b065fe55 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized tanh, vector length is 2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVbN2v_tanh _ZGVbN2v_tanh_sse2 +#include "../svml_d_tanh2_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core.c new file mode 100644 index 0000000000..d2e63bdc56 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized tanh, vector length is 2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVbN2v_tanh +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN2v_tanh, __GI__ZGVbN2v_tanh, __redirect__ZGVbN2v_tanh) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core_sse4.S new file mode 100644 index 0000000000..35bbb5b04c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh2_core_sse4.S @@ -0,0 +1,1272 @@ +/* Function tanh vectorized with SSE4. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_dtanh_data_internal + */ +#define _dbP 0 +#define _dbSignMask 7680 +#define _dbAbsMask 7696 +#define _iExpMantMask 7712 +#define _iExpMask 7728 +#define _iMinIdxOfsMask 7744 +#define _iMaxIdxMask 7760 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN2v_tanh_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + movaps %xmm0, %xmm13 + movq _iExpMantMask+__svml_dtanh_data_internal(%rip), %xmm14 + lea _dbP+96+__svml_dtanh_data_internal(%rip), %rsi + pshufd $221, %xmm13, %xmm8 + +/* if VMIN, VMAX is defined for I type */ + pxor %xmm10, %xmm10 + movq _iMinIdxOfsMask+__svml_dtanh_data_internal(%rip), %xmm9 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + pand %xmm14, %xmm8 + movdqa %xmm8, %xmm11 + psubd %xmm9, %xmm8 + movq _iMaxIdxMask+__svml_dtanh_data_internal(%rip), %xmm5 + movdqa %xmm8, %xmm6 + movdqa %xmm8, %xmm7 + pcmpgtd %xmm5, %xmm6 + pcmpgtd %xmm10, %xmm7 + movdqa %xmm6, %xmm3 + pand %xmm7, %xmm8 + andps %xmm6, %xmm5 + andnps %xmm8, %xmm3 + orps %xmm5, %xmm3 + +/* + * VSHRIMM( I, iIndex, = iIndex, (17 - 4) ); + * VGATHER_MATRIX( L2D, p, TAB._dbP, iIndex, 0, T_ITEM_SIZE, T_ITEM_GRAN, 13, 0, 0 ); + */ + psrld $10, %xmm3 + movd %xmm3, %eax + pshufd $1, %xmm3, %xmm4 + +/* Constant loading */ + movq _iExpMask+__svml_dtanh_data_internal(%rip), %xmm15 + movd %xmm4, %ecx + pcmpgtd %xmm15, %xmm11 + movmskps %xmm11, %edx + movups _dbAbsMask+__svml_dtanh_data_internal(%rip), %xmm0 + movups _dbSignMask+__svml_dtanh_data_internal(%rip), %xmm12 + andps %xmm13, %xmm0 + movslq %eax, %rax + andps %xmm13, %xmm12 + movslq %ecx, %rcx + movups %xmm13, (%rsp) + movups -96(%rax,%rsi), %xmm11 + movups -96(%rcx,%rsi), %xmm2 + movups -80(%rax,%rsi), %xmm9 + movups -48(%rax,%rsi), %xmm5 + movaps %xmm9, %xmm10 + movups -32(%rax,%rsi), %xmm3 + movaps %xmm5, %xmm6 + movaps %xmm3, %xmm4 + unpckhpd %xmm2, %xmm11 + movups -80(%rcx,%rsi), %xmm13 + movups -48(%rcx,%rsi), %xmm15 + movups -32(%rcx,%rsi), %xmm1 + movups -64(%rax,%rsi), %xmm7 + movups -16(%rax,%rsi), %xmm2 + movaps %xmm7, %xmm8 + unpcklpd %xmm13, %xmm10 + unpckhpd %xmm13, %xmm9 + movups -64(%rcx,%rsi), %xmm14 + movups -16(%rcx,%rsi), %xmm13 + unpcklpd %xmm15, %xmm6 + unpckhpd %xmm15, %xmm5 + unpcklpd %xmm1, %xmm4 + unpckhpd %xmm1, %xmm3 + movaps %xmm2, %xmm1 + movups (%rax,%rsi), %xmm15 + unpcklpd %xmm14, %xmm8 + unpckhpd %xmm14, %xmm7 + unpcklpd %xmm13, %xmm1 + unpckhpd %xmm13, %xmm2 + movaps %xmm15, %xmm13 + movups (%rcx,%rsi), %xmm14 + unpcklpd %xmm14, %xmm13 + addpd %xmm13, %xmm0 + mulpd %xmm0, %xmm2 + addpd %xmm1, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm3, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm4, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm5, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm6, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm7, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm8, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm9, %xmm2 + mulpd %xmm0, %xmm2 + addpd %xmm10, %xmm2 + mulpd %xmm2, %xmm0 + addpd %xmm11, %xmm0 + orps %xmm12, %xmm0 + andl $3, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 edx xmm0 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups (%rsp), %xmm1 + movups %xmm1, 32(%rsp) + movups %xmm0, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 edx xmm0 + + xorl %eax, %eax + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %eax, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %edx, %r13d + movq %r14, (%rsp) + cfi_offset(14, -80) + # LOE rbx rbp r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx rbp r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $2, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx rbp r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm0 + +/* Go to exit */ + jmp L(EXIT) + cfi_offset(12, -64) + cfi_offset(13, -72) + cfi_offset(14, -80) + # LOE rbx rbp r12 r13 r14 r15 xmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 32(%rsp,%r14,8), %xmm0 + call tanh@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movsd %xmm0, 48(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN2v_tanh_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_dtanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _dbP[60*16][2]; + __declspec(align(16)) VUINT32 _dbSignMask[2][2]; + __declspec(align(16)) VUINT32 _dbAbsMask[2][2]; + __declspec(align(16)) VUINT32 _iExpMantMask[4][1]; + __declspec(align(16)) VUINT32 _iExpMask[4][1]; + __declspec(align(16)) VUINT32 _iMinIdxOfsMask[4][1]; + __declspec(align(16)) VUINT32 _iMaxIdxMask[4][1]; +} __svml_dtanh_data_internal; +#endif +__svml_dtanh_data_internal: + /* Polynomial coefficients */ + .quad 0x0000000000000000 /* PL0 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* PH0 = +0.000000000000000000000e-01 */ + .quad 0x3FF0000000000000 /* P1 = +1.000000000000000014103e+00 */ + .quad 0xBD197DEAD79668D3 /* P2 = -2.264132406596103056796e-14 */ + .quad 0xBFD555555553AF3C /* P3 = -3.333333333273349741024e-01 */ + .quad 0xBE052F7CCA134846 /* P4 = -6.165791385711493738399e-10 */ + .quad 0x3FC11111563849D6 /* P5 = +1.333333655353061107201e-01 */ + .quad 0xBEB038623673FFB2 /* P6 = -9.668021563879858950855e-07 */ + .quad 0xBFAB9F685E64022E /* P7 = -5.395055916051593179252e-02 */ + .quad 0xBF2A54E2B28F2207 /* P8 = -2.008940439550829012647e-04 */ + .quad 0x3F97CFB9328A230E /* P9 = +2.325333949059698582189e-02 */ + .quad 0xBF75CA6D61723E02 /* P10 = -5.320002811586290441790e-03 */ + .quad 0x0000000000000000 /* B = +0 */ + .quad 0x3FF0000000000000 /* A = +1.0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C3708A564FAD29A /* PL0 = +1.248663375337163807466e-18 */ + .quad 0x3FC0E6973998DA48 /* PH0 = +1.320370703922029154143e-01 */ + .quad 0x3FEF712EB25C0888 /* P1 = +9.825662120422444519229e-01 */ + .quad 0xBFC09B296F7C1EA9 /* P2 = -1.297351641044220078331e-01 */ + .quad 0xBFD3DD77541EDDA7 /* P3 = -3.103922196855485849143e-01 */ + .quad 0x3FB58FFCF4309615 /* P4 = +8.422833406128689275566e-02 */ + .quad 0x3FBD3ABE845DCF49 /* P5 = +1.141776154670967208833e-01 */ + .quad 0xBFA791DF538C37FA /* P6 = -4.603479285115947936529e-02 */ + .quad 0xBFA4F872F69CD6E8 /* P7 = -4.095801601799370195284e-02 */ + .quad 0x3F9772E49EF6412B /* P8 = +2.289921970583567527179e-02 */ + .quad 0x3F8CBC0807393909 /* P9 = +1.403051635784581776625e-02 */ + .quad 0xBF85F06A30F93319 /* P10 = -1.071246110873285040939e-02 */ + .quad 0xBFC1000000000000 /* B = -.132813 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6004EE5739DEAC /* PL0 = +6.947247374112211856530e-18 */ + .quad 0x3FC2DC968E6E0D62 /* PH0 = +1.473568149050193398786e-01 */ + .quad 0x3FEF4E1E606D96DF /* P1 = +9.782859691010478680677e-01 */ + .quad 0xBFC273BD70994AB9 /* P2 = -1.441571044730005866646e-01 */ + .quad 0xBFD382B548270D2C /* P3 = -3.048527912726111386771e-01 */ + .quad 0x3FB7CD2D582A6B29 /* P4 = +9.297450449450351894400e-02 */ + .quad 0x3FBC1278CCCBF0DB /* P5 = +1.096568584434324642303e-01 */ + .quad 0xBFA9C7F5115B86A1 /* P6 = -5.035367810138536095866e-02 */ + .quad 0xBFA371C21BAF618E /* P7 = -3.797728145554222910481e-02 */ + .quad 0x3F9958943F68417E /* P8 = +2.475196492201935923783e-02 */ + .quad 0x3F8930D5CFFD4152 /* P9 = +1.230017701132682667572e-02 */ + .quad 0xBF875CF7ADD31B76 /* P10 = -1.140779017658897660092e-02 */ + .quad 0xBFC3000000000000 /* B = -.148438 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7EABE24E052A1F /* PL0 = +2.660321779421749543501e-17 */ + .quad 0x3FC4D04783618C71 /* PH0 = +1.626061812886266111366e-01 */ + .quad 0x3FEF2765AF97A4B3 /* P1 = +9.735592298067302883212e-01 */ + .quad 0xBFC443654205FEA5 /* P2 = -1.583067486171689074207e-01 */ + .quad 0xBFD31F2E208A5B97 /* P3 = -2.987780874040536844467e-01 */ + .quad 0x3FB9F235BD339878 /* P4 = +1.013520800512156573576e-01 */ + .quad 0x3FBAD0B0DFCCA141 /* P5 = +1.047468706498238100104e-01 */ + .quad 0xBFABD1B9600E608E /* P6 = -5.433444306908184548967e-02 */ + .quad 0xBFA1CEBEAF07DB58 /* P7 = -3.478046309094534453598e-02 */ + .quad 0x3F9AFC9FB1D8EFD2 /* P8 = +2.635430834764902126383e-02 */ + .quad 0x3F8573444F1AB502 /* P9 = +1.047376028449287564018e-02 */ + .quad 0xBF8874FBC8F24406 /* P10 = -1.194187838544459322219e-02 */ + .quad 0xBFC5000000000000 /* B = -.164063 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7FB199D361A790 /* PL0 = +2.748994907060158996213e-17 */ + .quad 0x3FC6C170259E21F7 /* PH0 = +1.777782615356639783766e-01 */ + .quad 0x3FEEFD17479F7C65 /* P1 = +9.683948897253570478266e-01 */ + .quad 0xBFC609530FE4DF8D /* P2 = -1.721595599753950294577e-01 */ + .quad 0xBFD2B3465D71B4DE /* P3 = -2.921920692959484052676e-01 */ + .quad 0x3FBBFD2D34AC509B /* P4 = +1.093319181057403192166e-01 */ + .quad 0x3FB9778C3C16A0FE /* P5 = +9.948040453912551395183e-02 */ + .quad 0xBFADAC4D9E63C665 /* P6 = -5.795519407719210697372e-02 */ + .quad 0xBFA0139CCAD02D60 /* P7 = -3.139963126894929339124e-02 */ + .quad 0x3F9C5BF43BA6F19D /* P8 = +2.769452680671379432854e-02 */ + .quad 0x3F8190B703350341 /* P9 = +8.576803002712575184772e-03 */ + .quad 0xBF8936606782858A /* P10 = -1.231074634444230850234e-02 */ + .quad 0xBFC7000000000000 /* B = -.179688 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6A917CA3624D50 /* PL0 = +1.152216693509785660691e-17 */ + .quad 0x3FC8AFD7B974FABB /* PH0 = +1.928662925292508878439e-01 */ + .quad 0x3FEECF47624A5D03 /* P1 = +9.628025932060214187231e-01 */ + .quad 0xBFC7C4C2CB4FDE4D /* P2 = -1.856921665891938814679e-01 */ + .quad 0xBFD23F69CB2C1F9D /* P3 = -2.851204380135586155453e-01 */ + .quad 0x3FBDEC5703A03814 /* P4 = +1.168875106670557712458e-01 */ + .quad 0x3FB8095003D0CF15 /* P5 = +9.389209836154706616487e-02 */ + .quad 0xBFAF554B47B10CBB /* P6 = -6.119761705533607365968e-02 */ + .quad 0xBF9C89743FE7BC1B /* P7 = -2.786809577986213853937e-02 */ + .quad 0x3F9D74725B746E7C /* P8 = +2.876452143855921824991e-02 */ + .quad 0x3F7B2D8AFB70B88C /* P9 = +6.635229968237631511880e-03 */ + .quad 0xBF89A0A2883EF6CB /* P10 = -1.251341799058582545252e-02 */ + .quad 0xBFC9000000000000 /* B = -.195313 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7608279E8609CB /* PL0 = +1.910958764623660748269e-17 */ + .quad 0x3FCA9B46D2DDC5E3 /* PH0 = +2.078636674519166172015e-01 */ + .quad 0x3FEE9E0BB72A01A1 /* P1 = +9.567926957534390123919e-01 */ + .quad 0xBFC974FAD10C5330 /* P2 = -1.988824387305156976885e-01 */ + .quad 0xBFD1C40ACCBA4044 /* P3 = -2.775904654781735703430e-01 */ + .quad 0x3FBFBE24E2987853 /* P4 = +1.239951184474830487522e-01 */ + .quad 0x3FB6885B4345E47F /* P5 = +8.801813499839460539687e-02 */ + .quad 0xBFB06563D5670584 /* P6 = -6.404708824176991770896e-02 */ + .quad 0xBF98CD1D620DF6E2 /* P7 = -2.421995078065365147772e-02 */ + .quad 0x3F9E44EF3E844D21 /* P8 = +2.955983943054463683119e-02 */ + .quad 0x3F7325FA0148CAAE /* P9 = +4.674889165971292322643e-03 */ + .quad 0xBF89B4C8556C2D92 /* P10 = -1.255184660614964011319e-02 */ + .quad 0xBFCB000000000000 /* B = -.210938 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6F19DAA20F51D5 /* PL0 = +1.348790537832000351176e-17 */ + .quad 0x3FCC83876CA98E15 /* PH0 = +2.227639465883021474557e-01 */ + .quad 0x3FEE697B662D07CD /* P1 = +9.503762241004040620296e-01 */ + .quad 0xBFCB194C7ED76ACF /* P2 = -2.117095584242946953999e-01 */ + .quad 0xBFD141A19E419762 /* P3 = -2.696308179350720680191e-01 */ + .quad 0x3FC0B89C64BC7B98 /* P4 = +1.306338779331468503007e-01 */ + .quad 0x3FB4F721150BBFC5 /* P5 = +8.189589275184434216748e-02 */ + .quad 0xBFB105AAFAB87898 /* P6 = -6.649273511036069461061e-02 */ + .quad 0xBF94FB3B31248C01 /* P7 = -2.048962104266749732921e-02 */ + .quad 0x3F9ECD31E588709C /* P8 = +3.007963145692880855964e-02 */ + .quad 0x3F664A91A335C105 /* P9 = +2.721104095762541127495e-03 */ + .quad 0xBF89754E32E1E26E /* P10 = -1.243077366619723806134e-02 */ + .quad 0xBFCD000000000000 /* B = -.226563 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6AC6C889D8111D /* PL0 = +1.161245469312620769170e-17 */ + .quad 0x3FCE6864FE55A3D0 /* PH0 = +2.375608674877001114112e-01 */ + .quad 0x3FEE31AEE116B82B /* P1 = +9.435648342384913826391e-01 */ + .quad 0xBFCCB114B69E808B /* P2 = -2.241540805525839833707e-01 */ + .quad 0xBFD0B8AB913BA99D /* P3 = -2.612713735858507980441e-01 */ + .quad 0x3FC1823322BED48A /* P4 = +1.367858810096190233514e-01 */ + .quad 0x3FB35822B7929893 /* P5 = +7.556359273675842651653e-02 */ + .quad 0xBFB18B03CC78D2DA /* P6 = -6.852744810096158580830e-02 */ + .quad 0xBF911CCC3C8D5E5D /* P7 = -1.671141738492420009734e-02 */ + .quad 0x3F9F0DEC2D99B12F /* P8 = +3.032654789278515819797e-02 */ + .quad 0x3F4A28398B4EBD98 /* P9 = +7.982521989244205404918e-04 */ + .quad 0xBF88E60CB2FAB9A4 /* P10 = -1.215753480150000985458e-02 */ + .quad 0xBFCF000000000000 /* B = -.242188 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C89D2B6774FB61D /* PL0 = +4.479593208720169247958e-17 */ + .quad 0x3FD09C744F539BE4 /* PH0 = +2.595492148088267558848e-01 */ + .quad 0x3FEDD823B0400D42 /* P1 = +9.326342050921214825882e-01 */ + .quad 0xBFCEFBF7FF305FCC /* P2 = -2.420644756355144687086e-01 */ + .quad 0xBFCFC01DC4F24A41 /* P3 = -2.480504237797323303990e-01 */ + .quad 0x3FC291A2C26D5548 /* P4 = +1.450694512701977626753e-01 */ + .quad 0x3FB0D562E672D188 /* P5 = +6.575601698097532991976e-02 */ + .quad 0xBFB2201ECC119E06 /* P6 = -7.080261690281738261872e-02 */ + .quad 0xBF8695D50F778D31 /* P7 = -1.102796987010509974642e-02 */ + .quad 0x3F9EEC8CFBC031A0 /* P8 = +3.019924437107734972427e-02 */ + .quad 0xBF6030F0A4D3660A /* P9 = -1.976461417694923328722e-03 */ + .quad 0xBF87845288A4AEF5 /* P10 = -1.148285369398347838494e-02 */ + .quad 0xBFD1000000000000 /* B = -.265625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8B6AAB614D1C8D /* PL0 = +4.756035418366735312727e-17 */ + .quad 0x3FD275F7E1CF7F63 /* PH0 = +2.884502129727392616410e-01 */ + .quad 0x3FED56658F74C9CC /* P1 = +9.167964746359813351341e-01 */ + .quad 0xBFD0ECC045EBD596 /* P2 = -2.644501383614054083635e-01 */ + .quad 0xBFCD5A4BDE179180 /* P3 = -2.293181261476426808811e-01 */ + .quad 0x3FC3C00047D34767 /* P4 = +1.542969084462655120552e-01 */ + .quad 0x3FAAC7CE84FD609F /* P5 = +5.230565427217581251974e-02 */ + .quad 0xBFB288948D2E8B43 /* P6 = -7.239654967137902384931e-02 */ + .quad 0xBF6D6605AAD5A1C0 /* P7 = -3.588687008847041164896e-03 */ + .quad 0x3F9DDB0790848E97 /* P8 = +2.915584392134337382866e-02 */ + .quad 0xBF75FDE291BAD5B4 /* P9 = -5.369076763306269573660e-03 */ + .quad 0xBF84CEA5C52E0A78 /* P10 = -1.015977390284671071888e-02 */ + .quad 0xBFD3000000000000 /* B = -.296875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7139A81C8A6ECF /* PL0 = +1.494049799478574591322e-17 */ + .quad 0x3FD4470650036407 /* PH0 = +3.168350011233659890841e-01 */ + .quad 0x3FECC9A69DFDDD48 /* P1 = +8.996155820631566629678e-01 */ + .quad 0xBFD23DED3A37A09F /* P2 = -2.850297039535778028925e-01 */ + .quad 0xBFCAD302395D51C1 /* P3 = -2.095644741153943890185e-01 */ + .quad 0x3FC4A8FE3F309C22 /* P4 = +1.614072617096278705115e-01 */ + .quad 0x3FA3D161188AA436 /* P5 = +3.870681213931741151586e-02 */ + .quad 0xBFB288CFE5494E98 /* P6 = -7.240008685885823969403e-02 */ + .quad 0x3F6C7903EED8D334 /* P7 = +3.475673371918475361081e-03 */ + .quad 0x3F9BE023CDFB02F6 /* P8 = +2.722221321778569498033e-02 */ + .quad 0xBF80F8296F2C3A95 /* P9 = -8.285831170295390358336e-03 */ + .quad 0xBF8152DF4790049B /* P10 = -8.458847400108650973189e-03 */ + .quad 0xBFD5000000000000 /* B = -.328125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7751FE0FEE8335 /* PL0 = +2.022712113430213599928e-17 */ + .quad 0x3FD60EF7120502A9 /* PH0 = +3.446633983585721261456e-01 */ + .quad 0x3FEC32D951E56E6F /* P1 = +8.812071418319202070776e-01 */ + .quad 0xBFD370255FC004F8 /* P2 = -3.037198481616338996824e-01 */ + .quad 0xBFC832F0EBC6BB41 /* P3 = -1.890545989276351359107e-01 */ + .quad 0x3FC54C99A0FF432F /* P4 = +1.664001499289269127540e-01 */ + .quad 0x3F99DAC0CC283C18 /* P5 = +2.524853941036661688369e-02 */ + .quad 0xBFB227B3896A026D /* P6 = -7.091829399906553280461e-02 */ + .quad 0x3F84663364E1FB19 /* P7 = +9.960557476231411602383e-03 */ + .quad 0x3F9922D70DE07C57 /* P8 = +2.454696676442965935283e-02 */ + .quad 0xBF85C4A4EB6F86BC /* P9 = -1.062897532932837635222e-02 */ + .quad 0xBF7AAB61214FFE17 /* P10 = -6.511096396024671890972e-03 */ + .quad 0xBFD7000000000000 /* B = -.359375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3BFE67F266843B2C /* PL0 = +1.030196791298162288777e-19 */ + .quad 0x3FD7CD3115FC0F16 /* PH0 = +3.718989100163850869407e-01 */ + .quad 0x3FEB92F96CCC2C5B /* P1 = +8.616912007286247079761e-01 */ + .quad 0xBFD4827320135092 /* P2 = -3.204620183216856200247e-01 */ + .quad 0xBFC582B15550168A /* P3 = -1.680509249273891977521e-01 */ + .quad 0x3FC5AC3B9A2E4C31 /* P4 = +1.693186285816366254244e-01 */ + .quad 0x3F88FA599FCADAFB /* P5 = +1.219625491044728129762e-02 */ + .quad 0xBFB16EC8F5CA169E /* P6 = -6.809669495313605642174e-02 */ + .quad 0x3F90140EFC748BBE /* P7 = +1.570151725639922719844e-02 */ + .quad 0x3F95CFC49C1A28DC /* P8 = +2.130038454792147768770e-02 */ + .quad 0xBF8946ED8B1BF454 /* P9 = -1.234231549050882816697e-02 */ + .quad 0xBF7239E55C1DD50F /* P10 = -4.449745117985472755606e-03 */ + .quad 0xBFD9000000000000 /* B = -.390625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6412330191189C /* PL0 = +8.704448096175471149661e-18 */ + .quad 0x3FD9812B3B03F0A5 /* PH0 = +3.985088421175169703936e-01 */ + .quad 0x3FEAEB08C3C0E84D /* P1 = +8.411907027541559254748e-01 */ + .quad 0xBFD57446B1BC46CF /* P2 = -3.352219329545790787820e-01 */ + .quad 0xBFC2CA9ABC0444AD /* P3 = -1.468079965639267634401e-01 */ + .quad 0x3FC5CA95F9460D18 /* P4 = +1.702449290424759093710e-01 */ + .quad 0xBF2C2DAA35DD05C3 /* P5 = -2.149839664813813012186e-04 */ + .quad 0xBFB069A516EEB75D /* P6 = -6.411201295733578195472e-02 */ + .quad 0x3F9512716416FDC7 /* P7 = +2.057816670798986720058e-02 */ + .quad 0x3F921630CB1319A3 /* P8 = +1.766277541607908852593e-02 */ + .quad 0xBF8B76DA2EC99526 /* P9 = -1.341028647693549562145e-02 */ + .quad 0xBF63A97474A161E4 /* P10 = -2.400138332671485493040e-03 */ + .quad 0xBFDB000000000000 /* B = -.421875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C89B79F5783381C /* PL0 = +4.461236087774530799537e-17 */ + .quad 0x3FDB2A6C993B829D /* PH0 = +4.244643684778937609003e-01 */ + .quad 0x3FEA3C0C1FBA328C /* P1 = +8.198299998926627915155e-01 */ + .quad 0xBFD6457212F78DE0 /* P2 = -3.479886231636708581604e-01 */ + .quad 0xBFC0129BDA380A66 /* P3 = -1.255678954622282824818e-01 */ + .quad 0x3FC5AB77F388FBDE /* P4 = +1.692953051696965507089e-01 */ + .quad 0xBF8822F3A6CADB7C /* P5 = -1.178541519889874597783e-02 */ + .quad 0xBFAE4A876370A4BD /* P6 = -5.916236008517603590739e-02 */ + .quad 0x3F991A89BC3B7710 /* P7 = +2.451529704455085335710e-02 */ + .quad 0x3F8C4A4328204D4B /* P8 = +1.381351915555364098800e-02 */ + .quad 0xBF8C5F921D01EC0B /* P9 = -1.385416174911393178490e-02 */ + .quad 0xBF3EE844C5B79FB8 /* P10 = -4.716079617694784908234e-04 */ + .quad 0xBFDD000000000000 /* B = -.453125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C73FA437AD7AD87 /* PL0 = +1.732779905745858845932e-17 */ + .quad 0x3FDCC88C9902CF45 /* PH0 = +4.497405523536495697279e-01 */ + .quad 0x3FE9870845162D1D /* P1 = +7.977334355686341748810e-01 */ + .quad 0xBFD6F62358F73DA8 /* P2 = -3.587730759436120677668e-01 */ + .quad 0xBFBAC4345D675FE1 /* P3 = -1.045563438450467661101e-01 */ + .quad 0x3FC5539DA8287019 /* P4 = +1.666142531474868131862e-01 */ + .quad 0xBF96E3E0DC04A09F /* P5 = -2.235366194614185212822e-02 */ + .quad 0xBFAB5EC7147C207D /* P6 = -5.345747113284546871398e-02 */ + .quad 0x3F9C24166FFA7A58 /* P7 = +2.748141344511120915667e-02 */ + .quad 0x3F8451B907819844 /* P8 = +9.921498815128277696693e-03 */ + .quad 0xBF8C1C6D19191FCB /* P9 = -1.372609360545586670239e-02 */ + .quad 0x3F547372DF72E35A /* P10 = +1.248228245272117756098e-03 */ + .quad 0xBFDF000000000000 /* B = -.484375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C848FE06EE49950 /* PL0 = +3.566941590788961528958e-17 */ + .quad 0x3FDF20211A36475D /* PH0 = +4.863360172249622803697e-01 */ + .quad 0x3FE86E67E6B80AC2 /* P1 = +7.634772783497611574659e-01 */ + .quad 0xBFD7C37C55474D9B /* P2 = -3.713064987943767913461e-01 */ + .quad 0xBFB2EBF15F3CB036 /* P3 = -7.391270232318521952684e-02 */ + .quad 0x3FC4718C8EF6E3AA /* P4 = +1.597152422016539530950e-01 */ + .quad 0xBFA277F8394E9B07 /* P5 = -3.607154559658991932071e-02 */ + .quad 0xBFA680312AB207E3 /* P6 = -4.394677778419955009224e-02 */ + .quad 0x3F9EDC9A8B57E286 /* P7 = +3.013841128810892143223e-02 */ + .quad 0x3F71B8C5E648EAF6 /* P8 = +4.326603932492947851719e-03 */ + .quad 0xBF89DB218356730C /* P9 = -1.262499029217558458029e-02 */ + .quad 0x3F6B05728E6EBC8E /* P10 = +3.298496001171330815865e-03 */ + .quad 0xBFE1000000000000 /* B = -.53125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8429831EDD94DE /* PL0 = +3.497576705878673192147e-17 */ + .quad 0x3FE10AF47E0BF610 /* PH0 = +5.325872861719194162333e-01 */ + .quad 0x3FE6EC5879F87EEE /* P1 = +7.163507826080299761242e-01 */ + .quad 0xBFD86AD001BFE200 /* P2 = -3.815193192563413204129e-01 */ + .quad 0xBFA239045B661385 /* P3 = -3.559125533778398983564e-02 */ + .quad 0x3FC2B4572D9CC147 /* P4 = +1.461285565105845078038e-01 */ + .quad 0xBFA99F4F01740705 /* P5 = -5.004355328311586406115e-02 */ + .quad 0xBF9F449C484F4879 /* P6 = -3.053516570418721511214e-02 */ + .quad 0x3F9F5F42169D7DDE /* P7 = +3.063681853325116830798e-02 */ + .quad 0xBF6111B1BA632A97 /* P8 = -2.083632588527460989469e-03 */ + .quad 0xBF84725FBE5B6E61 /* P9 = -9.983776089419639342530e-03 */ + .quad 0x3F7438A2986CFA9C /* P10 = +4.936823976832951342488e-03 */ + .quad 0xBFE3000000000000 /* B = -.59375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BE9160BFB3505 /* PL0 = +1.210424670976053242391e-17 */ + .quad 0x3FE26D76F73233C7 /* PH0 = +5.758623912857893101247e-01 */ + .quad 0x3FE56363B5B93937 /* P1 = +6.683825063026124740752e-01 */ + .quad 0xBFD8A2244B27297E /* P2 = -3.848963483730115724200e-01 */ + .quad 0xBF52CA2F101EEF63 /* P3 = -1.146837196286797844817e-03 */ + .quad 0x3FC081BC342243AD /* P4 = +1.289592032012739958675e-01 */ + .quad 0xBFAE38DB4A932344 /* P5 = -5.902753148399722719732e-02 */ + .quad 0xBF91F814D4AE90C6 /* P6 = -1.754791782481459457885e-02 */ + .quad 0x3F9D056AE193C4F3 /* P7 = +2.834097863973723355792e-02 */ + .quad 0xBF7BD0B502D8F3A0 /* P8 = -6.790835451792626336974e-03 */ + .quad 0xBF7B763F7BB8AE2F /* P9 = -6.704566938008179114124e-03 */ + .quad 0x3F76036F42D9AB69 /* P10 = +5.374369252971835729099e-03 */ + .quad 0xBFE5000000000000 /* B = -.65625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8B64AF0450486E /* PL0 = +4.751979286662385162741e-17 */ + .quad 0x3FE3B75F8BCB742D /* PH0 = +6.161344271055263499548e-01 */ + .quad 0x3FE3DA23BC12369F /* P1 = +6.203783677353447780947e-01 */ + .quad 0xBFD8768FF4B46416 /* P2 = -3.822364701932782367281e-01 */ + .quad 0x3F9D67CB8AD9CB1A /* P3 = +2.871625933625941117406e-02 */ + .quad 0x3FBC168CB7827DF4 /* P4 = +1.097190807363331305006e-01 */ + .quad 0xBFB03A2B83C9272E /* P5 = -6.338760344911228324430e-02 */ + .quad 0xBF789FEB595297DC /* P6 = -6.011885959344067548074e-03 */ + .quad 0x3F98BD01B4C335E7 /* P7 = +2.415850320612902513532e-02 */ + .quad 0xBF83BADC303D6535 /* P8 = -9.633751127398152979976e-03 */ + .quad 0xBF6C54E7A1C1E3F3 /* P9 = -3.458454519258407989501e-03 */ + .quad 0x3F7408394B7EF3E7 /* P10 = +4.890655334688332484537e-03 */ + .quad 0xBFE7000000000000 /* B = -.71875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6A48557F6E0D3E /* PL0 = +1.139824111505584215867e-17 */ + .quad 0x3FE4E8D895B010DC /* PH0 = +6.534235881413468227663e-01 */ + .quad 0x3FE25652FAAF8A73 /* P1 = +5.730376144604875448991e-01 */ + .quad 0xBFD7F6C3A57C444B /* P2 = -3.744362941807295084434e-01 */ + .quad 0x3FAB7866E3F99EBE /* P3 = +5.365296872042567001598e-02 */ + .quad 0x3FB6FA1DF47CCD40 /* P4 = +8.975398272450707099784e-02 */ + .quad 0xBFB05508D3741B8E /* P5 = -6.379752314033580026840e-02 */ + .quad 0x3F6C3EFDF7BB279C /* P6 = +3.448005705512137236209e-03 */ + .quad 0x3F9372BADD6D3E27 /* P7 = +1.899234749299530050806e-02 */ + .quad 0xBF860FD5AE65F3DA /* P8 = -1.077238977881649471165e-02 */ + .quad 0xBF47266FFB07E628 /* P9 = -7.064863949032872448118e-04 */ + .quad 0x3F6F9763992C2A05 /* P10 = +3.856367614735181120799e-03 */ + .quad 0xBFE9000000000000 /* B = -.78125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BB6A2B194E3AB /* PL0 = +1.201878007209462528697e-17 */ + .quad 0x3FE602609AAE7C22 /* PH0 = +6.877902051090851731630e-01 */ + .quad 0x3FE0DCBAFE191C7F /* P1 = +5.269446337560025312137e-01 */ + .quad 0xBFD732028428A9FB /* P2 = -3.624273577321727538225e-01 */ + .quad 0x3FB2D92389BE065B /* P3 = +7.362577545975439796588e-02 */ + .quad 0x3FB1F6A9C8C49993 /* P4 = +7.017003203927733370937e-02 */ + .quad 0xBFAF47C0B50B56EE /* P5 = -6.109430513394707378526e-02 */ + .quad 0x3F85A8EDD1356223 /* P6 = +1.057611269668352068104e-02 */ + .quad 0x3F8BE05C5CD1B4FA /* P7 = +1.361152799855823798207e-02 */ + .quad 0xBF85A0EFE4552F76 /* P8 = -1.056086936537046752272e-02 */ + .quad 0x3F559F2A6A356194 /* P9 = +1.319686337259627831943e-03 */ + .quad 0x3F6576F5E989208D /* P10 = +2.620201394425042596201e-03 */ + .quad 0xBFEB000000000000 /* B = -.84375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C80328BD86C8B74 /* PL0 = +2.809809047161267929701e-17 */ + .quad 0x3FE704BB1B7FCB81 /* PH0 = +7.193275010198335595035e-01 */ + .quad 0x3FDEE264AAD6C40C /* P1 = +4.825679462765613089739e-01 */ + .quad 0xBFD637493CE659F1 /* P2 = -3.471243948673921548357e-01 */ + .quad 0x3FB6BE3A3DEE6F4A /* P3 = +8.884014141079635303208e-02 */ + .quad 0x3FAA85EB6470AC0F /* P4 = +5.180297471118688523488e-02 */ + .quad 0xBFACC0146EA4858D /* P5 = -5.615295267694895314457e-02 */ + .quad 0x3F8F8FB683CDDAC5 /* P6 = +1.541082944616557159055e-02 */ + .quad 0x3F819515DEE2CB91 /* P7 = +8.585139145315585602547e-03 */ + .quad 0xBF834E45E6AF9EA1 /* P8 = -9.426637747267209169415e-03 */ + .quad 0x3F65250F197CA56D /* P9 = +2.581147662472352252568e-03 */ + .quad 0x3F57A766026D036C /* P10 = +1.443719500187702367690e-03 */ + .quad 0xBFED000000000000 /* B = -.90625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C716F7EEF7B61AD /* PL0 = +1.512291215142578135651e-17 */ + .quad 0x3FE7F0E1A4CD846E /* PH0 = +7.481544703297353660076e-01 */ + .quad 0x3FDC2D4CC872DC09 /* P1 = +4.402648885256331012598e-01 */ + .quad 0xBFD514A99F92ED53 /* P2 = -3.293861444796750250530e-01 */ + .quad 0x3FB9846A6CF2F337 /* P3 = +9.967675361526749494844e-02 */ + .quad 0x3FA20896939AB161 /* P4 = +3.522177268800664413493e-02 */ + .quad 0xBFA97E801F31EE0D /* P5 = -4.979324703978358553405e-02 */ + .quad 0x3F92A11F47B82085 /* P6 = +1.819275737037219740638e-02 */ + .quad 0x3F717D70FE289C34 /* P7 = +4.270020845559097605514e-03 */ + .quad 0xBF7FDCF1D3F6CE2D /* P8 = -7.779068604054678540132e-03 */ + .quad 0x3F69F607E81AF6B6 /* P9 = +3.169074480722534625181e-03 */ + .quad 0x3F3F925C80D0F889 /* P10 = +4.817462766516585511824e-04 */ + .quad 0xBFEF000000000000 /* B = -.96875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C931A11D7E8606E /* PL0 = +6.627280241435322692188e-17 */ + .quad 0x3FE92BFB370D9B71 /* PH0 = +7.866188121086975515439e-01 */ + .quad 0x3FD866160E454111 /* P1 = +3.812308444367014680480e-01 */ + .quad 0xBFD33149F3801DBA /* P2 = -2.998833539899937679796e-01 */ + .quad 0x3FBBDB6D4C949899 /* P3 = +1.088169395412442909023e-01 */ + .quad 0x3F8D6AB2A74B9343 /* P4 = +1.436366627735597372494e-02 */ + .quad 0xBFA404D1047C5D72 /* P5 = -3.909924678571997970917e-02 */ + .quad 0x3F93C47D9ACCD919 /* P6 = +1.930423981976856424661e-02 */ + .quad 0xBF41B755642CFF1B /* P7 = -5.406538915408738478158e-04 */ + .quad 0xBF74B5301AA1E788 /* P8 = -5.055606752756853900641e-03 */ + .quad 0x3F69A84C5B2A3E68 /* P9 = +3.132008679422249529120e-03 */ + .quad 0xBF3CF47830328C11 /* P10 = -4.418176105877589308931e-04 */ + .quad 0xBFF1000000000000 /* B = -1.0625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C884D471B8FD396 /* PL0 = +4.215701792312937090514e-17 */ + .quad 0x3FEA8DBCBC31897A /* PH0 = +8.298019099859594849278e-01 */ + .quad 0x3FD3EE730537C8EA /* P1 = +3.114287901836535219818e-01 */ + .quad 0xBFD08A05AD27CE32 /* P2 = -2.584242049190123217982e-01 */ + .quad 0x3FBC5255406F84B6 /* P3 = +1.106313021005175045399e-01 */ + .quad 0xBF772FA2F633AA5E /* P4 = -5.660664147607434209241e-03 */ + .quad 0xBF99DD8E4C473FC4 /* P5 = -2.525923100057504533247e-02 */ + .quad 0x3F9183C935B6495D /* P6 = +1.710428610165003372069e-02 */ + .quad 0xBF70471A3A591480 /* P7 = -3.974058583087303228038e-03 */ + .quad 0xBF603DDD4DEBB9A4 /* P8 = -1.982624278176818987264e-03 */ + .quad 0x3F62591E44D3C17F /* P9 = +2.239760512218135956425e-03 */ + .quad 0xBF4C195D3A9B1AB4 /* P10 = -8.575158328419569430544e-04 */ + .quad 0xBFF3000000000000 /* B = -1.1875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C90DD1C9BFF7F64 /* PL0 = +5.850777430004479798187e-17 */ + .quad 0x3FEBAD50A4A68BC1 /* PH0 = +8.649066177207417327466e-01 */ + .quad 0x3FD01FBA72CEE1A5 /* P1 = +2.519365426228666233893e-01 */ + .quad 0xBFCBE432F647C4D6 /* P2 = -2.179015829602010702633e-01 */ + .quad 0x3FBABF92B6E5AC73 /* P3 = +1.044856735731387955105e-01 */ + .quad 0xBF922983AA24E217 /* P4 = -1.773648954369563555378e-02 */ + .quad 0xBF8C72214C14E23A /* P5 = -1.388956082756564056328e-02 */ + .quad 0x3F8ACB4D1F388E8B /* P6 = +1.308307887581540972153e-02 */ + .quad 0xBF740EF8B4A2EE3B /* P7 = -4.897090441029978580995e-03 */ + .quad 0xBF0EA9F30C8DC900 /* P8 = -5.848668076326342477133e-05 */ + .quad 0x3F53CC40D18713AE /* P9 = +1.208365725788622757410e-03 */ + .quad 