[PATCH v2 4/7] x86: Optimize svml_s_tanhf16_core_avx512.S
Noah Goldstein
goldstein.w.n@gmail.com
Thu Jun 9 16:57:22 GMT 2022
On Thu, Jun 9, 2022 at 9:05 AM H.J. Lu <hjl.tools@gmail.com> wrote:
>
> On Wed, Jun 8, 2022 at 5:05 PM Noah Goldstein <goldstein.w.n@gmail.com> wrote:
> >
> > Optimizations are:
> > 1. Reduce code size (-67 bytes).
> > 2. Remove redundant move instructions.
> > 3. Slightly improve instruction selection/scheduling where
> > possible.
> > 4. Reduce rodata usage (-448 bytes).
> >
> > Result is roughly a 14% speedup:
> >
> > Function, New Time, Old Time, New / Old
> > _ZGVeN16v_tanhf, 0.649, 0.752, 0.863
> > ---
> > .../multiarch/svml_s_tanhf16_core_avx512.S | 527 ++++++++++--------
> > 1 file changed, 287 insertions(+), 240 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
> > index 5b1f9f151c..d55798767c 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
> > @@ -70,310 +70,357 @@
> > *
> > */
> >
> > -/* Offsets for data table __svml_stanh_data_internal
> > +/* Offsets for data table __svml_stanh_data_internal_avx512. Ordered
> > + by use in the function. On cold-starts this might help the
> > + prefetcher. Possibly a better idea is to interleave start/end so
> > + that the prefetcher is less likely to detect a stream and pull
> > + irrelivant lines into cache. */
> > +
> > +/* Offsets for data table __svml_stanh_data_internal. 4 bytes each.
> > */
> > -#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
> > +#define _iExpMantMask_UISA 0
> > +#define _iMinIdxOfsMask_UISA 4
> > +#define _iMaxIdxMask_UISA 8
> > +#define _iExpMask 12
> > +
> > +/* Offsets for data table __svml_stanh_data_internal_al64. 64 bytes
> > + each. */
> > +#define _sC_lo 0
> > +#define _sC_hi 64
> > +#define _sP7_lo 128
> > +#define _sP7_hi 192
> > +#define _sSignMask 256
> > +#define _sP6_lo 320
> > +#define _sP6_hi 384
> > +#define _sP5_lo 448
> > +#define _sP5_hi 512
> > +#define _sP4_lo 576
> > +#define _sP4_hi 640
> > +#define _sP3_lo 704
> > +#define _sP3_hi 768
> > +#define _sP2_lo 832
> > +#define _sP2_hi 896
> > +#define _sP0_lo 960
> > +#define _sP0_hi 1024
> >
> > #include <sysdep.h>
> > +#define TANHF_DATA(x) ((x)+__svml_stanh_data_internal_al64)
> > +#define TANHF_DATA_UNALIGNED(x) ((x)+__svml_stanh_data_internal)
> >
> > .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
> > + vpandd TANHF_DATA_UNALIGNED(_iExpMantMask_UISA)(%rip){1to16}, %zmm0, %zmm1
> > + vpsubd TANHF_DATA_UNALIGNED(_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
> > + /* Selection arguments between [0, 0x03e00000] into zmm3. */
> > + vpxord %zmm3, %zmm3, %zmm3
> > + vpmaxsd %zmm3, %zmm2, %zmm3
> > + vpminsd TANHF_DATA_UNALIGNED(_iMaxIdxMask_UISA)(%rip){1to16}, %zmm3, %zmm3
> >
> > - /* Go to special inputs processing branch */
> > - jne L(SPECIAL_VALUES_BRANCH)
> > - # LOE rbx r12 r13 r14 r15 edx zmm0 zmm1
> > + /* Setup permute indices in zmm3. */
> > + vpsrld $21, %zmm3, %zmm3
> >
> > - /* Restore registers
> > - * and exit the function
> > - */
> > + /* Store if there are any special cases in k1. */
> > + vpcmpd $6, TANHF_DATA_UNALIGNED(_iExpMask)(%rip){1to16}, %zmm1, %k1
> >
> > -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)
> > + vmovaps TANHF_DATA(_sC_lo)(%rip), %zmm5
> > + vpermt2ps TANHF_DATA(_sC_hi)(%rip), %zmm3, %zmm5
> >
> > - /* Branch to process
> > - * special inputs
> > - */
> > + vmovaps TANHF_DATA(_sP7_lo)(%rip), %zmm2
