x86-64: Add vector tanh/tanhf implementation to libmvec

Implement vectorized tanh/tanhf containing SSE, AVX, AVX2 and
AVX512 versions for libmvec as per vector ABI.  It also contains
accuracy and ABI tests for vector tanh/tanhf with regenerated ulps.

Reviewed-by: H.J. Lu <hjl.tools@gmail.com>

1 files changed, 832 insertions, 0 deletions

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