diff mbox series

[v2,1/3] x86: Optimize svml_s_tanhf_core_avx512.S

Message ID 20220201205840.2587777-1-goldstein.w.n@gmail.com
State Accepted, archived
Headers
Series [v2,1/3] x86: Optimize svml_s_tanhf_core_avx512.S |

Checks

Context Check Description
dj/TryBot-apply_patch success Patch applied to master at the time it was sent

Commit Message

Noah Goldstein Feb. 1, 2022, 8:58 p.m. UTC 
  No bug.

Optimizations are:
    1. Reduce code size (-56 bytes).
    2. Reduce rodata size (-448 bytes).
    3. Remove register save/restores and stack adjustment from the
       fast path.
    4. Slightly better instruction selection where possible.
    5. Remove redundant registers moves.

This results in roughly a 14% performance improvement.

Results from geomean of 40 benchtest runs:
       Function, New Time, Old Time, New / Old
_ZGVeN16v_tanhf,    0.658,    0.762,     0.864

All math and mathvec tests are passing.
---
 .../multiarch/svml_s_tanhf16_core_avx512.S    | 585 +++++++++---------
 1 file changed, 298 insertions(+), 287 deletions(-)
diff mbox series

Patch

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
index 8954a5f658..6a2f0c1392 100644
--- a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S
@@ -70,312 +70,323 @@ 
  *
  */
 
-/* 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>
 
+#define TANHF_DATA(offset)	((offset) + __svml_stanh_data_internal)
+
+/* Offsets for data table __svml_stanh_data_internal.  */
+#define _iExpMantMask_UISA	0
+#define _iMinIdxOfsMask_UISA	4
+#define _iMaxIdxMask_UISA	8
+#define _iExpMask	12
+#define _sSignMask	64
+#define _sC_lo	128
+#define _sC_hi	192
+#define _sP7_lo	256
+#define _sP7_hi	320
+#define _sP6_lo	384
+#define _sP6_hi	448
+#define _sP5_lo	512
+#define _sP5_hi	576
+#define _sP4_lo	640
+#define _sP4_hi	704
+#define _sP3_lo	768
+#define _sP3_hi	832
+#define _sP2_lo	896
+#define _sP2_hi	960
+#define _sP0_lo	1024
+#define _sP0_hi	1088
+
         .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
+	/* Here huge arguments, INF and NaNs are filtered out to callout.  */
+	vpandd	TANHF_DATA(_iExpMantMask_UISA)(%rip) {1to16}, %zmm0, %zmm1
+	vpsubd	TANHF_DATA(_iMinIdxOfsMask_UISA)(%rip) {1to16}, %zmm1, %zmm2
 
-/*
- *  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
- */
+	/* Selection arguments between [0, 0x03e00000] into zmm3.  */
+	vpxord	%zmm3, %zmm3, %zmm3
+	vpmaxsd	%zmm3, %zmm2, %zmm3
+	vpminsd	TANHF_DATA(_iMaxIdxMask_UISA)(%rip) {1to16}, %zmm3, %zmm3
 
-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
- */
+	/* Setup permute indices in zmm3.  */
+	vpsrld	$21, %zmm3, %zmm3
+
+	/* Store if there are any special cases in k1.  */
+	vpcmpd	$6, TANHF_DATA(_iExpMask)(%rip) {1to16}, %zmm1, %k1
+
+
+	/* Store absolute values of inputs in zmm1.  */
+	vmovaps	TANHF_DATA(_sSignMask)(%rip), %zmm4
+	vandnps	%zmm0, %zmm4, %zmm1
+
+	vmovaps	TANHF_DATA(_sC_lo)(%rip), %zmm5
+	vpermt2ps TANHF_DATA(_sC_hi)(%rip), %zmm3, %zmm5
+	vsubps	{rn-sae}, %zmm5, %zmm1, %zmm1
+
+	vmovaps	TANHF_DATA(_sP7_lo)(%rip), %zmm2
+	vpermt2ps TANHF_DATA(_sP7_hi)(%rip), %zmm3, %zmm2
 