> > + vpermt2ps TANHF_DATA(_sP7_hi)(%rip), %zmm3, %zmm2
> >
> > -L(SPECIAL_VALUES_BRANCH):
> > - vmovups %zmm1, 64(%rsp)
> > - vmovups %zmm0, 128(%rsp)
> > - # LOE rbx r12 r13 r14 r15 edx zmm0
> > + /* Store absolute values of inputs in zmm1. */
> > + vmovaps TANHF_DATA(_sSignMask)(%rip), %zmm4
> > + vandnps %zmm0, %zmm4, %zmm1
> > + vsubps {rn-sae}, %zmm5, %zmm1, %zmm1
> >
> > - xorl %eax, %eax
> > - # LOE rbx r12 r13 r14 r15 eax edx
> > + vmovaps TANHF_DATA(_sP6_lo)(%rip), %zmm5
> > + vpermt2ps TANHF_DATA(_sP6_hi)(%rip), %zmm3, %zmm5
> >
> > - 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
> > - */
> > + 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
> >
> > -L(RANGEMASK_CHECK):
> > - btl %r12d, %r13d
> > + vmovaps TANHF_DATA(_sP4_lo)(%rip), %zmm7
> > + vpermt2ps TANHF_DATA(_sP4_hi)(%rip), %zmm3, %zmm7
> >
> > - /* Call scalar math function */
> > - jc L(SCALAR_MATH_CALL)
> > - # LOE rbx r15 r12d r13d
> > + vmovaps TANHF_DATA(_sP3_lo)(%rip), %zmm8
> > + vpermt2ps TANHF_DATA(_sP3_hi)(%rip), %zmm3, %zmm8
> >
> > - /* Special inputs
> > - * processing loop
> > + 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)
> > + # LOE rbx r12 r13 r14 r15 zmm0 zmm2 zmm4
> > + /* Wait until after branch of write over zmm0. */
> > + vpternlogd $0xec, %zmm4, %zmm2, %zmm0
> > +
> > + /* No stack restoration on the fastpath. */
> > + ret
> > +
> > + /* Cold case. edx has 1s where there was a special value that
> > + needs to be handled by a tanhf call. Optimize for code size
> > + moreso than speed here. */
> > +L(SPECIAL_VALUES_BRANCH):
> > + # LOE rbx rdx r12 r13 r14 r15 zmm0 zmm2 zmm4
> > + /* Use r13 to save/restore the stack. This allows us to use rbp as
> > + callee save register saving code size. */
> > + pushq %r13
> > + cfi_adjust_cfa_offset(8)
> > + cfi_offset(r13, -16)
> > + /* Need to callee save registers to preserve state across tanhf calls.
> > */
> > + pushq %rbx
> > + cfi_adjust_cfa_offset(8)
> > + cfi_offset(rbx, -24)
> > + pushq %rbp
> > + cfi_adjust_cfa_offset(8)
> > + cfi_offset(rbp, -32)
> > + movq %rsp, %r13
> > + cfi_def_cfa_register(r13)
> > +
> > + /* Align stack and make room for 2x zmm vectors. */
> > + andq $-64, %rsp
> > + addq $-128, %rsp
> > +
> > + /* Save origional input (zmm0 unchanged up to this point). */
> > + vmovaps %zmm0, 64(%rsp)
> > + /* Save all already computed inputs. */
> > + vpternlogd $0xec, %zmm4, %zmm2, %zmm0
> > + vmovaps %zmm0, (%rsp)
> >
> > + vzeroupper
> > +
> > + /* edx has 1s where there was a special value that needs to be handled
> > + by a tanhf call. */
> > + movl %edx, %ebx
> > 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
> > - */
> > + # LOE rbx rbp r12 r13 r14 r15
> > + /* use rbp 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. Realigning also costs more code size. */
> > + xorl %ebp, %ebp
> > + tzcntl %ebx, %ebp
> >
> > -L(SCALAR_MATH_CALL):
> > - movl %r12d, %r14d
> > - movss 64(%rsp, %r14, 4), %xmm0
> > + /* Scalar math fucntion call to process special input. */
> > + movss 64(%rsp, %rbp, 4), %xmm0
> > call tanhf@PLT
> > - # LOE rbx r14 r15 r12d r13d xmm0
> >
> > - 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, %rbp, 4)
> >
> > - /* Process special inputs in loop */
> > - jmp L(SPECIAL_VALUES_LOOP)
> > - # LOE rbx r15 r12d r13d
> > + blsrl %ebx, %ebx
> > + jnz L(SPECIAL_VALUES_LOOP)
> > + # LOE r12 r13 r14 r15
> > +
> > + /* All results have been written to 64(%rsp). */
> Should
> 64 be removed?
