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, 381 insertions, 0 deletions

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