0xBF4848B86029CBA1 /* P10 = -7.410908004444779592485e-04 */ + .quad 0xBFF5000000000000 /* B = -1.3125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8FB61781D22681 /* PL0 = +5.501032995458057064843e-17 */ + .quad 0x3FEC950A3340C8BF /* PH0 = +8.931933404003514764824e-01 */ + .quad 0x3FC9E1DFFD385423 /* P1 = +2.022056566644617586005e-01 */ + .quad 0xBFC71E2FF88EBA23 /* P2 = -1.806087459239772032583e-01 */ + .quad 0x3FB80AEBD07AB5BA /* P3 = +9.391664352252506838449e-02 */ + .quad 0xBF98404E27EAE6ED /* P4 = -2.368280523908243895884e-02 */ + .quad 0xBF772DA520B5006E /* P5 = -5.658764868087568802107e-03 */ + .quad 0x3F824C9268AF9423 /* P6 = +8.935111827620250551925e-03 */ + .quad 0xBF722AE76D206AE3 /* P7 = -4.435447701349490160113e-03 */ + .quad 0x3F4B807F56298D5E /* P8 = +8.392926941493230644497e-04 */ + .quad 0x3F3D71027DF95D2A /* P9 = +4.492407879061627603159e-04 */ + .quad 0xBF3EBD17676755FB /* P10 = -4.690343988874298905483e-04 */ + .quad 0xBFF7000000000000 /* B = -1.4375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C95393C63CE8224 /* PL0 = +7.363407705201031038415e-17 */ + .quad 0x3FED4E6F464286B0 /* PH0 = +9.158245441687622445670e-01 */ + .quad 0x3FC4A45842B7DE1E /* P1 = +1.612654042980787191461e-01 */ + .quad 0xBFC2E7885AFDD3D0 /* P2 = -1.476908153814791087327e-01 */ + .quad 0x3FB4DD6DD51D3FEB /* P3 = +8.150373890862254580204e-02 */ + .quad 0xBF9A05D3ADAB489C /* P4 = -2.541285274021075503042e-02 */ + .quad 0xBF3459B643B4995C /* P5 = -3.105230313899165257622e-04 */ + .quad 0x3F766B30745F2E3A /* P6 = +5.473317409222350365811e-03 */ + .quad 0xBF6C2C891E555BDF /* P7 = -3.439204988051155730940e-03 */ + .quad 0x3F5194F30D6C576D /* P8 = +1.073109966176012791522e-03 */ + .quad 0x3EF4DBB43C3132A2 /* P9 = +1.989194766975849961365e-05 */ + .quad 0xBF2E45EBAB3C15A0 /* P10 = -2.309656316514087783666e-04 */ + .quad 0xBFF9000000000000 /* B = -1.5625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C75111669651DAA /* PL0 = +1.827249135453834384396e-17 */ + .quad 0x3FEDE1EB5937518F /* PH0 = +9.338280432225917193634e-01 */ + .quad 0x3FC06129C7C8EBB1 /* P1 = +1.279651856910653382507e-01 */ + .quad 0xBFBE9763041064E1 /* P2 = -1.194974789545031421774e-01 */ + .quad 0x3FB1A5B9F9113928 /* P3 = +6.893503504509068635308e-02 */ + .quad 0xBF992145039F9AFE /* P4 = -2.454097590080105816526e-02 */ + .quad 0x3F66CB116EA49C89 /* P5 = +2.782377288116648315142e-03 */ + .quad 0x3F67F972FDF30001 /* P6 = +2.926563829163342740100e-03 */ + .quad 0xBF63A7B5975F02F3 /* P7 = -2.399305983061922438601e-03 */ + .quad 0x3F4FDE7B8777F4C8 /* P8 = +9.725669069095216373599e-04 */ + .quad 0xBF25918876626BA4 /* P9 = -1.645545082212515656240e-04 */ + .quad 0xBF1495123C991F00 /* P10 = -7.851527984669912693674e-05 */ + .quad 0xBFFB000000000000 /* B = -1.6875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9F29A5B7426D27 /* PL0 = +1.081172820484012446345e-16 */ + .quad 0x3FEE56B6F3EFABFC /* PH0 = +9.480852856044061915952e-01 */ + .quad 0x3FB9E3EFD94BB9FC /* P1 = +1.011342912204113371518e-01 */ + .quad 0xBFB88BD9760FECA7 /* P2 = -9.588393337610288420285e-02 */ + .quad 0x3FAD48A0350B3ACF /* P3 = +5.719471595295077387313e-02 */ + .quad 0xBF96CC6A5110F129 /* P4 = -2.226415748394675367257e-02 */ + .quad 0x3F71934687170384 /* P5 = +4.290843485649345772606e-03 */ + .quad 0x3F5407BAF73B3DF9 /* P6 = +1.222546180475235334287e-03 */ + .quad 0xBF591B626C0646DD /* P7 = -1.532407870488964407324e-03 */ + .quad 0x3F48B0E1DD283558 /* P8 = +7.535078860329375669277e-04 */ + .quad 0xBF2B322292840D2B /* P9 = -2.074877932117605962646e-04 */ + .quad 0xBE99E4061120C741 /* P10 = -3.858017559892704559672e-07 */ + .quad 0xBFFD000000000000 /* B = -1.8125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6AF8C2041C67CD /* PL0 = +1.169711482626385762338e-17 */ + .quad 0x3FEEB2DFEDD5EC93 /* PH0 = +9.593352933146824801369e-01 */ + .quad 0x3FB465A205CFB638 /* P1 = +7.967579500083210999681e-02 */ + .quad 0xBFB3914BF68D39FF /* P2 = -7.643580216720378576778e-02 */ + .quad 0x3FA7F21A08C5C734 /* P3 = +4.676896435820623621673e-02 */ + .quad 0xBF93DA9560EA9960 /* P4 = -1.938851741820124550772e-02 */ + .quad 0x3F73953FEC62820E /* P5 = +4.781007481284861359820e-03 */ + .quad 0x3F2749D5E1273E3C /* P6 = +1.776765426044646108071e-04 */ + .quad 0xBF4D46B0B498CE5A /* P7 = -8.934367007839658352859e-04 */ + .quad 0x3F4153D680E1F4C4 /* P8 = +5.287930851093571206574e-04 */ + .quad 0xBF28477014ECA6A2 /* P9 = -1.852344816708944640949e-04 */ + .quad 0x3EFFAC54E07CEB4B /* P10 = +3.020588886147182143902e-05 */ + .quad 0xBFFF000000000000 /* B = -1.9375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7A8AF2BB2231F2 /* PL0 = +2.302217989249372577466e-17 */ + .quad 0x3FEF1994DF724FC8 /* PH0 = +9.718727459135090285258e-01 */ + .quad 0x3FAC65B1BC0C9D58 /* P1 = +5.546336575053583942603e-02 */ + .quad 0xBFAB9937BDA747C8 /* P2 = -5.390333356957871365599e-02 */ + .quad 0x3FA15B42D9EF931C /* P3 = +3.389939222669210777241e-02 */ + .quad 0xBF8EACD8E8507A3C /* P4 = -1.497811755149058215502e-02 */ + .quad 0x3F7263A15721C682 /* P5 = +4.489546046998806349050e-03 */ + .quad 0xBF42A032ACDC3B32 /* P6 = -5.684134900735048121829e-04 */ + .quad 0xBF3431E79B5AD185 /* P7 = -3.081503340170088810438e-04 */ + .quad 0x3F31B51667C7DF5E /* P8 = +2.701930714290502424828e-04 */ + .quad 0xBF1F8709579250AD /* P9 = -1.202678157759563704341e-04 */ + .quad 0x3F01ED8ED1BF9595 /* P10 = +3.419487094883790833778e-05 */ + .quad 0xC001000000000000 /* B = -2.125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C86F3F7C3DAFC55 /* PL0 = +3.981710680748877459333e-17 */ + .quad 0x3FEF73776B2AA2DB /* PH0 = +9.828450291725759901951e-01 */ + .quad 0x3FA16A7FC4D7B900 /* P1 = +3.401564863075812007064e-02 */ + .quad 0xBFA11E03803AD621 /* P2 = -3.343211117082156940532e-02 */ + .quad 0x3F9609591597297F /* P3 = +2.152003473546803654658e-02 */ + .quad 0xBF847E74ED9BBB0C /* P4 = -1.000682211039596246436e-02 */ + .quad 0x3F6BFF771725CD65 /* P5 = +3.417713736035987187864e-03 */ + .quad 0xBF491D1FF73C18FA /* P6 = -7.664114077392807421000e-04 */ + .quad 0x3EF53EE467B51DC5 /* P7 = +2.026145237479599375099e-05 */ + .quad 0x3F160135BE0D94A0 /* P8 = +8.394136922403255700685e-05 */ + .quad 0xBF0B32CB1D276A40 /* P9 = -5.187685350778849443841e-05 */ + .quad 0x3EF4DAF70C12D555 /* P10 = +1.988919462255396826584e-05 */ + .quad 0xC003000000000000 /* B = -2.375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C19DBF4E2E5B7DC /* PL0 = +3.504575836708380670219e-19 */ + .quad 0x3FEFAA7934B75EBD /* PH0 = +9.895597486128832054320e-01 */ + .quad 0x3F9545200830A42C /* P1 = +2.077150392520736492125e-02 */ + .quad 0xBF950C46D285F6BC /* P2 = -2.055464420253970271376e-02 */ + .quad 0x3F8B79F5BFC6513F /* P3 = +1.341621390819425058164e-02 */ + .quad 0xBF7A50ADAD777898 /* P4 = -6.424597194806612772505e-03 */ + .quad 0x3F633A19BE8255E3 /* P5 = +2.347040444940816227383e-03 */ + .quad 0xBF44E609BC2557B7 /* P6 = -6.377742322836087134324e-04 */ + .quad 0x3F1AFCBAD60EAACD /* P7 = +1.029480968230231421206e-04 */ + .quad 0x3EE80476AC34A8EF /* P8 = +1.145240583485084317660e-05 */ + .quad 0xBEF278E23DE463E9 /* P9 = -1.761646478213091821804e-05 */ + .quad 0x3EE209FAF377264D /* P10 = +8.601658563106529694651e-06 */ + .quad 0xC005000000000000 /* B = -2.625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C979D62702C631C /* PL0 = +8.193023793215066385979e-17 */ + .quad 0x3FEFCC04CDBCDC4B /* PH0 = +9.936546343150295390600e-01 */ + .quad 0x3F89E87D088D269A /* P1 = +1.265046770426474576547e-02 */ + .quad 0xBF89BE6721012B80 /* P2 = -1.257019586059526836624e-02 */ + .quad 0x3F80F1C13E8D39D3 /* P3 = +8.273610803056031004326e-03 */ + .quad 0xBF7082DBC9602757 /* P4 = -4.031046430108839563004e-03 */ + .quad 0x3F590BE9BD4E0A11 /* P5 = +1.528719197467002507978e-03 */ + .quad 0xBF3DCC2BEF6D0283 /* P6 = -4.546744598208711809986e-04 */ + .quad 0x3F1A08065C4A8E85 /* P7 = +9.930170842636406837764e-05 */ + .quad 0xBEE528117D0410F3 /* P8 = -1.008821337267942266431e-05 */ + .quad 0xBED0BE73A44FF565 /* P9 = -3.992069257383521775961e-06 */ + .quad 0x3EC9B0C11E342E38 /* P10 = +3.062539904901699218737e-06 */ + .quad 0xC007000000000000 /* B = -2.875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C804B931AD7A3CC /* PL0 = +2.826768921701616830245e-17 */ + .quad 0x3FEFE06EB0688212 /* PH0 = +9.961465306733450209009e-01 */ + .quad 0x3F7F81BD8876224D /* P1 = +7.692089427458426472642e-03 */ + .quad 0xBF7F62A8C699A963 /* P2 = -7.662448196791823756776e-03 */ + .quad 0x3F74C31E2B2A6A28 /* P3 = +5.068891378551522166321e-03 */ + .quad 0xBF6470D537F16227 /* P4 = -2.495209162173734080001e-03 */ + .quad 0x3F4FAEEF61C89673 /* P5 = +9.668988091717359455754e-04 */ + .quad 0xBF33C5E80B349783 /* P6 = -3.017131341088651514023e-04 */ + .quad 0x3F138F3D31037A6B /* P7 = +7.461367590931028650557e-05 */ + .quad 0xBEEB3C780996FFE3 /* P8 = -1.298723536791163711556e-05 */ + .quad 0x3E9D0C75BC8BFEFC /* P9 = +4.328589367358221917138e-07 */ + .quad 0x3EAC3865227764D4 /* P10 = +8.410302755848104487452e-07 */ + .quad 0xC009000000000000 /* B = -3.125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C5B978B202749F9 /* PL0 = +5.983054034451594408315e-18 */ + .quad 0x3FEFECD6B7EA3128 /* PH0 = +9.976609794698889643882e-01 */ + .quad 0x3F73238B786137FE /* P1 = +4.672570043181776968058e-03 */ + .quad 0xBF731815ACEA072E /* P2 = -4.661640805922390930706e-03 */ + .quad 0x3F6956F0816D5AEE /* P3 = +3.093213784647877798933e-03 */ + .quad 0xBF591A16286C4885 /* P4 = -1.532098425461232453877e-03 */ + .quad 0x3F43B3E3A00C6096 /* P5 = +6.012784434430592468442e-04 */ + .quad 0xBF29441B2A56DEC7 /* P6 = -1.927645836710038499293e-04 */ + .quad 0x3F0A99C3A2E857B6 /* P7 = +5.073669705184196724674e-05 */ + .quad 0xBEE61CB034DDC151 /* P8 = -1.054385361573597042258e-05 */ + .quad 0x3EB792BBC76D6107 /* P9 = +1.405070887824641788698e-06 */ + .quad 0x3E761472362A16F0 /* P10 = +8.225391704739515383837e-08 */ + .quad 0xC00B000000000000 /* B = -3.375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9C290AFCBDE00D /* PL0 = +9.770074992945060684926e-17 */ + .quad 0x3FEFF45F6D36133A /* PH0 = +9.985806592017987259879e-01 */ + .quad 0x3F673CEC093032DE /* P1 = +2.836667068100913999228e-03 */ + .quad 0xBF67347A7CD844D5 /* P2 = -2.832640870800243808078e-03 */ + .quad 0x3F5EDA25530355DB /* P3 = +1.883064698679040793627e-03 */ + .quad 0xBF4EAD3BBABC1BA9 /* P4 = -9.361783645268534848806e-04 */ + .quad 0x3F3842E61CD35432 /* P5 = +3.701984213198588740338e-04 */ + .quad 0xBF1F9AB7FD1A3DDD /* P6 = -1.205611036090218544867e-04 */ + .quad 0x3F0136C154EA3DED /* P7 = +3.283288480304320224929e-05 */ + .quad 0xBEDF12807F721E66 /* P8 = -7.408207230892235753013e-06 */ + .quad 0x3EB5B53687AD5112 /* P9 = +1.293889481520047941659e-06 */ + .quad 0xBE801E90FBFED147 /* P10 = -1.200988872775447204019e-07 */ + .quad 0xC00D000000000000 /* B = -3.625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9E323294294877 /* PL0 = +1.047637125334028950603e-16 */ + .quad 0x3FEFF8F21CDAAA62 /* PH0 = +9.991388858373506653976e-01 */ + .quad 0x3F5C3470628813F2 /* P1 = +1.721486807697344658108e-03 */ + .quad 0xBF5C2E38AC6FF8D2 /* P2 = -1.720004411026422324849e-03 */ + .quad 0x3F52C13234626F43 /* P3 = +1.144694354969070234454e-03 */ + .quad 0xBF42B0A47DF47BB4 /* P4 = -5.703738387728891173354e-04 */ + .quad 0x3F2DB2889E32FBFD /* P5 = +2.265731592156760387344e-04 */ + .quad 0xBF1385FBD54C5A55 /* P6 = -7.447576110695385196414e-05 */ + .quad 0x3EF5AFA812C6984E /* P7 = +2.068153223579892541184e-05 */ + .quad 0xBED47097C188A03C /* P8 = -4.873231795467276043290e-06 */ + .quad 0x3EAFF2B982F7EE8C /* P9 = +9.521288628073486288914e-07 */ + .quad 0xBE828EC5B57D424D /* P10 = -1.382656715739529384702e-07 */ + .quad 0xC00F000000000000 /* B = -3.875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9BA40DA6983BEC /* PL0 = +9.589840482158163453169e-17 */ + .quad 0x3FEFFCAAC3F20E65 /* PH0 = +9.995931460438894911036e-01 */ + .quad 0x3F4AA87CF664754C /* P1 = +8.135423820793490331956e-04 */ + .quad 0xBF4AA5B62919E224 /* P2 = -8.132113891426467676310e-04 */ + .quad 0x3F41C01B53B0B312 /* P3 = +5.416997368051531710388e-04 */ + .quad 0xBF31B8B54D091751 /* P4 = -2.704088811110632606347e-04 */ + .quad 0x3F1C431305954ECC /* P5 = +1.078110084525254933728e-04 */ + .quad 0xBF02B7DEAD0D44E6 /* P6 = -3.570221236393906131126e-05 */ + .quad 0x3EE51C6EFF109EA9 /* P7 = +1.006654199116272154479e-05 */ + .quad 0xBEC48CFB08072D17 /* P8 = -2.449834994621594976610e-06 */ + .quad 0x3EA1585EC59CAE34 /* P9 = +5.169271261920604503617e-07 */ + .quad 0xBE78832BAF950BA9 /* P10 = -9.131575131209528255629e-08 */ + .quad 0xC011000000000000 /* B = -4.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8FBF237F4AFE10 /* PL0 = +5.507163370275307643966e-17 */ + .quad 0x3FEFFEC61279A3A4 /* PH0 = +9.998503075449787225182e-01 */ + .quad 0x3F339E78281A00EA /* P1 = +2.993625022114214863645e-04 */ + .quad 0xBF339DB7B072AD62 /* P2 = -2.993176899035080028902e-04 */ + .quad 0x3F2A259E658EF4E4 /* P3 = +1.994853835451177669594e-04 */ + .quad 0xBF1A219C312B10BA /* P4 = -9.968295880030927192162e-05 */ + .quad 0x3F04E146B4F5F4B7 /* P5 = +3.982541113154699160876e-05 */ + .quad 0xBEEBC5F137088210 /* P6 = -1.324329943580649487333e-05 */ + .quad 0x3ECF96736E300B00 /* P7 = +3.765547135882256916132e-06 */ + .quad 0xBEAF4874840B91EB /* P8 = -9.323068824421825762292e-07 */ + .quad 0x3E8B6AB2B5C8FD3F /* P9 = +2.042709991312793245971e-07 */ + .quad 0xBE650BCCE62FD2B7 /* P10 = -3.920140725219944650830e-08 */ + .quad 0xC013000000000000 /* B = -4.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9C869C85471703 /* PL0 = +9.896883942603146946483e-17 */ + .quad 0x3FEFFF8C81C6DC33 /* PH0 = +9.999449286177707341139e-01 */ + .quad 0x3F1CDF5A2E4D7C69 /* P1 = +1.101397316012206760643e-04 */ + .quad 0xBF1CDEF1F9BE63BE /* P2 = -1.101336660539594564027e-04 */ + .quad 0x3F133EC10C83AAA0 /* P3 = +7.341435696487731017506e-05 */ + .quad 0xBF033DAB325FAACB /* P4 = -3.669909192168459445238e-05 */ + .quad 0x3EEEC598FA98BAD8 /* P5 = +1.467316890843338172161e-05 */ + .quad 0xBED47F1A15BA368E /* P6 = -4.886744445221253126882e-06 */ + .quad 0x3EB761FBE7D201C1 /* P7 = +1.393720509029845064726e-06 */ + .quad 0xBE974CD75A43BF6B /* P8 = -3.471994551992448536007e-07 */ + .quad 0x3E74B02965BBF8DC /* P9 = +7.706929621914905669946e-08 */ + .quad 0xBE504EF4E3892A66 /* P10 = -1.518840362012570189110e-08 */ + .quad 0xC015000000000000 /* B = -5.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C643810400471B0 /* PL0 = +8.768592603904887599187e-18 */ + .quad 0x3FEFFFD583014825 /* PH0 = +9.999797400180382433987e-01 */ + .quad 0x3F053E71416C43CA /* P1 = +4.051955345663706869871e-05 */ + .quad 0xBF053E550C7C8CC9 /* P2 = -4.051873253121394012080e-05 */ + .quad 0x3EFC52D0D90D4843 /* P3 = +2.701139380018752534477e-05 */ + .quad 0xBEEC523A6ADBE142 /* P4 = -1.350460237457883558350e-05 */ + .quad 0x3ED6A73E22D844B3 /* P5 = +5.400965660055565196396e-06 */ + .quad 0xBEBE31D10F23ACD0 /* P6 = -1.799738182979224868919e-06 */ + .quad 0x3EA13E14264DEAB2 /* P7 = +5.138663935333241981438e-07 */ + .quad 0xBE81385ABB98EDCC /* P8 = -1.282999997786486835638e-07 */ + .quad 0x3E5EB9164593E0B6 /* P9 = +2.861301981891537161158e-08 */ + .quad 0xBE387218CFE7772E /* P10 = -5.691705994073124478195e-09 */ + .quad 0xC017000000000000 /* B = -5.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C92530433F4C703 /* PL0 = +6.357512739163799046861e-17 */ + .quad 0x3FEFFFF05E8D3191 /* PH0 = +9.999925467214315633058e-01 */ + .quad 0x3EEF42DDFA52B575 /* P1 = +1.490650158538873335176e-05 */ + .quad 0xBEEF42CEB54212AA /* P2 = -1.490639048307961378200e-05 */ + .quad 0x3EE4D7201CBCB853 /* P3 = +9.937445518550804010127e-06 */ + .quad 0xBED4D6F764B66C37 /* P4 = -4.968574624976280456686e-06 */ + .quad 0x3EC0ABB806EBDE71 /* P5 = +1.987311456171617620608e-06 */ + .quad 0xBEA6399CF854F876 /* P6 = -6.623581475862682369330e-07 */ + .quad 0x3E8964B91728D7C9 /* P7 = +1.891959403186505598965e-07 */ + .quad 0xBE6961A0528444D6 /* P8 = -4.727645325404986954168e-08 */ + .quad 0x3E46AE3B0814EE00 /* P9 = +1.056147192151514779549e-08 */ + .quad 0xBE221B8194DACD16 /* P10 = -2.107984154277957626641e-09 */ + .quad 0xC019000000000000 /* B = -6.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7BB5622CE1A79E /* PL0 = +2.403331811901679167526e-17 */ + .quad 0x3FEFFFFA3FF22708 /* PH0 = +9.999972580855862602789e-01 */ + .quad 0x3ED7003552D53503 /* P1 = +5.483821309338170039906e-06 */ + .quad 0xBED7003130C1AB92 /* P2 = -5.483806273169366545037e-06 */ + .quad 0x3ECEAAE13B699C45 /* P3 = +3.655850800133043324271e-06 */ + .quad 0xBEBEAACB305F3D07 /* P4 = -1.827905351959291114416e-06 */ + .quad 0x3EA8887F5F9C87EF /* P5 = +7.311461438267648556646e-07 */ + .quad 0xBE905AD08DF8454F /* P6 = -2.437046884027860662692e-07 */ + .quad 0x3E72B068300B703F /* P7 = +6.962228483613086736676e-08 */ + .quad 0xBE52AF921A71C058 /* P8 = -1.740252888706390465423e-08 */ + .quad 0x3E30B53EAA35300D /* P9 = +3.890131469838137725119e-09 */ + .quad 0xBE0AB60CDAD7E22E /* P10 = -7.773963050435300060566e-10 */ + .quad 0xC01B000000000000 /* B = -6.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8BD1ACF80D7256 /* PL0 = +4.825835138930451121169e-17 */ + .quad 0x3FEFFFFDE2760A41 /* PH0 = +9.999989913051835488389e-01 */ + .quad 0x3EC0EC4F1EC27E55 /* P1 = +2.017388615341105998718e-06 */ + .quad 0xBEC0EC4E005E6EAC /* P2 = -2.017386580411626200507e-06 */ + .quad 0x3EB6906504BC4610 /* P3 = +1.344921673533307001969e-06 */ + .quad 0xBEA6905F0D52C8B5 /* P4 = -6.724581235377781360384e-07 */ + .quad 0x3E920D0F5CCE152B /* P5 = +2.689810941136721216499e-07 */ + .quad 0xBE7811505B10E753 /* P6 = -8.965891741619763761543e-08 */ + .quad 0x3E5B811EE4F9B8EE /* P7 = +2.561544781706659619288e-08 */ + .quad 0xBE3B80ABC067E840 /* P8 = -6.403452884688571158579e-09 */ + .quad 0x3E1898E394E09335 /* P9 = +1.431746793613569087489e-09 */ + .quad 0xBDF3ABB5BA711DB7 /* P10 = -2.862469657501951918569e-10 */ + .quad 0xC01D000000000000 /* B = -7.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8AE01DB39A3791 /* PL0 = +4.662147961093911873193e-17 */ + .quad 0x3FEFFFFF38C76668 /* PH0 = +9.999996289217962797125e-01 */ + .quad 0x3EA8E712E56E1188 /* P1 = +7.421562696484951529573e-07 */ + .quad 0xBEA8E7124A650791 /* P2 = -7.421559942504648535596e-07 */ + .quad 0x3EA09A0B62D8EF94 /* P3 = +4.947702955735978541097e-07 */ + .quad 0xBE909A09C56C2107 /* P4 = -2.473847805916120382218e-07 */ + .quad 0x3E7A900A90A54A6E /* P5 = +9.895362410487317236618e-08 */ + .quad 0xBE61B5557BB449B6 /* P6 = -3.298434544432568302770e-08 */ + .quad 0x3E443CC74732CDCA /* P7 = +9.423781066565733462466e-09 */ + .quad 0xBE243CA8AA8D6E54 /* P8 = -2.355890888986360997159e-09 */ + .quad 0x3E0219C341E0D1B4 /* P9 = +5.267978308406275552691e-10 */ + .quad 0xBDDCF49A10950F13 /* P10 = -1.053394074620716018815e-10 */ + .quad 0xC01F000000000000 /* B = -7.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C75CB18F3775414 /* PL0 = +1.890271747518592444083e-17 */ + .quad 0x3FEFFFFFD38C39F0 /* PH0 = +9.999999172012490333827e-01 */ + .quad 0x3E8639E2F89493BB /* P1 = +1.655974950855472979393e-07 */ + .quad 0xBE8639E2D9B29562 /* P2 = -1.655974813708346974914e-07 */ + .quad 0x3E7DA2836A1F706E /* P3 = +1.103982989742589616541e-07 */ + .quad 0xBE6DA282C6733DAE /* P4 = -5.519913131581509871840e-08 */ + .quad 0x3E57B53A278851FD /* P5 = +2.207971980430773309147e-08 */ + .quad 0xBE3F9C4A72536E22 /* P6 = -7.359895614149337484810e-09 */ + .quad 0x3E220E81FBE19CDD /* P7 = +2.102073153607135257714e-09 */ + .quad 0xBE020E8875ADA8D8 /* P8 = -5.255211642212584097407e-10 */ + .quad 0x3DE07634328384FC /* P9 = +1.197748786062966341989e-10 */ + .quad 0xBDBA54078E3C351F /* P10 = -2.394539505021488953905e-11 */ + .quad 0xC021000000000000 /* B = -8.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C98B78738B0EDEF /* PL0 = +8.575399788039081964921e-17 */ + .quad 0x3FEFFFFFF9FBEA40 /* PH0 = +9.999999887944071019774e-01 */ + .quad 0x3E581056FAC28C46 /* P1 = +2.241118550516412682327e-08 */ + .quad 0xBE581056F63A4351 /* P2 = -2.241118525356742542550e-08 */ + .quad 0x3E500AE49533790A /* P3 = +1.494078933911655875521e-08 */ + .quad 0xBE400AE489ACBA90 /* P4 = -7.470394349637968945652e-09 */ + .quad 0x3E29AB0D59A1967B /* P5 = +2.988168557255271725494e-09 */ + .quad 0xBE111CB32D6EEF2B /* P6 = -9.960558400070350772418e-10 */ + .quad 0x3DF38CBADF396908 /* P7 = +2.844859618921805216353e-10 */ + .quad 0xBDD38CC7B92CECD3 /* P8 = -7.112220386749926320915e-11 */ + .quad 0x3DB1D2BBE2705032 /* P9 = +1.621008722427575444686e-11 */ + .quad 0xBD8C8199294E6380 /* P10 = -3.240784656869469020111e-12 */ + .quad 0xC023000000000000 /* B = -9.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8EEEC16618B984 /* PL0 = +5.365957423487855307906e-17 */ + .quad 0x3FEFFFFFFF2F9279 /* PH0 = +9.999999984834878619111e-01 */ + .quad 0x3E2A0DB0D052B148 /* P1 = +3.033024167396880687734e-09 */ + .quad 0xBE2A0DB0CFA6AB71 /* P2 = -3.033024162734192808028e-09 */ + .quad 0x3E215E75D53A3105 /* P3 = +2.022016035353114070618e-09 */ + .quad 0xBE115E75D40AA47F /* P4 = -1.011008013562702155050e-09 */ + .quad 0x3DFBCA5CDC12ED1C /* P5 = +4.044047007631481841556e-10 */ + .quad 0xBDE286E85704FC22 /* P6 = -1.348015410318274576187e-10 */ + .quad 0x3DC52A8925354517 /* P7 = +3.850101197145027796396e-11 */ + .quad 0xBDA52A97EA3F5F4A /* P8 = -9.625355478142550638468e-12 */ + .quad 0x3D834C011A2AC0F7 /* P9 = +2.193802608697321032841e-12 */ + .quad 0xBD5EDD05BDCB3A62 /* P10 = -4.385948508419928563300e-13 */ + .quad 0xC025000000000000 /* B = -10.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BD8B474BBF792 /* PL0 = +1.207649585364892639612e-17 */ + .quad 0x3FEFFFFFFFE3CAD8 /* PH0 = +9.999999997947623953110e-01 */ + .quad 0x3DFC3527E43C565F /* P1 = +4.104751852963940338559e-10 */ + .quad 0xBDFC3527E420F415 /* P2 = -4.104751852036136216697e-10 */ + .quad 0x3DF2CE1A8D806DAD /* P3 = +2.736501142887952919489e-10 */ + .quad 0xBDE2CE1A8DDF690A /* P4 = -1.368250573053032426141e-10 */ + .quad 0x3DCE169832D8BD68 /* P5 = +5.473022586854025789680e-11 */ + .quad 0xBDB40F0FE853DA5B /* P6 = -1.824340550195944358477e-11 */ + .quad 0x3D96EA8D930D31A1 /* P7 = +5.210545794901128943676e-12 */ + .quad 0xBD76EA9DB0D09839 /* P8 = -1.302650427355019556441e-12 */ + .quad 0x3D54E474FD4303A1 /* P9 = +2.968990047962355000258e-13 */ + .quad 0xBD30B526CA2B228A /* P10 = -5.935740124899435401321e-14 */ + .quad 0xC027000000000000 /* B = -11.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C56E8953D525FD5 /* PL0 = +4.967494994909661698725e-18 */ + .quad 0x3FEFFFFFFFFC2EB9 /* PH0 = +9.999999999722241073030e-01 */ + .quad 0x3DCE8A37A48016C2 /* P1 = +5.555177547354687971427e-11 */ + .quad 0xBDCE8A37A479B7D4 /* P2 = -5.555177547084873157964e-11 */ + .quad 0x3DC45C250CFA9C16 /* P3 = +3.703451575129414499553e-11 */ + .quad 0xBDB45C250D9F8467 /* P4 = -1.851725791056759260154e-11 */ + .quad 0x3DA049BB33CBD4E9 /* P5 = +7.406930640558963265190e-12 */ + .quad 0xBD85B7A407C422C1 /* P6 = -2.468976464832073512208e-12 */ + .quad 0x3D68CF9CED2B3FD5 /* P7 = +7.051706989348171774536e-13 */ + .quad 0xBD48CFAE64C352B3 /* P8 = -1.762945685274427023683e-13 */ + .quad 0x3D269EAE08690D52 /* P9 = +4.018091287355461204663e-14 */ + .quad 0xBD0216CBEAFFF5AA /* P10 = -8.033151495672990022322e-15 */ + .quad 0xC029000000000000 /* B = -12.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8ACF1392B106D3 /* PL0 = +4.650601502940921454330e-17 */ + .quad 0x3FEFFFFFFFFF7BBD /* PH0 = +9.999999999962408958609e-01 */ + .quad 0x3DA088529889B316 /* P1 = +7.518115268189742464885e-12 */ + .quad 0xBDA088529887F4C4 /* P2 = -7.518115268005149164680e-12 */ + .quad 0x3D960B18BF1DF711 /* P3 = +5.012076679213679703380e-12 */ + .quad 0xBD860B18BFD99A48 /* P4 = -2.506038344573564868987e-12 */ + .quad 0x3D71A27E7CA64143 /* P5 = +1.002419056539285288454e-12 */ + .quad 0xBD5783530EA76D91 /* P6 = -3.341396294294381580191e-13 */ + .quad 0x3D3ADCC75CBD2A03 /* P7 = +9.543447641637910477850e-14 */ + .quad 0xBD1ADCDA46BE5F17 /* P8 = -2.385887543769010971872e-14 */ + .quad 0x3CF87D77650BE5B8 /* P9 = +5.437895260471143131391e-15 */ + .quad 0xBCD395AE6E74C6D2 /* P10 = -1.087168847335561258239e-15 */ + .quad 0xC02B000000000000 /* B = -13.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C97A8A295292858 /* PL0 = +8.208271151146829171896e-17 */ + .quad 0x3FEFFFFFFFFFEE19 /* PH0 = +9.999999999994911847878e-01 */ + .quad 0x3D71E642BB008F95 /* P1 = +1.017466259229268282255e-12 */ + .quad 0xBD71E642BAFEEC54 /* P2 = -1.017466259207593392022e-12 */ + .quad 0x3D67DDAE41647741 /* P3 = +6.783108169938233581038e-13 */ + .quad 0xBD57DDAE4230F34B /* P4 = -3.391554091734942426856e-13 */ + .quad 0x3D4317C33FAE2536 /* P5 = +1.356626669455791324801e-13 */ + .quad 0xBD2975040D3E26B9 /* P6 = -4.522088139411435138867e-14 */ + .quad 0x3D0D155DCD0F0AFB /* P7 = +1.291565189902030307333e-14 */ + .quad 0xBCED157247832B20 /* P8 = -3.228947666403019234175e-15 */ + .quad 0x3CCA83D70F607C28 /* P9 = +7.359390959466796619024e-16 */ + .quad 0xBCA5343952C1E19E /* P10 = -1.471323041436694087188e-16 */ + .quad 0xC02D000000000000 /* B = -14.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9B7876CBC5306E /* PL0 = +9.530765996816607711732e-17 */ + .quad 0x3FEFFFFFFFFFFD93 /* PH0 = +9.999999999999310551502e-01 */ + .quad 0x3D436121E2640D76 /* P1 = +1.376990843765503869546e-13 */ + .quad 0xBD436121E26250EA /* P2 = -1.376990843736775811281e-13 */ + .quad 0x3D39D6D7CA259186 /* P3 = +9.179938654047876451320e-14 */ + .quad 0xBD29D6D7CB0327CE /* P4 = -4.589969336188563660531e-14 */ + .quad 0x3D14ABE4DC31244A /* P5 = +1.835994545584345768382e-14 */ + .quad 0xBCFB8FDB82AB6BB7 /* P6 = -6.119980791767901275443e-15 */ + .quad 0x3CDF7CF757491B60 /* P7 = +1.747943407988343076526e-15 */ + .quad 0xBCBF7D0D833640FB /* P8 = -4.369905470133249448357e-16 */ + .quad 0x3C9CB512F6BDC754 /* P9 = +9.959852600692493655511e-17 */ + .quad 0xBC76F50AB1B0E9BA /* P10 = -1.991219205936492089091e-17 */ + .quad 0xC02F000000000000 /* B = -15.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6FFE15D5F78543 /* PL0 = +1.387454417328248962819e-17 */ + .quad 0x3FEFFFFFFFFFFFE1 /* PH0 = +9.999999999999965583086e-01 */ + .quad 0x3CFEE00288B99C26 /* P1 = +6.855635762864742358597e-15 */ + .quad 0xBCFEE0027D060EE2 /* P2 = -6.855635607998342735403e-15 */ + .quad 0x3CF4954AA23148A2 /* P3 = +4.570381865813341696777e-15 */ + .quad 0xBCE4954B5DAD3010 /* P4 = -2.285192173571711474199e-15 */ + .quad 0x3CD07883DD8793BD /* P5 = +9.143109661358222028007e-16 */ + .quad 0xBCB5F5F4BB87ADCF /* P6 = -3.047668447080103869032e-16 */ + .quad 0x3C98F1A905097685 /* P7 = +8.654183371862458774513e-17 */ + .quad 0xBC78F2D585007222 /* P8 = -2.163943551222030413627e-17 */ + .quad 0x3C58A37CC5082B5F /* P9 = +5.342649626494471588064e-18 */ + .quad 0xBC33AE7917F94D17 /* P10 = -1.066938163384541013918e-18 */ + .quad 0xC031000000000000 /* B = -17 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C91BF1D80474F0F /* PL0 = +6.157069264461989135096e-17 */ + .quad 0x3FEFFFFFFFFFFFFE /* PH0 = +9.999999999999997779554e-01 */ + .quad 0x3CB72071400E6275 /* P1 = +3.209478247225075961360e-16 */ + .quad 0xBCB72071400A9F37 /* P2 = -3.209478247103497434502e-16 */ + .quad 0x3CAED5EC39A77629 /* P3 = +2.139652050028423711308e-16 */ + .quad 0xBC9ED5EC3B530600 /* P4 = -1.069826028468029104719e-16 */ + .quad 0x3C88AB2BFED159DE /* P5 = +4.279326904335078988705e-17 */ + .quad 0xBC70721D1220B3FC /* P6 = -1.426441958074916244382e-17 */ + .quad 0x3C52C96049721FB8 /* P7 = +4.073700029965821523731e-18 */ + .quad 0xBC32C971215735DC /* P8 = -1.018438939975201710113e-18 */ + .quad 0x3C112EF658AB41A9 /* P9 = +2.328791246104218830028e-19 */ + .quad 0xBBEB7B598C6AD3DE /* P10 = -4.655603964908654142787e-20 */ + .quad 0xC03287E0C98F84E5 /* B = -18.530774 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* PL0 = +0.000000000000000000000e-01 */ + .quad 0x3FF0000000000000 /* PH0 = +1.000000000000000000000e+00 */ + .quad 0x0000000000000000 /* P1 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P2 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P3 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P4 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P5 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P6 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P7 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P8 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P9 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P10 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* B = +0 */ + .quad 0x0000000000000000 /* A = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .align 16 + .quad 0x8000000000000000, 0x8000000000000000 /* _dbSignMask */ + .align 16 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff /* _dbAbsMask */ + .align 16 + .long 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000 /* _iExpMantMask */ + .align 16 + .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMask */ + .align 16 + .long 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000 /* _iMinIdxOfsMask */ + .align 16 + .long 0x00760000, 0x00760000, 0x00760000, 0x00760000 /* _iMaxIdxMask */ + .align 16 + .type __svml_dtanh_data_internal,@object + .size __svml_dtanh_data_internal,.-__svml_dtanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core-sse.S new file mode 100644 index 0000000000..80e85c47ec --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized tanh, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVdN4v_tanh _ZGVdN4v_tanh_sse_wrapper +#include "../svml_d_tanh4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core.c new file mode 100644 index 0000000000..a26e62052b --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized tanh, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVdN4v_tanh +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN4v_tanh, __GI__ZGVdN4v_tanh, __redirect__ZGVdN4v_tanh) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core_avx2.S new file mode 100644 index 0000000000..53dda241e4 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh4_core_avx2.S @@ -0,0 +1,1279 @@ +/* Function tanh vectorized with AVX2. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_dtanh_data_internal + */ +#define _dbP 0 +#define _dbSignMask 7680 +#define _dbAbsMask 7712 +#define _iExpMantMask 7744 +#define _iExpMask 7776 +#define _iMinIdxOfsMask 7808 +#define _iMaxIdxMask 7840 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN4v_tanh_avx2) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + subq $96, %rsp + lea _dbP+96+__svml_dtanh_data_internal(%rip), %r8 + vmovupd %ymm0, (%rsp) + +/* if VMIN, VMAX is defined for I type */ + vpxor %xmm11, %xmm11, %xmm11 + +/* Constant loading */ + vmovups _iMaxIdxMask+__svml_dtanh_data_internal(%rip), %xmm8 + vandpd _dbAbsMask+__svml_dtanh_data_internal(%rip), %ymm0, %ymm1 + vandpd _dbSignMask+__svml_dtanh_data_internal(%rip), %ymm0, %ymm2 + vextractf128 $1, %ymm0, %xmm15 + vshufps $221, %xmm15, %xmm0, %xmm14 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpand _iExpMantMask+__svml_dtanh_data_internal(%rip), %xmm14, %xmm12 + vpsubd _iMinIdxOfsMask+__svml_dtanh_data_internal(%rip), %xmm12, %xmm9 + vpcmpgtd %xmm11, %xmm9, %xmm10 + vpcmpgtd %xmm8, %xmm9, %xmm0 + vpand %xmm10, %xmm9, %xmm7 + blendvps %xmm0, %xmm8, %xmm7 + +/* + * VSHRIMM( I, iIndex, = iIndex, (17 - 4) ); + * VGATHER_MATRIX( L2D, p, TAB._dbP, iIndex, 0, T_ITEM_SIZE, T_ITEM_GRAN, 13, 0, 0 ); + */ + vpsrld $10, %xmm7, %xmm6 + vmovd %xmm6, %edx + vpcmpgtd _iExpMask+__svml_dtanh_data_internal(%rip), %xmm12, %xmm13 + vmovmskps %xmm13, %eax + vpextrd $1, %xmm6, %ecx + movslq %edx, %rdx + movslq %ecx, %rcx + vpextrd $2, %xmm6, %esi + vpextrd $3, %xmm6, %edi + movslq %esi, %rsi + movslq %edi, %rdi + vmovupd -96(%rdx,%r8), %xmm3 + vmovupd -96(%rcx,%r8), %xmm4 + vmovupd -80(%rcx,%r8), %xmm13 + vmovupd -64(%rcx,%r8), %xmm9 + vmovupd -80(%rdx,%r8), %xmm14 + vmovupd -64(%rdx,%r8), %xmm10 + vmovupd -48(%rdx,%r8), %xmm6 + vinsertf128 $1, -96(%rsi,%r8), %ymm3, %ymm0 + vinsertf128 $1, -96(%rdi,%r8), %ymm4, %ymm15 + vmovupd -48(%rcx,%r8), %xmm3 + vunpckhpd %ymm15, %ymm0, %ymm0 + vinsertf128 $1, -80(%rsi,%r8), %ymm14, %ymm12 + vinsertf128 $1, -64(%rsi,%r8), %ymm10, %ymm8 + vinsertf128 $1, -80(%rdi,%r8), %ymm13, %ymm11 + vinsertf128 $1, -64(%rdi,%r8), %ymm9, %ymm7 + vunpcklpd %ymm11, %ymm12, %ymm15 + vunpckhpd %ymm11, %ymm12, %ymm14 + vunpcklpd %ymm7, %ymm8, %ymm13 + vunpckhpd %ymm7, %ymm8, %ymm12 + vmovupd -32(%rdx,%r8), %xmm9 + vmovupd -32(%rcx,%r8), %xmm8 + vinsertf128 $1, -48(%rsi,%r8), %ymm6, %ymm4 + vinsertf128 $1, -48(%rdi,%r8), %ymm3, %ymm5 + vunpcklpd %ymm5, %ymm4, %ymm11 + vunpckhpd %ymm5, %ymm4, %ymm10 + vmovupd -16(%rdx,%r8), %xmm3 + vmovupd -16(%rcx,%r8), %xmm4 + vinsertf128 $1, -32(%rsi,%r8), %ymm9, %ymm7 + vinsertf128 $1, -32(%rdi,%r8), %ymm8, %ymm6 + vunpcklpd %ymm6, %ymm7, %ymm9 + vunpckhpd %ymm6, %ymm7, %ymm8 + vinsertf128 $1, -16(%rsi,%r8), %ymm3, %ymm5 + vinsertf128 $1, -16(%rdi,%r8), %ymm4, %ymm6 + vunpcklpd %ymm6, %ymm5, %ymm7 + vunpckhpd %ymm6, %ymm5, %ymm6 + vmovupd (%rdx,%r8), %xmm3 + vmovupd (%rcx,%r8), %xmm5 + vinsertf128 $1, (%rsi,%r8), %ymm3, %ymm4 + vinsertf128 $1, (%rdi,%r8), %ymm5, %ymm5 + vunpcklpd %ymm5, %ymm4, %ymm3 + vaddpd %ymm3, %ymm1, %ymm1 + vfmadd213pd %ymm7, %ymm1, %ymm6 + vfmadd213pd %ymm8, %ymm1, %ymm6 + vfmadd213pd %ymm9, %ymm1, %ymm6 + vfmadd213pd %ymm10, %ymm1, %ymm6 + vfmadd213pd %ymm11, %ymm1, %ymm6 + vfmadd213pd %ymm12, %ymm1, %ymm6 + vfmadd213pd %ymm13, %ymm1, %ymm6 + vfmadd213pd %ymm14, %ymm1, %ymm6 + vfmadd213pd %ymm15, %ymm1, %ymm6 + vfmadd213pd %ymm0, %ymm1, %ymm6 + vorpd %ymm2, %ymm6, %ymm0 + testl %eax, %eax + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 eax ymm0 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovupd (%rsp), %ymm1 + vmovupd %ymm0, 64(%rsp) + vmovupd %ymm1, 32(%rsp) + # LOE rbx r12 r13 r14 r15 eax ymm0 + + xorl %edx, %edx + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $4, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovupd 64(%rsp), %ymm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 ymm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 32(%rsp,%r14,8), %xmm0 + call tanh@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 64(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVdN4v_tanh_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_dtanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(32)) VUINT32 _dbP[60*16][2]; + __declspec(align(32)) VUINT32 _dbSignMask[4][2]; + __declspec(align(32)) VUINT32 _dbAbsMask[4][2]; + __declspec(align(32)) VUINT32 _iExpMantMask[8][1]; + __declspec(align(32)) VUINT32 _iExpMask[8][1]; + __declspec(align(32)) VUINT32 _iMinIdxOfsMask[8][1]; + __declspec(align(32)) VUINT32 _iMaxIdxMask[8][1]; +} __svml_dtanh_data_internal; +#endif +__svml_dtanh_data_internal: + /* Polynomial coefficients */ + .quad 0x0000000000000000 /* PL0 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* PH0 = +0.000000000000000000000e-01 */ + .quad 0x3FF0000000000000 /* P1 = +1.000000000000000014103e+00 */ + .quad 0xBD197DEAD79668D3 /* P2 = -2.264132406596103056796e-14 */ + .quad 0xBFD555555553AF3C /* P3 = -3.333333333273349741024e-01 */ + .quad 0xBE052F7CCA134846 /* P4 = -6.165791385711493738399e-10 */ + .quad 0x3FC11111563849D6 /* P5 = +1.333333655353061107201e-01 */ + .quad 0xBEB038623673FFB2 /* P6 = -9.668021563879858950855e-07 */ + .quad 0xBFAB9F685E64022E /* P7 = -5.395055916051593179252e-02 */ + .quad 0xBF2A54E2B28F2207 /* P8 = -2.008940439550829012647e-04 */ + .quad 0x3F97CFB9328A230E /* P9 = +2.325333949059698582189e-02 */ + .quad 0xBF75CA6D61723E02 /* P10 = -5.320002811586290441790e-03 */ + .quad 0x0000000000000000 /* B = +0 */ + .quad 0x3FF0000000000000 /* A = +1.0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C3708A564FAD29A /* PL0 = +1.248663375337163807466e-18 */ + .quad 0x3FC0E6973998DA48 /* PH0 = +1.320370703922029154143e-01 */ + .quad 0x3FEF712EB25C0888 /* P1 = +9.825662120422444519229e-01 */ + .quad 0xBFC09B296F7C1EA9 /* P2 = -1.297351641044220078331e-01 */ + .quad 0xBFD3DD77541EDDA7 /* P3 = -3.103922196855485849143e-01 */ + .quad 0x3FB58FFCF4309615 /* P4 = +8.422833406128689275566e-02 */ + .quad 0x3FBD3ABE845DCF49 /* P5 = +1.141776154670967208833e-01 */ + .quad 0xBFA791DF538C37FA /* P6 = -4.603479285115947936529e-02 */ + .quad 0xBFA4F872F69CD6E8 /* P7 = -4.095801601799370195284e-02 */ + .quad 0x3F9772E49EF6412B /* P8 = +2.289921970583567527179e-02 */ + .quad 0x3F8CBC0807393909 /* P9 = +1.403051635784581776625e-02 */ + .quad 0xBF85F06A30F93319 /* P10 = -1.071246110873285040939e-02 */ + .quad 0xBFC1000000000000 /* B = -.132813 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6004EE5739DEAC /* PL0 = +6.947247374112211856530e-18 */ + .quad 0x3FC2DC968E6E0D62 /* PH0 = +1.473568149050193398786e-01 */ + .quad 0x3FEF4E1E606D96DF /* P1 = +9.782859691010478680677e-01 */ + .quad 0xBFC273BD70994AB9 /* P2 = -1.441571044730005866646e-01 */ + .quad 0xBFD382B548270D2C /* P3 = -3.048527912726111386771e-01 */ + .quad 0x3FB7CD2D582A6B29 /* P4 = +9.297450449450351894400e-02 */ + .quad 0x3FBC1278CCCBF0DB /* P5 = +1.096568584434324642303e-01 */ + .quad 0xBFA9C7F5115B86A1 /* P6 = -5.035367810138536095866e-02 */ + .quad 0xBFA371C21BAF618E /* P7 = -3.797728145554222910481e-02 */ + .quad 0x3F9958943F68417E /* P8 = +2.475196492201935923783e-02 */ + .quad 0x3F8930D5CFFD4152 /* P9 = +1.230017701132682667572e-02 */ + .quad 0xBF875CF7ADD31B76 /* P10 = -1.140779017658897660092e-02 */ + .quad 0xBFC3000000000000 /* B = -.148438 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7EABE24E052A1F /* PL0 = +2.660321779421749543501e-17 */ + .quad 0x3FC4D04783618C71 /* PH0 = +1.626061812886266111366e-01 */ + .quad 0x3FEF2765AF97A4B3 /* P1 = +9.735592298067302883212e-01 */ + .quad 0xBFC443654205FEA5 /* P2 = -1.583067486171689074207e-01 */ + .quad 0xBFD31F2E208A5B97 /* P3 = -2.987780874040536844467e-01 */ + .quad 0x3FB9F235BD339878 /* P4 = +1.013520800512156573576e-01 */ + .quad 0x3FBAD0B0DFCCA141 /* P5 = +1.047468706498238100104e-01 */ + .quad 0xBFABD1B9600E608E /* P6 = -5.433444306908184548967e-02 */ + .quad 0xBFA1CEBEAF07DB58 /* P7 = -3.478046309094534453598e-02 */ + .quad 0x3F9AFC9FB1D8EFD2 /* P8 = +2.635430834764902126383e-02 */ + .quad 0x3F8573444F1AB502 /* P9 = +1.047376028449287564018e-02 */ + .quad 0xBF8874FBC8F24406 /* P10 = -1.194187838544459322219e-02 */ + .quad 0xBFC5000000000000 /* B = -.164063 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7FB199D361A790 /* PL0 = +2.748994907060158996213e-17 */ + .quad 0x3FC6C170259E21F7 /* PH0 = +1.777782615356639783766e-01 */ + .quad 0x3FEEFD17479F7C65 /* P1 = +9.683948897253570478266e-01 */ + .quad 0xBFC609530FE4DF8D /* P2 = -1.721595599753950294577e-01 */ + .quad 0xBFD2B3465D71B4DE /* P3 = -2.921920692959484052676e-01 */ + .quad 0x3FBBFD2D34AC509B /* P4 = +1.093319181057403192166e-01 */ + .quad 0x3FB9778C3C16A0FE /* P5 = +9.948040453912551395183e-02 */ + .quad 0xBFADAC4D9E63C665 /* P6 = -5.795519407719210697372e-02 */ + .quad 0xBFA0139CCAD02D60 /* P7 = -3.139963126894929339124e-02 */ + .quad 0x3F9C5BF43BA6F19D /* P8 = +2.769452680671379432854e-02 */ + .quad 0x3F8190B703350341 /* P9 = +8.576803002712575184772e-03 */ + .quad 0xBF8936606782858A /* P10 = -1.231074634444230850234e-02 */ + .quad 0xBFC7000000000000 /* B = -.179688 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6A917CA3624D50 /* PL0 = +1.152216693509785660691e-17 */ + .quad 0x3FC8AFD7B974FABB /* PH0 = +1.928662925292508878439e-01 */ + .quad 0x3FEECF47624A5D03 /* P1 = +9.628025932060214187231e-01 */ + .quad 0xBFC7C4C2CB4FDE4D /* P2 = -1.856921665891938814679e-01 */ + .quad 0xBFD23F69CB2C1F9D /* P3 = -2.851204380135586155453e-01 */ + .quad 0x3FBDEC5703A03814 /* P4 = +1.168875106670557712458e-01 */ + .quad 0x3FB8095003D0CF15 /* P5 = +9.389209836154706616487e-02 */ + .quad 0xBFAF554B47B10CBB /* P6 = -6.119761705533607365968e-02 */ + .quad 0xBF9C89743FE7BC1B /* P7 = -2.786809577986213853937e-02 */ + .quad 0x3F9D74725B746E7C /* P8 = +2.876452143855921824991e-02 */ + .quad 0x3F7B2D8AFB70B88C /* P9 = +6.635229968237631511880e-03 */ + .quad 0xBF89A0A2883EF6CB /* P10 = -1.251341799058582545252e-02 */ + .quad 0xBFC9000000000000 /* B = -.195313 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7608279E8609CB /* PL0 = +1.910958764623660748269e-17 */ + .quad 0x3FCA9B46D2DDC5E3 /* PH0 = +2.078636674519166172015e-01 */ + .quad 0x3FEE9E0BB72A01A1 /* P1 = +9.567926957534390123919e-01 */ + .quad 0xBFC974FAD10C5330 /* P2 = -1.988824387305156976885e-01 */ + .quad 0xBFD1C40ACCBA4044 /* P3 = -2.775904654781735703430e-01 */ + .quad 0x3FBFBE24E2987853 /* P4 = +1.239951184474830487522e-01 */ + .quad 0x3FB6885B4345E47F /* P5 = +8.801813499839460539687e-02 */ + .quad 0xBFB06563D5670584 /* P6 = -6.404708824176991770896e-02 */ + .quad 0xBF98CD1D620DF6E2 /* P7 = -2.421995078065365147772e-02 */ + .quad 0x3F9E44EF3E844D21 /* P8 = +2.955983943054463683119e-02 */ + .quad 0x3F7325FA0148CAAE /* P9 = +4.674889165971292322643e-03 */ + .quad 0xBF89B4C8556C2D92 /* P10 = -1.255184660614964011319e-02 */ + .quad 0xBFCB000000000000 /* B = -.210938 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6F19DAA20F51D5 /* PL0 = +1.348790537832000351176e-17 */ + .quad 0x3FCC83876CA98E15 /* PH0 = +2.227639465883021474557e-01 */ + .quad 0x3FEE697B662D07CD /* P1 = +9.503762241004040620296e-01 */ + .quad 0xBFCB194C7ED76ACF /* P2 = -2.117095584242946953999e-01 */ + .quad 0xBFD141A19E419762 /* P3 = -2.696308179350720680191e-01 */ + .quad 0x3FC0B89C64BC7B98 /* P4 = +1.306338779331468503007e-01 */ + .quad 0x3FB4F721150BBFC5 /* P5 = +8.189589275184434216748e-02 */ + .quad 0xBFB105AAFAB87898 /* P6 = -6.649273511036069461061e-02 */ + .quad 0xBF94FB3B31248C01 /* P7 = -2.048962104266749732921e-02 */ + .quad 0x3F9ECD31E588709C /* P8 = +3.007963145692880855964e-02 */ + .quad 0x3F664A91A335C105 /* P9 = +2.721104095762541127495e-03 */ + .quad 0xBF89754E32E1E26E /* P10 = -1.243077366619723806134e-02 */ + .quad 0xBFCD000000000000 /* B = -.226563 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6AC6C889D8111D /* PL0 = +1.161245469312620769170e-17 */ + .quad 0x3FCE6864FE55A3D0 /* PH0 = +2.375608674877001114112e-01 */ + .quad 0x3FEE31AEE116B82B /* P1 = +9.435648342384913826391e-01 */ + .quad 0xBFCCB114B69E808B /* P2 = -2.241540805525839833707e-01 */ + .quad 0xBFD0B8AB913BA99D /* P3 = -2.612713735858507980441e-01 */ + .quad 0x3FC1823322BED48A /* P4 = +1.367858810096190233514e-01 */ + .quad 0x3FB35822B7929893 /* P5 = +7.556359273675842651653e-02 */ + .quad 0xBFB18B03CC78D2DA /* P6 = -6.852744810096158580830e-02 */ + .quad 0xBF911CCC3C8D5E5D /* P7 = -1.671141738492420009734e-02 */ + .quad 0x3F9F0DEC2D99B12F /* P8 = +3.032654789278515819797e-02 */ + .quad 0x3F4A28398B4EBD98 /* P9 = +7.982521989244205404918e-04 */ + .quad 0xBF88E60CB2FAB9A4 /* P10 = -1.215753480150000985458e-02 */ + .quad 0xBFCF000000000000 /* B = -.242188 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C89D2B6774FB61D /* PL0 = +4.479593208720169247958e-17 */ + .quad 0x3FD09C744F539BE4 /* PH0 = +2.595492148088267558848e-01 */ + .quad 0x3FEDD823B0400D42 /* P1 = +9.326342050921214825882e-01 */ + .quad 0xBFCEFBF7FF305FCC /* P2 = -2.420644756355144687086e-01 */ + .quad 0xBFCFC01DC4F24A41 /* P3 = -2.480504237797323303990e-01 */ + .quad 0x3FC291A2C26D5548 /* P4 = +1.450694512701977626753e-01 */ + .quad 0x3FB0D562E672D188 /* P5 = +6.575601698097532991976e-02 */ + .quad 0xBFB2201ECC119E06 /* P6 = -7.080261690281738261872e-02 */ + .quad 0xBF8695D50F778D31 /* P7 = -1.102796987010509974642e-02 */ + .quad 0x3F9EEC8CFBC031A0 /* P8 = +3.019924437107734972427e-02 */ + .quad 0xBF6030F0A4D3660A /* P9 = -1.976461417694923328722e-03 */ + .quad 0xBF87845288A4AEF5 /* P10 = -1.148285369398347838494e-02 */ + .quad 0xBFD1000000000000 /* B = -.265625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8B6AAB614D1C8D /* PL0 = +4.756035418366735312727e-17 */ + .quad 0x3FD275F7E1CF7F63 /* PH0 = +2.884502129727392616410e-01 */ + .quad 0x3FED56658F74C9CC /* P1 = +9.167964746359813351341e-01 */ + .quad 0xBFD0ECC045EBD596 /* P2 = -2.644501383614054083635e-01 */ + .quad 0xBFCD5A4BDE179180 /* P3 = -2.293181261476426808811e-01 */ + .quad 0x3FC3C00047D34767 /* P4 = +1.542969084462655120552e-01 */ + .quad 0x3FAAC7CE84FD609F /* P5 = +5.230565427217581251974e-02 */ + .quad 0xBFB288948D2E8B43 /* P6 = -7.239654967137902384931e-02 */ + .quad 0xBF6D6605AAD5A1C0 /* P7 = -3.588687008847041164896e-03 */ + .quad 0x3F9DDB0790848E97 /* P8 = +2.915584392134337382866e-02 */ + .quad 0xBF75FDE291BAD5B4 /* P9 = -5.369076763306269573660e-03 */ + .quad 0xBF84CEA5C52E0A78 /* P10 = -1.015977390284671071888e-02 */ + .quad 0xBFD3000000000000 /* B = -.296875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7139A81C8A6ECF /* PL0 = +1.494049799478574591322e-17 */ + .quad 0x3FD4470650036407 /* PH0 = +3.168350011233659890841e-01 */ + .quad 0x3FECC9A69DFDDD48 /* P1 = +8.996155820631566629678e-01 */ + .quad 0xBFD23DED3A37A09F /* P2 = -2.850297039535778028925e-01 */ + .quad 0xBFCAD302395D51C1 /* P3 = -2.095644741153943890185e-01 */ + .quad 0x3FC4A8FE3F309C22 /* P4 = +1.614072617096278705115e-01 */ + .quad 0x3FA3D161188AA436 /* P5 = +3.870681213931741151586e-02 */ + .quad 0xBFB288CFE5494E98 /* P6 = -7.240008685885823969403e-02 */ + .quad 0x3F6C7903EED8D334 /* P7 = +3.475673371918475361081e-03 */ + .quad 0x3F9BE023CDFB02F6 /* P8 = +2.722221321778569498033e-02 */ + .quad 0xBF80F8296F2C3A95 /* P9 = -8.285831170295390358336e-03 */ + .quad 0xBF8152DF4790049B /* P10 = -8.458847400108650973189e-03 */ + .quad 0xBFD5000000000000 /* B = -.328125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7751FE0FEE8335 /* PL0 = +2.022712113430213599928e-17 */ + .quad 0x3FD60EF7120502A9 /* PH0 = +3.446633983585721261456e-01 */ + .quad 0x3FEC32D951E56E6F /* P1 = +8.812071418319202070776e-01 */ + .quad 0xBFD370255FC004F8 /* P2 = -3.037198481616338996824e-01 */ + .quad 0xBFC832F0EBC6BB41 /* P3 = -1.890545989276351359107e-01 */ + .quad 0x3FC54C99A0FF432F /* P4 = +1.664001499289269127540e-01 */ + .quad 0x3F99DAC0CC283C18 /* P5 = +2.524853941036661688369e-02 */ + .quad 0xBFB227B3896A026D /* P6 = -7.091829399906553280461e-02 */ + .quad 0x3F84663364E1FB19 /* P7 = +9.960557476231411602383e-03 */ + .quad 0x3F9922D70DE07C57 /* P8 = +2.454696676442965935283e-02 */ + .quad 0xBF85C4A4EB6F86BC /* P9 = -1.062897532932837635222e-02 */ + .quad 0xBF7AAB61214FFE17 /* P10 = -6.511096396024671890972e-03 */ + .quad 0xBFD7000000000000 /* B = -.359375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3BFE67F266843B2C /* PL0 = +1.030196791298162288777e-19 */ + .quad 0x3FD7CD3115FC0F16 /* PH0 = +3.718989100163850869407e-01 */ + .quad 0x3FEB92F96CCC2C5B /* P1 = +8.616912007286247079761e-01 */ + .quad 0xBFD4827320135092 /* P2 = -3.204620183216856200247e-01 */ + .quad 0xBFC582B15550168A /* P3 = -1.680509249273891977521e-01 */ + .quad 0x3FC5AC3B9A2E4C31 /* P4 = +1.693186285816366254244e-01 */ + .quad 0x3F88FA599FCADAFB /* P5 = +1.219625491044728129762e-02 */ + .quad 0xBFB16EC8F5CA169E /* P6 = -6.809669495313605642174e-02 */ + .quad 0x3F90140EFC748BBE /* P7 = +1.570151725639922719844e-02 */ + .quad 0x3F95CFC49C1A28DC /* P8 = +2.130038454792147768770e-02 */ + .quad 0xBF8946ED8B1BF454 /* P9 = -1.234231549050882816697e-02 */ + .quad 0xBF7239E55C1DD50F /* P10 = -4.449745117985472755606e-03 */ + .quad 0xBFD9000000000000 /* B = -.390625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6412330191189C /* PL0 = +8.704448096175471149661e-18 */ + .quad 0x3FD9812B3B03F0A5 /* PH0 = +3.985088421175169703936e-01 */ + .quad 0x3FEAEB08C3C0E84D /* P1 = +8.411907027541559254748e-01 */ + .quad 0xBFD57446B1BC46CF /* P2 = -3.352219329545790787820e-01 */ + .quad 0xBFC2CA9ABC0444AD /* P3 = -1.468079965639267634401e-01 */ + .quad 0x3FC5CA95F9460D18 /* P4 = +1.702449290424759093710e-01 */ + .quad 0xBF2C2DAA35DD05C3 /* P5 = -2.149839664813813012186e-04 */ + .quad 0xBFB069A516EEB75D /* P6 = -6.411201295733578195472e-02 */ + .quad 0x3F9512716416FDC7 /* P7 = +2.057816670798986720058e-02 */ + .quad 0x3F921630CB1319A3 /* P8 = +1.766277541607908852593e-02 */ + .quad 0xBF8B76DA2EC99526 /* P9 = -1.341028647693549562145e-02 */ + .quad 0xBF63A97474A161E4 /* P10 = -2.400138332671485493040e-03 */ + .quad 0xBFDB000000000000 /* B = -.421875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C89B79F5783381C /* PL0 = +4.461236087774530799537e-17 */ + .quad 0x3FDB2A6C993B829D /* PH0 = +4.244643684778937609003e-01 */ + .quad 0x3FEA3C0C1FBA328C /* P1 = +8.198299998926627915155e-01 */ + .quad 0xBFD6457212F78DE0 /* P2 = -3.479886231636708581604e-01 */ + .quad 0xBFC0129BDA380A66 /* P3 = -1.255678954622282824818e-01 */ + .quad 0x3FC5AB77F388FBDE /* P4 = +1.692953051696965507089e-01 */ + .quad 0xBF8822F3A6CADB7C /* P5 = -1.178541519889874597783e-02 */ + .quad 0xBFAE4A876370A4BD /* P6 = -5.916236008517603590739e-02 */ + .quad 0x3F991A89BC3B7710 /* P7 = +2.451529704455085335710e-02 */ + .quad 0x3F8C4A4328204D4B /* P8 = +1.381351915555364098800e-02 */ + .quad 0xBF8C5F921D01EC0B /* P9 = -1.385416174911393178490e-02 */ + .quad 0xBF3EE844C5B79FB8 /* P10 = -4.716079617694784908234e-04 */ + .quad 0xBFDD000000000000 /* B = -.453125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C73FA437AD7AD87 /* PL0 = +1.732779905745858845932e-17 */ + .quad 0x3FDCC88C9902CF45 /* PH0 = +4.497405523536495697279e-01 */ + .quad 0x3FE9870845162D1D /* P1 = +7.977334355686341748810e-01 */ + .quad 0xBFD6F62358F73DA8 /* P2 = -3.587730759436120677668e-01 */ + .quad 0xBFBAC4345D675FE1 /* P3 = -1.045563438450467661101e-01 */ + .quad 0x3FC5539DA8287019 /* P4 = +1.666142531474868131862e-01 */ + .quad 0xBF96E3E0DC04A09F /* P5 = -2.235366194614185212822e-02 */ + .quad 0xBFAB5EC7147C207D /* P6 = -5.345747113284546871398e-02 */ + .quad 0x3F9C24166FFA7A58 /* P7 = +2.748141344511120915667e-02 */ + .quad 0x3F8451B907819844 /* P8 = +9.921498815128277696693e-03 */ + .quad 0xBF8C1C6D19191FCB /* P9 = -1.372609360545586670239e-02 */ + .quad 0x3F547372DF72E35A /* P10 = +1.248228245272117756098e-03 */ + .quad 0xBFDF000000000000 /* B = -.484375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C848FE06EE49950 /* PL0 = +3.566941590788961528958e-17 */ + .quad 0x3FDF20211A36475D /* PH0 = +4.863360172249622803697e-01 */ + .quad 0x3FE86E67E6B80AC2 /* P1 = +7.634772783497611574659e-01 */ + .quad 0xBFD7C37C55474D9B /* P2 = -3.713064987943767913461e-01 */ + .quad 0xBFB2EBF15F3CB036 /* P3 = -7.391270232318521952684e-02 */ + .quad 0x3FC4718C8EF6E3AA /* P4 = +1.597152422016539530950e-01 */ + .quad 0xBFA277F8394E9B07 /* P5 = -3.607154559658991932071e-02 */ + .quad 0xBFA680312AB207E3 /* P6 = -4.394677778419955009224e-02 */ + .quad 0x3F9EDC9A8B57E286 /* P7 = +3.013841128810892143223e-02 */ + .quad 0x3F71B8C5E648EAF6 /* P8 = +4.326603932492947851719e-03 */ + .quad 0xBF89DB218356730C /* P9 = -1.262499029217558458029e-02 */ + .quad 0x3F6B05728E6EBC8E /* P10 = +3.298496001171330815865e-03 */ + .quad 0xBFE1000000000000 /* B = -.53125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8429831EDD94DE /* PL0 = +3.497576705878673192147e-17 */ + .quad 0x3FE10AF47E0BF610 /* PH0 = +5.325872861719194162333e-01 */ + .quad 0x3FE6EC5879F87EEE /* P1 = +7.163507826080299761242e-01 */ + .quad 0xBFD86AD001BFE200 /* P2 = -3.815193192563413204129e-01 */ + .quad 0xBFA239045B661385 /* P3 = -3.559125533778398983564e-02 */ + .quad 0x3FC2B4572D9CC147 /* P4 = +1.461285565105845078038e-01 */ + .quad 0xBFA99F4F01740705 /* P5 = -5.004355328311586406115e-02 */ + .quad 0xBF9F449C484F4879 /* P6 = -3.053516570418721511214e-02 */ + .quad 0x3F9F5F42169D7DDE /* P7 = +3.063681853325116830798e-02 */ + .quad 0xBF6111B1BA632A97 /* P8 = -2.083632588527460989469e-03 */ + .quad 0xBF84725FBE5B6E61 /* P9 = -9.983776089419639342530e-03 */ + .quad 0x3F7438A2986CFA9C /* P10 = +4.936823976832951342488e-03 */ + .quad 0xBFE3000000000000 /* B = -.59375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BE9160BFB3505 /* PL0 = +1.210424670976053242391e-17 */ + .quad 0x3FE26D76F73233C7 /* PH0 = +5.758623912857893101247e-01 */ + .quad 0x3FE56363B5B93937 /* P1 = +6.683825063026124740752e-01 */ + .quad 0xBFD8A2244B27297E /* P2 = -3.848963483730115724200e-01 */ + .quad 0xBF52CA2F101EEF63 /* P3 = -1.146837196286797844817e-03 */ + .quad 0x3FC081BC342243AD /* P4 = +1.289592032012739958675e-01 */ + .quad 0xBFAE38DB4A932344 /* P5 = -5.902753148399722719732e-02 */ + .quad 0xBF91F814D4AE90C6 /* P6 = -1.754791782481459457885e-02 */ + .quad 0x3F9D056AE193C4F3 /* P7 = +2.834097863973723355792e-02 */ + .quad 0xBF7BD0B502D8F3A0 /* P8 = -6.790835451792626336974e-03 */ + .quad 0xBF7B763F7BB8AE2F /* P9 = -6.704566938008179114124e-03 */ + .quad 0x3F76036F42D9AB69 /* P10 = +5.374369252971835729099e-03 */ + .quad 0xBFE5000000000000 /* B = -.65625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8B64AF0450486E /* PL0 = +4.751979286662385162741e-17 */ + .quad 0x3FE3B75F8BCB742D /* PH0 = +6.161344271055263499548e-01 */ + .quad 0x3FE3DA23BC12369F /* P1 = +6.203783677353447780947e-01 */ + .quad 0xBFD8768FF4B46416 /* P2 = -3.822364701932782367281e-01 */ + .quad 0x3F9D67CB8AD9CB1A /* P3 = +2.871625933625941117406e-02 */ + .quad 0x3FBC168CB7827DF4 /* P4 = +1.097190807363331305006e-01 */ + .quad 0xBFB03A2B83C9272E /* P5 = -6.338760344911228324430e-02 */ + .quad 0xBF789FEB595297DC /* P6 = -6.011885959344067548074e-03 */ + .quad 0x3F98BD01B4C335E7 /* P7 = +2.415850320612902513532e-02 */ + .quad 0xBF83BADC303D6535 /* P8 = -9.633751127398152979976e-03 */ + .quad 0xBF6C54E7A1C1E3F3 /* P9 = -3.458454519258407989501e-03 */ + .quad 0x3F7408394B7EF3E7 /* P10 = +4.890655334688332484537e-03 */ + .quad 0xBFE7000000000000 /* B = -.71875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6A48557F6E0D3E /* PL0 = +1.139824111505584215867e-17 */ + .quad 0x3FE4E8D895B010DC /* PH0 = +6.534235881413468227663e-01 */ + .quad 0x3FE25652FAAF8A73 /* P1 = +5.730376144604875448991e-01 */ + .quad 0xBFD7F6C3A57C444B /* P2 = -3.744362941807295084434e-01 */ + .quad 0x3FAB7866E3F99EBE /* P3 = +5.365296872042567001598e-02 */ + .quad 0x3FB6FA1DF47CCD40 /* P4 = +8.975398272450707099784e-02 */ + .quad 0xBFB05508D3741B8E /* P5 = -6.379752314033580026840e-02 */ + .quad 0x3F6C3EFDF7BB279C /* P6 = +3.448005705512137236209e-03 */ + .quad 0x3F9372BADD6D3E27 /* P7 = +1.899234749299530050806e-02 */ + .quad 0xBF860FD5AE65F3DA /* P8 = -1.077238977881649471165e-02 */ + .quad 0xBF47266FFB07E628 /* P9 = -7.064863949032872448118e-04 */ + .quad 0x3F6F9763992C2A05 /* P10 = +3.856367614735181120799e-03 */ + .quad 0xBFE9000000000000 /* B = -.78125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BB6A2B194E3AB /* PL0 = +1.201878007209462528697e-17 */ + .quad 0x3FE602609AAE7C22 /* PH0 = +6.877902051090851731630e-01 */ + .quad 0x3FE0DCBAFE191C7F /* P1 = +5.269446337560025312137e-01 */ + .quad 0xBFD732028428A9FB /* P2 = -3.624273577321727538225e-01 */ + .quad 0x3FB2D92389BE065B /* P3 = +7.362577545975439796588e-02 */ + .quad 0x3FB1F6A9C8C49993 /* P4 = +7.017003203927733370937e-02 */ + .quad 0xBFAF47C0B50B56EE /* P5 = -6.109430513394707378526e-02 */ + .quad 0x3F85A8EDD1356223 /* P6 = +1.057611269668352068104e-02 */ + .quad 0x3F8BE05C5CD1B4FA /* P7 = +1.361152799855823798207e-02 */ + .quad 0xBF85A0EFE4552F76 /* P8 = -1.056086936537046752272e-02 */ + .quad 0x3F559F2A6A356194 /* P9 = +1.319686337259627831943e-03 */ + .quad 0x3F6576F5E989208D /* P10 = +2.620201394425042596201e-03 */ + .quad 0xBFEB000000000000 /* B = -.84375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C80328BD86C8B74 /* PL0 = +2.809809047161267929701e-17 */ + .quad 0x3FE704BB1B7FCB81 /* PH0 = +7.193275010198335595035e-01 */ + .quad 0x3FDEE264AAD6C40C /* P1 = +4.825679462765613089739e-01 */ + .quad 0xBFD637493CE659F1 /* P2 = -3.471243948673921548357e-01 */ + .quad 0x3FB6BE3A3DEE6F4A /* P3 = +8.884014141079635303208e-02 */ + .quad 0x3FAA85EB6470AC0F /* P4 = +5.180297471118688523488e-02 */ + .quad 0xBFACC0146EA4858D /* P5 = -5.615295267694895314457e-02 */ + .quad 0x3F8F8FB683CDDAC5 /* P6 = +1.541082944616557159055e-02 */ + .quad 0x3F819515DEE2CB91 /* P7 = +8.585139145315585602547e-03 */ + .quad 0xBF834E45E6AF9EA1 /* P8 = -9.426637747267209169415e-03 */ + .quad 0x3F65250F197CA56D /* P9 = +2.581147662472352252568e-03 */ + .quad 0x3F57A766026D036C /* P10 = +1.443719500187702367690e-03 */ + .quad 0xBFED000000000000 /* B = -.90625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C716F7EEF7B61AD /* PL0 = +1.512291215142578135651e-17 */ + .quad 0x3FE7F0E1A4CD846E /* PH0 = +7.481544703297353660076e-01 */ + .quad 0x3FDC2D4CC872DC09 /* P1 = +4.402648885256331012598e-01 */ + .quad 0xBFD514A99F92ED53 /* P2 = -3.293861444796750250530e-01 */ + .quad 0x3FB9846A6CF2F337 /* P3 = +9.967675361526749494844e-02 */ + .quad 0x3FA20896939AB161 /* P4 = +3.522177268800664413493e-02 */ + .quad 0xBFA97E801F31EE0D /* P5 = -4.979324703978358553405e-02 */ + .quad 0x3F92A11F47B82085 /* P6 = +1.819275737037219740638e-02 */ + .quad 0x3F717D70FE289C34 /* P7 = +4.270020845559097605514e-03 */ + .quad 0xBF7FDCF1D3F6CE2D /* P8 = -7.779068604054678540132e-03 */ + .quad 0x3F69F607E81AF6B6 /* P9 = +3.169074480722534625181e-03 */ + .quad 0x3F3F925C80D0F889 /* P10 = +4.817462766516585511824e-04 */ + .quad 0xBFEF000000000000 /* B = -.96875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C931A11D7E8606E /* PL0 = +6.627280241435322692188e-17 */ + .quad 0x3FE92BFB370D9B71 /* PH0 = +7.866188121086975515439e-01 */ + .quad 0x3FD866160E454111 /* P1 = +3.812308444367014680480e-01 */ + .quad 0xBFD33149F3801DBA /* P2 = -2.998833539899937679796e-01 */ + .quad 0x3FBBDB6D4C949899 /* P3 = +1.088169395412442909023e-01 */ + .quad 0x3F8D6AB2A74B9343 /* P4 = +1.436366627735597372494e-02 */ + .quad 0xBFA404D1047C5D72 /* P5 = -3.909924678571997970917e-02 */ + .quad 0x3F93C47D9ACCD919 /* P6 = +1.930423981976856424661e-02 */ + .quad 0xBF41B755642CFF1B /* P7 = -5.406538915408738478158e-04 */ + .quad 0xBF74B5301AA1E788 /* P8 = -5.055606752756853900641e-03 */ + .quad 0x3F69A84C5B2A3E68 /* P9 = +3.132008679422249529120e-03 */ + .quad 0xBF3CF47830328C11 /* P10 = -4.418176105877589308931e-04 */ + .quad 0xBFF1000000000000 /* B = -1.0625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C884D471B8FD396 /* PL0 = +4.215701792312937090514e-17 */ + .quad 0x3FEA8DBCBC31897A /* PH0 = +8.298019099859594849278e-01 */ + .quad 0x3FD3EE730537C8EA /* P1 = +3.114287901836535219818e-01 */ + .quad 0xBFD08A05AD27CE32 /* P2 = -2.584242049190123217982e-01 */ + .quad 0x3FBC5255406F84B6 /* P3 = +1.106313021005175045399e-01 */ + .quad 0xBF772FA2F633AA5E /* P4 = -5.660664147607434209241e-03 */ + .quad 0xBF99DD8E4C473FC4 /* P5 = -2.525923100057504533247e-02 */ + .quad 0x3F9183C935B6495D /* P6 = +1.710428610165003372069e-02 */ + .quad 0xBF70471A3A591480 /* P7 = -3.974058583087303228038e-03 */ + .quad 0xBF603DDD4DEBB9A4 /* P8 = -1.982624278176818987264e-03 */ + .quad 0x3F62591E44D3C17F /* P9 = +2.239760512218135956425e-03 */ + .quad 0xBF4C195D3A9B1AB4 /* P10 = -8.575158328419569430544e-04 */ + .quad 0xBFF3000000000000 /* B = -1.1875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C90DD1C9BFF7F64 /* PL0 = +5.850777430004479798187e-17 */ + .quad 0x3FEBAD50A4A68BC1 /* PH0 = +8.649066177207417327466e-01 */ + .quad 0x3FD01FBA72CEE1A5 /* P1 = +2.519365426228666233893e-01 */ + .quad 0xBFCBE432F647C4D6 /* P2 = -2.179015829602010702633e-01 */ + .quad 0x3FBABF92B6E5AC73 /* P3 = +1.044856735731387955105e-01 */ + .quad 0xBF922983AA24E217 /* P4 = -1.773648954369563555378e-02 */ + .quad 0xBF8C72214C14E23A /* P5 = -1.388956082756564056328e-02 */ + .quad 0x3F8ACB4D1F388E8B /* P6 = +1.308307887581540972153e-02 */ + .quad 0xBF740EF8B4A2EE3B /* P7 = -4.897090441029978580995e-03 */ + .quad 0xBF0EA9F30C8DC900 /* P8 = -5.848668076326342477133e-05 */ + .quad 0x3F53CC40D18713AE /* P9 = +1.208365725788622757410e-03 */ + .quad 0xBF4848B86029CBA1 /* P10 = -7.410908004444779592485e-04 */ + .quad 0xBFF5000000000000 /* B = -1.3125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8FB61781D22681 /* PL0 = +5.501032995458057064843e-17 */ + .quad 0x3FEC950A3340C8BF /* PH0 = +8.931933404003514764824e-01 */ + .quad 0x3FC9E1DFFD385423 /* P1 = +2.022056566644617586005e-01 */ + .quad 0xBFC71E2FF88EBA23 /* P2 = -1.806087459239772032583e-01 */ + .quad 0x3FB80AEBD07AB5BA /* P3 = +9.391664352252506838449e-02 */ + .quad 0xBF98404E27EAE6ED /* P4 = -2.368280523908243895884e-02 */ + .quad 0xBF772DA520B5006E /* P5 = -5.658764868087568802107e-03 */ + .quad 0x3F824C9268AF9423 /* P6 = +8.935111827620250551925e-03 */ + .quad 0xBF722AE76D206AE3 /* P7 = -4.435447701349490160113e-03 */ + .quad 0x3F4B807F56298D5E /* P8 = +8.392926941493230644497e-04 */ + .quad 0x3F3D71027DF95D2A /* P9 = +4.492407879061627603159e-04 */ + .quad 0xBF3EBD17676755FB /* P10 = -4.690343988874298905483e-04 */ + .quad 0xBFF7000000000000 /* B = -1.4375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C95393C63CE8224 /* PL0 = +7.363407705201031038415e-17 */ + .quad 0x3FED4E6F464286B0 /* PH0 = +9.158245441687622445670e-01 */ + .quad 0x3FC4A45842B7DE1E /* P1 = +1.612654042980787191461e-01 */ + .quad 0xBFC2E7885AFDD3D0 /* P2 = -1.476908153814791087327e-01 */ + .quad 0x3FB4DD6DD51D3FEB /* P3 = +8.150373890862254580204e-02 */ + .quad 0xBF9A05D3ADAB489C /* P4 = -2.541285274021075503042e-02 */ + .quad 0xBF3459B643B4995C /* P5 = -3.105230313899165257622e-04 */ + .quad 0x3F766B30745F2E3A /* P6 = +5.473317409222350365811e-03 */ + .quad 0xBF6C2C891E555BDF /* P7 = -3.439204988051155730940e-03 */ + .quad 0x3F5194F30D6C576D /* P8 = +1.073109966176012791522e-03 */ + .quad 0x3EF4DBB43C3132A2 /* P9 = +1.989194766975849961365e-05 */ + .quad 0xBF2E45EBAB3C15A0 /* P10 = -2.309656316514087783666e-04 */ + .quad 0xBFF9000000000000 /* B = -1.5625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C75111669651DAA /* PL0 = +1.827249135453834384396e-17 */ + .quad 0x3FEDE1EB5937518F /* PH0 = +9.338280432225917193634e-01 */ + .quad 0x3FC06129C7C8EBB1 /* P1 = +1.279651856910653382507e-01 */ + .quad 0xBFBE9763041064E1 /* P2 = -1.194974789545031421774e-01 */ + .quad 0x3FB1A5B9F9113928 /* P3 = +6.893503504509068635308e-02 */ + .quad 0xBF992145039F9AFE /* P4 = -2.454097590080105816526e-02 */ + .quad 0x3F66CB116EA49C89 /* P5 = +2.782377288116648315142e-03 */ + .quad 0x3F67F972FDF30001 /* P6 = +2.926563829163342740100e-03 */ + .quad 0xBF63A7B5975F02F3 /* P7 = -2.399305983061922438601e-03 */ + .quad 0x3F4FDE7B8777F4C8 /* P8 = +9.725669069095216373599e-04 */ + .quad 0xBF25918876626BA4 /* P9 = -1.645545082212515656240e-04 */ + .quad 0xBF1495123C991F00 /* P10 = -7.851527984669912693674e-05 */ + .quad 0xBFFB000000000000 /* B = -1.6875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9F29A5B7426D27 /* PL0 = +1.081172820484012446345e-16 */ + .quad 0x3FEE56B6F3EFABFC /* PH0 = +9.480852856044061915952e-01 */ + .quad 0x3FB9E3EFD94BB9FC /* P1 = +1.011342912204113371518e-01 */ + .quad 0xBFB88BD9760FECA7 /* P2 = -9.588393337610288420285e-02 */ + .quad 0x3FAD48A0350B3ACF /* P3 = +5.719471595295077387313e-02 */ + .quad 0xBF96CC6A5110F129 /* P4 = -2.226415748394675367257e-02 */ + .quad 0x3F71934687170384 /* P5 = +4.290843485649345772606e-03 */ + .quad 0x3F5407BAF73B3DF9 /* P6 = +1.222546180475235334287e-03 */ + .quad 0xBF591B626C0646DD /* P7 = -1.532407870488964407324e-03 */ + .quad 0x3F48B0E1DD283558 /* P8 = +7.535078860329375669277e-04 */ + .quad 0xBF2B322292840D2B /* P9 = -2.074877932117605962646e-04 */ + .quad 0xBE99E4061120C741 /* P10 = -3.858017559892704559672e-07 */ + .quad 0xBFFD000000000000 /* B = -1.8125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6AF8C2041C67CD /* PL0 = +1.169711482626385762338e-17 */ + .quad 0x3FEEB2DFEDD5EC93 /* PH0 = +9.593352933146824801369e-01 */ + .quad 0x3FB465A205CFB638 /* P1 = +7.967579500083210999681e-02 */ + .quad 0xBFB3914BF68D39FF /* P2 = -7.643580216720378576778e-02 */ + .quad 0x3FA7F21A08C5C734 /* P3 = +4.676896435820623621673e-02 */ + .quad 0xBF93DA9560EA9960 /* P4 = -1.938851741820124550772e-02 */ + .quad 0x3F73953FEC62820E /* P5 = +4.781007481284861359820e-03 */ + .quad 0x3F2749D5E1273E3C /* P6 = +1.776765426044646108071e-04 */ + .quad 0xBF4D46B0B498CE5A /* P7 = -8.934367007839658352859e-04 */ + .quad 0x3F4153D680E1F4C4 /* P8 = +5.287930851093571206574e-04 */ + .quad 0xBF28477014ECA6A2 /* P9 = -1.852344816708944640949e-04 */ + .quad 0x3EFFAC54E07CEB4B /* P10 = +3.020588886147182143902e-05 */ + .quad 0xBFFF000000000000 /* B = -1.9375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7A8AF2BB2231F2 /* PL0 = +2.302217989249372577466e-17 */ + .quad 0x3FEF1994DF724FC8 /* PH0 = +9.718727459135090285258e-01 */ + .quad 0x3FAC65B1BC0C9D58 /* P1 = +5.546336575053583942603e-02 */ + .quad 0xBFAB9937BDA747C8 /* P2 = -5.390333356957871365599e-02 */ + .quad 0x3FA15B42D9EF931C /* P3 = +3.389939222669210777241e-02 */ + .quad 0xBF8EACD8E8507A3C /* P4 = -1.497811755149058215502e-02 */ + .quad 0x3F7263A15721C682 /* P5 = +4.489546046998806349050e-03 */ + .quad 0xBF42A032ACDC3B32 /* P6 = -5.684134900735048121829e-04 */ + .quad 0xBF3431E79B5AD185 /* P7 = -3.081503340170088810438e-04 */ + .quad 0x3F31B51667C7DF5E /* P8 = +2.701930714290502424828e-04 */ + .quad 0xBF1F8709579250AD /* P9 = -1.202678157759563704341e-04 */ + .quad 0x3F01ED8ED1BF9595 /* P10 = +3.419487094883790833778e-05 */ + .quad 0xC001000000000000 /* B = -2.125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C86F3F7C3DAFC55 /* PL0 = +3.981710680748877459333e-17 */ + .quad 0x3FEF73776B2AA2DB /* PH0 = +9.828450291725759901951e-01 */ + .quad 0x3FA16A7FC4D7B900 /* P1 = +3.401564863075812007064e-02 */ + .quad 0xBFA11E03803AD621 /* P2 = -3.343211117082156940532e-02 */ + .quad 0x3F9609591597297F /* P3 = +2.152003473546803654658e-02 */ + .quad 0xBF847E74ED9BBB0C /* P4 = -1.000682211039596246436e-02 */ + .quad 0x3F6BFF771725CD65 /* P5 = +3.417713736035987187864e-03 */ + .quad 0xBF491D1FF73C18FA /* P6 = -7.664114077392807421000e-04 */ + .quad 0x3EF53EE467B51DC5 /* P7 = +2.026145237479599375099e-05 */ + .quad 0x3F160135BE0D94A0 /* P8 = +8.394136922403255700685e-05 */ + .quad 0xBF0B32CB1D276A40 /* P9 = -5.187685350778849443841e-05 */ + .quad 0x3EF4DAF70C12D555 /* P10 = +1.988919462255396826584e-05 */ + .quad 0xC003000000000000 /* B = -2.375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C19DBF4E2E5B7DC /* PL0 = +3.504575836708380670219e-19 */ + .quad 0x3FEFAA7934B75EBD /* PH0 = +9.895597486128832054320e-01 */ + .quad 0x3F9545200830A42C /* P1 = +2.077150392520736492125e-02 */ + .quad 0xBF950C46D285F6BC /* P2 = -2.055464420253970271376e-02 */ + .quad 0x3F8B79F5BFC6513F /* P3 = +1.341621390819425058164e-02 */ + .quad 0xBF7A50ADAD777898 /* P4 = -6.424597194806612772505e-03 */ + .quad 0x3F633A19BE8255E3 /* P5 = +2.347040444940816227383e-03 */ + .quad 0xBF44E609BC2557B7 /* P6 = -6.377742322836087134324e-04 */ + .quad 0x3F1AFCBAD60EAACD /* P7 = +1.029480968230231421206e-04 */ + .quad 0x3EE80476AC34A8EF /* P8 = +1.145240583485084317660e-05 */ + .quad 0xBEF278E23DE463E9 /* P9 = -1.761646478213091821804e-05 */ + .quad 0x3EE209FAF377264D /* P10 = +8.601658563106529694651e-06 */ + .quad 0xC005000000000000 /* B = -2.625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C979D62702C631C /* PL0 = +8.193023793215066385979e-17 */ + .quad 0x3FEFCC04CDBCDC4B /* PH0 = +9.936546343150295390600e-01 */ + .quad 0x3F89E87D088D269A /* P1 = +1.265046770426474576547e-02 */ + .quad 0xBF89BE6721012B80 /* P2 = -1.257019586059526836624e-02 */ + .quad 0x3F80F1C13E8D39D3 /* P3 = +8.273610803056031004326e-03 */ + .quad 0xBF7082DBC9602757 /* P4 = -4.031046430108839563004e-03 */ + .quad 0x3F590BE9BD4E0A11 /* P5 = +1.528719197467002507978e-03 */ + .quad 0xBF3DCC2BEF6D0283 /* P6 = -4.546744598208711809986e-04 */ + .quad 0x3F1A08065C4A8E85 /* P7 = +9.930170842636406837764e-05 */ + .quad 0xBEE528117D0410F3 /* P8 = -1.008821337267942266431e-05 */ + .quad 0xBED0BE73A44FF565 /* P9 = -3.992069257383521775961e-06 */ + .quad 0x3EC9B0C11E342E38 /* P10 = +3.062539904901699218737e-06 */ + .quad 0xC007000000000000 /* B = -2.875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C804B931AD7A3CC /* PL0 = +2.826768921701616830245e-17 */ + .quad 0x3FEFE06EB0688212 /* PH0 = +9.961465306733450209009e-01 */ + .quad 0x3F7F81BD8876224D /* P1 = +7.692089427458426472642e-03 */ + .quad 0xBF7F62A8C699A963 /* P2 = -7.662448196791823756776e-03 */ + .quad 0x3F74C31E2B2A6A28 /* P3 = +5.068891378551522166321e-03 */ + .quad 0xBF6470D537F16227 /* P4 = -2.495209162173734080001e-03 */ + .quad 0x3F4FAEEF61C89673 /* P5 = +9.668988091717359455754e-04 */ + .quad 0xBF33C5E80B349783 /* P6 = -3.017131341088651514023e-04 */ + .quad 0x3F138F3D31037A6B /* P7 = +7.461367590931028650557e-05 */ + .quad 0xBEEB3C780996FFE3 /* P8 = -1.298723536791163711556e-05 */ + .quad 0x3E9D0C75BC8BFEFC /* P9 = +4.328589367358221917138e-07 */ + .quad 0x3EAC3865227764D4 /* P10 = +8.410302755848104487452e-07 */ + .quad 0xC009000000000000 /* B = -3.125 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C5B978B202749F9 /* PL0 = +5.983054034451594408315e-18 */ + .quad 0x3FEFECD6B7EA3128 /* PH0 = +9.976609794698889643882e-01 */ + .quad 0x3F73238B786137FE /* P1 = +4.672570043181776968058e-03 */ + .quad 0xBF731815ACEA072E /* P2 = -4.661640805922390930706e-03 */ + .quad 0x3F6956F0816D5AEE /* P3 = +3.093213784647877798933e-03 */ + .quad 0xBF591A16286C4885 /* P4 = -1.532098425461232453877e-03 */ + .quad 0x3F43B3E3A00C6096 /* P5 = +6.012784434430592468442e-04 */ + .quad 0xBF29441B2A56DEC7 /* P6 = -1.927645836710038499293e-04 */ + .quad 0x3F0A99C3A2E857B6 /* P7 = +5.073669705184196724674e-05 */ + .quad 0xBEE61CB034DDC151 /* P8 = -1.054385361573597042258e-05 */ + .quad 0x3EB792BBC76D6107 /* P9 = +1.405070887824641788698e-06 */ + .quad 0x3E761472362A16F0 /* P10 = +8.225391704739515383837e-08 */ + .quad 0xC00B000000000000 /* B = -3.375 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9C290AFCBDE00D /* PL0 = +9.770074992945060684926e-17 */ + .quad 0x3FEFF45F6D36133A /* PH0 = +9.985806592017987259879e-01 */ + .quad 0x3F673CEC093032DE /* P1 = +2.836667068100913999228e-03 */ + .quad 0xBF67347A7CD844D5 /* P2 = -2.832640870800243808078e-03 */ + .quad 0x3F5EDA25530355DB /* P3 = +1.883064698679040793627e-03 */ + .quad 0xBF4EAD3BBABC1BA9 /* P4 = -9.361783645268534848806e-04 */ + .quad 0x3F3842E61CD35432 /* P5 = +3.701984213198588740338e-04 */ + .quad 0xBF1F9AB7FD1A3DDD /* P6 = -1.205611036090218544867e-04 */ + .quad 0x3F0136C154EA3DED /* P7 = +3.283288480304320224929e-05 */ + .quad 0xBEDF12807F721E66 /* P8 = -7.408207230892235753013e-06 */ + .quad 0x3EB5B53687AD5112 /* P9 = +1.293889481520047941659e-06 */ + .quad 0xBE801E90FBFED147 /* P10 = -1.200988872775447204019e-07 */ + .quad 0xC00D000000000000 /* B = -3.625 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9E323294294877 /* PL0 = +1.047637125334028950603e-16 */ + .quad 0x3FEFF8F21CDAAA62 /* PH0 = +9.991388858373506653976e-01 */ + .quad 0x3F5C3470628813F2 /* P1 = +1.721486807697344658108e-03 */ + .quad 0xBF5C2E38AC6FF8D2 /* P2 = -1.720004411026422324849e-03 */ + .quad 0x3F52C13234626F43 /* P3 = +1.144694354969070234454e-03 */ + .quad 0xBF42B0A47DF47BB4 /* P4 = -5.703738387728891173354e-04 */ + .quad 0x3F2DB2889E32FBFD /* P5 = +2.265731592156760387344e-04 */ + .quad 0xBF1385FBD54C5A55 /* P6 = -7.447576110695385196414e-05 */ + .quad 0x3EF5AFA812C6984E /* P7 = +2.068153223579892541184e-05 */ + .quad 0xBED47097C188A03C /* P8 = -4.873231795467276043290e-06 */ + .quad 0x3EAFF2B982F7EE8C /* P9 = +9.521288628073486288914e-07 */ + .quad 0xBE828EC5B57D424D /* P10 = -1.382656715739529384702e-07 */ + .quad 0xC00F000000000000 /* B = -3.875 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9BA40DA6983BEC /* PL0 = +9.589840482158163453169e-17 */ + .quad 0x3FEFFCAAC3F20E65 /* PH0 = +9.995931460438894911036e-01 */ + .quad 0x3F4AA87CF664754C /* P1 = +8.135423820793490331956e-04 */ + .quad 0xBF4AA5B62919E224 /* P2 = -8.132113891426467676310e-04 */ + .quad 0x3F41C01B53B0B312 /* P3 = +5.416997368051531710388e-04 */ + .quad 0xBF31B8B54D091751 /* P4 = -2.704088811110632606347e-04 */ + .quad 0x3F1C431305954ECC /* P5 = +1.078110084525254933728e-04 */ + .quad 0xBF02B7DEAD0D44E6 /* P6 = -3.570221236393906131126e-05 */ + .quad 0x3EE51C6EFF109EA9 /* P7 = +1.006654199116272154479e-05 */ + .quad 0xBEC48CFB08072D17 /* P8 = -2.449834994621594976610e-06 */ + .quad 0x3EA1585EC59CAE34 /* P9 = +5.169271261920604503617e-07 */ + .quad 0xBE78832BAF950BA9 /* P10 = -9.131575131209528255629e-08 */ + .quad 0xC011000000000000 /* B = -4.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8FBF237F4AFE10 /* PL0 = +5.507163370275307643966e-17 */ + .quad 0x3FEFFEC61279A3A4 /* PH0 = +9.998503075449787225182e-01 */ + .quad 0x3F339E78281A00EA /* P1 = +2.993625022114214863645e-04 */ + .quad 0xBF339DB7B072AD62 /* P2 = -2.993176899035080028902e-04 */ + .quad 0x3F2A259E658EF4E4 /* P3 = +1.994853835451177669594e-04 */ + .quad 0xBF1A219C312B10BA /* P4 = -9.968295880030927192162e-05 */ + .quad 0x3F04E146B4F5F4B7 /* P5 = +3.982541113154699160876e-05 */ + .quad 0xBEEBC5F137088210 /* P6 = -1.324329943580649487333e-05 */ + .quad 0x3ECF96736E300B00 /* P7 = +3.765547135882256916132e-06 */ + .quad 0xBEAF4874840B91EB /* P8 = -9.323068824421825762292e-07 */ + .quad 0x3E8B6AB2B5C8FD3F /* P9 = +2.042709991312793245971e-07 */ + .quad 0xBE650BCCE62FD2B7 /* P10 = -3.920140725219944650830e-08 */ + .quad 0xC013000000000000 /* B = -4.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9C869C85471703 /* PL0 = +9.896883942603146946483e-17 */ + .quad 0x3FEFFF8C81C6DC33 /* PH0 = +9.999449286177707341139e-01 */ + .quad 0x3F1CDF5A2E4D7C69 /* P1 = +1.101397316012206760643e-04 */ + .quad 0xBF1CDEF1F9BE63BE /* P2 = -1.101336660539594564027e-04 */ + .quad 0x3F133EC10C83AAA0 /* P3 = +7.341435696487731017506e-05 */ + .quad 0xBF033DAB325FAACB /* P4 = -3.669909192168459445238e-05 */ + .quad 0x3EEEC598FA98BAD8 /* P5 = +1.467316890843338172161e-05 */ + .quad 0xBED47F1A15BA368E /* P6 = -4.886744445221253126882e-06 */ + .quad 0x3EB761FBE7D201C1 /* P7 = +1.393720509029845064726e-06 */ + .quad 0xBE974CD75A43BF6B /* P8 = -3.471994551992448536007e-07 */ + .quad 0x3E74B02965BBF8DC /* P9 = +7.706929621914905669946e-08 */ + .quad 0xBE504EF4E3892A66 /* P10 = -1.518840362012570189110e-08 */ + .quad 0xC015000000000000 /* B = -5.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C643810400471B0 /* PL0 = +8.768592603904887599187e-18 */ + .quad 0x3FEFFFD583014825 /* PH0 = +9.999797400180382433987e-01 */ + .quad 0x3F053E71416C43CA /* P1 = +4.051955345663706869871e-05 */ + .quad 0xBF053E550C7C8CC9 /* P2 = -4.051873253121394012080e-05 */ + .quad 0x3EFC52D0D90D4843 /* P3 = +2.701139380018752534477e-05 */ + .quad 0xBEEC523A6ADBE142 /* P4 = -1.350460237457883558350e-05 */ + .quad 0x3ED6A73E22D844B3 /* P5 = +5.400965660055565196396e-06 */ + .quad 0xBEBE31D10F23ACD0 /* P6 = -1.799738182979224868919e-06 */ + .quad 0x3EA13E14264DEAB2 /* P7 = +5.138663935333241981438e-07 */ + .quad 0xBE81385ABB98EDCC /* P8 = -1.282999997786486835638e-07 */ + .quad 0x3E5EB9164593E0B6 /* P9 = +2.861301981891537161158e-08 */ + .quad 0xBE387218CFE7772E /* P10 = -5.691705994073124478195e-09 */ + .quad 0xC017000000000000 /* B = -5.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C92530433F4C703 /* PL0 = +6.357512739163799046861e-17 */ + .quad 0x3FEFFFF05E8D3191 /* PH0 = +9.999925467214315633058e-01 */ + .quad 0x3EEF42DDFA52B575 /* P1 = +1.490650158538873335176e-05 */ + .quad 0xBEEF42CEB54212AA /* P2 = -1.490639048307961378200e-05 */ + .quad 0x3EE4D7201CBCB853 /* P3 = +9.937445518550804010127e-06 */ + .quad 0xBED4D6F764B66C37 /* P4 = -4.968574624976280456686e-06 */ + .quad 0x3EC0ABB806EBDE71 /* P5 = +1.987311456171617620608e-06 */ + .quad 0xBEA6399CF854F876 /* P6 = -6.623581475862682369330e-07 */ + .quad 0x3E8964B91728D7C9 /* P7 = +1.891959403186505598965e-07 */ + .quad 0xBE6961A0528444D6 /* P8 = -4.727645325404986954168e-08 */ + .quad 0x3E46AE3B0814EE00 /* P9 = +1.056147192151514779549e-08 */ + .quad 0xBE221B8194DACD16 /* P10 = -2.107984154277957626641e-09 */ + .quad 0xC019000000000000 /* B = -6.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C7BB5622CE1A79E /* PL0 = +2.403331811901679167526e-17 */ + .quad 0x3FEFFFFA3FF22708 /* PH0 = +9.999972580855862602789e-01 */ + .quad 0x3ED7003552D53503 /* P1 = +5.483821309338170039906e-06 */ + .quad 0xBED7003130C1AB92 /* P2 = -5.483806273169366545037e-06 */ + .quad 0x3ECEAAE13B699C45 /* P3 = +3.655850800133043324271e-06 */ + .quad 0xBEBEAACB305F3D07 /* P4 = -1.827905351959291114416e-06 */ + .quad 0x3EA8887F5F9C87EF /* P5 = +7.311461438267648556646e-07 */ + .quad 0xBE905AD08DF8454F /* P6 = -2.437046884027860662692e-07 */ + .quad 0x3E72B068300B703F /* P7 = +6.962228483613086736676e-08 */ + .quad 0xBE52AF921A71C058 /* P8 = -1.740252888706390465423e-08 */ + .quad 0x3E30B53EAA35300D /* P9 = +3.890131469838137725119e-09 */ + .quad 0xBE0AB60CDAD7E22E /* P10 = -7.773963050435300060566e-10 */ + .quad 0xC01B000000000000 /* B = -6.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8BD1ACF80D7256 /* PL0 = +4.825835138930451121169e-17 */ + .quad 0x3FEFFFFDE2760A41 /* PH0 = +9.999989913051835488389e-01 */ + .quad 0x3EC0EC4F1EC27E55 /* P1 = +2.017388615341105998718e-06 */ + .quad 0xBEC0EC4E005E6EAC /* P2 = -2.017386580411626200507e-06 */ + .quad 0x3EB6906504BC4610 /* P3 = +1.344921673533307001969e-06 */ + .quad 0xBEA6905F0D52C8B5 /* P4 = -6.724581235377781360384e-07 */ + .quad 0x3E920D0F5CCE152B /* P5 = +2.689810941136721216499e-07 */ + .quad 0xBE7811505B10E753 /* P6 = -8.965891741619763761543e-08 */ + .quad 0x3E5B811EE4F9B8EE /* P7 = +2.561544781706659619288e-08 */ + .quad 0xBE3B80ABC067E840 /* P8 = -6.403452884688571158579e-09 */ + .quad 0x3E1898E394E09335 /* P9 = +1.431746793613569087489e-09 */ + .quad 0xBDF3ABB5BA711DB7 /* P10 = -2.862469657501951918569e-10 */ + .quad 0xC01D000000000000 /* B = -7.25 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8AE01DB39A3791 /* PL0 = +4.662147961093911873193e-17 */ + .quad 0x3FEFFFFF38C76668 /* PH0 = +9.999996289217962797125e-01 */ + .quad 0x3EA8E712E56E1188 /* P1 = +7.421562696484951529573e-07 */ + .quad 0xBEA8E7124A650791 /* P2 = -7.421559942504648535596e-07 */ + .quad 0x3EA09A0B62D8EF94 /* P3 = +4.947702955735978541097e-07 */ + .quad 0xBE909A09C56C2107 /* P4 = -2.473847805916120382218e-07 */ + .quad 0x3E7A900A90A54A6E /* P5 = +9.895362410487317236618e-08 */ + .quad 0xBE61B5557BB449B6 /* P6 = -3.298434544432568302770e-08 */ + .quad 0x3E443CC74732CDCA /* P7 = +9.423781066565733462466e-09 */ + .quad 0xBE243CA8AA8D6E54 /* P8 = -2.355890888986360997159e-09 */ + .quad 0x3E0219C341E0D1B4 /* P9 = +5.267978308406275552691e-10 */ + .quad 0xBDDCF49A10950F13 /* P10 = -1.053394074620716018815e-10 */ + .quad 0xC01F000000000000 /* B = -7.75 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C75CB18F3775414 /* PL0 = +1.890271747518592444083e-17 */ + .quad 0x3FEFFFFFD38C39F0 /* PH0 = +9.999999172012490333827e-01 */ + .quad 0x3E8639E2F89493BB /* P1 = +1.655974950855472979393e-07 */ + .quad 0xBE8639E2D9B29562 /* P2 = -1.655974813708346974914e-07 */ + .quad 0x3E7DA2836A1F706E /* P3 = +1.103982989742589616541e-07 */ + .quad 0xBE6DA282C6733DAE /* P4 = -5.519913131581509871840e-08 */ + .quad 0x3E57B53A278851FD /* P5 = +2.207971980430773309147e-08 */ + .quad 0xBE3F9C4A72536E22 /* P6 = -7.359895614149337484810e-09 */ + .quad 0x3E220E81FBE19CDD /* P7 = +2.102073153607135257714e-09 */ + .quad 0xBE020E8875ADA8D8 /* P8 = -5.255211642212584097407e-10 */ + .quad 0x3DE07634328384FC /* P9 = +1.197748786062966341989e-10 */ + .quad 0xBDBA54078E3C351F /* P10 = -2.394539505021488953905e-11 */ + .quad 0xC021000000000000 /* B = -8.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C98B78738B0EDEF /* PL0 = +8.575399788039081964921e-17 */ + .quad 0x3FEFFFFFF9FBEA40 /* PH0 = +9.999999887944071019774e-01 */ + .quad 0x3E581056FAC28C46 /* P1 = +2.241118550516412682327e-08 */ + .quad 0xBE581056F63A4351 /* P2 = -2.241118525356742542550e-08 */ + .quad 0x3E500AE49533790A /* P3 = +1.494078933911655875521e-08 */ + .quad 0xBE400AE489ACBA90 /* P4 = -7.470394349637968945652e-09 */ + .quad 0x3E29AB0D59A1967B /* P5 = +2.988168557255271725494e-09 */ + .quad 0xBE111CB32D6EEF2B /* P6 = -9.960558400070350772418e-10 */ + .quad 0x3DF38CBADF396908 /* P7 = +2.844859618921805216353e-10 */ + .quad 0xBDD38CC7B92CECD3 /* P8 = -7.112220386749926320915e-11 */ + .quad 0x3DB1D2BBE2705032 /* P9 = +1.621008722427575444686e-11 */ + .quad 0xBD8C8199294E6380 /* P10 = -3.240784656869469020111e-12 */ + .quad 0xC023000000000000 /* B = -9.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8EEEC16618B984 /* PL0 = +5.365957423487855307906e-17 */ + .quad 0x3FEFFFFFFF2F9279 /* PH0 = +9.999999984834878619111e-01 */ + .quad 0x3E2A0DB0D052B148 /* P1 = +3.033024167396880687734e-09 */ + .quad 0xBE2A0DB0CFA6AB71 /* P2 = -3.033024162734192808028e-09 */ + .quad 0x3E215E75D53A3105 /* P3 = +2.022016035353114070618e-09 */ + .quad 0xBE115E75D40AA47F /* P4 = -1.011008013562702155050e-09 */ + .quad 0x3DFBCA5CDC12ED1C /* P5 = +4.044047007631481841556e-10 */ + .quad 0xBDE286E85704FC22 /* P6 = -1.348015410318274576187e-10 */ + .quad 0x3DC52A8925354517 /* P7 = +3.850101197145027796396e-11 */ + .quad 0xBDA52A97EA3F5F4A /* P8 = -9.625355478142550638468e-12 */ + .quad 0x3D834C011A2AC0F7 /* P9 = +2.193802608697321032841e-12 */ + .quad 0xBD5EDD05BDCB3A62 /* P10 = -4.385948508419928563300e-13 */ + .quad 0xC025000000000000 /* B = -10.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6BD8B474BBF792 /* PL0 = +1.207649585364892639612e-17 */ + .quad 0x3FEFFFFFFFE3CAD8 /* PH0 = +9.999999997947623953110e-01 */ + .quad 0x3DFC3527E43C565F /* P1 = +4.104751852963940338559e-10 */ + .quad 0xBDFC3527E420F415 /* P2 = -4.104751852036136216697e-10 */ + .quad 0x3DF2CE1A8D806DAD /* P3 = +2.736501142887952919489e-10 */ + .quad 0xBDE2CE1A8DDF690A /* P4 = -1.368250573053032426141e-10 */ + .quad 0x3DCE169832D8BD68 /* P5 = +5.473022586854025789680e-11 */ + .quad 0xBDB40F0FE853DA5B /* P6 = -1.824340550195944358477e-11 */ + .quad 0x3D96EA8D930D31A1 /* P7 = +5.210545794901128943676e-12 */ + .quad 0xBD76EA9DB0D09839 /* P8 = -1.302650427355019556441e-12 */ + .quad 0x3D54E474FD4303A1 /* P9 = +2.968990047962355000258e-13 */ + .quad 0xBD30B526CA2B228A /* P10 = -5.935740124899435401321e-14 */ + .quad 0xC027000000000000 /* B = -11.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C56E8953D525FD5 /* PL0 = +4.967494994909661698725e-18 */ + .quad 0x3FEFFFFFFFFC2EB9 /* PH0 = +9.999999999722241073030e-01 */ + .quad 0x3DCE8A37A48016C2 /* P1 = +5.555177547354687971427e-11 */ + .quad 0xBDCE8A37A479B7D4 /* P2 = -5.555177547084873157964e-11 */ + .quad 0x3DC45C250CFA9C16 /* P3 = +3.703451575129414499553e-11 */ + .quad 0xBDB45C250D9F8467 /* P4 = -1.851725791056759260154e-11 */ + .quad 0x3DA049BB33CBD4E9 /* P5 = +7.406930640558963265190e-12 */ + .quad 0xBD85B7A407C422C1 /* P6 = -2.468976464832073512208e-12 */ + .quad 0x3D68CF9CED2B3FD5 /* P7 = +7.051706989348171774536e-13 */ + .quad 0xBD48CFAE64C352B3 /* P8 = -1.762945685274427023683e-13 */ + .quad 0x3D269EAE08690D52 /* P9 = +4.018091287355461204663e-14 */ + .quad 0xBD0216CBEAFFF5AA /* P10 = -8.033151495672990022322e-15 */ + .quad 0xC029000000000000 /* B = -12.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C8ACF1392B106D3 /* PL0 = +4.650601502940921454330e-17 */ + .quad 0x3FEFFFFFFFFF7BBD /* PH0 = +9.999999999962408958609e-01 */ + .quad 0x3DA088529889B316 /* P1 = +7.518115268189742464885e-12 */ + .quad 0xBDA088529887F4C4 /* P2 = -7.518115268005149164680e-12 */ + .quad 0x3D960B18BF1DF711 /* P3 = +5.012076679213679703380e-12 */ + .quad 0xBD860B18BFD99A48 /* P4 = -2.506038344573564868987e-12 */ + .quad 0x3D71A27E7CA64143 /* P5 = +1.002419056539285288454e-12 */ + .quad 0xBD5783530EA76D91 /* P6 = -3.341396294294381580191e-13 */ + .quad 0x3D3ADCC75CBD2A03 /* P7 = +9.543447641637910477850e-14 */ + .quad 0xBD1ADCDA46BE5F17 /* P8 = -2.385887543769010971872e-14 */ + .quad 0x3CF87D77650BE5B8 /* P9 = +5.437895260471143131391e-15 */ + .quad 0xBCD395AE6E74C6D2 /* P10 = -1.087168847335561258239e-15 */ + .quad 0xC02B000000000000 /* B = -13.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C97A8A295292858 /* PL0 = +8.208271151146829171896e-17 */ + .quad 0x3FEFFFFFFFFFEE19 /* PH0 = +9.999999999994911847878e-01 */ + .quad 0x3D71E642BB008F95 /* P1 = +1.017466259229268282255e-12 */ + .quad 0xBD71E642BAFEEC54 /* P2 = -1.017466259207593392022e-12 */ + .quad 0x3D67DDAE41647741 /* P3 = +6.783108169938233581038e-13 */ + .quad 0xBD57DDAE4230F34B /* P4 = -3.391554091734942426856e-13 */ + .quad 0x3D4317C33FAE2536 /* P5 = +1.356626669455791324801e-13 */ + .quad 0xBD2975040D3E26B9 /* P6 = -4.522088139411435138867e-14 */ + .quad 0x3D0D155DCD0F0AFB /* P7 = +1.291565189902030307333e-14 */ + .quad 0xBCED157247832B20 /* P8 = -3.228947666403019234175e-15 */ + .quad 0x3CCA83D70F607C28 /* P9 = +7.359390959466796619024e-16 */ + .quad 0xBCA5343952C1E19E /* P10 = -1.471323041436694087188e-16 */ + .quad 0xC02D000000000000 /* B = -14.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C9B7876CBC5306E /* PL0 = +9.530765996816607711732e-17 */ + .quad 0x3FEFFFFFFFFFFD93 /* PH0 = +9.999999999999310551502e-01 */ + .quad 0x3D436121E2640D76 /* P1 = +1.376990843765503869546e-13 */ + .quad 0xBD436121E26250EA /* P2 = -1.376990843736775811281e-13 */ + .quad 0x3D39D6D7CA259186 /* P3 = +9.179938654047876451320e-14 */ + .quad 0xBD29D6D7CB0327CE /* P4 = -4.589969336188563660531e-14 */ + .quad 0x3D14ABE4DC31244A /* P5 = +1.835994545584345768382e-14 */ + .quad 0xBCFB8FDB82AB6BB7 /* P6 = -6.119980791767901275443e-15 */ + .quad 0x3CDF7CF757491B60 /* P7 = +1.747943407988343076526e-15 */ + .quad 0xBCBF7D0D833640FB /* P8 = -4.369905470133249448357e-16 */ + .quad 0x3C9CB512F6BDC754 /* P9 = +9.959852600692493655511e-17 */ + .quad 0xBC76F50AB1B0E9BA /* P10 = -1.991219205936492089091e-17 */ + .quad 0xC02F000000000000 /* B = -15.5 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C6FFE15D5F78543 /* PL0 = +1.387454417328248962819e-17 */ + .quad 0x3FEFFFFFFFFFFFE1 /* PH0 = +9.999999999999965583086e-01 */ + .quad 0x3CFEE00288B99C26 /* P1 = +6.855635762864742358597e-15 */ + .quad 0xBCFEE0027D060EE2 /* P2 = -6.855635607998342735403e-15 */ + .quad 0x3CF4954AA23148A2 /* P3 = +4.570381865813341696777e-15 */ + .quad 0xBCE4954B5DAD3010 /* P4 = -2.285192173571711474199e-15 */ + .quad 0x3CD07883DD8793BD /* P5 = +9.143109661358222028007e-16 */ + .quad 0xBCB5F5F4BB87ADCF /* P6 = -3.047668447080103869032e-16 */ + .quad 0x3C98F1A905097685 /* P7 = +8.654183371862458774513e-17 */ + .quad 0xBC78F2D585007222 /* P8 = -2.163943551222030413627e-17 */ + .quad 0x3C58A37CC5082B5F /* P9 = +5.342649626494471588064e-18 */ + .quad 0xBC33AE7917F94D17 /* P10 = -1.066938163384541013918e-18 */ + .quad 0xC031000000000000 /* B = -17 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x3C91BF1D80474F0F /* PL0 = +6.157069264461989135096e-17 */ + .quad 0x3FEFFFFFFFFFFFFE /* PH0 = +9.999999999999997779554e-01 */ + .quad 0x3CB72071400E6275 /* P1 = +3.209478247225075961360e-16 */ + .quad 0xBCB72071400A9F37 /* P2 = -3.209478247103497434502e-16 */ + .quad 0x3CAED5EC39A77629 /* P3 = +2.139652050028423711308e-16 */ + .quad 0xBC9ED5EC3B530600 /* P4 = -1.069826028468029104719e-16 */ + .quad 0x3C88AB2BFED159DE /* P5 = +4.279326904335078988705e-17 */ + .quad 0xBC70721D1220B3FC /* P6 = -1.426441958074916244382e-17 */ + .quad 0x3C52C96049721FB8 /* P7 = +4.073700029965821523731e-18 */ + .quad 0xBC32C971215735DC /* P8 = -1.018438939975201710113e-18 */ + .quad 0x3C112EF658AB41A9 /* P9 = +2.328791246104218830028e-19 */ + .quad 0xBBEB7B598C6AD3DE /* P10 = -4.655603964908654142787e-20 */ + .quad 0xC03287E0C98F84E5 /* B = -18.530774 */ + .quad 0x3FF0000000000000 /* A = +1 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* PL0 = +0.000000000000000000000e-01 */ + .quad 0x3FF0000000000000 /* PH0 = +1.000000000000000000000e+00 */ + .quad 0x0000000000000000 /* P1 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P2 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P3 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P4 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P5 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P6 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P7 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P8 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P9 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* P10 = +0.000000000000000000000e-01 */ + .quad 0x0000000000000000 /* B = +0 */ + .quad 0x0000000000000000 /* A = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .quad 0x0000000000000000 /* Align value = +0 */ + .align 32 + .quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 /* _dbSignMask */ + .align 32 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _dbAbsMask */ + .align 32 + .long 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000 /* _iExpMantMask */ + .align 32 + .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMask */ + .align 32 + .long 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000 /* _iMinIdxOfsMask */ + .align 32 + .long 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000 /* _iMaxIdxMask */ + .align 32 + .type __svml_dtanh_data_internal,@object + .size __svml_dtanh_data_internal,.-__svml_dtanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core-avx2.S new file mode 100644 index 0000000000..92fb24a640 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized tanh, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVeN8v_tanh _ZGVeN8v_tanh_avx2_wrapper +#include "../svml_d_tanh8_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core.c new file mode 100644 index 0000000000..495cb1f4fc --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core.c @@ -0,0 +1,27 @@ +/* Multiple versions of vectorized tanh, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVeN8v_tanh +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN8v_tanh, __GI__ZGVeN8v_tanh, __redirect__ZGVeN8v_tanh) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core_avx512.S new file mode 100644 index 0000000000..01fc22ba6f --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tanh8_core_avx512.S @@ -0,0 +1,472 @@ +/* Function tanh vectorized with AVX-512. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_dtanh_data_internal + */ +#define _dC 0 +#define _dP0 128 +#define _dP1 256 +#define _dP2 384 +#define _dP3 512 +#define _dP4 640 +#define _dP5 768 +#define _dP6 896 +#define _dP7 1024 +#define _dP8 1152 +#define _dP9 1280 +#define _dP10 1408 +#define _dP11 1536 +#define _dP12 1664 +#define _dP13 1792 +#define _dP14 1920 +#define _dP15 2048 +#define _dP16 2176 +#define _dP17 2304 +#define _iExpMantMask_UISA 2432 +#define _iMinIdxOfsMask_UISA 2496 +#define _iMaxIdxMask_UISA 2560 +#define _dbSignMask 2624 +#define _dbAbsMask 2688 +#define _iExpMantMask 2752 +#define _iExpMask 2816 +#define _iMinIdxOfsMask 2880 +#define _iMaxIdxMask 2944 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_tanh_skx) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-64, %rsp + subq $320, %rsp + vpsrlq $32, %zmm0, %zmm4 + vmovups %zmm0, (%rsp) + vmovups __svml_dtanh_data_internal(%rip), %zmm14 + vmovups _dP0+__svml_dtanh_data_internal(%rip), %zmm15 + vpmovqd %zmm4, %ymm5 + +/* Constant loading */ + vandpd _dbAbsMask+__svml_dtanh_data_internal(%rip), %zmm0, %zmm13 + vandpd _dbSignMask+__svml_dtanh_data_internal(%rip), %zmm0, %zmm3 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpand _iExpMantMask_UISA+__svml_dtanh_data_internal(%rip), %ymm5, %ymm7 + vmovups _dP2+__svml_dtanh_data_internal(%rip), %zmm0 + vmovups _dP16+__svml_dtanh_data_internal(%rip), %zmm4 + vmovups _dP15+__svml_dtanh_data_internal(%rip), %zmm5 + vmovups %zmm3, 64(%rsp) + vmovups _dP3+__svml_dtanh_data_internal(%rip), %zmm3 + vpsubd _iMinIdxOfsMask_UISA+__svml_dtanh_data_internal(%rip), %ymm7, %ymm8 + +/* if VMIN, VMAX is defined for I type */ + vxorps %ymm9, %ymm9, %ymm9 + vpmaxsd %ymm9, %ymm8, %ymm10 + vpminsd _iMaxIdxMask_UISA+__svml_dtanh_data_internal(%rip), %ymm10, %ymm11 + vpsrld $19, %ymm11, %ymm12 + vmovups _dP12+__svml_dtanh_data_internal(%rip), %zmm8 + vmovups _dP11+__svml_dtanh_data_internal(%rip), %zmm9 + vmovups _dP10+__svml_dtanh_data_internal(%rip), %zmm10 + vmovups _dP9+__svml_dtanh_data_internal(%rip), %zmm11 + vpmovzxdq %ymm12, %zmm2 + vmovups _dP8+__svml_dtanh_data_internal(%rip), %zmm12 + vpermt2pd _dP2+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm0 + vpermt2pd _dC+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm14 + vpermt2pd _dP16+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm4 + vpermt2pd _dP15+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm5 + vsubpd {rn-sae}, %zmm14, %zmm13, %zmm1 + vpermt2pd _dP12+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm8 + vpermt2pd _dP11+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm9 + vpermt2pd _dP10+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm10 + vpermt2pd _dP9+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm11 + vpermt2pd _dP8+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm12 + vpermt2pd _dP3+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm3 + vpermt2pd _dP0+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm15 + vmovups %zmm0, 192(%rsp) + vmovups _dP17+__svml_dtanh_data_internal(%rip), %zmm0 + vmovups _dP7+__svml_dtanh_data_internal(%rip), %zmm13 + vmovups _dP6+__svml_dtanh_data_internal(%rip), %zmm14 + vmovups %zmm3, 256(%rsp) + vmovups _dP5+__svml_dtanh_data_internal(%rip), %zmm3 + vmovups %zmm15, 128(%rsp) + vmovups _dP4+__svml_dtanh_data_internal(%rip), %zmm15 + vpermt2pd _dP17+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm0 + vpermt2pd _dP7+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm13 + vpermt2pd _dP6+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm14 + vpermt2pd _dP5+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm3 + vpermt2pd _dP4+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm15 + vfmadd213pd {rn-sae}, %zmm4, %zmm1, %zmm0 + vpcmpgtd _iExpMask+__svml_dtanh_data_internal(%rip), %ymm7, %ymm6 + vmovmskps %ymm6, %edx + vmovups _dP14+__svml_dtanh_data_internal(%rip), %zmm6 + vfmadd213pd {rn-sae}, %zmm5, %zmm1, %zmm0 + vmovups _dP13+__svml_dtanh_data_internal(%rip), %zmm7 + vpermt2pd _dP14+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm6 + vpermt2pd _dP13+64+__svml_dtanh_data_internal(%rip), %zmm2, %zmm7 + vfmadd213pd {rn-sae}, %zmm6, %zmm1, %zmm0 + vmovups 256(%rsp), %zmm2 + vfmadd213pd {rn-sae}, %zmm7, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm8, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm9, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm10, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm11, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm12, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm13, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm14, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm3, %zmm1, %zmm0 + vmovups 128(%rsp), %zmm3 + vfmadd213pd {rn-sae}, %zmm15, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm2, %zmm1, %zmm0 + vmovups 192(%rsp), %zmm2 + vfmadd213pd {rn-sae}, %zmm2, %zmm1, %zmm0 + vfmadd213pd {rn-sae}, %zmm3, %zmm1, %zmm0 + vorpd 64(%rsp), %zmm0, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups (%rsp), %zmm1 + vmovups %zmm0, 128(%rsp) + vmovups %zmm1, 64(%rsp) + # LOE rbx r12 r13 r14 r15 edx zmm0 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -304; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xfe, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -312; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 0xfe, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -320; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xfe, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $8, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 128(%rsp), %zmm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -304; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xfe, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -312; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc8, 0xfe, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -320; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xfe, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 zmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 64(%rsp,%r14,8), %xmm0 + call tanh@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 128(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN8v_tanh_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_dtanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(64)) VUINT32 _dC[16][2]; + __declspec(align(64)) VUINT32 _dP0[16][2]; + __declspec(align(64)) VUINT32 _dP1[16][2]; + __declspec(align(64)) VUINT32 _dP2[16][2]; + __declspec(align(64)) VUINT32 _dP3[16][2]; + __declspec(align(64)) VUINT32 _dP4[16][2]; + __declspec(align(64)) VUINT32 _dP5[16][2]; + __declspec(align(64)) VUINT32 _dP6[16][2]; + __declspec(align(64)) VUINT32 _dP7[16][2]; + __declspec(align(64)) VUINT32 _dP8[16][2]; + __declspec(align(64)) VUINT32 _dP9[16][2]; + __declspec(align(64)) VUINT32 _dP10[16][2]; + __declspec(align(64)) VUINT32 _dP11[16][2]; + __declspec(align(64)) VUINT32 _dP12[16][2]; + __declspec(align(64)) VUINT32 _dP13[16][2]; + __declspec(align(64)) VUINT32 _dP14[16][2]; + __declspec(align(64)) VUINT32 _dP15[16][2]; + __declspec(align(64)) VUINT32 _dP16[16][2]; + __declspec(align(64)) VUINT32 _dP17[16][2]; + __declspec(align(64)) VUINT32 _iExpMantMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _iMinIdxOfsMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _iMaxIdxMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _dbSignMask[8][2]; + __declspec(align(64)) VUINT32 _dbAbsMask[8][2]; + __declspec(align(64)) VUINT32 _iExpMantMask[16][1]; + __declspec(align(64)) VUINT32 _iExpMask[16][1]; + __declspec(align(64)) VUINT32 _iMinIdxOfsMask[16][1]; + __declspec(align(64)) VUINT32 _iMaxIdxMask[16][1]; +} __svml_dtanh_data_internal; +#endif +__svml_dtanh_data_internal: + /*== _dC ==*/ + .quad 0x0000000000000000, 0x3fcc000000000000, 0x3fd4000000000000, 0x3fdc000000000000 + .quad 0x3fe4000000000000, 0x3fec000000000000, 0x3ff4000000000000, 0x3ffc000000000000 + .quad 0x4004000000000000, 0x400c000000000000, 0x4014000000000000, 0x401c000000000000 + .quad 0x4024000000000000, 0x402c000000000000, 0x4034000000000000, 0x0000000000000000 + /*== p0 ==*/ + .align 64 + .quad 0x0000000000000000, 0x3fcb8fd0416a7c92, 0x3fd35f98a0ea650e, 0x3fda5729ee488037 + .quad 0x3fe1bf47eabb8f95, 0x3fe686650b8c2015, 0x3feb2523bb6b2dee, 0x3fee1fbf97e33527 + .quad 0x3fef9258260a71c2, 0x3feff112c63a9077, 0x3fefff419668df11, 0x3feffffc832750f2 + .quad 0x3feffffffdc96f35, 0x3fefffffffffcf58, 0x3ff0000000000000, 0x3ff0000000000000 + /*== p1 ==*/ + .align 64 + .quad 0x0000000000000000, 0x3c65e23ebcd3bcbe, 0xbc4c600bac3adf00, 0x3c6c44091785d040 + .quad 0x3c8221d7a6e3674b, 0x3c69f89d2cf6b85c, 0x3c73b3e9ec0b8f1c, 0xbc7f8d4b0428aada + .quad 0xbc7c52d880cf43c0, 0x3c7dd36e37096480, 0x3c7b4f6380c442ca, 0xbc729755de470096 + .quad 0x3c84cf852845efbd, 0x3c6fc4fb440a5378, 0xbc63981083b55870, 0x0000000000000000 + /*== p2 ==*/ + .align 64 + .quad 0x3ff0000000000000, 0x3fee842ca3f08532, 0x3fed11574af58f1b, 0x3fea945b9c24e4f9 + .quad 0x3fe6284c3374f815, 0x3fe02500a09f8d6e, 0x3fd1f25131e3a8c0, 0x3fbd22ca1c24a139 + .quad 0x3f9b3afe1fba5c76, 0x3f6dd37d19b22b21, 0x3f27ccec13a9ef96, 0x3ecbe6c3f33250ae + .quad 0x3e41b4865394f75f, 0x3d8853f01bda5f28, 0x3c73953c0197ef58, 0x0000000000000000 + /*== p3 ==*/ + .align 64 + .quad 0xbbf0b3ea3fdfaa19, 0xbfca48aaeb53bc21, 0xbfd19921f4329916, 0xbfd5e0f09bef8011 + .quad 0xbfd893b59c35c882, 0xbfd6ba7cb7576538, 0xbfce7291743d7555, 0xbfbb6d85a01efb80 + .quad 0xbf9addae58c7141a, 0xbf6dc59376c7aa19, 0xbf27cc5e74677410, 0xbecbe6c0e8b4cc87 + .quad 0xbe41b486526b0565, 0xbd8853f01bef63a4, 0xbc73955be519be31, 0x0000000000000000 + /*== p4 ==*/ + .align 64 + .quad 0xbfd5555555555555, 0xbfd183afc292ba11, 0xbfcc1a4b039c9bfa, 0xbfc16e1e6d8d0be6 + .quad 0xbf92426c751e48a2, 0x3fb4f152b2bad124, 0x3fbbba40cbef72be, 0x3fb01ba038be6a3d + .quad 0x3f916df44871efc8, 0x3f63c6869dfc8870, 0x3f1fb9aef915d828, 0x3ec299d1e27c6e11 + .quad 0x3e379b5ddcca334c, 0x3d8037f57bc62c9a, 0x3c6a2d4b50a2cff7, 0x0000000000000000 + /*== p5 ==*/ + .align 64 + .quad 0xbce6863ee44ed636, 0x3fc04dcd0476c75e, 0x3fc43d3449a80f08, 0x3fc5c26f3699b7e7 + .quad 0x3fc1a686f6ab2533, 0x3faf203c316ce730, 0xbf89c7a02788557c, 0xbf98157e26e0d541 + .quad 0xbf807b55c1c7d278, 0xbf53a18d5843190f, 0xbf0fb6bbc89b1a5b, 0xbeb299c9c684a963 + .quad 0xbe279b5dd4fb3d01, 0xbd7037f57ae72aa6, 0xbc5a2ca2bba78e86, 0x0000000000000000 + /*== p6 ==*/ + .align 64 + .quad 0x3fc1111111112ab5, 0x3fb5c19efdfc08ad, 0x3fa74c98dc34fbac, 0xbf790d6a8eff0a77 + .quad 0xbfac3c021789a786, 0xbfae2196b7326859, 0xbf93a7a011ff8c2a, 0x3f6e4709c7e8430e + .quad 0x3f67682afa611151, 0x3f3ef2ee77717cbf, 0x3ef95a4482f180b7, 0x3e9dc2c27da3b603 + .quad 0x3e12e2afd9f7433e, 0x3d59f320348679ba, 0x3c44b61d9bbcc940, 0x0000000000000000 + /*== p7 ==*/ + .align 64 + .quad 0xbda1ea19ddddb3b4, 0xbfb0b8df995ce4df, 0xbfb2955cf41e8164, 0xbfaf9d05c309f7c6 + .quad 0xbf987d27ccff4291, 0x3f8b2ca62572b098, 0x3f8f1cf6c7f5b00a, 0x3f60379811e43dd5 + .quad 0xbf4793826f78537e, 0xbf2405695e36240f, 0xbee0e08de39ce756, 0xbe83d709ba5f714e + .quad 0xbdf92e3fc5ee63e0, 0xbd414cc030f2110e, 0xbc2ba022e8d82a87, 0x0000000000000000 + /*== p8 ==*/ + .align 64 + .quad 0xbfaba1ba1990520b, 0xbf96e37bba52f6fc, 0x3ecff7df18455399, 0x3f97362834d33a4e + .quad 0x3f9e7f8380184b45, 0x3f869543e7c420d4, 0xbf7326bd4914222a, 0xbf5fc15b0a9d98fa + .quad 0x3f14cffcfa69fbb6, 0x3f057e48e5b79d10, 0x3ec33b66d7d77264, 0x3e66ac4e578b9b10 + .quad 0x3ddcc74b8d3d5c42, 0x3d23c589137f92b4, 0x3c107f8e2c8707a1, 0x0000000000000000 + /*== p9 ==*/ + .align 64 + .quad 0xbe351ca7f096011f, 0x3f9eaaf3320c3851, 0x3f9cf823fe761fc1, 0x3f9022271754ff1f + .quad 0xbf731fe77c9c60af, 0xbf84a6046865ec7d, 0xbf4ca3f1f2b9192b, 0x3f4c77dee0afd227 + .quad 0x3f04055bce68597a, 0xbee2bf0cb4a71647, 0xbea31eaafe73efd5, 0xbe46abb02c4368ed + .quad 0xbdbcc749ca8079dd, 0xbd03c5883836b9d2, 0xbbf07a5416264aec, 0x0000000000000000 + /*== p10 ==*/ + .align 64 + .quad 0x3f9664f94e6ac14e, 0xbf94d3343bae39dd, 0xbf7bc748e60df843, 0xbf8c89372b43ba85 + .quad 0xbf8129a092de747a, 0x3f60c85b4d538746, 0x3f5be9392199ec18, 0xbf2a0c68a4489f10 + .quad 0xbf00462601dc2faa, 0x3eb7b6a219dea9f4, 0x3e80cbcc8d4c5c8a, 0x3e2425bb231a5e29 + .quad 0x3d9992a4beac8662, 0x3ce191ba5ed3fb67, 0x3bc892450bad44c4, 0x0000000000000000 + /*== p11 ==*/ + .align 64 + .quad 0xbea8c4c1fd7852fe, 0xbfccce16b1046f13, 0xbf81a16f224bb7b6, 0xbf62cbf00406bc09 + .quad 0x3f75b29bb02cf69b, 0x3f607df0f9f90c17, 0xbf4b852a6e0758d5, 0xbf0078c63d1b8445 + .quad 0x3eec12eadd55be7a, 0xbe6fa600f593181b, 0xbe5a3c935dce3f7d, 0xbe001c6d95e3ae96 + .quad 0xbd74755a00ea1fd3, 0xbcbc1c6c063bb7ac, 0xbba3be9a4460fe00, 0x0000000000000000 + /*== p12 ==*/ + .align 64 + .quad 0xbf822404577aa9dd, 0x403d8b07f7a82aa3, 0xbf9f44ab92fbab0a, 0x3fb2eac604473d6a + .quad 0x3f45f87d903aaac8, 0xbf5e104671036300, 0x3f19bc98ddf0f340, 0x3f0d4304bc9246e8 + .quad 0xbed13c415f7b9d41, 0xbe722b8d9720cdb0, 0x3e322666d739bec0, 0x3dd76a553d7e7918 + .quad 0x3d4de0fa59416a39, 0x3c948716cf3681b4, 0x3b873f9f2d2fda99, 0x0000000000000000 + /*== p13 ==*/ + .align 64 + .quad 0xbefdd99a221ed573, 0x4070593a3735bab4, 0xbfccab654e44835e, 0x3fd13ed80037dbac + .quad 0xbf6045b9076cc487, 0x3f2085ee7e8ac170, 0x3f23524622610430, 0xbeff12a6626911b4 + .quad 0x3eab9008bca408af, 0x3e634df71865f620, 0xbe05bb1bcf83ca73, 0xbdaf2ac143fb6762 + .quad 0xbd23eae52a3dbf57, 0xbc6b5e3e9ca0955e, 0xbb5eca68e2c1ba2e, 0x0000000000000000 + /*== p14 ==*/ + .align 64 + .quad 0x3f6e3be689423841, 0xc0d263511f5baac1, 0x40169f73b15ebe5c, 0xc025c1dd41cd6cb5 + .quad 0xbf58fd89fe05e0d1, 0x3f73f7af01d5af7a, 0xbf1e40bdead17e6b, 0x3ee224cd6c4513e5 + .quad 0xbe24b645e68eeaa3, 0xbe4abfebfb72bc83, 0x3dd51c38f8695ed3, 0x3d8313ac38c6832b + .quad 0x3cf7787935626685, 0x3c401ffc49c6bc29, 0xbabf0b21acfa52ab, 0x0000000000000000 + /*== p15 ==*/ + .align 64 + .quad 0xbf2a1306713a4f3a, 0xc1045e509116b066, 0x4041fab9250984ce, 0xc0458d090ec3de95 + .quad 0xbf74949d60113d63, 0x3f7c9fd6200d0ade, 0x3f02cd40e0ad0a9f, 0xbe858ab8e019f311 + .quad 0xbe792fa6323b7cf8, 0x3e2df04d67876402, 0xbd95c72be95e4d2c, 0xbd55a89c30203106 + .quad 0xbccad6b3bb9eff65, 0xbc12705ccd3dd884, 0xba8e0a4c47ae75f5, 0x0000000000000000 + /*== p16 ==*/ + .align 64 + .quad 0xbf55d7e76dc56871, 0x41528c38809c90c7, 0xc076d57fb5190b02, 0x4085f09f888f8ada + .quad 0x3fa246332a2fcba5, 0xbfb29d851a896fcd, 0x3ed9065ae369b212, 0xbeb8e1ba4c98a030 + .quad 0x3e6ffd0766ad4016, 0xbe0c63c29f505f5b, 0xbd7fab216b9e0e49, 0x3d2826b62056aa27 + .quad 0x3ca313e31762f523, 0x3bea37aa21895319, 0x3ae5c7f1fd871496, 0x0000000000000000 + /*== p17 ==*/ + .align 64 + .quad 0x3f35e67ab76a26e7, 0x41848ee0627d8206, 0xc0a216d618b489ec, 0x40a5b89107c8af4f + .quad 0x3fb69d8374520eda, 0xbfbded519f981716, 0xbef02d288b5b3371, 0x3eb290981209c1a6 + .quad 0xbe567e924bf5ff6e, 0x3de3f7f7de6b0eb6, 0x3d69ed18bae3ebbc, 0xbcf7534c4f3dfa71 + .quad 0xbc730b73f1eaff20, 0xbbba2cff8135d462, 0xbab5a71b5f7d9035, 0x0000000000000000 + .align 64 + .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask_UISA */ + .align 64 + .long 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000, 0x3fc00000 /* _iMinIdxOfsMask_UISA */ + .align 64 + .long 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000, 0x00780000 /* _iMaxIdxMask_UISA */ + .align 64 + .quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 /* _dbSignMask */ + .align 64 + .quad 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff, 0x7fffffffffffffff /* _dbAbsMask */ + .align 64 + .long 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000, 0x7ffe0000 /* _iExpMantMask */ + .align 64 + .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMask */ + .align 64 + .long 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000, 0x3fbe0000 /* _iMinIdxOfsMask */ + .align 64 + .long 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000, 0x00760000 /* _iMaxIdxMask */ + .align 64 + .type __svml_dtanh_data_internal,@object + .size __svml_dtanh_data_internal,.-__svml_dtanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core-avx2.S new file mode 100644 index 0000000000..76bb22229e --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core-avx2.S @@ -0,0 +1,20 @@ +/* AVX2 version of vectorized tanhf. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVeN16v_tanhf _ZGVeN16v_tanhf_avx2_wrapper +#include "../svml_s_tanhf16_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core.c new file mode 100644 index 0000000000..cec4c7ed74 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized tanhf, vector length is 16. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVeN16v_tanhf +#include "ifunc-mathvec-avx512-skx.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVeN16v_tanhf, __GI__ZGVeN16v_tanhf, + __redirect__ZGVeN16v_tanhf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S new file mode 100644 index 0000000000..b6bdf97cc5 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S @@ -0,0 +1,381 @@ +/* Function tanhf vectorized with AVX-512. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_stanh_data_internal + */ +#define _sC 0 +#define _sP0 128 +#define _sP2 256 +#define _sP3 384 +#define _sP4 512 +#define _sP5 640 +#define _sP6 768 +#define _sP7 896 +#define _iExpMantMask_UISA 1024 +#define _iMinIdxOfsMask_UISA 1088 +#define _iMaxIdxMask_UISA 1152 +#define _sSignMask 1216 +#define _sAbsMask 1280 +#define _iExpMantMask 1344 +#define _iExpMask 1408 +#define _iMinIdxOfsMask 1472 +#define _iMaxIdxMask 1536 + +#include <sysdep.h> + + .text + .section .text.exex512,"ax",@progbits +ENTRY(_ZGVeN16v_tanhf_skx) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-64, %rsp + subq $192, %rsp + vmovaps %zmm0, %zmm1 + vmovups __svml_stanh_data_internal(%rip), %zmm9 + vmovups _sP6+__svml_stanh_data_internal(%rip), %zmm11 + vmovups _sP5+__svml_stanh_data_internal(%rip), %zmm12 + vmovups _sP4+__svml_stanh_data_internal(%rip), %zmm13 + vmovups _sP3+__svml_stanh_data_internal(%rip), %zmm14 + vmovups _sP2+__svml_stanh_data_internal(%rip), %zmm15 + vpternlogd $255, %zmm2, %zmm2, %zmm2 + vandps _sAbsMask+__svml_stanh_data_internal(%rip), %zmm1, %zmm8 + vandps _sSignMask+__svml_stanh_data_internal(%rip), %zmm1, %zmm0 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpandd _iExpMantMask_UISA+__svml_stanh_data_internal(%rip), %zmm1, %zmm3 + vpsubd _iMinIdxOfsMask_UISA+__svml_stanh_data_internal(%rip), %zmm3, %zmm4 + vpcmpd $2, _iExpMask+__svml_stanh_data_internal(%rip), %zmm3, %k1 + +/* + * small table specific variables * + * Constant loading + */ + vpxord %zmm5, %zmm5, %zmm5 + +/* if VMIN, VMAX is defined for I type */ + vpmaxsd %zmm5, %zmm4, %zmm6 + vpminsd _iMaxIdxMask_UISA+__svml_stanh_data_internal(%rip), %zmm6, %zmm7 + vpsrld $21, %zmm7, %zmm10 + vmovups _sP7+__svml_stanh_data_internal(%rip), %zmm4 + vpermt2ps _sC+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm9 + vpermt2ps _sP6+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm11 + vpermt2ps _sP7+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm4 + vpermt2ps _sP5+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm12 + vpermt2ps _sP4+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm13 + vpermt2ps _sP3+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm14 + vpermt2ps _sP2+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm15 + vpandnd %zmm3, %zmm3, %zmm2{%k1} + vptestmd %zmm2, %zmm2, %k0 + vmovups _sP0+__svml_stanh_data_internal(%rip), %zmm3 + vsubps {rn-sae}, %zmm9, %zmm8, %zmm2 + kmovw %k0, %edx + vfmadd213ps {rn-sae}, %zmm11, %zmm2, %zmm4 + vpermt2ps _sP0+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm3 + vfmadd213ps {rn-sae}, %zmm12, %zmm2, %zmm4 + vfmadd213ps {rn-sae}, %zmm13, %zmm2, %zmm4 + vfmadd213ps {rn-sae}, %zmm14, %zmm2, %zmm4 + vfmadd213ps {rn-sae}, %zmm15, %zmm2, %zmm4 + vfmadd213ps {rn-sae}, %zmm3, %zmm2, %zmm4 + vorps %zmm0, %zmm4, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm1 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %zmm1, 64(%rsp) + vmovups %zmm0, 128(%rsp) + # LOE rbx r12 r13 r14 r15 edx zmm0 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $16, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 128(%rsp), %zmm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 zmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 64(%rsp,%r14,4), %xmm0 + call tanhf@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movss %xmm0, 128(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN16v_tanhf_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_stanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(64)) VUINT32 _sC[32][1]; + __declspec(align(64)) VUINT32 _sP0[32][1]; + __declspec(align(64)) VUINT32 _sP2[32][1]; + __declspec(align(64)) VUINT32 _sP3[32][1]; + __declspec(align(64)) VUINT32 _sP4[32][1]; + __declspec(align(64)) VUINT32 _sP5[32][1]; + __declspec(align(64)) VUINT32 _sP6[32][1]; + __declspec(align(64)) VUINT32 _sP7[32][1]; + __declspec(align(64)) VUINT32 _iExpMantMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _iMinIdxOfsMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _iMaxIdxMask_UISA[16][1]; + __declspec(align(64)) VUINT32 _sSignMask[16][1]; + __declspec(align(64)) VUINT32 _sAbsMask[16][1]; + __declspec(align(64)) VUINT32 _iExpMantMask[16][1]; + __declspec(align(64)) VUINT32 _iExpMask[16][1]; + __declspec(align(64)) VUINT32 _iMinIdxOfsMask[16][1]; + __declspec(align(64)) VUINT32 _iMaxIdxMask[16][1]; +} __svml_stanh_data_internal; +#endif +__svml_stanh_data_internal: + /*== _sC ==*/ + .long 0x00000000, 0x3d700000, 0x3d900000, 0x3db00000 + .long 0x3dd00000, 0x3df00000, 0x3e100000, 0x3e300000 + .long 0x3e500000, 0x3e700000, 0x3e900000, 0x3eb00000 + .long 0x3ed00000, 0x3ef00000, 0x3f100000, 0x3f300000 + .long 0x3f500000, 0x3f700000, 0x3f900000, 0x3fb00000 + .long 0x3fd00000, 0x3ff00000, 0x40100000, 0x40300000 + .long 0x40500000, 0x40700000, 0x40900000, 0x40b00000 + .long 0x40d00000, 0x40f00000, 0x41100000, 0x00000000 + /*== p0 ==*/ + .align 64 + .long 0x00000000, 0x3d6fb9c9, 0x3d8fc35f, 0x3daf9169 + .long 0x3dcf49ab, 0x3deee849, 0x3e0f0ee8, 0x3e2e4984 + .long 0x3e4d2f8e, 0x3e6bb32e, 0x3e8c51cd, 0x3ea96163 + .long 0x3ec543f1, 0x3edfd735, 0x3f028438, 0x3f18abf0 + .long 0x3f2bc480, 0x3f3bec1c, 0x3f4f2e5b, 0x3f613c53 + .long 0x3f6ce37d, 0x3f743c4f, 0x3f7a5feb, 0x3f7dea85 + .long 0x3f7f3b3d, 0x3f7fb78c, 0x3f7fefd4, 0x3f7ffdd0 + .long 0x3f7fffb4, 0x3f7ffff6, 0x3f7fffff, 0x3f800000 + /*== p2 ==*/ + .align 64 + .long 0x3f800000, 0x3f7f1f84, 0x3f7ebd11, 0x3f7e1e5f + .long 0x3f7d609f, 0x3f7c842d, 0x3f7b00e5, 0x3f789580 + .long 0x3f75b8ad, 0x3f726fd9, 0x3f6cc59b, 0x3f63fb92 + .long 0x3f59ff97, 0x3f4f11d7, 0x3f3d7573, 0x3f24f360 + .long 0x3f0cbfe7, 0x3eec1a69, 0x3eb0a801, 0x3e6753a2 + .long 0x3e132f1a, 0x3db7e7d3, 0x3d320845, 0x3c84d3d4 + .long 0x3bc477b7, 0x3b10d3da, 0x3a01601e, 0x388c1a3b + .long 0x3717b0da, 0x35a43bce, 0x338306c6, 0x00000000 + /*== p3 ==*/ + .align 64 + .long 0xb0343c7b, 0xbd6ee69d, 0xbd8f0da7, 0xbdae477d + .long 0xbdcd2a1f, 0xbdeba80d, 0xbe0c443b, 0xbe293cf3 + .long 0xbe44f282, 0xbe5f3651, 0xbe81c7c0, 0xbe96d7ca + .long 0xbea7fb8e, 0xbeb50e9e, 0xbec12efe, 0xbec4be92 + .long 0xbebce070, 0xbead510e, 0xbe8ef7d6, 0xbe4b8704 + .long 0xbe083237, 0xbdaf7449, 0xbd2e1ec4, 0xbc83bf06 + .long 0xbbc3e0b5, 0xbb10aadc, 0xba0157db, 0xb88c18f2 + .long 0xb717b096, 0xb5a43bae, 0xb383012c, 0x00000000 + /*== p4 ==*/ + .align 64 + .long 0xbeaaaaa5, 0xbeab0612, 0xbea7f01f, 0xbea4e120 + .long 0xbea387b7, 0xbea15962, 0xbe9d57f7, 0xbe976b5a + .long 0xbe90230d, 0xbe880dff, 0xbe7479b3, 0xbe4c3d88 + .long 0xbe212482, 0xbdeb8cba, 0xbd5e78ad, 0x3c6b5e6e + .long 0x3d839143, 0x3dc21ee1, 0x3de347af, 0x3dcbec96 + .long 0x3d99ef2d, 0x3d542ea1, 0x3cdde701, 0x3c2cca67 + .long 0x3b81cb27, 0x3ac073a1, 0x39ac3032, 0x383a94d9 + .long 0x36ca081d, 0x355abd4c, 0x332b3cb6, 0x00000000 + /*== p5 ==*/ + .align 64 + .long 0xb76dd6b9, 0xbe1c276d, 0x3c1dcf2f, 0x3dc1a78d + .long 0x3d96f985, 0x3da2b61b, 0x3dc13397, 0x3dd2f670 + .long 0x3df48a0a, 0x3e06c5a8, 0x3e1a3aba, 0x3e27c405 + .long 0x3e2e78d0, 0x3e2c3e44, 0x3e1d3097, 0x3df4a8f4 + .long 0x3da38508, 0x3d31416a, 0x3b562657, 0xbcaeeac9 + .long 0xbcce9419, 0xbcaaeac4, 0xbc49e7d0, 0xbba71ddd + .long 0xbb003b0e, 0xba3f9a05, 0xb92c08a7, 0xb7ba9232 + .long 0xb64a0b0f, 0xb4dac169, 0xb2ab78ac, 0x00000000 + /*== p6 ==*/ + .align 64 + .long 0x3e0910e9, 0x43761143, 0x4165ecdc, 0xc190f756 + .long 0xc08c097d, 0xc02ba813, 0xbf7f6bda, 0x3f2b1dc0 + .long 0x3ece105d, 0x3f426a94, 0xbadb0dc4, 0x3da43b17 + .long 0xbd51ab88, 0xbcaea23d, 0xbd3b6d8d, 0xbd6caaad + .long 0xbd795bed, 0xbd5fddda, 0xbd038f3b, 0xbc1cad63 + .long 0x3abb4766, 0x3b95f10b, 0x3b825873, 0x3afaea66 + .long 0x3a49f878, 0x39996bf3, 0x388f3e6c, 0x371bb0e3 + .long 0x35a8a5e6, 0x34369b17, 0x322487b0, 0x00000000 + /*== p7 ==*/ + .align 64 + .long 0xbc0e2f66, 0x460bda12, 0x43d638ef, 0xc3e11c3e + .long 0xc2baa4e9, 0xc249da2d, 0xc1859b82, 0x40dd5b57 + .long 0x40494640, 0x40c730a8, 0xbf0f160e, 0x3e30e76f + .long 0xbea81387, 0xbdb26a1c, 0xbd351e57, 0xbb4c01a0 + .long 0x3c1d7bfb, 0x3c722cd1, 0x3c973f1c, 0x3c33a31b + .long 0x3b862ef4, 0x3a27b3d0, 0xba3b5907, 0xba0efc22 + .long 0xb97f9f0f, 0xb8c8af50, 0xb7bdddfb, 0xb64f2950 + .long 0xb4e085b1, 0xb3731dfa, 0xb15a1f04, 0x00000000 + .align 64 + .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMantMask_UISA */ + .align 64 + .long 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000 /* _iMinIdxOfsMask_UISA */ + .align 64 + .long 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000 /* _iMaxIdxMask_UISA */ + .align 64 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ + .align 64 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ + .align 64 + .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ + .align 64 + .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ + .align 64 + .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ + .align 64 + .long 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ + .align 64 + .type __svml_stanh_data_internal,@object + .size __svml_stanh_data_internal,.-__svml_stanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core-sse2.S new file mode 100644 index 0000000000..cd290db337 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core-sse2.S @@ -0,0 +1,20 @@ +/* SSE2 version of vectorized tanhf, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVbN4v_tanhf _ZGVbN4v_tanhf_sse2 +#include "../svml_s_tanhf4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core.c new file mode 100644 index 0000000000..2dcb1f3676 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized tanhf, vector length is 4. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVbN4v_tanhf +#include "ifunc-mathvec-sse4_1.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVbN4v_tanhf, __GI__ZGVbN4v_tanhf, + __redirect__ZGVbN4v_tanhf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S new file mode 100644 index 0000000000..3a0ce20473 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S @@ -0,0 +1,832 @@ +/* Function tanhf vectorized with SSE4. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_stanh_data_internal + */ +#define _dbP 0 +#define _sSignMask 4288 +#define _sAbsMask 4304 +#define _iExpMantMask 4320 +#define _iExpMask 4336 +#define _iMinIdxOfsMask 4352 +#define _iMaxIdxMask 4368 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN4v_tanhf_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + movaps %xmm0, %xmm5 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + movdqu _iExpMantMask+__svml_stanh_data_internal(%rip), %xmm9 + lea _dbP+16+__svml_stanh_data_internal(%rip), %r8 + pand %xmm5, %xmm9 + +/* if VMIN, VMAX is defined for I type */ + pxor %xmm7, %xmm7 + movdqa %xmm9, %xmm6 + psubd _iMinIdxOfsMask+__svml_stanh_data_internal(%rip), %xmm9 + +/* + * small table specific variables * + * Constant loading + */ + movdqu _iMaxIdxMask+__svml_stanh_data_internal(%rip), %xmm10 + movdqa %xmm9, %xmm11 + movdqa %xmm9, %xmm8 + pcmpgtd %xmm10, %xmm11 + pcmpgtd %xmm7, %xmm8 + movdqa %xmm11, %xmm14 + pand %xmm8, %xmm9 + andps %xmm11, %xmm10 + andnps %xmm9, %xmm14 + orps %xmm10, %xmm14 + psrld $14, %xmm14 + movd %xmm14, %edx + pshufd $1, %xmm14, %xmm12 + pshufd $2, %xmm14, %xmm13 + movd %xmm12, %ecx + pshufd $3, %xmm14, %xmm15 + movups _sAbsMask+__svml_stanh_data_internal(%rip), %xmm3 + movslq %edx, %rdx + andps %xmm5, %xmm3 + movslq %ecx, %rcx + pcmpgtd _iExpMask+__svml_stanh_data_internal(%rip), %xmm6 + movd %xmm13, %esi + movups -16(%rdx,%r8), %xmm2 + movaps %xmm2, %xmm0 + movd %xmm15, %edi + movmskps %xmm6, %eax + movups -16(%rcx,%r8), %xmm6 + unpcklpd %xmm6, %xmm0 + unpckhpd %xmm6, %xmm2 + cvtps2pd %xmm3, %xmm6 + movhlps %xmm3, %xmm3 + cvtps2pd %xmm3, %xmm3 + movslq %esi, %rsi + movslq %edi, %rdi + movups (%rcx,%r8), %xmm8 + movups (%rdx,%r8), %xmm12 + movups (%rsi,%r8), %xmm13 + movaps %xmm12, %xmm10 + movups (%rdi,%r8), %xmm9 + movaps %xmm13, %xmm11 + unpckhpd %xmm8, %xmm12 + unpckhpd %xmm9, %xmm13 + mulpd %xmm6, %xmm12 + mulpd %xmm3, %xmm13 + unpcklpd %xmm8, %xmm10 + unpcklpd %xmm9, %xmm11 + addpd %xmm10, %xmm12 + addpd %xmm11, %xmm13 + mulpd %xmm6, %xmm12 + mulpd %xmm3, %xmm13 + addpd %xmm2, %xmm12 + movups -16(%rsi,%r8), %xmm1 + movups -16(%rdi,%r8), %xmm7 + movaps %xmm1, %xmm14 + unpckhpd %xmm7, %xmm1 + addpd %xmm1, %xmm13 + mulpd %xmm12, %xmm6 + mulpd %xmm13, %xmm3 + addpd %xmm0, %xmm6 + unpcklpd %xmm7, %xmm14 + addpd %xmm14, %xmm3 + cvtpd2ps %xmm6, %xmm0 + cvtpd2ps %xmm3, %xmm1 + movups _sSignMask+__svml_stanh_data_internal(%rip), %xmm4 + movlhps %xmm1, %xmm0 + andps %xmm5, %xmm4 + orps %xmm4, %xmm0 + testl %eax, %eax + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm5 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm5, 32(%rsp) + movups %xmm0, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 eax + + xorl %edx, %edx + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %edx, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %eax, %r13d + movq %r14, (%rsp) + cfi_offset(14, -80) + # LOE rbx rbp r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx rbp r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $4, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx rbp r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm0 + +/* Go to exit */ + jmp L(EXIT) + cfi_offset(12, -64) + cfi_offset(13, -72) + cfi_offset(14, -80) + # LOE rbx rbp r12 r13 r14 r15 xmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call tanhf@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movss %xmm0, 48(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN4v_tanhf_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_stanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(16)) VUINT32 _dbP[(134*4)][2]; + __declspec(align(16)) VUINT32 _sSignMask[4][1]; + __declspec(align(16)) VUINT32 _sAbsMask[4][1]; + __declspec(align(16)) VUINT32 _iExpMantMask[4][1]; + __declspec(align(16)) VUINT32 _iExpMask[4][1]; + __declspec(align(16)) VUINT32 _iMinIdxOfsMask[4][1]; + __declspec(align(16)) VUINT32 _iMaxIdxMask[4][1]; +} __svml_stanh_data_internal; +#endif +__svml_stanh_data_internal: + /* Pol_000: err=7.93e-09, x in [0.0000000; 0.0312500]. */ + .quad 0x0000000000000000 /* A00 = +0.000000000000000000000e-01 */ + .quad 0x3FF00000022C70EB /* A01 = +1.000000008097283510367e+00 */ + .quad 0xBED00E878CFFA194 /* A02 = -3.828228912518614443549e-06 */ + .quad 0xBFD551766D0607A9 /* A03 = -3.330970825846813476723e-01 */ + .quad 0xBE53D60CE3E4C297 /* A00 = -1.847383956330407336230e-08 */ + .quad 0x3FF000024177CF5C /* A01 = +1.000002151235967140508e+00 */ + .quad 0xBF1758BC94A51A25 /* A02 = -8.906031613262943753568e-05 */ + .quad 0xBFD53EAE67E0D4F0 /* A03 = -3.319507612644221339337e-01 */ + .quad 0xBE5A9E47EF32D6FE /* A00 = -2.479020984039698285657e-08 */ + .quad 0x3FF00002DA983057 /* A01 = +1.000002721676556793895e+00 */ + .quad 0xBF1BD953509E94AA /* A02 = -1.062352277175377670507e-04 */ + .quad 0xBFD53BDB562EEDD5 /* A03 = -3.317783681520414806876e-01 */ + .quad 0xBE6191BBE496D294 /* A00 = -3.272532162914017685901e-08 */ + .quad 0x3FF0000390492017 /* A01 = +1.000003398528866105366e+00 */ + .quad 0xBF20727E814A57CE /* A02 = -1.254825043772153972919e-04 */ + .quad 0xBFD538DE060A6F22 /* A03 = -3.315959033004550748913e-01 */ + .quad 0xBE66DAFA2A893A25 /* A00 = -4.257146219278012568149e-08 */ + .quad 0x3FF0000465E08CD1 /* A01 = +1.000004194219219266770e+00 */ + .quad 0xBF2341C765EF91B6 /* A02 = -1.469188600530365522261e-04 */ + .quad 0xBFD535B6841FAF9E /* A03 = -3.314033785124993469751e-01 */ + .quad 0xBE6D5794E361E964 /* A00 = -5.465394929765249413434e-08 */ + .quad 0x3FF000055EE2A0CB /* A01 = +1.000005121846742950353e+00 */ + .quad 0xBF265E6C77E66C8B /* A02 = -1.706607253709506650304e-04 */ + .quad 0xBFD53264DDCCEDA6 /* A03 = -3.312008062382240103361e-01 */ + .quad 0xBE729C844D374A6E /* A00 = -6.933284462462096107184e-08 */ + .quad 0x3FF000067F019093 /* A01 = +1.000006195180536350264e+00 */ + .quad 0xBF29CC5348D6DCE5 /* A02 = -1.968242326435338705130e-04 */ + .quad 0xBFD52EE92121ED35 /* A03 = -3.309881995734998416658e-01 */ + .quad 0xBE775AEA17EAA872 /* A00 = -8.700465590574974405858e-08 */ + .quad 0x3FF00007CA1D66B8 /* A01 = +1.000007428656699559610e+00 */ + .quad 0xBF2D8F5EB98A2637 /* A02 = -2.255252009216044881395e-04 */ + .quad 0xBFD52B435CDF9128 /* A03 = -3.307655722585587376727e-01 */ + .quad 0xBE7D04DA28C343F0 /* A00 = -1.081040272327705484794e-07 */ + .quad 0x3FF000094443CCF5 /* A01 = +1.000008837375216730337e+00 */ + .quad 0xBF30D5B76C947AE5 /* A02 = -2.568791210978817814332e-04 */ + .quad 0xBFD52773A0776FAD /* A03 = -3.305329386764651045105e-01 */ + .quad 0xBE81DD77A12C51C7 /* A00 = -1.331054169875768625701e-07 */ + .quad 0x3FF0000AF1AFD2DA /* A01 = +1.000010437096696680470e+00 */ + .quad 0xBF331230624C1680 /* A02 = -2.910011410651516805537e-04 */ + .quad 0xBFD52379FC0B61DF /* A03 = -3.302903138515186909352e-01 */ + .quad 0xBE85D04EEEB3C435 /* A00 = -1.625247628488202841012e-07 */ + .quad 0x3FF0000CD6C9B1F2 /* A01 = +1.000012244238970726684e+00 */ + .quad 0xBF357F0742FADDD4 /* A02 = -3.280060509313874068243e-04 */ + .quad 0xBFD51F56806D0E81 /* A03 = -3.300377134475880880338e-01 */ + .quad 0xBE8A6E289B59681B /* A00 = -1.969211333326924655065e-07 */ + .quad 0x3FF0000EF8268F72 /* A01 = +1.000014275873550406715e+00 */ + .quad 0xBF381E277A1B747A /* A02 = -3.680082682942575423093e-04 */ + .quad 0xBFD51B093F1D6FD4 /* A03 = -3.297751537663746734808e-01 */ + .quad 0xBE8FCBC40EE9ABD5 /* A00 = -2.368983653301529373887e-07 */ + .quad 0x3FF000115A883B6C /* A01 = +1.000016549721943981410e+00 */ + .quad 0xBF3AF17AC974B3D9 /* A02 = -4.111218235774406434303e-04 */ + .quad 0xBFD516924A4C549C /* A03 = -3.295026517456081105450e-01 */ + .quad 0xBE92FFBC60A3F956 /* A00 = -2.831066871072026054144e-07 */ + .quad 0x3FF0001402DCED8A /* A01 = +1.000019084151832604590e+00 */ + .quad 0xBF3DFAE9390C4801 /* A02 = -4.574603454311488280083e-04 */ + .quad 0xBFD511F1B4D7DC3A /* A03 = -3.292202249571719585575e-01 */ + .quad 0xBE9690A22F96D5AD /* A00 = -3.362443262393081632612e-07 */ + .quad 0x3FF00016F63EFF5D /* A01 = +1.000021898173108825247e+00 */ + .quad 0xBF409E2C839605BB /* A02 = -5.071370461992499986334e-04 */ + .quad 0xBFD50D27924BEE00 /* A03 = -3.289278916051614487515e-01 */ + .quad 0xBE9AA56C65E72A73 /* A00 = -3.970591019557469835586e-07 */ + .quad 0x3FF0001A39F4A43E /* A01 = +1.000025011433776978009e+00 */ + .quad 0xBF425BD74C3D6667 /* A02 = -5.602647074553602319844e-04 */ + .quad 0xBFD50833F6E1ABA2 /* A03 = -3.286256705238718156536e-01 */ + .quad 0xBE9F4BD4FF1A83B0 /* A00 = -4.663500013744687071912e-07 */ + .quad 0x3FF0001DD36F9EC2 /* A01 = +1.000028444215715683896e+00 */ + .quad 0xBF44376634149405 /* A02 = -6.169556656102642569831e-04 */ + .quad 0xBFD50316F77EDEE5 /* A03 = -3.283135811757190158922e-01 */ + .quad 0xBEA3B625387BB079 /* A00 = -5.874486399249461304297e-07 */ + .quad 0x3FF00023E14CFBA9 /* A01 = +1.000034217911642153709e+00 */ + .quad 0xBF47392F923218D2 /* A02 = -7.087213783883111826306e-04 */ + .quad 0xBFD4FB1FACDEB938 /* A03 = -3.278273761924483942209e-01 */ + .quad 0xBEAA6E24F543500A /* A00 = -7.876828740601738750574e-07 */ + .quad 0x3FF0002D5C6E8412 /* A01 = +1.000043259679163742959e+00 */ + .quad 0xBF4BAF02BD7FDD70 /* A02 = -8.448375110664940040861e-04 */ + .quad 0xBFD4EFEE6527A7DE /* A03 = -3.271442401734229177279e-01 */ + .quad 0xBEB16E3EBE2157D0 /* A00 = -1.038947396133402500647e-06 */ + .quad 0x3FF00038990FEE2F /* A01 = +1.000053975962952312884e+00 */ + .quad 0xBF50569481C574CB /* A02 = -9.972048056490652716971e-04 */ + .quad 0xBFD4E419278DA2B4 /* A03 = -3.264220129263251113372e-01 */ + .quad 0xBEB6A7B6723165D4 /* A00 = -1.350350836279403750524e-06 */ + .quad 0x3FF00045CAB4158E /* A01 = +1.000066558657042303793e+00 */ + .quad 0xBF531D7C9C849108 /* A02 = -1.166698160951775212202e-03 */ + .quad 0xBFD4D7A0BB33B152 /* A03 = -3.256608799117844954552e-01 */ + .quad 0xBEBD0EE2A8654AFD /* A00 = -1.732000471561702711532e-06 */ + .quad 0x3FF00055276F18D6 /* A01 = +1.000081209219890521211e+00 */ + .quad 0xBF562FDBA3FB6C6C /* A02 = -1.354183666925102939860e-03 */ + .quad 0xBFD4CA85F1B93DB2 /* A03 = -3.248610363561638125773e-01 */ + .quad 0xBEC269D4036A207E /* A00 = -2.195047297096822741730e-06 */ + .quad 0x3FF00066E7DA6E4E /* A01 = +1.000098138500919997540e+00 */ + .quad 0xBF5991499FC36B3A /* A02 = -1.560518167983372759405e-03 */ + .quad 0xBFD4BCC9A72283D6 /* A03 = -3.240226871658341556426e-01 */ + .quad 0xBEC7154B6C09CFE1 /* A00 = -2.751729738565190291276e-06 */ + .quad 0x3FF0007B47086B80 /* A01 = +1.000117566559055148900e+00 */ + .quad 0xBF5D455433B4F8F4 /* A02 = -1.786548832412968197680e-03 */ + .quad 0xBFD4AE6CC1BFE145 /* A03 = -3.231460468373550942722e-01 */ + .quad 0xBECCA68CC64A0F8A /* A00 = -3.415415948561670285790e-06 */ + .quad 0x3FF00092827742F7 /* A01 = +1.000139722473418535387e+00 */ + .quad 0xBF60A7BF15A527AF /* A02 = -2.033112728132522705610e-03 */ + .quad 0xBFD49F703214084C /* A03 = -3.222313393636155876010e-01 */ + .quad 0xBED19E68676B241B /* A00 = -4.200644630977303616698e-06 */ + .quad 0x3FF000ACDA037B26 /* A01 = +1.000164844146362863597e+00 */ + .quad 0xBF62D99F836A02F8 /* A02 = -2.301036405072284102280e-03 */ + .quad 0xBFD48FD4F2B91B28 /* A03 = -3.212787981359945810311e-01 */ + .quad 0xBED57CF4B0C7AA54 /* A00 = -5.123164339408145209103e-06 */ + .quad 0x3FF000CA8FD9E1A1 /* A01 = +1.000193178099017865534e+00 */ + .quad 0xBF653A014548E686 /* A02 = -2.591135484433962181405e-03 */ + .quad 0xBFD47F9C0844B38F /* A03 = -3.202886658426046806447e-01 */ + .quad 0xBEDA012B1B1A41E2 /* A00 = -6.199971197454598722328e-06 */ + .quad 0x3FF000EBE868FDF4 /* A01 = +1.000224979259539459520e+00 */ + .quad 0xBF67CA9427E0A544 /* A02 = -2.904214255086275467410e-03 */ + .quad 0xBFD46EC6812ADB37 /* A03 = -3.192611943626845749655e-01 */ + .quad 0xBEDF3EAC5BF12194 /* A00 = -7.449344990702664567927e-06 */ + .quad 0x3FF001112A520784 /* A01 = +1.000260510744255704196e+00 */ + .quad 0xBF6A8D01ABDA4DC4 /* A02 = -3.241065277345108255891e-03 */ + .quad 0xBFD45D55759FFA4A /* A03 = -3.181966446572103146551e-01 */ + .quad 0xBEE2A541BC274267 /* A00 = -8.890883582164319970972e-06 */ + .quad 0x3FF0013A9E5961F2 /* A01 = +1.000300043631906721231e+00 */ + .quad 0xBF6D82ECD080C540 /* A02 = -3.602468994380686462264e-03 */ + .quad 0xBFD44B4A0779C0AD /* A03 = -3.170952866557950611259e-01 */ + .quad 0xBEE61D97609A27F4 /* A00 = -1.054553560499505625520e-05 */ + .quad 0x3FF001688F56A3AF /* A01 = +1.000343856731187974773e+00 */ + .quad 0xBF7056F8EFB683EC /* A02 = -3.989193351487490407647e-03 */ + .quad 0xBFD438A5620F0F74 /* A03 = -3.159573991399533543500e-01 */ + .quad 0xBEEA145429EDD370 /* A00 = -1.243563138839952927732e-05 */ + .quad 0x3FF0019B4A242A67 /* A01 = +1.000392236341804297339e+00 */ + .quad 0xBF7207D31CA78D9B /* A02 = -4.401993423445739288258e-03 */ + .quad 0xBFD42568BA16E7CD /* A03 = -3.147832696228050619602e-01 */ + .quad 0xBEEE96370D52680F /* A00 = -1.458491207477835326165e-05 */ + .quad 0x3FF001D31D8E4115 /* A01 = +1.000445476009251821736e+00 */ + .quad 0xBF73D4CC11EDC094 /* A02 = -4.841611050196221316400e-03 */ + .quad 0xBFD411954D8664E7 /* A03 = -3.135731942252974469021e-01 */ + .quad 0xBEF338C046215EF8 /* A00 = -1.833122622260562810219e-05 */ + .quad 0x3FF00230C32C2EC1 /* A01 = +1.000534784691737621998e+00 */ + .quad 0xBF76BD019BCC5DAF /* A02 = -5.551344188254799492943e-03 */ + .quad 0xBFD3F2C7156DC21E /* A03 = -3.116929730668135389848e-01 */ + .quad 0xBEF9B15EAE411EAE /* A00 = -2.450261207822986676092e-05 */ + .quad 0x3FF002C2DF057A4D /* A01 = +1.000674124886830940184e+00 */ + .quad 0xBF7B08CCD9AC1E30 /* A02 = -6.600189396301511801646e-03 */ + .quad 0xBFD3C7A7A114FED8 /* A03 = -3.090609620157755976777e-01 */ + .quad 0xBF00E36483C373B3 /* A00 = -3.221178528332122595812e-05 */ + .quad 0x3FF0036F419480D7 /* A01 = +1.000838524028997644777e+00 */ + .quad 0xBF7FD255D1777007 /* A02 = -7.768950679260206403087e-03 */ + .quad 0xBFD39A453911D6CE /* A03 = -3.062909180947429588215e-01 */ + .quad 0xBF05DFA04DD12059 /* A00 = -4.172046622180685472624e-05 */ + .quad 0x3FF00438B2A03D8D /* A01 = +1.001030633695197069599e+00 */ + .quad 0xBF828F8DBB4A9D10 /* A02 = -9.062869337255224921890e-03 */ + .quad 0xBFD36AAB704697D9 /* A03 = -3.033856007044711255993e-01 */ + .quad 0xBF0BF3E0C647DEFB /* A00 = -5.331544597092331081714e-05 */ + .quad 0x3FF005221063D36D /* A01 = +1.001253189109060359741e+00 */ + .quad 0xBF857A2CB3C96102 /* A02 = -1.048693584122917590862e-02 */ + .quad 0xBFD338E65BBB4FEC /* A03 = -3.003478904549854444639e-01 */ + .quad 0xBF11A506ED7C9D31 /* A00 = -6.730894835681591541979e-05 */ + .quad 0x3FF0062E4D0EA92A /* A01 = +1.001508999829250345925e+00 */ + .quad 0xBF88AB82C2761AF3 /* A02 = -1.204588085125866091241e-02 */ + .quad 0xBFD305028D6BD206 /* A03 = -2.971807843271395688234e-01 */ + .quad 0xBF1607C0922D9BF1 /* A00 = -8.403885708006799337092e-05 */ + .quad 0x3FF007606C341961 /* A01 = +1.001800940198869449560e+00 */ + .quad 0xBF8C25E6DA487BCF /* A02 = -1.374416688582682892494e-02 */ + .quad 0xBFD2CF0D0EE8F7B5 /* A03 = -2.938873906713255768075e-01 */ + .quad 0xBF1B3A8480A0A16D /* A00 = -1.038688061788578038307e-04 */ + .quad 0x3FF008BB802D02D6 /* A01 = +1.002131939589323561535e+00 */ + .quad 0xBF8FEB8AE99FD100 /* A02 = -1.558598065819483124983e-02 */ + .quad 0xBFD297135BD0911B /* A03 = -2.904709240558688843059e-01 */ + .quad 0xBF20ABB9BDB75C65 /* A00 = -1.271881327357976163798e-04 */ + .quad 0x3FF00A42A76D8CD1 /* A01 = +1.002504972472525901495e+00 */ + .quad 0xBF91FF3D752BB9E6 /* A02 = -1.757522609380570560722e-02 */ + .quad 0xBFD25D235C1F88B4 /* A03 = -2.869346999779154305799e-01 */ + .quad 0xBF243D3254425461 /* A00 = -1.544116913733432829448e-04 */ + .quad 0x3FF00BF909D1795E /* A01 = +1.002923048355647051011e+00 */ + .quad 0xBF94304E04D44942 /* A02 = -1.971551804042204897316e-02 */ + .quad 0xBFD2214B5E61CFA6 /* A03 = -2.832821294498394371075e-01 */ + .quad 0xBF286070011B61CE /* A00 = -1.859795307186510085994e-04 */ + .quad 0x3FF00DE1D5E1627E /* A01 = +1.003389201612804537689e+00 */ + .quad 0xBF9689D5F4163F59 /* A02 = -2.201017668045266231780e-02 */ + .quad 0xBFD1E39A11C3B42C /* A03 = -2.795167134743816728104e-01 */ + .quad 0xBF2D250B366A79E8 /* A00 = -2.223564326486314902259e-04 */ + .quad 0x3FF010003E134001 /* A01 = +1.003906481248123094829e+00 */ + .quad 0xBF990C9FF91F6F81 /* A02 = -2.446222265267250853271e-02 */ + .quad 0xBFD1A41E80084CDC /* A03 = -2.756420374218586655246e-01 */ + .quad 0xBF314DB5DDC2A30E /* A00 = -2.640313157465248123865e-04 */ + .quad 0x3FF012577608921B /* A01 = +1.004477940624503018441e+00 */ + .quad 0xBF9BB9626875B0C9 /* A02 = -2.707437288829409385849e-02 */ + .quad 0xBFD162E80768A9D0 /* A03 = -2.716617653228725615122e-01 */ + .quad 0xBF346A6133808864 /* A00 = -3.115165050094957730625e-04 */ + .quad 0x3FF014EAAFCC88A3 /* A01 = +1.005106627192198898157e+00 */ + .quad 0xBF9E90BEF9BF7419 /* A02 = -2.984903716411588595059e-02 */ + .quad 0xBFD12006545F7FAD /* A03 = -2.675796340899932457269e-01 */ + .quad 0xBF37F180DC3848EA /* A00 = -3.653468704395550778821e-04 */ + .quad 0x3FF017BD19147861 /* A01 = +1.005795572250939295955e+00 */ + .quad 0xBFA0C9A14C702E07 /* A02 = -3.278831537326359207851e-02 */ + .quad 0xBFD0DB895B650092 /* A03 = -2.633994476818851682154e-01 */ + .quad 0xBF3BEC6AAC6D7635 /* A00 = -4.260788377246944457107e-04 */ + .quad 0x3FF01AD1D884E719 /* A01 = +1.006547780778822565040e+00 */ + .quad 0xBFA260B2A1B1434A /* A02 = -3.589399551186163439542e-02 */ + .quad 0xBFD09581529E93D6 /* A03 = -2.591250712233067465817e-01 */ + .quad 0xBF4164E26167882B /* A00 = -5.308251737086202562063e-04 */ + .quad 0x3FF01FEF14B62B81 /* A01 = +1.007796364693348545316e+00 */ + .quad 0xBFA4EB014538AA42 /* A02 = -4.085544557559163403315e-02 */ + .quad 0xBFD029D36FEAF41F /* A03 = -2.525528519580024222613e-01 */ + .quad 0xBF46F6FFF4E53DC8 /* A00 = -7.008313930700277652464e-04 */ + .quad 0x3FF027CBB51CBBA0 /* A01 = +1.009715754956893363214e+00 */ + .quad 0xBFA89DEC9FEC112E /* A02 = -4.807986690687680864098e-02 */ + .quad 0xBFCF2A99464D0DB4 /* A03 = -2.434875100390009317053e-01 */ + .quad 0xBF4DCC9C4F66A4D9 /* A00 = -9.094012482836712945103e-04 */ + .quad 0x3FF030E7CFCCD583 /* A01 = +1.011939822882909068014e+00 */ + .quad 0xBFACAA3B95814081 /* A02 = -5.598627281199331645611e-02 */ + .quad 0xBFCDF78F156BE7CF /* A03 = -2.341173987004467604844e-01 */ + .quad 0xBF5308ED74E5C7A6 /* A00 = -1.161796466103906435435e-03 */ + .quad 0x3FF03B5986412ECB /* A01 = +1.014489674026594512313e+00 */ + .quad 0xBFB087EBA88DCC3F /* A02 = -6.457398285947223148806e-02 */ + .quad 0xBFCCBB9BD134862F /* A03 = -2.244753619680052991736e-01 */ + .quad 0xBF57FA23C00DF4B5 /* A00 = -1.463446533505758208674e-03 */ + .quad 0x3FF0473558A1BCC0 /* A01 = +1.017384859292903342975e+00 */ + .quad 0xBFB2E702BC6360EF /* A02 = -7.383744334527241048871e-02 */ + .quad 0xBFCB77D546379288 /* A03 = -2.145945160729250122955e-01 */ + .quad 0xBF5DD12971557F71 /* A00 = -1.819887610814388068450e-03 */ + .quad 0x3FF0548DDF5000A8 /* A01 = +1.020643112482540360020e+00 */ + .quad 0xBFB571B63DA186E1 /* A02 = -8.376635555898871710045e-02 */ + .quad 0xBFCA2D5202605148 /* A03 = -2.045080672838912594358e-01 */ + .quad 0xBF6252B1AD5D4F17 /* A00 = -2.236697221556737096709e-03 */ + .quad 0x3FF063738A910BF7 /* A01 = +1.024280110622155737232e+00 */ + .quad 0xBFB8270C8E6B601B /* A02 = -9.434584118878357184013e-02 */ + .quad 0xBFC8DD27D950A07E /* A03 = -1.942491351230763441116e-01 */ + .quad 0xBF66470C91730CFC /* A00 = -2.719425723258004842786e-03 */ + .quad 0x3FF073F468FCF331 /* A01 = +1.028309259519300633556e+00 */ + .quad 0xBFBB05C2952191E4 /* A02 = -1.055566419686964629854e-01 */ + .quad 0xBFC7886A770DE2BD /* A03 = -1.838505822486435070662e-01 */ + .quad 0xBF6AD114AC8E98EC /* A00 = -3.273525599485007861467e-03 */ + .quad 0x3FF0861BF53E5226 /* A01 = +1.032741506559554434119e+00 */ + .quad 0xBFBE0C4F9B461507 /* A02 = -1.173753503881763554650e-01 */ + .quad 0xBFC6302A037CDE3A /* A03 = -1.733448521642786954722e-01 */ + .quad 0xBF6FFBDE2A6C2AF8 /* A00 = -3.904279630096648551207e-03 */ + .quad 0x3FF099F2EB8E7DA3 /* A01 = +1.037585182326304034106e+00 */ + .quad 0xBFC09C74D192DDF0 /* A02 = -1.297746680554463516444e-01 */ + .quad 0xBFC4D571D8E3079F /* A03 = -1.627638157861470424859e-01 */ + .quad 0xBF72E8FDC0B952AA /* A00 = -4.616728994353872309042e-03 */ + .quad 0x3FF0AF7F273C9533 /* A01 = +1.042845872181101141152e+00 */ + .quad 0xBFC244C512736F10 /* A02 = -1.427236881344176033792e-01 */ + .quad 0xBFC379474F58B902 /* A03 = -1.521386277613104298645e-01 */ + .quad 0xBF762EABAF17395B /* A00 = -5.415602341101023557701e-03 */ + .quad 0x3FF0C6C3886F63FB /* A01 = +1.048526318502125631582e+00 */ + .quad 0xBFC3FDF9918EA12A /* A02 = -1.561881981590514389957e-01 */ + .quad 0xBFC21CA89ECAB895 /* A03 = -1.414995932913753196036e-01 */ + .quad 0xBF79D387CE5B2BAE /* A00 = -6.305246822828998107258e-03 */ + .quad 0x3FF0DFBFE2346376 /* A01 = +1.054626353847394337748e+00 */ + .quad 0xBFC5C6DA43602620 /* A02 = -1.701309994680721970894e-01 */ + .quad 0xBFC0C08BD8DB6631 /* A03 = -1.308760460731704100557e-01 */ + .quad 0xBF7DDBA8E8DA9060 /* A00 = -7.289562037531366334164e-03 */ + .quad 0x3FF0FA70F0D1B464 /* A01 = +1.061142864894713433443e+00 */ + .quad 0xBFC79E18D92BAA7C /* A02 = -1.845122394946264732241e-01 */ + .quad 0xBFBECBBBF74C2669 /* A03 = -1.202962378266875381749e-01 */ + .quad 0xBF81254E76EA25DA /* A00 = -8.371937755572145950511e-03 */ + .quad 0x3FF116D05835EBD0 /* A01 = +1.068069786618014660462e+00 */ + .quad 0xBFC982539E2ED224 /* A02 = -1.992897531869327609755e-01 */ + .quad 0xBFBC1B043C350159 /* A03 = -1.097872397413132278254e-01 */ + .quad 0xBF8391ACBA863403 /* A00 = -9.555196230190082448686e-03 */ + .quad 0x3FF134D4AA477FE2 /* A01 = +1.075398125794884141015e+00 */ + .quad 0xBFCB7218609FEAFB /* A02 = -2.144194099235717521079e-01 */ + .quad 0xBFB970A16CB88329 /* A03 = -9.937485603633135211599e-02 */ + .quad 0xBF87935088E48E8B /* A00 = -1.151144902957603431692e-02 */ + .quad 0x3FF1649892AD7DD3 /* A01 = +1.087059567413110938716e+00 */ + .quad 0xBFCE6971DDE75409 /* A02 = -2.375929196847723912089e-01 */ + .quad 0xBFB58291E88CB251 /* A03 = -8.402358939628952472223e-02 */ + .quad 0xBF8DB3A62C325325 /* A00 = -1.450280973794233242702e-02 */ + .quad 0x3FF1A9C900C6DEEA /* A01 = +1.103951457056548068891e+00 */ + .quad 0xBFD13DBC65B0E08E /* A02 = -2.693930619311765140012e-01 */ + .quad 0xBFB06696F62696D1 /* A03 = -6.406539449252625362252e-02 */ + .quad 0xBF92583699F2E27A /* A00 = -1.791463198307716858659e-02 */ + .quad 0x3FF1F451B85AA9F0 /* A01 = +1.122148246892376022288e+00 */ + .quad 0xBFD34FD5F8288180 /* A02 = -3.017477916164565954205e-01 */ + .quad 0xBFA6FB692825B683 /* A03 = -4.488686194495718900788e-02 */ + .quad 0xBF9641C26E673D6F /* A00 = -2.173522757385398448959e-02 */ + .quad 0x3FF24364DA5E2B07 /* A01 = +1.141453602790251542487e+00 */ + .quad 0xBFD564A5A5EF5890 /* A02 = -3.342680092295120530821e-01 */ + .quad 0xBF9B43712011A982 /* A03 = -2.662445791467283467968e-02 */ + .quad 0xBF9A901038EC2F39 /* A00 = -2.594018313816024226548e-02 */ + .quad 0x3FF2961356DFFEBA /* A01 = +1.161639537196534011088e+00 */ + .quad 0xBFD775EBB17198C7 /* A02 = -3.665723069046972759644e-01 */ + .quad 0xBF833B1A926CD462 /* A03 = -9.390075295963199591975e-03 */ + .quad 0xBF9F396A6A461B91 /* A00 = -3.049246095317987084727e-02 */ + .quad 0x3FF2EB53BAEF534B /* A01 = +1.182452898229899629357e+00 */ + .quad 0xBFD97DABF8AD8BBD /* A02 = -3.982953957076310058660e-01 */ + .quad 0x3F7B8F6A3E0F8837 /* A03 = +6.728568086119371925713e-03 */ + .quad 0xBFA21878590F8BAA /* A00 = -3.534294211546946951064e-02 */ + .quad 0x3FF34209790236E1 /* A01 = +1.203622315111197105253e+00 */ + .quad 0xBFDB764C0E71BECB /* A02 = -4.290952817018306997277e-01 */ + .quad 0x3F962FE0C03F84C0 /* A03 = +2.166701482190513949888e-02 */ + .quad 0xBFA4B36B9AD27ECC /* A00 = -4.043136849327097492868e-02 */ + .quad 0x3FF3990C5B12FC16 /* A01 = +1.224865298994477935679e+00 */ + .quad 0xBFDD5AABB0D01390 /* A02 = -4.586590983092770912322e-01 */ + .quad 0x3FA21DAF5CA162DB /* A03 = +3.538272863142363083844e-02 */ + .quad 0xBFA7645E4D7BF28B /* A00 = -4.568762489177399105378e-02 */ + .quad 0x3FF3EF2FD51C0D9F /* A01 = +1.245895225962932562069e+00 */ + .quad 0xBFDF26377E1B686E /* A02 = -4.867075664057044503963e-01 */ + .quad 0x3FA8803E756EE812 /* A03 = +4.785342391501513914509e-02 */ + .quad 0xBFAA210925C64413 /* A00 = -5.103329263796054643398e-02 */ + .quad 0x3FF44349F897D8E7 /* A01 = +1.266427966181760345066e+00 */ + .quad 0xBFE06A7B02C6D8E2 /* A02 = -5.129981092675530707226e-01 */ + .quad 0x3FAE3F194734F5D0 /* A03 = +5.907515520309980505687e-02 */ + .quad 0xBFACDE48F8A19BBB /* A00 = -5.638340029764018351832e-02 */ + .quad 0x3FF49439D5466582 /* A01 = +1.286187966447272845727e+00 */ + .quad 0xBFE131C7C1063DDC /* A02 = -5.373266954429101183166e-01 */ + .quad 0x3FB1ADEEC36AD805 /* A03 = +6.906025191241844940482e-02 */ + .quad 0xBFAF905D8F585680 /* A00 = -6.164829611604449866036e-02 */ + .quad 0x3FF4E0ED1FD27F99 /* A01 = +1.304913639360142818546e+00 */ + .quad 0xBFE1E7A859DC1D3D /* A02 = -5.595285182070380836095e-01 */ + .quad 0x3FB3ED018E4642A1 /* A03 = +7.783517573831001679086e-02 */ + .quad 0xBFB11595104160BA /* A00 = -6.673556944713512906198e-02 */ + .quad 0x3FF528650340490B /* A01 = +1.322361958217302513319e+00 */ + .quad 0xBFE28B14B40BC974 /* A02 = -5.794776455425521000109e-01 */ + .quad 0x3FB5DF49F5BAF6D7 /* A03 = +8.543836831355676453281e-02 */ + .quad 0xBFB2513A97344BA4 /* A00 = -7.155195418844911836587e-02 */ + .quad 0x3FF569BA0DB5EE14 /* A01 = +1.338312200124055273420e+00 */ + .quad 0xBFE31B53A8B67B20 /* A02 = -5.970857901737396389308e-01 */ + .quad 0x3FB787F297BB0544 /* A03 = +9.191814617499455275507e-02 */ + .quad 0xBFB37512E848FAFA /* A00 = -7.600515528700305112331e-02 */ + .quad 0x3FF5A41F33B403C8 /* A01 = +1.352568819013173495591e+00 */ + .quad 0xBFE397F6EA9A58A5 /* A02 = -6.123003561103997904880e-01 */ + .quad 0x3FB8EAA9FF25CA06 /* A03 = +9.733068923177520814782e-02 */ + .quad 0xBFB47B3E603AFC5D /* A00 = -8.000554894805263217439e-02 */ + .quad 0x3FF5D6E3EDE40487 /* A01 = +1.364963464031718975988e+00 */ + .quad 0xBFE400D5BCA6D631 /* A02 = -6.251019177058819709103e-01 */ + .quad 0x3FBA0B830ED567FE /* A03 = +1.017381583418739132707e-01 */ + .quad 0xBFB5BBFE8AC90496 /* A00 = -8.489981544791400103200e-02 */ + .quad 0x3FF612BA70107E95 /* A01 = +1.379572332145390989311e+00 */ + .quad 0xBFE477EAF1FA7693 /* A02 = -6.396383978023599814478e-01 */ + .quad 0x3FBB4784B7C08A95 /* A03 = +1.065600346196709652391e-01 */ + .quad 0xBFB6D5D940743939 /* A00 = -8.920057128509463473254e-02 */ + .quad 0x3FF644A8748F70CE /* A01 = +1.391762214006166953340e+00 */ + .quad 0xBFE4D646AB07EA37 /* A02 = -6.511567440459832267763e-01 */ + .quad 0x3FBC354F4E1D5292 /* A03 = +1.101884427747086558913e-01 */ + .quad 0xBFB7223D19E4F3D1 /* A00 = -9.036619074045339206069e-02 */ + .quad 0x3FF6518FEB42B7FA /* A01 = +1.394912642466350494175e+00 */ + .quad 0xBFE4ED86CB87498C /* A02 = -6.539949393430091184598e-01 */ + .quad 0x3FBC6D29F28CCA9B /* A03 = +1.110407082713131127205e-01 */ + .quad 0xBFB6878652FF6312 /* A00 = -8.800544287022329936754e-02 */ + .quad 0x3FF63948C302D040 /* A01 = +1.388985406648330922508e+00 */ + .quad 0xBFE4C4E2E7904E17 /* A02 = -6.490339777687407218920e-01 */ + .quad 0x3FBC127356CA1ABE /* A03 = +1.096565329445224612481e-01 */ + .quad 0xBFB4F5D18B0C91D6 /* A00 = -8.187589306596207427980e-02 */ + .quad 0x3FF5FD27EB7DD0B8 /* A01 = +1.374305648697413673176e+00 */ + .quad 0xBFE464E01A2B2FC6 /* A02 = -6.373138915164353601739e-01 */ + .quad 0x3FBB460547674A30 /* A03 = +1.065371798825160976065e-01 */ + .quad 0xBFB26642FA16A685 /* A00 = -7.187288861919156890412e-02 */ + .quad 0x3FF59F9BEDE1C95A /* A01 = +1.351467065073470141812e+00 */ + .quad 0xBFE3D67920C8FBEA /* A02 = -6.199308052381387046381e-01 */ + .quad 0x3FBA24F6A8D3CBC1 /* A03 = +1.021265184570401413078e-01 */ + .quad 0xBFADB5294794F097 /* A00 = -5.802277563859197656582e-02 */ + .quad 0x3FF523EA7B9CF453 /* A01 = +1.321268542159732772845e+00 */ + .quad 0xBFE322A8B55E35DB /* A02 = -5.979808370918208160205e-01 */ + .quad 0x3FB8C8673B1B3E37 /* A03 = +9.680791085269722928697e-02 */ + .quad 0xBFA4B7D661965C6A /* A00 = -4.046506825687219699450e-02 */ + .quad 0x3FF48DE3E2CE3122 /* A01 = +1.284641157110919085227e+00 */ + .quad 0xBFE251FED1A7F445 /* A02 = -5.725092024655472622285e-01 */ + .quad 0x3FB745699FCABDB9 /* A03 = +9.090290213747821701507e-02 */ + .quad 0xBF93E60456E4EE1D /* A00 = -1.943213253365004902773e-02 */ + .quad 0x3FF3E1A14E628A59 /* A01 = +1.242585474196536532432e+00 */ + .quad 0xBFE16C5AB660E876 /* A02 = -5.444768488007543094653e-01 */ + .quad 0x3FB5AD33AA8C188F /* A03 = +8.467410005332197397987e-02 */ + .quad 0x3F738C17C47C7961 /* A00 = +4.772274820224659853951e-03 */ + .quad 0x3FF3234DDE3BD146 /* A01 = +1.196119182682268355933e+00 */ + .quad 0xBFE078C0D77A9D3B /* A02 = -5.147403915952176722826e-01 */ + .quad 0x3FB40D74B3E276B8 /* A03 = +7.833032027925923568290e-02 */ + .quad 0x3FA0474BECC689C7 /* A00 = +3.179394975019849550746e-02 */ + .quad 0x3FF256FB4FA7D18A /* A01 = +1.146235762743432307076e+00 */ + .quad 0xBFDEFA8E3FB285E2 /* A02 = -4.840427038235174395098e-01 */ + .quad 0x3FB270C007493D59 /* A03 = +7.203293016322244446403e-02 */ + .quad 0x3FAF5BD51E479BDC /* A00 = +6.124750132203590768931e-02 */ + .quad 0x3FF18081D0B53BC5 /* A01 = +1.093873801484492647162e+00 */ + .quad 0xBFDCFE2439BD0C03 /* A02 = -4.530115665294831006626e-01 */ + .quad 0x3FB0DEFE5A45AFDD /* A03 = +6.590261176978580437424e-02 */ + .quad 0x3FB7BD5D2806EA26 /* A00 = +9.273321368429118805032e-02 */ + .quad 0x3FF0A369E35B4440 /* A01 = +1.039895904647224256223e+00 */ + .quad 0xBFDB04BC5C9951E7 /* A02 = -4.221640495573226181669e-01 */ + .quad 0x3FAEBBBAA9D6DEEF /* A03 = +6.002600978120919278380e-02 */ + .quad 0x3FC01BE411098DBC /* A00 = +1.258511622610124502941e-01 */ + .quad 0x3FEF85BDABC031C1 /* A01 = +9.850757936961188621083e-01 */ + .quad 0xBFD91521375097C2 /* A02 = -3.919146576102968682065e-01 */ + .quad 0x3FABE26F0086D982 /* A03 = +5.446192628317005068883e-02 */ + .quad 0x3FC481D7FF5776B9 /* A00 = +1.602125164781023347604e-01 */ + .quad 0x3FEDC3506C1E7218 /* A01 = +9.300920592973538347792e-01 */ + .quad 0xBFD7349A88DA7D4F /* A02 = -3.625856720409119104964e-01 */ + .quad 0x3FA936E2DFF8E2AE /* A03 = +4.924687370334389358018e-02 */ + .quad 0x3FC90471F96FA27A /* A00 = +1.954481571149420671141e-01 */ + .quad 0x3FEC0451601987A2 /* A01 = +8.755270840595026360376e-01 */ + .quad 0xBFD5671CD4B898DC /* A02 = -3.344184949259110251063e-01 */ + .quad 0x3FA6BB9594603B67 /* A03 = +4.439990459660841243261e-02 */ + .quad 0x3FCFD8ADB9ED944C /* A00 = +2.488000066615846384011e-01 */ + .quad 0x3FE978C073F6809A /* A01 = +7.959902062321078108909e-01 */ + .quad 0xBFD2DF7E00BCD5A9 /* A02 = -2.948908812716931060471e-01 */ + .quad 0x3FA3614033D490B2 /* A03 = +3.785133965200894456959e-02 */ + .quad 0x3FD4846A12AFE5A0 /* A00 = +3.205819303981005674586e-01 */ + .quad 0x3FE63A1147D40472 /* A01 = +6.945883181471244061100e-01 */ + .quad 0xBFCFA2268AD34450 /* A02 = -2.471359422548027318101e-01 */ + .quad 0x3F9F150201D9FFE0 /* A03 = +3.035357605267552383310e-02 */ + .quad 0x3FD9018641F82BEB /* A00 = +3.907180446846598154131e-01 */ + .quad 0x3FE33B7C220FFBDC /* A01 = +6.010113396913498995389e-01 */ + .quad 0xBFCA4E4187E29C86 /* A02 = -2.055131829740483584423e-01 */ + .quad 0x3F98C30CED19F8F4 /* A03 = +2.418155858185229434287e-02 */ + .quad 0x3FDD4B8255BEB078 /* A00 = +4.577337109901757905561e-01 */ + .quad 0x3FE0858B19D3A49B /* A01 = +5.163016800335243905451e-01 */ + .quad 0xBFC5BC929EACE564 /* A02 = -1.698172831327539045176e-01 */ + .quad 0x3F93A083CE57DE2B /* A03 = +1.916700312537337677621e-02 */ + .quad 0x3FE0A8E5E039295C /* A00 = +5.206174258576470315063e-01 */ + .quad 0x3FDC35E1234583FE /* A01 = +4.407885403107342225937e-01 */ + .quad 0xBFC1DE034E31AEB9 /* A02 = -1.395877963835710222629e-01 */ + .quad 0x3F8EFDEBB3471BDC /* A03 = +1.513275280821162888101e-02 */ + .quad 0x3FE2851B603CB2A5 /* A00 = +5.787484054213406503564e-01 */ + .quad 0x3FD7F4A44ABBB286 /* A01 = +3.743067483726821853551e-01 */ + .quad 0xBFBD3EEB67087DE7 /* A02 = -1.142413260026767657385e-01 */ + .quad 0x3F8864F38329E8BD /* A03 = +1.191129917173260922836e-02 */ + .quad 0x3FE437DBE3C34AC1 /* A00 = +6.318187187665317283702e-01 */ + .quad 0x3FD43F6F789441B5 /* A01 = +3.163717916040938438194e-01 */ + .quad 0xBFB7D92E7901B9A4 /* A02 = -9.315767721429907277653e-02 */ + .quad 0x3F8327ED342308E1 /* A03 = +9.353497651663324544136e-03 */ + .quad 0x3FE5C0977766D55C /* A00 = +6.797597248138731451661e-01 */ + .quad 0x3FD10B42A764D8F9 /* A01 = +2.663122782427219115142e-01 */ + .quad 0xBFB3633351D3D70F /* A02 = -7.573242900602060456716e-02 */ + .quad 0x3F7E079E30FF899C /* A03 = +7.331483779099558922843e-03 */ + .quad 0x3FE7202CE08A88C4 /* A00 = +7.226776490754436288455e-01 */ + .quad 0x3FCC973EB5662B01 /* A01 = +2.233656297433626314319e-01 */ + .quad 0xBFAF70A455F9920B /* A02 = -6.140626477716545211782e-02 */ + .quad 0x3F77812411CE99B6 /* A03 = +5.738392731393584730859e-03 */ + .quad 0x3FE85879424095B1 /* A00 = +7.608000082006382003286e-01 */ + .quad 0x3FC7E73BD1674D84 /* A01 = +1.867441914060742336190e-01 */ + .quad 0xBFA96F84E4BF333B /* A02 = -4.967894832916504993525e-02 */ + .quad 0x3F72606DDCA6E117 /* A03 = +4.486493251924870105662e-03 */ + .quad 0x3FE96BFE4957F4DD /* A00 = +7.944327766887472330737e-01 */ + .quad 0x3FC3ED4780D25478 /* A01 = +1.556786898624158421711e-01 */ + .quad 0xBFA489C5F9A56B58 /* A02 = -4.011362717093075458408e-02 */ + .quad 0x3F6CB5DC17E9AD2A /* A03 = +3.504686231556104931972e-03 */ + .quad 0x3FEA5D9CB2F41234 /* A00 = +8.239272589858672724006e-01 */ + .quad 0x3FC091A758374DCF /* A01 = +1.294449978582705440555e-01 */ + .quad 0xBFA08E436D4B5CE0 /* A02 = -3.233538350257858517978e-02 */ + .quad 0x3F666997AD53E6B7 /* A03 = +2.735897297154145629133e-03 */ + .quad 0x3FEB3060342CB850 /* A00 = +8.496552485501158713532e-01 */ + .quad 0x3FBB7D30BBC7DC1B /* A01 = +1.073790033768634993860e-01 */ + .quad 0xBF9AA6BA3443D9E3 /* A02 = -2.602663940430173170060e-02 */ + .quad 0x3F617CA764B7850B /* A03 = +2.134634914668814050648e-03 */ + .quad 0x3FEBE759A6A0C7B8 /* A00 = +8.719909910635044170135e-01 */ + .quad 0x3FB6C10DE6A703FF /* A01 = +8.888327485239243264115e-02 */ + .quad 0xBF956C566D8BE1F6 /* A02 = -2.092108768099084498138e-02 */ + .quad 0x3F5B46D1A4A59CF8 /* A03 = +1.664833764687232917079e-03 */ + .quad 0x3FEC858494887A04 /* A00 = +8.912985707318630268503e-01 */ + .quad 0x3FB2CC31F543394D /* A01 = +7.342827070099140762682e-02 */ + .quad 0xBF9133477FF69137 /* A02 = -1.679717749142747504343e-02 */ + .quad 0x3F5544482FBB4DA5 /* A03 = +1.298017973501022466823e-03 */ + .quad 0x3FED0DB59D0E32E9 /* A00 = +9.079235141267335551518e-01 */ + .quad 0x3FAF006BAFFC6EF4 /* A01 = +6.055008433597022787787e-02 */ + .quad 0xBF8B97146FA2B97A /* A02 = -1.347175565419144252499e-02 */ + .quad 0x3F5093B01F4CDC69 /* A03 = +1.011774057770665211434e-03 */ + .quad 0x3FEDB487C3EC457C /* A00 = +9.282873942012623835751e-01 */ + .quad 0x3FA7390C09D0BD1D /* A01 = +4.535710925881118044112e-02 */ + .quad 0xBF83D9F7C3181106 /* A02 = -9.693084374710735778846e-03 */ + .quad 0x3F46E34A0A3C0E64 /* A03 = +6.984817050299072134500e-04 */ + .quad 0x3FEE5FFCB4E6EB00 /* A00 = +9.492171796076434020506e-01 */ + .quad 0x3F9F4913ED00AADF /* A01 = +3.055220731782070861526e-02 */ + .quad 0xBF79670BD0E59B5C /* A02 = -6.201788097633133961528e-03 */ + .quad 0x3F3BC998EBCAF96D /* A03 = +4.240034429975534616304e-04 */ + .quad 0x3FEEDBA41E9542FE /* A00 = +9.643116566968215064293e-01 */ + .quad 0x3F94F5DD18D9C24D /* A01 = +2.046914543319848858727e-02 */ + .quad 0xBF7034896AA122B9 /* A02 = -3.956352980886528904192e-03 */ + .quad 0x3F30DCCB47810B39 /* A03 = +2.573009765038273091199e-04 */ + .quad 0x3FEF33F2882520ED /* A00 = +9.750912341196716903724e-01 */ + .quad 0x3F8BF37F2CF553FF /* A01 = +1.364802699996836392315e-02 */ + .quad 0xBF649F6F05A69619 /* A02 = -2.517430152880317534986e-03 */ + .quad 0x3F247623C950AAC9 /* A03 = +1.561087307505231250044e-04 */ + .quad 0x3FEF727757751741 /* A00 = +9.827229221489021115943e-01 */ + .quad 0x3F828E67912C4400 /* A01 = +9.060677640748693306705e-03 */ + .quad 0xBF5A2F51A806CC2C /* A02 = -1.598195784123355826789e-03 */ + .quad 0x3F18D35D7687E613 /* A03 = +9.470231965016282719549e-05 */ + .quad 0x3FEF9E6325C5942A /* A00 = +9.880843866091073568469e-01 */ + .quad 0x3F788AB117618F76 /* A01 = +5.991641772286606867914e-03 */ + .quad 0xBF5096EAB0B1EA89 /* A02 = -1.012543859160305046233e-03 */ + .quad 0x3F0E1E50EC4435AB /* A03 = +5.744633156910412119652e-05 */ + .quad 0x3FEFBD0784049369 /* A00 = +9.918248728250605994461e-01 */ + .quad 0x3F702BBD8294035F /* A01 = +3.947963975634432264028e-03 */ + .quad 0xBF44FB55E0F00593 /* A02 = -6.403130845457509273330e-04 */ + .quad 0x3F0244DCD723230A /* A03 = +3.484534217219031730379e-05 */ + .quad 0x3FEFD245E2366A43 /* A00 = +9.944180887426415926811e-01 */ + .quad 0x3F653D82EC088433 /* A01 = +2.592807490387838333795e-03 */ + .quad 0xBF3A7DF75E013CB8 /* A02 = -4.042366908878036561859e-04 */ + .quad 0x3EF6298E69F991CD /* A03 = +2.113564425911141559972e-05 */ + .quad 0x3FEFE0EAA508BC69 /* A00 = +9.962056372950317539861e-01 */ + .quad 0x3F5BD0771AF3FDDA /* A01 = +1.697651208644282514598e-03 */ + .quad 0xBF30B2E1254DE571 /* A02 = -2.548026725928887099328e-04 */ + .quad 0x3EEAE28B70EC0256 /* A03 = +1.281973848454955042307e-05 */ + .quad 0x3FEFEAF5303D7F96 /* A00 = +9.974313680831865536192e-01 */ + .quad 0x3F5229111365657E /* A01 = +1.108423877289460134782e-03 */ + .quad 0xBF250572D04DFE66 /* A02 = -1.603796628408704519168e-04 */ + .quad 0x3EE04E89BB57C981 /* A03 = +7.775682983689149966743e-06 */ + .quad 0x3FEFF1CF52F1CF44 /* A00 = +9.982678051005469122003e-01 */ + .quad 0x3F47A71316147CEB /* A01 = +7.218211359577819110842e-04 */ + .quad 0xBF1A6D7604055719 /* A02 = -1.008132248946049582547e-04 */ + .quad 0x3ED3C8047586A85C /* A03 = +4.716233739913014633626e-06 */ + .quad 0x3FEFF6770369EF69 /* A00 = +9.988360468555416149528e-01 */ + .quad 0x3F3EBB261180FBF0 /* A01 = +4.689186039321105101130e-04 */ + .quad 0xBF1097754FE19D7F /* A02 = -6.329206004950480057066e-05 */ + .quad 0x3EC7FEFF83BCA0A7 /* A03 = +2.860556404988488738366e-06 */ + .quad 0x3FEFF99D42371AC4 /* A00 = +9.992204945818561334647e-01 */ + .quad 0x3F33EB2AEC271F59 /* A01 = +3.039340773764907474054e-04 */ + .quad 0xBF04CF18E0FC0D79 /* A02 = -3.968996690952969588805e-05 */ + .quad 0x3EBD1BDBD6019BE9 /* A03 = +1.735021065507727833886e-06 */ + .quad 0x3FEFFBBCA32B0D91 /* A00 = +9.994795977476532700123e-01 */ + .quad 0x3F29C41E1615110A /* A01 = +1.965796209707565346710e-04 */ + .quad 0xBEFA11F93D9DCB5A /* A02 = -2.486248909101414873235e-05 */ + .quad 0x3EB1A7CA4546F7A7 /* A03 = +1.052345642723709228769e-06 */ + .quad 0x3FEFFD298B8E8DE2 /* A00 = +9.996535993308806045121e-01 */ + .quad 0x3F20A1C42D523C5B /* A01 = +1.268913244172078754520e-04 */ + .quad 0xBEF0507A364AFAE4 /* A02 = -1.555859070622834605755e-05 */ + .quad 0x3EA56ACA17E7CDF4 /* A03 = +6.382806956848098872313e-07 */ + .quad 0x3FEFFE1DC82BA5A3 /* A00 = +9.997700604991915929176e-01 */ + .quad 0x3F156E73B90F1769 /* A01 = +8.175450626798714452801e-05 */ + .quad 0xBEE4663579D0A09F /* A02 = -9.727122057226747625365e-06 */ + .quad 0x3E99FAF6FEC5D4C1 /* A03 = +3.871371052824002996020e-07 */ + .quad 0x3FEFFEF8D0BB5E81 /* A00 = +9.998745037837154514548e-01 */ + .quad 0x3F06686DA18D39C3 /* A01 = +4.273972098777251447726e-05 */ + .quad 0xBED46BC298073E90 /* A02 = -4.868731025855742842491e-06 */ + .quad 0x3E88E42286B9D0FD /* A03 = +1.854535328530838170114e-07 */ + .quad 0x3FEFFF8DBC68DDC7 /* A00 = +9.999455146670975791423e-01 */ + .quad 0x3EF26B2953A80AF0 /* A01 = +1.756534514108903368909e-05 */ + .quad 0xBEBFC4472D580F83 /* A02 = -1.893443529411295465239e-06 */ + .quad 0x3E72505B4553D19F /* A03 = +6.822456673547912277047e-08 */ + .quad 0x3FEFFFCED1276609 /* A00 = +9.999765477215883935358e-01 */ + .quad 0x3EDE1A94C7CC58F5 /* A01 = +7.177313020153979672606e-06 */ + .quad 0xBEA8A2C988744E57 /* A02 = -7.342066660497443762363e-07 */ + .quad 0x3E5AF30036BBBAF4 /* A03 = +2.509841882843541084885e-08 */ + .quad 0x3FEFFFEAFE70FCFC /* A00 = +9.999899835164849370983e-01 */ + .quad 0x3EC879175E3549F5 /* A01 = +2.917410471128503564412e-06 */ + .quad 0xBE930E36677D1813 /* A02 = -2.839493400307523115929e-07 */ + .quad 0x3E43D4005B42D48F /* A03 = +9.233192745401904898013e-09 */ + .quad 0x3ff0000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .align 16 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ + .align 16 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ + .align 16 + .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ + .align 16 + .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ + .align 16 + .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ + .align 16 + .long 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ + .align 16 + .type __svml_stanh_data_internal,@object + .size __svml_stanh_data_internal,.-__svml_stanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core-sse.S new file mode 100644 index 0000000000..a56795e3cd --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core-sse.S @@ -0,0 +1,20 @@ +/* SSE version of vectorized tanhf, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define _ZGVdN8v_tanhf _ZGVdN8v_tanhf_sse_wrapper +#include "../svml_s_tanhf8_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core.c new file mode 100644 index 0000000000..fadcea36ab --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core.c @@ -0,0 +1,28 @@ +/* Multiple versions of vectorized tanhf, vector length is 8. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#define SYMBOL_NAME _ZGVdN8v_tanhf +#include "ifunc-mathvec-avx2.h" + +libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ()); + +#ifdef SHARED +__hidden_ver1 (_ZGVdN8v_tanhf, __GI__ZGVdN8v_tanhf, + __redirect__ZGVdN8v_tanhf) + __attribute__ ((visibility ("hidden"))); +#endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S new file mode 100644 index 0000000000..c19e6bf8b5 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S @@ -0,0 +1,844 @@ +/* Function tanhf vectorized with AVX2. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * NOTE: Since the hyperbolic tangent function is odd + * (tanh(x) = -tanh(-x)), below algorithm deals with the absolute + * value of the argument |x|: tanh(x) = sign(x) * tanh(|x|) + * + * We use a table lookup method to compute tanh(|x|). + * The basic idea is to split the input range into a number of subintervals + * and to approximate tanh(.) with a polynomial on each of them. + * + * IEEE SPECIAL CONDITIONS: + * x = [+,-]0, r = [+,-]0 + * x = +Inf, r = +1 + * x = -Inf, r = -1 + * x = QNaN, r = QNaN + * x = SNaN, r = QNaN + * + * + * ALGORITHM DETAILS + * We handle special values in a callout function, aside from main path + * computations. "Special" for this algorithm are: + * INF, NAN, |x| > HUGE_THRESHOLD + * + * + * Main path computations are organized as follows: + * Actually we split the interval [0, SATURATION_THRESHOLD) + * into a number of subintervals. On each subinterval we approximate tanh(.) + * with a minimax polynomial of pre-defined degree. Polynomial coefficients + * are computed beforehand and stored in table. We also use + * + * y := |x| + B, + * + * here B depends on subinterval and is used to make argument + * closer to zero. + * We also add large fake interval [SATURATION_THRESHOLD, HUGE_THRESHOLD], + * where 1.0 + 0.0*y + 0.0*y^2 ... coefficients are stored - just to + * preserve main path computation logic but return 1.0 for all arguments. + * + * Hence reconstruction looks as follows: + * we extract proper polynomial and range reduction coefficients + * (Pj and B), corresponding to subinterval, to which |x| belongs, + * and return + * + * r := sign(x) * (P0 + P1 * y + ... + Pn * y^n) + * + * NOTE: we use multiprecision technique to multiply and sum the first + * K terms of the polynomial. So Pj, j = 0..K are stored in + * table each as a pair of target precision numbers (Pj and PLj) to + * achieve wider than target precision. + * + * + */ + +/* Offsets for data table __svml_stanh_data_internal + */ +#define _dbP 0 +#define _sSignMask 4288 +#define _sAbsMask 4320 +#define _iExpMantMask 4352 +#define _iExpMask 4384 +#define _iMinIdxOfsMask 4416 +#define _iMaxIdxMask 4448 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8v_tanhf_avx2) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + pushq %r12 + subq $120, %rsp + lea _dbP+16+__svml_stanh_data_internal(%rip), %r10 + vmovaps %ymm0, %ymm12 + +/* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpand _iExpMantMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm14 + +/* + * small table specific variables * + * Constant loading + */ + vmovups _iMaxIdxMask+__svml_stanh_data_internal(%rip), %ymm8 + vpsubd _iMinIdxOfsMask+__svml_stanh_data_internal(%rip), %ymm14, %ymm9 + +/* if VMIN, VMAX is defined for I type */ + vxorps %ymm15, %ymm15, %ymm15 + vpcmpgtd %ymm15, %ymm9, %ymm0 + vpand %ymm0, %ymm9, %ymm7 + vpcmpgtd %ymm8, %ymm9, %ymm6 + vblendvps %ymm6, %ymm8, %ymm7, %ymm3 + vpsrld $14, %ymm3, %ymm1 + vpcmpgtd _iExpMask+__svml_stanh_data_internal(%rip), %ymm14, %ymm13 + vmovmskps %ymm13, %r11d + vandps _sAbsMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm10 + vandps _sSignMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm11 + vextractf128 $1, %ymm1, %xmm2 + vmovd %xmm1, %r9d + vmovd %xmm2, %ecx + vpextrd $1, %xmm2, %edx + vpextrd $1, %xmm1, %r8d + movslq %r9d, %r9 + movslq %edx, %rdx + movslq %r8d, %r8 + vpextrd $2, %xmm1, %edi + movslq %ecx, %rcx + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -8; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22 + vpextrd $3, %xmm2, %r12d + vpextrd $3, %xmm1, %esi + vpextrd $2, %xmm2, %eax + movslq %edi, %rdi + movslq %r12d, %r12 + movslq %esi, %rsi + movslq %eax, %rax + vmovupd -16(%r9,%r10), %xmm5 + vmovupd -16(%rdx,%r10), %xmm14 + vmovupd -16(%rcx,%r10), %xmm13 + vmovupd (%r9,%r10), %xmm1 + vmovupd (%r8,%r10), %xmm2 + vmovupd -16(%r8,%r10), %xmm4 + vinsertf128 $1, -16(%rdi,%r10), %ymm5, %ymm15 + vinsertf128 $1, -16(%r12,%r10), %ymm14, %ymm3 + vinsertf128 $1, -16(%rax,%r10), %ymm13, %ymm6 + vinsertf128 $1, (%rdi,%r10), %ymm1, %ymm5 + vinsertf128 $1, (%rsi,%r10), %ymm2, %ymm14 + vunpcklpd %ymm3, %ymm6, %ymm8 + vunpckhpd %ymm3, %ymm6, %ymm6 + vunpcklpd %ymm14, %ymm5, %ymm3 + vunpckhpd %ymm14, %ymm5, %ymm2 + vmovupd (%rcx,%r10), %xmm13 + vcvtps2pd %xmm10, %ymm5 + vextractf128 $1, %ymm10, %xmm10 + vfmadd213pd %ymm3, %ymm5, %ymm2 + vinsertf128 $1, -16(%rsi,%r10), %ymm4, %ymm0 + vmovupd (%rdx,%r10), %xmm4 + vunpcklpd %ymm0, %ymm15, %ymm9 + vunpckhpd %ymm0, %ymm15, %ymm7 + vfmadd213pd %ymm7, %ymm5, %ymm2 + vfmadd213pd %ymm9, %ymm5, %ymm2 + vinsertf128 $1, (%r12,%r10), %ymm4, %ymm0 + vcvtps2pd %xmm10, %ymm4 + vinsertf128 $1, (%rax,%r10), %ymm13, %ymm15 + vunpcklpd %ymm0, %ymm15, %ymm1 + vunpckhpd %ymm0, %ymm15, %ymm0 + vfmadd213pd %ymm1, %ymm4, %ymm0 + vcvtpd2ps %ymm2, %xmm1 + vfmadd213pd %ymm6, %ymm4, %ymm0 + vfmadd213pd %ymm8, %ymm4, %ymm0 + vcvtpd2ps %ymm0, %xmm0 + vinsertf128 $1, %xmm0, %ymm1, %ymm2 + vorps %ymm11, %ymm2, %ymm0 + testl %r11d, %r11d + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r13 r14 r15 r11d ymm0 ymm12 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + addq $120, %rsp + cfi_restore(12) + popq %r12 + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -8; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22 + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %ymm12, 32(%rsp) + vmovups %ymm0, 64(%rsp) + # LOE rbx r13 r14 r15 r11d ymm0 + + xorl %r12d, %r12d + # LOE rbx r13 r14 r15 r11d r12d + + vzeroupper + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -120; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xff, 0xff, 0xff, 0x22 + movl %r11d, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -128; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $8, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 64(%rsp), %ymm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -120; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -128; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r13 r14 r15 ymm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + call tanhf@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movss %xmm0, 64(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVdN8v_tanhf_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_stanh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct +{ + __declspec(align(32)) VUINT32 _dbP[(134*4)][2]; + __declspec(align(32)) VUINT32 _sSignMask[8][1]; + __declspec(align(32)) VUINT32 _sAbsMask[8][1]; + __declspec(align(32)) VUINT32 _iExpMantMask[8][1]; + __declspec(align(32)) VUINT32 _iExpMask[8][1]; + __declspec(align(32)) VUINT32 _iMinIdxOfsMask[8][1]; + __declspec(align(32)) VUINT32 _iMaxIdxMask[8][1]; +} __svml_stanh_data_internal; +#endif +__svml_stanh_data_internal: + /* Pol_000: err=7.93e-09, x in [0.0000000; 0.0312500]. */ + .quad 0x0000000000000000 /* A00 = +0.000000000000000000000e-01 */ + .quad 0x3FF00000022C70EB /* A01 = +1.000000008097283510367e+00 */ + .quad 0xBED00E878CFFA194 /* A02 = -3.828228912518614443549e-06 */ + .quad 0xBFD551766D0607A9 /* A03 = -3.330970825846813476723e-01 */ + .quad 0xBE53D60CE3E4C297 /* A00 = -1.847383956330407336230e-08 */ + .quad 0x3FF000024177CF5C /* A01 = +1.000002151235967140508e+00 */ + .quad 0xBF1758BC94A51A25 /* A02 = -8.906031613262943753568e-05 */ + .quad 0xBFD53EAE67E0D4F0 /* A03 = -3.319507612644221339337e-01 */ + .quad 0xBE5A9E47EF32D6FE /* A00 = -2.479020984039698285657e-08 */ + .quad 0x3FF00002DA983057 /* A01 = +1.000002721676556793895e+00 */ + .quad 0xBF1BD953509E94AA /* A02 = -1.062352277175377670507e-04 */ + .quad 0xBFD53BDB562EEDD5 /* A03 = -3.317783681520414806876e-01 */ + .quad 0xBE6191BBE496D294 /* A00 = -3.272532162914017685901e-08 */ + .quad 0x3FF0000390492017 /* A01 = +1.000003398528866105366e+00 */ + .quad 0xBF20727E814A57CE /* A02 = -1.254825043772153972919e-04 */ + .quad 0xBFD538DE060A6F22 /* A03 = -3.315959033004550748913e-01 */ + .quad 0xBE66DAFA2A893A25 /* A00 = -4.257146219278012568149e-08 */ + .quad 0x3FF0000465E08CD1 /* A01 = +1.000004194219219266770e+00 */ + .quad 0xBF2341C765EF91B6 /* A02 = -1.469188600530365522261e-04 */ + .quad 0xBFD535B6841FAF9E /* A03 = -3.314033785124993469751e-01 */ + .quad 0xBE6D5794E361E964 /* A00 = -5.465394929765249413434e-08 */ + .quad 0x3FF000055EE2A0CB /* A01 = +1.000005121846742950353e+00 */ + .quad 0xBF265E6C77E66C8B /* A02 = -1.706607253709506650304e-04 */ + .quad 0xBFD53264DDCCEDA6 /* A03 = -3.312008062382240103361e-01 */ + .quad 0xBE729C844D374A6E /* A00 = -6.933284462462096107184e-08 */ + .quad 0x3FF000067F019093 /* A01 = +1.000006195180536350264e+00 */ + .quad 0xBF29CC5348D6DCE5 /* A02 = -1.968242326435338705130e-04 */ + .quad 0xBFD52EE92121ED35 /* A03 = -3.309881995734998416658e-01 */ + .quad 0xBE775AEA17EAA872 /* A00 = -8.700465590574974405858e-08 */ + .quad 0x3FF00007CA1D66B8 /* A01 = +1.000007428656699559610e+00 */ + .quad 0xBF2D8F5EB98A2637 /* A02 = -2.255252009216044881395e-04 */ + .quad 0xBFD52B435CDF9128 /* A03 = -3.307655722585587376727e-01 */ + .quad 0xBE7D04DA28C343F0 /* A00 = -1.081040272327705484794e-07 */ + .quad 0x3FF000094443CCF5 /* A01 = +1.000008837375216730337e+00 */ + .quad 0xBF30D5B76C947AE5 /* A02 = -2.568791210978817814332e-04 */ + .quad 0xBFD52773A0776FAD /* A03 = -3.305329386764651045105e-01 */ + .quad 0xBE81DD77A12C51C7 /* A00 = -1.331054169875768625701e-07 */ + .quad 0x3FF0000AF1AFD2DA /* A01 = +1.000010437096696680470e+00 */ + .quad 0xBF331230624C1680 /* A02 = -2.910011410651516805537e-04 */ + .quad 0xBFD52379FC0B61DF /* A03 = -3.302903138515186909352e-01 */ + .quad 0xBE85D04EEEB3C435 /* A00 = -1.625247628488202841012e-07 */ + .quad 0x3FF0000CD6C9B1F2 /* A01 = +1.000012244238970726684e+00 */ + .quad 0xBF357F0742FADDD4 /* A02 = -3.280060509313874068243e-04 */ + .quad 0xBFD51F56806D0E81 /* A03 = -3.300377134475880880338e-01 */ + .quad 0xBE8A6E289B59681B /* A00 = -1.969211333326924655065e-07 */ + .quad 0x3FF0000EF8268F72 /* A01 = +1.000014275873550406715e+00 */ + .quad 0xBF381E277A1B747A /* A02 = -3.680082682942575423093e-04 */ + .quad 0xBFD51B093F1D6FD4 /* A03 = -3.297751537663746734808e-01 */ + .quad 0xBE8FCBC40EE9ABD5 /* A00 = -2.368983653301529373887e-07 */ + .quad 0x3FF000115A883B6C /* A01 = +1.000016549721943981410e+00 */ + .quad 0xBF3AF17AC974B3D9 /* A02 = -4.111218235774406434303e-04 */ + .quad 0xBFD516924A4C549C /* A03 = -3.295026517456081105450e-01 */ + .quad 0xBE92FFBC60A3F956 /* A00 = -2.831066871072026054144e-07 */ + .quad 0x3FF0001402DCED8A /* A01 = +1.000019084151832604590e+00 */ + .quad 0xBF3DFAE9390C4801 /* A02 = -4.574603454311488280083e-04 */ + .quad 0xBFD511F1B4D7DC3A /* A03 = -3.292202249571719585575e-01 */ + .quad 0xBE9690A22F96D5AD /* A00 = -3.362443262393081632612e-07 */ + .quad 0x3FF00016F63EFF5D /* A01 = +1.000021898173108825247e+00 */ + .quad 0xBF409E2C839605BB /* A02 = -5.071370461992499986334e-04 */ + .quad 0xBFD50D27924BEE00 /* A03 = -3.289278916051614487515e-01 */ + .quad 0xBE9AA56C65E72A73 /* A00 = -3.970591019557469835586e-07 */ + .quad 0x3FF0001A39F4A43E /* A01 = +1.000025011433776978009e+00 */ + .quad 0xBF425BD74C3D6667 /* A02 = -5.602647074553602319844e-04 */ + .quad 0xBFD50833F6E1ABA2 /* A03 = -3.286256705238718156536e-01 */ + .quad 0xBE9F4BD4FF1A83B0 /* A00 = -4.663500013744687071912e-07 */ + .quad 0x3FF0001DD36F9EC2 /* A01 = +1.000028444215715683896e+00 */ + .quad 0xBF44376634149405 /* A02 = -6.169556656102642569831e-04 */ + .quad 0xBFD50316F77EDEE5 /* A03 = -3.283135811757190158922e-01 */ + .quad 0xBEA3B625387BB079 /* A00 = -5.874486399249461304297e-07 */ + .quad 0x3FF00023E14CFBA9 /* A01 = +1.000034217911642153709e+00 */ + .quad 0xBF47392F923218D2 /* A02 = -7.087213783883111826306e-04 */ + .quad 0xBFD4FB1FACDEB938 /* A03 = -3.278273761924483942209e-01 */ + .quad 0xBEAA6E24F543500A /* A00 = -7.876828740601738750574e-07 */ + .quad 0x3FF0002D5C6E8412 /* A01 = +1.000043259679163742959e+00 */ + .quad 0xBF4BAF02BD7FDD70 /* A02 = -8.448375110664940040861e-04 */ + .quad 0xBFD4EFEE6527A7DE /* A03 = -3.271442401734229177279e-01 */ + .quad 0xBEB16E3EBE2157D0 /* A00 = -1.038947396133402500647e-06 */ + .quad 0x3FF00038990FEE2F /* A01 = +1.000053975962952312884e+00 */ + .quad 0xBF50569481C574CB /* A02 = -9.972048056490652716971e-04 */ + .quad 0xBFD4E419278DA2B4 /* A03 = -3.264220129263251113372e-01 */ + .quad 0xBEB6A7B6723165D4 /* A00 = -1.350350836279403750524e-06 */ + .quad 0x3FF00045CAB4158E /* A01 = +1.000066558657042303793e+00 */ + .quad 0xBF531D7C9C849108 /* A02 = -1.166698160951775212202e-03 */ + .quad 0xBFD4D7A0BB33B152 /* A03 = -3.256608799117844954552e-01 */ + .quad 0xBEBD0EE2A8654AFD /* A00 = -1.732000471561702711532e-06 */ + .quad 0x3FF00055276F18D6 /* A01 = +1.000081209219890521211e+00 */ + .quad 0xBF562FDBA3FB6C6C /* A02 = -1.354183666925102939860e-03 */ + .quad 0xBFD4CA85F1B93DB2 /* A03 = -3.248610363561638125773e-01 */ + .quad 0xBEC269D4036A207E /* A00 = -2.195047297096822741730e-06 */ + .quad 0x3FF00066E7DA6E4E /* A01 = +1.000098138500919997540e+00 */ + .quad 0xBF5991499FC36B3A /* A02 = -1.560518167983372759405e-03 */ + .quad 0xBFD4BCC9A72283D6 /* A03 = -3.240226871658341556426e-01 */ + .quad 0xBEC7154B6C09CFE1 /* A00 = -2.751729738565190291276e-06 */ + .quad 0x3FF0007B47086B80 /* A01 = +1.000117566559055148900e+00 */ + .quad 0xBF5D455433B4F8F4 /* A02 = -1.786548832412968197680e-03 */ + .quad 0xBFD4AE6CC1BFE145 /* A03 = -3.231460468373550942722e-01 */ + .quad 0xBECCA68CC64A0F8A /* A00 = -3.415415948561670285790e-06 */ + .quad 0x3FF00092827742F7 /* A01 = +1.000139722473418535387e+00 */ + .quad 0xBF60A7BF15A527AF /* A02 = -2.033112728132522705610e-03 */ + .quad 0xBFD49F703214084C /* A03 = -3.222313393636155876010e-01 */ + .quad 0xBED19E68676B241B /* A00 = -4.200644630977303616698e-06 */ + .quad 0x3FF000ACDA037B26 /* A01 = +1.000164844146362863597e+00 */ + .quad 0xBF62D99F836A02F8 /* A02 = -2.301036405072284102280e-03 */ + .quad 0xBFD48FD4F2B91B28 /* A03 = -3.212787981359945810311e-01 */ + .quad 0xBED57CF4B0C7AA54 /* A00 = -5.123164339408145209103e-06 */ + .quad 0x3FF000CA8FD9E1A1 /* A01 = +1.000193178099017865534e+00 */ + .quad 0xBF653A014548E686 /* A02 = -2.591135484433962181405e-03 */ + .quad 0xBFD47F9C0844B38F /* A03 = -3.202886658426046806447e-01 */ + .quad 0xBEDA012B1B1A41E2 /* A00 = -6.199971197454598722328e-06 */ + .quad 0x3FF000EBE868FDF4 /* A01 = +1.000224979259539459520e+00 */ + .quad 0xBF67CA9427E0A544 /* A02 = -2.904214255086275467410e-03 */ + .quad 0xBFD46EC6812ADB37 /* A03 = -3.192611943626845749655e-01 */ + .quad 0xBEDF3EAC5BF12194 /* A00 = -7.449344990702664567927e-06 */ + .quad 0x3FF001112A520784 /* A01 = +1.000260510744255704196e+00 */ + .quad 0xBF6A8D01ABDA4DC4 /* A02 = -3.241065277345108255891e-03 */ + .quad 0xBFD45D55759FFA4A /* A03 = -3.181966446572103146551e-01 */ + .quad 0xBEE2A541BC274267 /* A00 = -8.890883582164319970972e-06 */ + .quad 0x3FF0013A9E5961F2 /* A01 = +1.000300043631906721231e+00 */ + .quad 0xBF6D82ECD080C540 /* A02 = -3.602468994380686462264e-03 */ + .quad 0xBFD44B4A0779C0AD /* A03 = -3.170952866557950611259e-01 */ + .quad 0xBEE61D97609A27F4 /* A00 = -1.054553560499505625520e-05 */ + .quad 0x3FF001688F56A3AF /* A01 = +1.000343856731187974773e+00 */ + .quad 0xBF7056F8EFB683EC /* A02 = -3.989193351487490407647e-03 */ + .quad 0xBFD438A5620F0F74 /* A03 = -3.159573991399533543500e-01 */ + .quad 0xBEEA145429EDD370 /* A00 = -1.243563138839952927732e-05 */ + .quad 0x3FF0019B4A242A67 /* A01 = +1.000392236341804297339e+00 */ + .quad 0xBF7207D31CA78D9B /* A02 = -4.401993423445739288258e-03 */ + .quad 0xBFD42568BA16E7CD /* A03 = -3.147832696228050619602e-01 */ + .quad 0xBEEE96370D52680F /* A00 = -1.458491207477835326165e-05 */ + .quad 0x3FF001D31D8E4115 /* A01 = +1.000445476009251821736e+00 */ + .quad 0xBF73D4CC11EDC094 /* A02 = -4.841611050196221316400e-03 */ + .quad 0xBFD411954D8664E7 /* A03 = -3.135731942252974469021e-01 */ + .quad 0xBEF338C046215EF8 /* A00 = -1.833122622260562810219e-05 */ + .quad 0x3FF00230C32C2EC1 /* A01 = +1.000534784691737621998e+00 */ + .quad 0xBF76BD019BCC5DAF /* A02 = -5.551344188254799492943e-03 */ + .quad 0xBFD3F2C7156DC21E /* A03 = -3.116929730668135389848e-01 */ + .quad 0xBEF9B15EAE411EAE /* A00 = -2.450261207822986676092e-05 */ + .quad 0x3FF002C2DF057A4D /* A01 = +1.000674124886830940184e+00 */ + .quad 0xBF7B08CCD9AC1E30 /* A02 = -6.600189396301511801646e-03 */ + .quad 0xBFD3C7A7A114FED8 /* A03 = -3.090609620157755976777e-01 */ + .quad 0xBF00E36483C373B3 /* A00 = -3.221178528332122595812e-05 */ + .quad 0x3FF0036F419480D7 /* A01 = +1.000838524028997644777e+00 */ + .quad 0xBF7FD255D1777007 /* A02 = -7.768950679260206403087e-03 */ + .quad 0xBFD39A453911D6CE /* A03 = -3.062909180947429588215e-01 */ + .quad 0xBF05DFA04DD12059 /* A00 = -4.172046622180685472624e-05 */ + .quad 0x3FF00438B2A03D8D /* A01 = +1.001030633695197069599e+00 */ + .quad 0xBF828F8DBB4A9D10 /* A02 = -9.062869337255224921890e-03 */ + .quad 0xBFD36AAB704697D9 /* A03 = -3.033856007044711255993e-01 */ + .quad 0xBF0BF3E0C647DEFB /* A00 = -5.331544597092331081714e-05 */ + .quad 0x3FF005221063D36D /* A01 = +1.001253189109060359741e+00 */ + .quad 0xBF857A2CB3C96102 /* A02 = -1.048693584122917590862e-02 */ + .quad 0xBFD338E65BBB4FEC /* A03 = -3.003478904549854444639e-01 */ + .quad 0xBF11A506ED7C9D31 /* A00 = -6.730894835681591541979e-05 */ + .quad 0x3FF0062E4D0EA92A /* A01 = +1.001508999829250345925e+00 */ + .quad 0xBF88AB82C2761AF3 /* A02 = -1.204588085125866091241e-02 */ + .quad 0xBFD305028D6BD206 /* A03 = -2.971807843271395688234e-01 */ + .quad 0xBF1607C0922D9BF1 /* A00 = -8.403885708006799337092e-05 */ + .quad 0x3FF007606C341961 /* A01 = +1.001800940198869449560e+00 */ + .quad 0xBF8C25E6DA487BCF /* A02 = -1.374416688582682892494e-02 */ + .quad 0xBFD2CF0D0EE8F7B5 /* A03 = -2.938873906713255768075e-01 */ + .quad 0xBF1B3A8480A0A16D /* A00 = -1.038688061788578038307e-04 */ + .quad 0x3FF008BB802D02D6 /* A01 = +1.002131939589323561535e+00 */ + .quad 0xBF8FEB8AE99FD100 /* A02 = -1.558598065819483124983e-02 */ + .quad 0xBFD297135BD0911B /* A03 = -2.904709240558688843059e-01 */ + .quad 0xBF20ABB9BDB75C65 /* A00 = -1.271881327357976163798e-04 */ + .quad 0x3FF00A42A76D8CD1 /* A01 = +1.002504972472525901495e+00 */ + .quad 0xBF91FF3D752BB9E6 /* A02 = -1.757522609380570560722e-02 */ + .quad 0xBFD25D235C1F88B4 /* A03 = -2.869346999779154305799e-01 */ + .quad 0xBF243D3254425461 /* A00 = -1.544116913733432829448e-04 */ + .quad 0x3FF00BF909D1795E /* A01 = +1.002923048355647051011e+00 */ + .quad 0xBF94304E04D44942 /* A02 = -1.971551804042204897316e-02 */ + .quad 0xBFD2214B5E61CFA6 /* A03 = -2.832821294498394371075e-01 */ + .quad 0xBF286070011B61CE /* A00 = -1.859795307186510085994e-04 */ + .quad 0x3FF00DE1D5E1627E /* A01 = +1.003389201612804537689e+00 */ + .quad 0xBF9689D5F4163F59 /* A02 = -2.201017668045266231780e-02 */ + .quad 0xBFD1E39A11C3B42C /* A03 = -2.795167134743816728104e-01 */ + .quad 0xBF2D250B366A79E8 /* A00 = -2.223564326486314902259e-04 */ + .quad 0x3FF010003E134001 /* A01 = +1.003906481248123094829e+00 */ + .quad 0xBF990C9FF91F6F81 /* A02 = -2.446222265267250853271e-02 */ + .quad 0xBFD1A41E80084CDC /* A03 = -2.756420374218586655246e-01 */ + .quad 0xBF314DB5DDC2A30E /* A00 = -2.640313157465248123865e-04 */ + .quad 0x3FF012577608921B /* A01 = +1.004477940624503018441e+00 */ + .quad 0xBF9BB9626875B0C9 /* A02 = -2.707437288829409385849e-02 */ + .quad 0xBFD162E80768A9D0 /* A03 = -2.716617653228725615122e-01 */ + .quad 0xBF346A6133808864 /* A00 = -3.115165050094957730625e-04 */ + .quad 0x3FF014EAAFCC88A3 /* A01 = +1.005106627192198898157e+00 */ + .quad 0xBF9E90BEF9BF7419 /* A02 = -2.984903716411588595059e-02 */ + .quad 0xBFD12006545F7FAD /* A03 = -2.675796340899932457269e-01 */ + .quad 0xBF37F180DC3848EA /* A00 = -3.653468704395550778821e-04 */ + .quad 0x3FF017BD19147861 /* A01 = +1.005795572250939295955e+00 */ + .quad 0xBFA0C9A14C702E07 /* A02 = -3.278831537326359207851e-02 */ + .quad 0xBFD0DB895B650092 /* A03 = -2.633994476818851682154e-01 */ + .quad 0xBF3BEC6AAC6D7635 /* A00 = -4.260788377246944457107e-04 */ + .quad 0x3FF01AD1D884E719 /* A01 = +1.006547780778822565040e+00 */ + .quad 0xBFA260B2A1B1434A /* A02 = -3.589399551186163439542e-02 */ + .quad 0xBFD09581529E93D6 /* A03 = -2.591250712233067465817e-01 */ + .quad 0xBF4164E26167882B /* A00 = -5.308251737086202562063e-04 */ + .quad 0x3FF01FEF14B62B81 /* A01 = +1.007796364693348545316e+00 */ + .quad 0xBFA4EB014538AA42 /* A02 = -4.085544557559163403315e-02 */ + .quad 0xBFD029D36FEAF41F /* A03 = -2.525528519580024222613e-01 */ + .quad 0xBF46F6FFF4E53DC8 /* A00 = -7.008313930700277652464e-04 */ + .quad 0x3FF027CBB51CBBA0 /* A01 = +1.009715754956893363214e+00 */ + .quad 0xBFA89DEC9FEC112E /* A02 = -4.807986690687680864098e-02 */ + .quad 0xBFCF2A99464D0DB4 /* A03 = -2.434875100390009317053e-01 */ + .quad 0xBF4DCC9C4F66A4D9 /* A00 = -9.094012482836712945103e-04 */ + .quad 0x3FF030E7CFCCD583 /* A01 = +1.011939822882909068014e+00 */ + .quad 0xBFACAA3B95814081 /* A02 = -5.598627281199331645611e-02 */ + .quad 0xBFCDF78F156BE7CF /* A03 = -2.341173987004467604844e-01 */ + .quad 0xBF5308ED74E5C7A6 /* A00 = -1.161796466103906435435e-03 */ + .quad 0x3FF03B5986412ECB /* A01 = +1.014489674026594512313e+00 */ + .quad 0xBFB087EBA88DCC3F /* A02 = -6.457398285947223148806e-02 */ + .quad 0xBFCCBB9BD134862F /* A03 = -2.244753619680052991736e-01 */ + .quad 0xBF57FA23C00DF4B5 /* A00 = -1.463446533505758208674e-03 */ + .quad 0x3FF0473558A1BCC0 /* A01 = +1.017384859292903342975e+00 */ + .quad 0xBFB2E702BC6360EF /* A02 = -7.383744334527241048871e-02 */ + .quad 0xBFCB77D546379288 /* A03 = -2.145945160729250122955e-01 */ + .quad 0xBF5DD12971557F71 /* A00 = -1.819887610814388068450e-03 */ + .quad 0x3FF0548DDF5000A8 /* A01 = +1.020643112482540360020e+00 */ + .quad 0xBFB571B63DA186E1 /* A02 = -8.376635555898871710045e-02 */ + .quad 0xBFCA2D5202605148 /* A03 = -2.045080672838912594358e-01 */ + .quad 0xBF6252B1AD5D4F17 /* A00 = -2.236697221556737096709e-03 */ + .quad 0x3FF063738A910BF7 /* A01 = +1.024280110622155737232e+00 */ + .quad 0xBFB8270C8E6B601B /* A02 = -9.434584118878357184013e-02 */ + .quad 0xBFC8DD27D950A07E /* A03 = -1.942491351230763441116e-01 */ + .quad 0xBF66470C91730CFC /* A00 = -2.719425723258004842786e-03 */ + .quad 0x3FF073F468FCF331 /* A01 = +1.028309259519300633556e+00 */ + .quad 0xBFBB05C2952191E4 /* A02 = -1.055566419686964629854e-01 */ + .quad 0xBFC7886A770DE2BD /* A03 = -1.838505822486435070662e-01 */ + .quad 0xBF6AD114AC8E98EC /* A00 = -3.273525599485007861467e-03 */ + .quad 0x3FF0861BF53E5226 /* A01 = +1.032741506559554434119e+00 */ + .quad 0xBFBE0C4F9B461507 /* A02 = -1.173753503881763554650e-01 */ + .quad 0xBFC6302A037CDE3A /* A03 = -1.733448521642786954722e-01 */ + .quad 0xBF6FFBDE2A6C2AF8 /* A00 = -3.904279630096648551207e-03 */ + .quad 0x3FF099F2EB8E7DA3 /* A01 = +1.037585182326304034106e+00 */ + .quad 0xBFC09C74D192DDF0 /* A02 = -1.297746680554463516444e-01 */ + .quad 0xBFC4D571D8E3079F /* A03 = -1.627638157861470424859e-01 */ + .quad 0xBF72E8FDC0B952AA /* A00 = -4.616728994353872309042e-03 */ + .quad 0x3FF0AF7F273C9533 /* A01 = +1.042845872181101141152e+00 */ + .quad 0xBFC244C512736F10 /* A02 = -1.427236881344176033792e-01 */ + .quad 0xBFC379474F58B902 /* A03 = -1.521386277613104298645e-01 */ + .quad 0xBF762EABAF17395B /* A00 = -5.415602341101023557701e-03 */ + .quad 0x3FF0C6C3886F63FB /* A01 = +1.048526318502125631582e+00 */ + .quad 0xBFC3FDF9918EA12A /* A02 = -1.561881981590514389957e-01 */ + .quad 0xBFC21CA89ECAB895 /* A03 = -1.414995932913753196036e-01 */ + .quad 0xBF79D387CE5B2BAE /* A00 = -6.305246822828998107258e-03 */ + .quad 0x3FF0DFBFE2346376 /* A01 = +1.054626353847394337748e+00 */ + .quad 0xBFC5C6DA43602620 /* A02 = -1.701309994680721970894e-01 */ + .quad 0xBFC0C08BD8DB6631 /* A03 = -1.308760460731704100557e-01 */ + .quad 0xBF7DDBA8E8DA9060 /* A00 = -7.289562037531366334164e-03 */ + .quad 0x3FF0FA70F0D1B464 /* A01 = +1.061142864894713433443e+00 */ + .quad 0xBFC79E18D92BAA7C /* A02 = -1.845122394946264732241e-01 */ + .quad 0xBFBECBBBF74C2669 /* A03 = -1.202962378266875381749e-01 */ + .quad 0xBF81254E76EA25DA /* A00 = -8.371937755572145950511e-03 */ + .quad 0x3FF116D05835EBD0 /* A01 = +1.068069786618014660462e+00 */ + .quad 0xBFC982539E2ED224 /* A02 = -1.992897531869327609755e-01 */ + .quad 0xBFBC1B043C350159 /* A03 = -1.097872397413132278254e-01 */ + .quad 0xBF8391ACBA863403 /* A00 = -9.555196230190082448686e-03 */ + .quad 0x3FF134D4AA477FE2 /* A01 = +1.075398125794884141015e+00 */ + .quad 0xBFCB7218609FEAFB /* A02 = -2.144194099235717521079e-01 */ + .quad 0xBFB970A16CB88329 /* A03 = -9.937485603633135211599e-02 */ + .quad 0xBF87935088E48E8B /* A00 = -1.151144902957603431692e-02 */ + .quad 0x3FF1649892AD7DD3 /* A01 = +1.087059567413110938716e+00 */ + .quad 0xBFCE6971DDE75409 /* A02 = -2.375929196847723912089e-01 */ + .quad 0xBFB58291E88CB251 /* A03 = -8.402358939628952472223e-02 */ + .quad 0xBF8DB3A62C325325 /* A00 = -1.450280973794233242702e-02 */ + .quad 0x3FF1A9C900C6DEEA /* A01 = +1.103951457056548068891e+00 */ + .quad 0xBFD13DBC65B0E08E /* A02 = -2.693930619311765140012e-01 */ + .quad 0xBFB06696F62696D1 /* A03 = -6.406539449252625362252e-02 */ + .quad 0xBF92583699F2E27A /* A00 = -1.791463198307716858659e-02 */ + .quad 0x3FF1F451B85AA9F0 /* A01 = +1.122148246892376022288e+00 */ + .quad 0xBFD34FD5F8288180 /* A02 = -3.017477916164565954205e-01 */ + .quad 0xBFA6FB692825B683 /* A03 = -4.488686194495718900788e-02 */ + .quad 0xBF9641C26E673D6F /* A00 = -2.173522757385398448959e-02 */ + .quad 0x3FF24364DA5E2B07 /* A01 = +1.141453602790251542487e+00 */ + .quad 0xBFD564A5A5EF5890 /* A02 = -3.342680092295120530821e-01 */ + .quad 0xBF9B43712011A982 /* A03 = -2.662445791467283467968e-02 */ + .quad 0xBF9A901038EC2F39 /* A00 = -2.594018313816024226548e-02 */ + .quad 0x3FF2961356DFFEBA /* A01 = +1.161639537196534011088e+00 */ + .quad 0xBFD775EBB17198C7 /* A02 = -3.665723069046972759644e-01 */ + .quad 0xBF833B1A926CD462 /* A03 = -9.390075295963199591975e-03 */ + .quad 0xBF9F396A6A461B91 /* A00 = -3.049246095317987084727e-02 */ + .quad 0x3FF2EB53BAEF534B /* A01 = +1.182452898229899629357e+00 */ + .quad 0xBFD97DABF8AD8BBD /* A02 = -3.982953957076310058660e-01 */ + .quad 0x3F7B8F6A3E0F8837 /* A03 = +6.728568086119371925713e-03 */ + .quad 0xBFA21878590F8BAA /* A00 = -3.534294211546946951064e-02 */ + .quad 0x3FF34209790236E1 /* A01 = +1.203622315111197105253e+00 */ + .quad 0xBFDB764C0E71BECB /* A02 = -4.290952817018306997277e-01 */ + .quad 0x3F962FE0C03F84C0 /* A03 = +2.166701482190513949888e-02 */ + .quad 0xBFA4B36B9AD27ECC /* A00 = -4.043136849327097492868e-02 */ + .quad 0x3FF3990C5B12FC16 /* A01 = +1.224865298994477935679e+00 */ + .quad 0xBFDD5AABB0D01390 /* A02 = -4.586590983092770912322e-01 */ + .quad 0x3FA21DAF5CA162DB /* A03 = +3.538272863142363083844e-02 */ + .quad 0xBFA7645E4D7BF28B /* A00 = -4.568762489177399105378e-02 */ + .quad 0x3FF3EF2FD51C0D9F /* A01 = +1.245895225962932562069e+00 */ + .quad 0xBFDF26377E1B686E /* A02 = -4.867075664057044503963e-01 */ + .quad 0x3FA8803E756EE812 /* A03 = +4.785342391501513914509e-02 */ + .quad 0xBFAA210925C64413 /* A00 = -5.103329263796054643398e-02 */ + .quad 0x3FF44349F897D8E7 /* A01 = +1.266427966181760345066e+00 */ + .quad 0xBFE06A7B02C6D8E2 /* A02 = -5.129981092675530707226e-01 */ + .quad 0x3FAE3F194734F5D0 /* A03 = +5.907515520309980505687e-02 */ + .quad 0xBFACDE48F8A19BBB /* A00 = -5.638340029764018351832e-02 */ + .quad 0x3FF49439D5466582 /* A01 = +1.286187966447272845727e+00 */ + .quad 0xBFE131C7C1063DDC /* A02 = -5.373266954429101183166e-01 */ + .quad 0x3FB1ADEEC36AD805 /* A03 = +6.906025191241844940482e-02 */ + .quad 0xBFAF905D8F585680 /* A00 = -6.164829611604449866036e-02 */ + .quad 0x3FF4E0ED1FD27F99 /* A01 = +1.304913639360142818546e+00 */ + .quad 0xBFE1E7A859DC1D3D /* A02 = -5.595285182070380836095e-01 */ + .quad 0x3FB3ED018E4642A1 /* A03 = +7.783517573831001679086e-02 */ + .quad 0xBFB11595104160BA /* A00 = -6.673556944713512906198e-02 */ + .quad 0x3FF528650340490B /* A01 = +1.322361958217302513319e+00 */ + .quad 0xBFE28B14B40BC974 /* A02 = -5.794776455425521000109e-01 */ + .quad 0x3FB5DF49F5BAF6D7 /* A03 = +8.543836831355676453281e-02 */ + .quad 0xBFB2513A97344BA4 /* A00 = -7.155195418844911836587e-02 */ + .quad 0x3FF569BA0DB5EE14 /* A01 = +1.338312200124055273420e+00 */ + .quad 0xBFE31B53A8B67B20 /* A02 = -5.970857901737396389308e-01 */ + .quad 0x3FB787F297BB0544 /* A03 = +9.191814617499455275507e-02 */ + .quad 0xBFB37512E848FAFA /* A00 = -7.600515528700305112331e-02 */ + .quad 0x3FF5A41F33B403C8 /* A01 = +1.352568819013173495591e+00 */ + .quad 0xBFE397F6EA9A58A5 /* A02 = -6.123003561103997904880e-01 */ + .quad 0x3FB8EAA9FF25CA06 /* A03 = +9.733068923177520814782e-02 */ + .quad 0xBFB47B3E603AFC5D /* A00 = -8.000554894805263217439e-02 */ + .quad 0x3FF5D6E3EDE40487 /* A01 = +1.364963464031718975988e+00 */ + .quad 0xBFE400D5BCA6D631 /* A02 = -6.251019177058819709103e-01 */ + .quad 0x3FBA0B830ED567FE /* A03 = +1.017381583418739132707e-01 */ + .quad 0xBFB5BBFE8AC90496 /* A00 = -8.489981544791400103200e-02 */ + .quad 0x3FF612BA70107E95 /* A01 = +1.379572332145390989311e+00 */ + .quad 0xBFE477EAF1FA7693 /* A02 = -6.396383978023599814478e-01 */ + .quad 0x3FBB4784B7C08A95 /* A03 = +1.065600346196709652391e-01 */ + .quad 0xBFB6D5D940743939 /* A00 = -8.920057128509463473254e-02 */ + .quad 0x3FF644A8748F70CE /* A01 = +1.391762214006166953340e+00 */ + .quad 0xBFE4D646AB07EA37 /* A02 = -6.511567440459832267763e-01 */ + .quad 0x3FBC354F4E1D5292 /* A03 = +1.101884427747086558913e-01 */ + .quad 0xBFB7223D19E4F3D1 /* A00 = -9.036619074045339206069e-02 */ + .quad 0x3FF6518FEB42B7FA /* A01 = +1.394912642466350494175e+00 */ + .quad 0xBFE4ED86CB87498C /* A02 = -6.539949393430091184598e-01 */ + .quad 0x3FBC6D29F28CCA9B /* A03 = +1.110407082713131127205e-01 */ + .quad 0xBFB6878652FF6312 /* A00 = -8.800544287022329936754e-02 */ + .quad 0x3FF63948C302D040 /* A01 = +1.388985406648330922508e+00 */ + .quad 0xBFE4C4E2E7904E17 /* A02 = -6.490339777687407218920e-01 */ + .quad 0x3FBC127356CA1ABE /* A03 = +1.096565329445224612481e-01 */ + .quad 0xBFB4F5D18B0C91D6 /* A00 = -8.187589306596207427980e-02 */ + .quad 0x3FF5FD27EB7DD0B8 /* A01 = +1.374305648697413673176e+00 */ + .quad 0xBFE464E01A2B2FC6 /* A02 = -6.373138915164353601739e-01 */ + .quad 0x3FBB460547674A30 /* A03 = +1.065371798825160976065e-01 */ + .quad 0xBFB26642FA16A685 /* A00 = -7.187288861919156890412e-02 */ + .quad 0x3FF59F9BEDE1C95A /* A01 = +1.351467065073470141812e+00 */ + .quad 0xBFE3D67920C8FBEA /* A02 = -6.199308052381387046381e-01 */ + .quad 0x3FBA24F6A8D3CBC1 /* A03 = +1.021265184570401413078e-01 */ + .quad 0xBFADB5294794F097 /* A00 = -5.802277563859197656582e-02 */ + .quad 0x3FF523EA7B9CF453 /* A01 = +1.321268542159732772845e+00 */ + .quad 0xBFE322A8B55E35DB /* A02 = -5.979808370918208160205e-01 */ + .quad 0x3FB8C8673B1B3E37 /* A03 = +9.680791085269722928697e-02 */ + .quad 0xBFA4B7D661965C6A /* A00 = -4.046506825687219699450e-02 */ + .quad 0x3FF48DE3E2CE3122 /* A01 = +1.284641157110919085227e+00 */ + .quad 0xBFE251FED1A7F445 /* A02 = -5.725092024655472622285e-01 */ + .quad 0x3FB745699FCABDB9 /* A03 = +9.090290213747821701507e-02 */ + .quad 0xBF93E60456E4EE1D /* A00 = -1.943213253365004902773e-02 */ + .quad 0x3FF3E1A14E628A59 /* A01 = +1.242585474196536532432e+00 */ + .quad 0xBFE16C5AB660E876 /* A02 = -5.444768488007543094653e-01 */ + .quad 0x3FB5AD33AA8C188F /* A03 = +8.467410005332197397987e-02 */ + .quad 0x3F738C17C47C7961 /* A00 = +4.772274820224659853951e-03 */ + .quad 0x3FF3234DDE3BD146 /* A01 = +1.196119182682268355933e+00 */ + .quad 0xBFE078C0D77A9D3B /* A02 = -5.147403915952176722826e-01 */ + .quad 0x3FB40D74B3E276B8 /* A03 = +7.833032027925923568290e-02 */ + .quad 0x3FA0474BECC689C7 /* A00 = +3.179394975019849550746e-02 */ + .quad 0x3FF256FB4FA7D18A /* A01 = +1.146235762743432307076e+00 */ + .quad 0xBFDEFA8E3FB285E2 /* A02 = -4.840427038235174395098e-01 */ + .quad 0x3FB270C007493D59 /* A03 = +7.203293016322244446403e-02 */ + .quad 0x3FAF5BD51E479BDC /* A00 = +6.124750132203590768931e-02 */ + .quad 0x3FF18081D0B53BC5 /* A01 = +1.093873801484492647162e+00 */ + .quad 0xBFDCFE2439BD0C03 /* A02 = -4.530115665294831006626e-01 */ + .quad 0x3FB0DEFE5A45AFDD /* A03 = +6.590261176978580437424e-02 */ + .quad 0x3FB7BD5D2806EA26 /* A00 = +9.273321368429118805032e-02 */ + .quad 0x3FF0A369E35B4440 /* A01 = +1.039895904647224256223e+00 */ + .quad 0xBFDB04BC5C9951E7 /* A02 = -4.221640495573226181669e-01 */ + .quad 0x3FAEBBBAA9D6DEEF /* A03 = +6.002600978120919278380e-02 */ + .quad 0x3FC01BE411098DBC /* A00 = +1.258511622610124502941e-01 */ + .quad 0x3FEF85BDABC031C1 /* A01 = +9.850757936961188621083e-01 */ + .quad 0xBFD91521375097C2 /* A02 = -3.919146576102968682065e-01 */ + .quad 0x3FABE26F0086D982 /* A03 = +5.446192628317005068883e-02 */ + .quad 0x3FC481D7FF5776B9 /* A00 = +1.602125164781023347604e-01 */ + .quad 0x3FEDC3506C1E7218 /* A01 = +9.300920592973538347792e-01 */ + .quad 0xBFD7349A88DA7D4F /* A02 = -3.625856720409119104964e-01 */ + .quad 0x3FA936E2DFF8E2AE /* A03 = +4.924687370334389358018e-02 */ + .quad 0x3FC90471F96FA27A /* A00 = +1.954481571149420671141e-01 */ + .quad 0x3FEC0451601987A2 /* A01 = +8.755270840595026360376e-01 */ + .quad 0xBFD5671CD4B898DC /* A02 = -3.344184949259110251063e-01 */ + .quad 0x3FA6BB9594603B67 /* A03 = +4.439990459660841243261e-02 */ + .quad 0x3FCFD8ADB9ED944C /* A00 = +2.488000066615846384011e-01 */ + .quad 0x3FE978C073F6809A /* A01 = +7.959902062321078108909e-01 */ + .quad 0xBFD2DF7E00BCD5A9 /* A02 = -2.948908812716931060471e-01 */ + .quad 0x3FA3614033D490B2 /* A03 = +3.785133965200894456959e-02 */ + .quad 0x3FD4846A12AFE5A0 /* A00 = +3.205819303981005674586e-01 */ + .quad 0x3FE63A1147D40472 /* A01 = +6.945883181471244061100e-01 */ + .quad 0xBFCFA2268AD34450 /* A02 = -2.471359422548027318101e-01 */ + .quad 0x3F9F150201D9FFE0 /* A03 = +3.035357605267552383310e-02 */ + .quad 0x3FD9018641F82BEB /* A00 = +3.907180446846598154131e-01 */ + .quad 0x3FE33B7C220FFBDC /* A01 = +6.010113396913498995389e-01 */ + .quad 0xBFCA4E4187E29C86 /* A02 = -2.055131829740483584423e-01 */ + .quad 0x3F98C30CED19F8F4 /* A03 = +2.418155858185229434287e-02 */ + .quad 0x3FDD4B8255BEB078 /* A00 = +4.577337109901757905561e-01 */ + .quad 0x3FE0858B19D3A49B /* A01 = +5.163016800335243905451e-01 */ + .quad 0xBFC5BC929EACE564 /* A02 = -1.698172831327539045176e-01 */ + .quad 0x3F93A083CE57DE2B /* A03 = +1.916700312537337677621e-02 */ + .quad 0x3FE0A8E5E039295C /* A00 = +5.206174258576470315063e-01 */ + .quad 0x3FDC35E1234583FE /* A01 = +4.407885403107342225937e-01 */ + .quad 0xBFC1DE034E31AEB9 /* A02 = -1.395877963835710222629e-01 */ + .quad 0x3F8EFDEBB3471BDC /* A03 = +1.513275280821162888101e-02 */ + .quad 0x3FE2851B603CB2A5 /* A00 = +5.787484054213406503564e-01 */ + .quad 0x3FD7F4A44ABBB286 /* A01 = +3.743067483726821853551e-01 */ + .quad 0xBFBD3EEB67087DE7 /* A02 = -1.142413260026767657385e-01 */ + .quad 0x3F8864F38329E8BD /* A03 = +1.191129917173260922836e-02 */ + .quad 0x3FE437DBE3C34AC1 /* A00 = +6.318187187665317283702e-01 */ + .quad 0x3FD43F6F789441B5 /* A01 = +3.163717916040938438194e-01 */ + .quad 0xBFB7D92E7901B9A4 /* A02 = -9.315767721429907277653e-02 */ + .quad 0x3F8327ED342308E1 /* A03 = +9.353497651663324544136e-03 */ + .quad 0x3FE5C0977766D55C /* A00 = +6.797597248138731451661e-01 */ + .quad 0x3FD10B42A764D8F9 /* A01 = +2.663122782427219115142e-01 */ + .quad 0xBFB3633351D3D70F /* A02 = -7.573242900602060456716e-02 */ + .quad 0x3F7E079E30FF899C /* A03 = +7.331483779099558922843e-03 */ + .quad 0x3FE7202CE08A88C4 /* A00 = +7.226776490754436288455e-01 */ + .quad 0x3FCC973EB5662B01 /* A01 = +2.233656297433626314319e-01 */ + .quad 0xBFAF70A455F9920B /* A02 = -6.140626477716545211782e-02 */ + .quad 0x3F77812411CE99B6 /* A03 = +5.738392731393584730859e-03 */ + .quad 0x3FE85879424095B1 /* A00 = +7.608000082006382003286e-01 */ + .quad 0x3FC7E73BD1674D84 /* A01 = +1.867441914060742336190e-01 */ + .quad 0xBFA96F84E4BF333B /* A02 = -4.967894832916504993525e-02 */ + .quad 0x3F72606DDCA6E117 /* A03 = +4.486493251924870105662e-03 */ + .quad 0x3FE96BFE4957F4DD /* A00 = +7.944327766887472330737e-01 */ + .quad 0x3FC3ED4780D25478 /* A01 = +1.556786898624158421711e-01 */ + .quad 0xBFA489C5F9A56B58 /* A02 = -4.011362717093075458408e-02 */ + .quad 0x3F6CB5DC17E9AD2A /* A03 = +3.504686231556104931972e-03 */ + .quad 0x3FEA5D9CB2F41234 /* A00 = +8.239272589858672724006e-01 */ + .quad 0x3FC091A758374DCF /* A01 = +1.294449978582705440555e-01 */ + .quad 0xBFA08E436D4B5CE0 /* A02 = -3.233538350257858517978e-02 */ + .quad 0x3F666997AD53E6B7 /* A03 = +2.735897297154145629133e-03 */ + .quad 0x3FEB3060342CB850 /* A00 = +8.496552485501158713532e-01 */ + .quad 0x3FBB7D30BBC7DC1B /* A01 = +1.073790033768634993860e-01 */ + .quad 0xBF9AA6BA3443D9E3 /* A02 = -2.602663940430173170060e-02 */ + .quad 0x3F617CA764B7850B /* A03 = +2.134634914668814050648e-03 */ + .quad 0x3FEBE759A6A0C7B8 /* A00 = +8.719909910635044170135e-01 */ + .quad 0x3FB6C10DE6A703FF /* A01 = +8.888327485239243264115e-02 */ + .quad 0xBF956C566D8BE1F6 /* A02 = -2.092108768099084498138e-02 */ + .quad 0x3F5B46D1A4A59CF8 /* A03 = +1.664833764687232917079e-03 */ + .quad 0x3FEC858494887A04 /* A00 = +8.912985707318630268503e-01 */ + .quad 0x3FB2CC31F543394D /* A01 = +7.342827070099140762682e-02 */ + .quad 0xBF9133477FF69137 /* A02 = -1.679717749142747504343e-02 */ + .quad 0x3F5544482FBB4DA5 /* A03 = +1.298017973501022466823e-03 */ + .quad 0x3FED0DB59D0E32E9 /* A00 = +9.079235141267335551518e-01 */ + .quad 0x3FAF006BAFFC6EF4 /* A01 = +6.055008433597022787787e-02 */ + .quad 0xBF8B97146FA2B97A /* A02 = -1.347175565419144252499e-02 */ + .quad 0x3F5093B01F4CDC69 /* A03 = +1.011774057770665211434e-03 */ + .quad 0x3FEDB487C3EC457C /* A00 = +9.282873942012623835751e-01 */ + .quad 0x3FA7390C09D0BD1D /* A01 = +4.535710925881118044112e-02 */ + .quad 0xBF83D9F7C3181106 /* A02 = -9.693084374710735778846e-03 */ + .quad 0x3F46E34A0A3C0E64 /* A03 = +6.984817050299072134500e-04 */ + .quad 0x3FEE5FFCB4E6EB00 /* A00 = +9.492171796076434020506e-01 */ + .quad 0x3F9F4913ED00AADF /* A01 = +3.055220731782070861526e-02 */ + .quad 0xBF79670BD0E59B5C /* A02 = -6.201788097633133961528e-03 */ + .quad 0x3F3BC998EBCAF96D /* A03 = +4.240034429975534616304e-04 */ + .quad 0x3FEEDBA41E9542FE /* A00 = +9.643116566968215064293e-01 */ + .quad 0x3F94F5DD18D9C24D /* A01 = +2.046914543319848858727e-02 */ + .quad 0xBF7034896AA122B9 /* A02 = -3.956352980886528904192e-03 */ + .quad 0x3F30DCCB47810B39 /* A03 = +2.573009765038273091199e-04 */ + .quad 0x3FEF33F2882520ED /* A00 = +9.750912341196716903724e-01 */ + .quad 0x3F8BF37F2CF553FF /* A01 = +1.364802699996836392315e-02 */ + .quad 0xBF649F6F05A69619 /* A02 = -2.517430152880317534986e-03 */ + .quad 0x3F247623C950AAC9 /* A03 = +1.561087307505231250044e-04 */ + .quad 0x3FEF727757751741 /* A00 = +9.827229221489021115943e-01 */ + .quad 0x3F828E67912C4400 /* A01 = +9.060677640748693306705e-03 */ + .quad 0xBF5A2F51A806CC2C /* A02 = -1.598195784123355826789e-03 */ + .quad 0x3F18D35D7687E613 /* A03 = +9.470231965016282719549e-05 */ + .quad 0x3FEF9E6325C5942A /* A00 = +9.880843866091073568469e-01 */ + .quad 0x3F788AB117618F76 /* A01 = +5.991641772286606867914e-03 */ + .quad 0xBF5096EAB0B1EA89 /* A02 = -1.012543859160305046233e-03 */ + .quad 0x3F0E1E50EC4435AB /* A03 = +5.744633156910412119652e-05 */ + .quad 0x3FEFBD0784049369 /* A00 = +9.918248728250605994461e-01 */ + .quad 0x3F702BBD8294035F /* A01 = +3.947963975634432264028e-03 */ + .quad 0xBF44FB55E0F00593 /* A02 = -6.403130845457509273330e-04 */ + .quad 0x3F0244DCD723230A /* A03 = +3.484534217219031730379e-05 */ + .quad 0x3FEFD245E2366A43 /* A00 = +9.944180887426415926811e-01 */ + .quad 0x3F653D82EC088433 /* A01 = +2.592807490387838333795e-03 */ + .quad 0xBF3A7DF75E013CB8 /* A02 = -4.042366908878036561859e-04 */ + .quad 0x3EF6298E69F991CD /* A03 = +2.113564425911141559972e-05 */ + .quad 0x3FEFE0EAA508BC69 /* A00 = +9.962056372950317539861e-01 */ + .quad 0x3F5BD0771AF3FDDA /* A01 = +1.697651208644282514598e-03 */ + .quad 0xBF30B2E1254DE571 /* A02 = -2.548026725928887099328e-04 */ + .quad 0x3EEAE28B70EC0256 /* A03 = +1.281973848454955042307e-05 */ + .quad 0x3FEFEAF5303D7F96 /* A00 = +9.974313680831865536192e-01 */ + .quad 0x3F5229111365657E /* A01 = +1.108423877289460134782e-03 */ + .quad 0xBF250572D04DFE66 /* A02 = -1.603796628408704519168e-04 */ + .quad 0x3EE04E89BB57C981 /* A03 = +7.775682983689149966743e-06 */ + .quad 0x3FEFF1CF52F1CF44 /* A00 = +9.982678051005469122003e-01 */ + .quad 0x3F47A71316147CEB /* A01 = +7.218211359577819110842e-04 */ + .quad 0xBF1A6D7604055719 /* A02 = -1.008132248946049582547e-04 */ + .quad 0x3ED3C8047586A85C /* A03 = +4.716233739913014633626e-06 */ + .quad 0x3FEFF6770369EF69 /* A00 = +9.988360468555416149528e-01 */ + .quad 0x3F3EBB261180FBF0 /* A01 = +4.689186039321105101130e-04 */ + .quad 0xBF1097754FE19D7F /* A02 = -6.329206004950480057066e-05 */ + .quad 0x3EC7FEFF83BCA0A7 /* A03 = +2.860556404988488738366e-06 */ + .quad 0x3FEFF99D42371AC4 /* A00 = +9.992204945818561334647e-01 */ + .quad 0x3F33EB2AEC271F59 /* A01 = +3.039340773764907474054e-04 */ + .quad 0xBF04CF18E0FC0D79 /* A02 = -3.968996690952969588805e-05 */ + .quad 0x3EBD1BDBD6019BE9 /* A03 = +1.735021065507727833886e-06 */ + .quad 0x3FEFFBBCA32B0D91 /* A00 = +9.994795977476532700123e-01 */ + .quad 0x3F29C41E1615110A /* A01 = +1.965796209707565346710e-04 */ + .quad 0xBEFA11F93D9DCB5A /* A02 = -2.486248909101414873235e-05 */ + .quad 0x3EB1A7CA4546F7A7 /* A03 = +1.052345642723709228769e-06 */ + .quad 0x3FEFFD298B8E8DE2 /* A00 = +9.996535993308806045121e-01 */ + .quad 0x3F20A1C42D523C5B /* A01 = +1.268913244172078754520e-04 */ + .quad 0xBEF0507A364AFAE4 /* A02 = -1.555859070622834605755e-05 */ + .quad 0x3EA56ACA17E7CDF4 /* A03 = +6.382806956848098872313e-07 */ + .quad 0x3FEFFE1DC82BA5A3 /* A00 = +9.997700604991915929176e-01 */ + .quad 0x3F156E73B90F1769 /* A01 = +8.175450626798714452801e-05 */ + .quad 0xBEE4663579D0A09F /* A02 = -9.727122057226747625365e-06 */ + .quad 0x3E99FAF6FEC5D4C1 /* A03 = +3.871371052824002996020e-07 */ + .quad 0x3FEFFEF8D0BB5E81 /* A00 = +9.998745037837154514548e-01 */ + .quad 0x3F06686DA18D39C3 /* A01 = +4.273972098777251447726e-05 */ + .quad 0xBED46BC298073E90 /* A02 = -4.868731025855742842491e-06 */ + .quad 0x3E88E42286B9D0FD /* A03 = +1.854535328530838170114e-07 */ + .quad 0x3FEFFF8DBC68DDC7 /* A00 = +9.999455146670975791423e-01 */ + .quad 0x3EF26B2953A80AF0 /* A01 = +1.756534514108903368909e-05 */ + .quad 0xBEBFC4472D580F83 /* A02 = -1.893443529411295465239e-06 */ + .quad 0x3E72505B4553D19F /* A03 = +6.822456673547912277047e-08 */ + .quad 0x3FEFFFCED1276609 /* A00 = +9.999765477215883935358e-01 */ + .quad 0x3EDE1A94C7CC58F5 /* A01 = +7.177313020153979672606e-06 */ + .quad 0xBEA8A2C988744E57 /* A02 = -7.342066660497443762363e-07 */ + .quad 0x3E5AF30036BBBAF4 /* A03 = +2.509841882843541084885e-08 */ + .quad 0x3FEFFFEAFE70FCFC /* A00 = +9.999899835164849370983e-01 */ + .quad 0x3EC879175E3549F5 /* A01 = +2.917410471128503564412e-06 */ + .quad 0xBE930E36677D1813 /* A02 = -2.839493400307523115929e-07 */ + .quad 0x3E43D4005B42D48F /* A03 = +9.233192745401904898013e-09 */ + .quad 0x3ff0000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .quad 0x0000000000000000 + .align 32 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ + .align 32 + .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ + .align 32 + .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ + .align 32 + .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ + .align 32 + .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ + .align 32 + .long 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ + .align 32 + .type __svml_stanh_data_internal,@object + .size __svml_stanh_data_internal,.-__svml_stanh_data_internal diff --git a/sysdeps/x86_64/fpu/svml_d_tanh2_core.S b/sysdeps/x86_64/fpu/svml_d_tanh2_core.S new file mode 100644 index 0000000000..c703131777 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_tanh2_core.S @@ -0,0 +1,29 @@ +/* Function tanh vectorized with SSE2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVbN2v_tanh) +WRAPPER_IMPL_SSE2 tanh +END (_ZGVbN2v_tanh) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN2v_tanh) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_tanh4_core.S b/sysdeps/x86_64/fpu/svml_d_tanh4_core.S new file mode 100644 index 0000000000..fb293f4dba --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_tanh4_core.S @@ -0,0 +1,29 @@ +/* Function tanh vectorized with AVX2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVdN4v_tanh) +WRAPPER_IMPL_AVX _ZGVbN2v_tanh +END (_ZGVdN4v_tanh) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN4v_tanh) +#endif diff --git a/sysdeps/x86_64/fpu/svml_d_tanh4_core_avx.S b/sysdeps/x86_64/fpu/svml_d_tanh4_core_avx.S new file mode 100644 index 0000000000..5385a2c27c --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_tanh4_core_avx.S @@ -0,0 +1,25 @@ +/* Function tanh vectorized in AVX ISA as wrapper to SSE4 ISA version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVcN4v_tanh) +WRAPPER_IMPL_AVX _ZGVbN2v_tanh +END (_ZGVcN4v_tanh) diff --git a/sysdeps/x86_64/fpu/svml_d_tanh8_core.S b/sysdeps/x86_64/fpu/svml_d_tanh8_core.S new file mode 100644 index 0000000000..9dafa7bb9a --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_d_tanh8_core.S @@ -0,0 +1,25 @@ +/* Function tanh vectorized with AVX-512, wrapper to AVX2. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_d_wrapper_impl.h" + + .text +ENTRY (_ZGVeN8v_tanh) +WRAPPER_IMPL_AVX512 _ZGVdN4v_tanh +END (_ZGVeN8v_tanh) diff --git a/sysdeps/x86_64/fpu/svml_s_tanhf16_core.S b/sysdeps/x86_64/fpu/svml_s_tanhf16_core.S new file mode 100644 index 0000000000..19d51365e8 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_tanhf16_core.S @@ -0,0 +1,25 @@ +/* Function tanhf vectorized with AVX-512. Wrapper to AVX2 version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVeN16v_tanhf) +WRAPPER_IMPL_AVX512 _ZGVdN8v_tanhf +END (_ZGVeN16v_tanhf) diff --git a/sysdeps/x86_64/fpu/svml_s_tanhf4_core.S b/sysdeps/x86_64/fpu/svml_s_tanhf4_core.S new file mode 100644 index 0000000000..6b98950f84 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_tanhf4_core.S @@ -0,0 +1,29 @@ +/* Function tanhf vectorized with SSE2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVbN4v_tanhf) +WRAPPER_IMPL_SSE2 tanhf +END (_ZGVbN4v_tanhf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN4v_tanhf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_tanhf8_core.S b/sysdeps/x86_64/fpu/svml_s_tanhf8_core.S new file mode 100644 index 0000000000..3ada061ae0 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_tanhf8_core.S @@ -0,0 +1,29 @@ +/* Function tanhf vectorized with AVX2, wrapper version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVdN8v_tanhf) +WRAPPER_IMPL_AVX _ZGVbN4v_tanhf +END (_ZGVdN8v_tanhf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN8v_tanhf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_tanhf8_core_avx.S b/sysdeps/x86_64/fpu/svml_s_tanhf8_core_avx.S new file mode 100644 index 0000000000..255d45952d --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_tanhf8_core_avx.S @@ -0,0 +1,25 @@ +/* Function tanhf vectorized in AVX ISA as wrapper to SSE4 ISA version. + Copyright (C) 2021 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 + <https://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_wrapper_impl.h" + + .text +ENTRY (_ZGVcN8v_tanhf) +WRAPPER_IMPL_AVX _ZGVbN4v_tanhf +END (_ZGVcN8v_tanhf) diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx.c b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx.c new file mode 100644 index 0000000000..a456c574e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx.c @@ -0,0 +1 @@ +#include "test-double-libmvec-tanh.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx2.c b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx2.c new file mode 100644 index 0000000000..a456c574e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx2.c @@ -0,0 +1 @@ +#include "test-double-libmvec-tanh.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx512f.c b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx512f.c new file mode 100644 index 0000000000..a456c574e2 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-tanh-avx512f.c @@ -0,0 +1 @@ +#include "test-double-libmvec-tanh.c" diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tanh.c b/sysdeps/x86_64/fpu/test-double-libmvec-tanh.c new file mode 100644 index 0000000000..4cb6a169d8 --- /dev/null +++ b/sysdeps/x86_64/fpu/test-double-libmvec-tanh.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE double +#define LIBMVEC_FUNC tanh +#include "test-vector-abi-arg1.h" diff --git a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c index 9d91ccfe51..f53bb6813e 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVbN2v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVbN2v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVbN2v_acosh) VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVbN2v_erf) +VECTOR_WRAPPER (WRAPPER_NAME (tanh), _ZGVbN2v_tanh) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c index 9e86d5fef8..0452c3db38 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c @@ -47,6 +47,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVdN4v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVdN4v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVdN4v_acosh) VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVdN4v_erf) +VECTOR_WRAPPER (WRAPPER_NAME (tanh), _ZGVdN4v_tanh) #ifndef __ILP32__ # define VEC_INT_TYPE __m256i diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c index 0f4ef00de4..197d5afc88 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVcN4v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVcN4v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVcN4v_acosh) VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVcN4v_erf) +VECTOR_WRAPPER (WRAPPER_NAME (tanh), _ZGVcN4v_tanh) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c index 975dff85af..e56ece640c 100644 --- a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVeN8v_log1p) VECTOR_WRAPPER (WRAPPER_NAME (atanh), _ZGVeN8v_atanh) VECTOR_WRAPPER (WRAPPER_NAME (acosh), _ZGVeN8v_acosh) VECTOR_WRAPPER (WRAPPER_NAME (erf), _ZGVeN8v_erf) +VECTOR_WRAPPER (WRAPPER_NAME (tanh), _ZGVeN8v_tanh) #ifndef __ILP32__ # define VEC_INT_TYPE __m512i diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx.c new file mode 100644 index 0000000000..254f9201aa --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx.c @@ -0,0 +1 @@ +#include "test-float-libmvec-tanhf.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx2.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx2.c new file mode 100644 index 0000000000..254f9201aa --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx2.c @@ -0,0 +1 @@ +#include "test-float-libmvec-tanhf.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx512f.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx512f.c new file mode 100644 index 0000000000..254f9201aa --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf-avx512f.c @@ -0,0 +1 @@ +#include "test-float-libmvec-tanhf.c" diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanhf.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf.c new file mode 100644 index 0000000000..9a61ee8f9c --- /dev/null +++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanhf.c @@ -0,0 +1,3 @@ +#define LIBMVEC_TYPE float +#define LIBMVEC_FUNC tanhf +#include "test-vector-abi-arg1.h" diff --git a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c index 2b1e27391a..abbebf9993 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVeN16v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVeN16v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVeN16v_acoshf) VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVeN16v_erff) +VECTOR_WRAPPER (WRAPPER_NAME (tanhf), _ZGVeN16v_tanhf) #define VEC_INT_TYPE __m512i diff --git a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c index 78428bf517..ae1c8b98c2 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVbN4v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVbN4v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVbN4v_acoshf) VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVbN4v_erff) +VECTOR_WRAPPER (WRAPPER_NAME (tanhf), _ZGVbN4v_tanhf) #define VEC_INT_TYPE __m128i diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c index dadd4e6ca0..eb477a0371 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c @@ -47,6 +47,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVdN8v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVdN8v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVdN8v_acoshf) VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVdN8v_erff) +VECTOR_WRAPPER (WRAPPER_NAME (tanhf), _ZGVdN8v_tanhf) /* Redefinition of wrapper to be compatible with _ZGVdN8vvv_sincosf. */ #undef VECTOR_WRAPPER_fFF diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c index 7b2d583e54..944f7f0a75 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c @@ -44,6 +44,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVcN8v_log1pf) VECTOR_WRAPPER (WRAPPER_NAME (atanhf), _ZGVcN8v_atanhf) VECTOR_WRAPPER (WRAPPER_NAME (acoshf), _ZGVcN8v_acoshf) VECTOR_WRAPPER (WRAPPER_NAME (erff), _ZGVcN8v_erff) +VECTOR_WRAPPER (WRAPPER_NAME (tanhf), _ZGVcN8v_tanhf) #define VEC_INT_TYPE __m128i |