Correct. Fixed in V2.
> > + vmovaps (%rsp), %zmm0
> > + /* Restore rsp. */
> > + movq %r13, %rsp
> > + cfi_def_cfa_register(rsp)
> > + /* Restore callee save registers. */
> > + popq %rbp
> > + cfi_adjust_cfa_offset(-8)
> > + cfi_restore(rbp)
> > + popq %rbx
> > + cfi_adjust_cfa_offset(-8)
> > + cfi_restore(rbp)
> > + popq %r13
> > + cfi_adjust_cfa_offset(-8)
> > + cfi_restore(r13)
> > + ret
> > END(_ZGVeN16v_tanhf_skx)
> >
> > .section .rodata, "a"
> > - .align 64
> > -
> > + .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];
> > +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 _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 _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];
> > + __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 */
> > + .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
> > +__svml_stanh_data_internal_al64:
> > + .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
> > - /* 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 */
> > + /* _sP7_lo */
> > + .long 0xbc0e2f66, 0x460bda12, 0x43d638ef, 0xc3e11c3e
> > + .long 0xc2baa4e9, 0xc249da2d, 0xc1859b82, 0x40dd5b57
> > + .long 0x40494640, 0x40c730a8, 0xbf0f160e, 0x3e30e76f
> > + .long 0xbea81387, 0xbdb26a1c, 0xbd351e57, 0xbb4c01a0
> > +
> > .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 */
> > + /* _sP7_hi */
> > + .long 0x3c1d7bfb, 0x3c722cd1, 0x3c973f1c, 0x3c33a31b
> > + .long 0x3b862ef4, 0x3a27b3d0, 0xba3b5907, 0xba0efc22
> > + .long 0xb97f9f0f, 0xb8c8af50, 0xb7bdddfb, 0xb64f2950
> > + .long 0xb4e085b1, 0xb3731dfa, 0xb15a1f04, 0x00000000
> > +
> > .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 */
> > + /* _sSignMask */
> > + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000
> > + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000
> > + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000
> > + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000
> > +
> > .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
> > - /* 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
> > + /* _sP5_lo */
> > + .long 0xb76dd6b9, 0xbe1c276d, 0x3c1dcf2f, 0x3dc1a78d
> > + .long 0x3d96f985, 0x3da2b61b, 0x3dc13397, 0x3dd2f670
> > + .long 0x3df48a0a, 0x3e06c5a8, 0x3e1a3aba, 0x3e27c405
> > + .long 0x3e2e78d0, 0x3e2c3e44, 0x3e1d3097, 0x3df4a8f4
> > +
> > .align 64
> > - .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMantMask_UISA */
> > + /* _sP5_hi */
> > + .long 0x3da38508, 0x3d31416a, 0x3b562657, 0xbcaeeac9
> > + .long 0xbcce9419, 0xbcaaeac4, 0xbc49e7d0, 0xbba71ddd
> > + .long 0xbb003b0e, 0xba3f9a05, 0xb92c08a7, 0xb7ba9232
> > + .long 0xb64a0b0f, 0xb4dac169, 0xb2ab78ac, 0x00000000
> > +
> > .align 64
> > - .long 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000 /* _iMinIdxOfsMask_UISA */