+	vmovaps	TANHF_DATA(_sP6_lo)(%rip), %zmm5
+	vpermt2ps TANHF_DATA(_sP6_hi)(%rip), %zmm3, %zmm5
+
+	vmovaps	TANHF_DATA(_sP5_lo)(%rip), %zmm6
+	vpermt2ps TANHF_DATA(_sP5_hi)(%rip), %zmm3, %zmm6
+
+	vfmadd213ps {rn-sae}, %zmm5, %zmm1, %zmm2
+	vfmadd213ps {rn-sae}, %zmm6, %zmm1, %zmm2
+
+	vmovaps	TANHF_DATA(_sP4_lo)(%rip), %zmm7
+	vpermt2ps TANHF_DATA(_sP4_hi)(%rip), %zmm3, %zmm7
+
+	vmovaps	TANHF_DATA(_sP3_lo)(%rip), %zmm8
+	vpermt2ps TANHF_DATA(_sP3_hi)(%rip), %zmm3, %zmm8
+
+	vfmadd213ps {rn-sae}, %zmm7, %zmm1, %zmm2
+	vfmadd213ps {rn-sae}, %zmm8, %zmm1, %zmm2
+
+	vmovaps	TANHF_DATA(_sP2_lo)(%rip), %zmm9
+	vpermt2ps TANHF_DATA(_sP2_hi)(%rip), %zmm3, %zmm9
+
+	vmovaps	TANHF_DATA(_sP0_lo)(%rip), %zmm10
+	vpermt2ps TANHF_DATA(_sP0_hi)(%rip), %zmm3, %zmm10
+
+	vfmadd213ps {rn-sae}, %zmm9, %zmm1, %zmm2
+	vfmadd213ps {rn-sae}, %zmm10, %zmm1, %zmm2
+
+	kmovw	%k1, %edx
+	testl	%edx, %edx
+
+	/* Go to special inputs processing branch.  */
+	jne	L(SPECIAL_VALUES_BRANCH)
+	/* Wait until after branch of write over zmm0.  */
+	vpternlogd $0xec, %zmm4, %zmm2, %zmm0
+
+	/* No stack restoration on the fastpath.  */
+	ret
+
+	/* 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
- */
+	pushq	%rbp
+	/* Need to callee save registers to preserve state across tanhf calls.
+	 */
+	pushq	%r13
+	pushq	%r12
+	movq	%rsp, %rbp
 
-L(RANGEMASK_CHECK):
-        btl       %r12d, %r13d
+	/* Align stack and make room for 2x zmm vectors.  */
+	andq	$-64, %rsp
+	addq	$-128, %rsp
 
-/* Call scalar math function */
-        jc        L(SCALAR_MATH_CALL)
-                                # LOE rbx r15 r12d r13d
+	/* Save all already computed inputs.  */
+	vpternlogd $0xec, %zmm4, %zmm2, %zmm2
+	vmovaps	%zmm2, (%rsp)
+	/* Save origional input (zmm0 unchanged up to this point).  */
+	vmovaps	%zmm0, 64(%rsp)
 
-/* Special inputs
- * processing loop
- */
+	vzeroupper
 
+	/* edx has 1s where there was a special value that needs to be handled
+	   by a tanhf call.  */
+	movl	%edx, %r13d
 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
- */
+	/* use r12 as index for special value that is saved across calls to
+	   tanhf. We technically don't need a callee save register here as offset
+	   to rsp is always [0, 56] so we can restore rsp by realigning to 64.
+	   Essentially the tradeoff is 1 extra save/restore vs 2 extra instructions
+	   in the loop.  */
+	xorl	%r12d, %r12d
+	tzcntl	%r13d, %r12d
 
-L(SCALAR_MATH_CALL):
-        movl      %r12d, %r14d
-        movss     64(%rsp,%r14,4), %xmm0
-        call      tanhf@PLT
-                                # LOE rbx r14 r15 r12d r13d xmm0
+	/* Scalar math fucntion call to process special input.  */
+	movss	64(%rsp, %r12, 4), %xmm0
+	call	tanhf@PLT
 
-        movss     %xmm0, 128(%rsp,%r14,4)
+	/* No good way to avoid the store-forwarding fault this will cause on
+	   return. `lfence` avoids the SF fault but at greater cost as it
+	   serialized stack/callee save restoration.  */
+	movss	%xmm0, (%rsp, %r12, 4)
 
-/* Process special inputs in loop */
-        jmp       L(SPECIAL_VALUES_LOOP)
-                                # LOE rbx r15 r12d r13d
-END(_ZGVeN16v_tanhf_skx)
+	blsr	%r13d, %r13d
+	jnz	L(SPECIAL_VALUES_LOOP)
 
-        .section .rodata, "a"
-        .align 64
+	/* All results have been written to 64(%rsp).  */
+	vmovaps	(%rsp), %zmm0
+	/* Restore rsp.  */
+	movq	%rbp, %rsp
+	/* Restore callee save registers.  */
+	popq	%r12
+	popq	%r13
+	popq	%rbp
+	ret
+END(_ZGVeN16v_tanhf_skx)
 