> > + /* _sP4_lo */
> > + .long 0xbeaaaaa5, 0xbeab0612, 0xbea7f01f, 0xbea4e120
> > + .long 0xbea387b7, 0xbea15962, 0xbe9d57f7, 0xbe976b5a
> > + .long 0xbe90230d, 0xbe880dff, 0xbe7479b3, 0xbe4c3d88
> > + .long 0xbe212482, 0xbdeb8cba, 0xbd5e78ad, 0x3c6b5e6e
> > +
> > .align 64
> > - .long 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000 /* _iMaxIdxMask_UISA */
> > + /* _sP4_hi */
> > + .long 0x3d839143, 0x3dc21ee1, 0x3de347af, 0x3dcbec96
> > + .long 0x3d99ef2d, 0x3d542ea1, 0x3cdde701, 0x3c2cca67
> > + .long 0x3b81cb27, 0x3ac073a1, 0x39ac3032, 0x383a94d9
> > + .long 0x36ca081d, 0x355abd4c, 0x332b3cb6, 0x00000000
> > +
> > .align 64
> > - .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */
> > + /* _sP3_lo */
> > + .long 0xb0343c7b, 0xbd6ee69d, 0xbd8f0da7, 0xbdae477d
> > + .long 0xbdcd2a1f, 0xbdeba80d, 0xbe0c443b, 0xbe293cf3
> > + .long 0xbe44f282, 0xbe5f3651, 0xbe81c7c0, 0xbe96d7ca
> > + .long 0xbea7fb8e, 0xbeb50e9e, 0xbec12efe, 0xbec4be92
> > +
> > .align 64
> > - .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */
> > + /* _sP3_hi */
> > + .long 0xbebce070, 0xbead510e, 0xbe8ef7d6, 0xbe4b8704
> > + .long 0xbe083237, 0xbdaf7449, 0xbd2e1ec4, 0xbc83bf06
> > + .long 0xbbc3e0b5, 0xbb10aadc, 0xba0157db, 0xb88c18f2
> > + .long 0xb717b096, 0xb5a43bae, 0xb383012c, 0x00000000
> > +
> > .align 64
> > - .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */
> > + /* _sP2_lo */
> > + .long 0x3f800000, 0x3f7f1f84, 0x3f7ebd11, 0x3f7e1e5f
> > + .long 0x3f7d609f, 0x3f7c842d, 0x3f7b00e5, 0x3f789580
> > + .long 0x3f75b8ad, 0x3f726fd9, 0x3f6cc59b, 0x3f63fb92
> > + .long 0x3f59ff97, 0x3f4f11d7, 0x3f3d7573, 0x3f24f360
> > +
> > .align 64
> > - .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */
> > + /* _sP2_hi */
> > + .long 0x3f0cbfe7, 0x3eec1a69, 0x3eb0a801, 0x3e6753a2
> > + .long 0x3e132f1a, 0x3db7e7d3, 0x3d320845, 0x3c84d3d4
> > + .long 0x3bc477b7, 0x3b10d3da, 0x3a01601e, 0x388c1a3b
> > + .long 0x3717b0da, 0x35a43bce, 0x338306c6, 0x00000000
> > +
> > .align 64
> > - .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */
> > + /* _sP0_lo */
> > + .long 0x00000000, 0x3d6fb9c9, 0x3d8fc35f, 0x3daf9169
> > + .long 0x3dcf49ab, 0x3deee849, 0x3e0f0ee8, 0x3e2e4984
> > + .long 0x3e4d2f8e, 0x3e6bb32e, 0x3e8c51cd, 0x3ea96163
> > + .long 0x3ec543f1, 0x3edfd735, 0x3f028438, 0x3f18abf0
> > +
> > .align 64
> > - .long 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */
> > + /* _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_al64, @object
> > + .size __svml_stanh_data_internal_al64, .-__svml_stanh_data_internal_al64
> > .type __svml_stanh_data_internal, @object
> > .size __svml_stanh_data_internal, .-__svml_stanh_data_internal
> > --
> > 2.34.1
> >
>
>
> --
> H.J.
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