+	.section .rodata, "a"
+	.align	16
 #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;
+	typedef	unsigned int VUINT32;
+	typedef	struct
+	{
+	__declspec (align(4))VUINT32 _iExpMantMask_UISA[1][1];
+	__declspec (align(4))VUINT32 _iMinIdxOfsMask_UISA[1][1];
+	__declspec (align(4))VUINT32 _iMaxIdxMask_UISA[1][1];
+	__declspec (align(4))VUINT32 _iExpMask[1][1];
+	__declspec (align(64))VUINT32 _sSignMask[16][1];
+	__declspec (align(64))VUINT32 _sC_lo[16][1];
+	__declspec (align(64))VUINT32 _sC_hi[16][1];
+	__declspec (align(64))VUINT32 _sP7_lo[16][1];
+	__declspec (align(64))VUINT32 _sP7_hi[16][1];
+	__declspec (align(64))VUINT32 _sP6_lo[16][1];
+	__declspec (align(64))VUINT32 _sP6_hi[16][1];
+	__declspec (align(64))VUINT32 _sP5_lo[16][1];
+	__declspec (align(64))VUINT32 _sP5_hi[16][1];
+	__declspec (align(64))VUINT32 _sP4_lo[16][1];
+	__declspec (align(64))VUINT32 _sP4_hi[16][1];
+	__declspec (align(64))VUINT32 _sP3_lo[16][1];
+	__declspec (align(64))VUINT32 _sP3_hi[16][1];
+	__declspec (align(64))VUINT32 _sP2_lo[16][1];
+	__declspec (align(64))VUINT32 _sP2_hi[16][1];
+	__declspec (align(64))VUINT32 _sP0_lo[16][1];
+	__declspec (align(64))VUINT32 _sP0_hi[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
+	.align	4
+	/* _iExpMantMask_UISA.  */
+	.long	0x7fe00000
+
+	.align	4
+	/* _iMinIdxOfsMask_UISA.  */
+	.long	0x3d400000
+
+	.align	4
+	/* _iMaxIdxMask_UISA.  */
+	.long	0x03e00000
+
+	.align	4
+	/* _iExpMask.  */
+	.long	0x7f000000
+
+	.align	64
+	/* _sSignMask.  */
+	.long	0x80000000, 0x80000000, 0x80000000, 0x80000000
+	.long	0x80000000, 0x80000000, 0x80000000, 0x80000000
+	.long	0x80000000, 0x80000000, 0x80000000, 0x80000000
+	.long	0x80000000, 0x80000000, 0x80000000, 0x80000000
+
+	.align	64
+	/* _sC_lo.  */
+	.long	0x00000000, 0x3d700000, 0x3d900000, 0x3db00000
+	.long	0x3dd00000, 0x3df00000, 0x3e100000, 0x3e300000
+	.long	0x3e500000, 0x3e700000, 0x3e900000, 0x3eb00000
+	.long	0x3ed00000, 0x3ef00000, 0x3f100000, 0x3f300000
+
+	.align	64
+	/* _sC_hi.  */
+	.long	0x3f500000, 0x3f700000, 0x3f900000, 0x3fb00000
+	.long	0x3fd00000, 0x3ff00000, 0x40100000, 0x40300000
+	.long	0x40500000, 0x40700000, 0x40900000, 0x40b00000
+	.long	0x40d00000, 0x40f00000, 0x41100000, 0x00000000
+
+	.align	64
+	/* _sP7_lo.  */
+	.long	0xbc0e2f66, 0x460bda12, 0x43d638ef, 0xc3e11c3e
+	.long	0xc2baa4e9, 0xc249da2d, 0xc1859b82, 0x40dd5b57
+	.long	0x40494640, 0x40c730a8, 0xbf0f160e, 0x3e30e76f
+	.long	0xbea81387, 0xbdb26a1c, 0xbd351e57, 0xbb4c01a0
+
+	.align	64
+	/* _sP7_hi.  */
+	.long	0x3c1d7bfb, 0x3c722cd1, 0x3c973f1c, 0x3c33a31b
+	.long	0x3b862ef4, 0x3a27b3d0, 0xba3b5907, 0xba0efc22
+	.long	0xb97f9f0f, 0xb8c8af50, 0xb7bdddfb, 0xb64f2950
+	.long	0xb4e085b1, 0xb3731dfa, 0xb15a1f04, 0x00000000
+
+	.align	64
+	/* _sP6_lo.  */
+	.long	0x3e0910e9, 0x43761143, 0x4165ecdc, 0xc190f756
+	.long	0xc08c097d, 0xc02ba813, 0xbf7f6bda, 0x3f2b1dc0
+	.long	0x3ece105d, 0x3f426a94, 0xbadb0dc4, 0x3da43b17
+	.long	0xbd51ab88, 0xbcaea23d, 0xbd3b6d8d, 0xbd6caaad
+
+	.align	64
+	/* _sP6_hi.  */
+	.long	0xbd795bed, 0xbd5fddda, 0xbd038f3b, 0xbc1cad63
+	.long	0x3abb4766, 0x3b95f10b, 0x3b825873, 0x3afaea66
+	.long	0x3a49f878, 0x39996bf3, 0x388f3e6c, 0x371bb0e3
+	.long	0x35a8a5e6, 0x34369b17, 0x322487b0, 0x00000000
+
+	.align	64
+	/* _sP5_lo.  */
+	.long	0xb76dd6b9, 0xbe1c276d, 0x3c1dcf2f, 0x3dc1a78d
+	.long	0x3d96f985, 0x3da2b61b, 0x3dc13397, 0x3dd2f670
+	.long	0x3df48a0a, 0x3e06c5a8, 0x3e1a3aba, 0x3e27c405
+	.long	0x3e2e78d0, 0x3e2c3e44, 0x3e1d3097, 0x3df4a8f4
+
+	.align	64
+	/* _sP5_hi.  */
+	.long	0x3da38508, 0x3d31416a, 0x3b562657, 0xbcaeeac9
+	.long	0xbcce9419, 0xbcaaeac4, 0xbc49e7d0, 0xbba71ddd
+	.long	0xbb003b0e, 0xba3f9a05, 0xb92c08a7, 0xb7ba9232
+	.long	0xb64a0b0f, 0xb4dac169, 0xb2ab78ac, 0x00000000
+
+	.align	64
+	/* _sP4_lo.  */
+	.long	0xbeaaaaa5, 0xbeab0612, 0xbea7f01f, 0xbea4e120
+	.long	0xbea387b7, 0xbea15962, 0xbe9d57f7, 0xbe976b5a
+	.long	0xbe90230d, 0xbe880dff, 0xbe7479b3, 0xbe4c3d88
+	.long	0xbe212482, 0xbdeb8cba, 0xbd5e78ad, 0x3c6b5e6e
+
+	.align	64
+	/* _sP4_hi.  */
+	.long	0x3d839143, 0x3dc21ee1, 0x3de347af, 0x3dcbec96
+	.long	0x3d99ef2d, 0x3d542ea1, 0x3cdde701, 0x3c2cca67
+	.long	0x3b81cb27, 0x3ac073a1, 0x39ac3032, 0x383a94d9
+	.long	0x36ca081d, 0x355abd4c, 0x332b3cb6, 0x00000000
+
+	.align	64
+	/* _sP3_lo.  */
+	.long	0xb0343c7b, 0xbd6ee69d, 0xbd8f0da7, 0xbdae477d
+	.long	0xbdcd2a1f, 0xbdeba80d, 0xbe0c443b, 0xbe293cf3
+	.long	0xbe44f282, 0xbe5f3651, 0xbe81c7c0, 0xbe96d7ca
+	.long	0xbea7fb8e, 0xbeb50e9e, 0xbec12efe, 0xbec4be92
+
+	.align	64
+	/* _sP3_hi.  */
+	.long	0xbebce070, 0xbead510e, 0xbe8ef7d6, 0xbe4b8704
+	.long	0xbe083237, 0xbdaf7449, 0xbd2e1ec4, 0xbc83bf06
+	.long	0xbbc3e0b5, 0xbb10aadc, 0xba0157db, 0xb88c18f2
+	.long	0xb717b096, 0xb5a43bae, 0xb383012c, 0x00000000
+
+	.align	64
+	/* _sP2_lo.  */
+	.long	0x3f800000, 0x3f7f1f84, 0x3f7ebd11, 0x3f7e1e5f
+	.long	0x3f7d609f, 0x3f7c842d, 0x3f7b00e5, 0x3f789580
+	.long	0x3f75b8ad, 0x3f726fd9, 0x3f6cc59b, 0x3f63fb92
+	.long	0x3f59ff97, 0x3f4f11d7, 0x3f3d7573, 0x3f24f360
+
+	.align	64
+	/* _sP2_hi.  */
+	.long	0x3f0cbfe7, 0x3eec1a69, 0x3eb0a801, 0x3e6753a2
+	.long	0x3e132f1a, 0x3db7e7d3, 0x3d320845, 0x3c84d3d4
+	.long	0x3bc477b7, 0x3b10d3da, 0x3a01601e, 0x388c1a3b
+	.long	0x3717b0da, 0x35a43bce, 0x338306c6, 0x00000000
+
+	.align	64
+	/* _sP0_lo.  */
+	.long	0x00000000, 0x3d6fb9c9, 0x3d8fc35f, 0x3daf9169
+	.long	0x3dcf49ab, 0x3deee849, 0x3e0f0ee8, 0x3e2e4984
+	.long	0x3e4d2f8e, 0x3e6bb32e, 0x3e8c51cd, 0x3ea96163
+	.long	0x3ec543f1, 0x3edfd735, 0x3f028438, 0x3f18abf0
+
+	.align	64
+	/* _sP0_hi.  */
+	.long	0x3f2bc480, 0x3f3bec1c, 0x3f4f2e5b, 0x3f613c53
+	.long	0x3f6ce37d, 0x3f743c4f, 0x3f7a5feb, 0x3f7dea85
+	.long	0x3f7f3b3d, 0x3f7fb78c, 0x3f7fefd4, 0x3f7ffdd0
+	.long	0x3f7fffb4, 0x3f7ffff6, 0x3f7fffff, 0x3f800000
+
+	.align	64
+	.type	__svml_stanh_data_internal, @object
+	.size	__svml_stanh_data_internal, .-__svml_stanh_data_internal