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| author | Noah Goldstein <goldstein.w.n@gmail.com> | 2022-06-09 09:58:35 -0700 |
|---|---|---|
| committer | Noah Goldstein <goldstein.w.n@gmail.com> | 2022-06-09 12:51:25 -0700 |
| commit | cffb9414c55b2e169ed8af1cefd1e3f2ea97e750 (patch) | |
| tree | 18f8ef507ae394488b620d49cfcbf8d2c5aa93c7 | |
| parent | bcc41f66a48bf764ee85fea56b8e32719e230a0a (diff) | |
| download | glibc-cffb9414c55b2e169ed8af1cefd1e3f2ea97e750.tar.xz glibc-cffb9414c55b2e169ed8af1cefd1e3f2ea97e750.zip | |
x86: Optimize svml_s_tanhf4_core_sse4.S
Optimizations are:
1. Reduce code size (-112 bytes).
2. Remove redundant move instructions.
3. Slightly improve instruction selection/scheduling where
possible.
4. Prefer registers which get short instruction encoding.
5. Reduce rodata size (-4k+ rodata is shared with avx2).
Result is roughly a 15-16% speedup:
Function, New Time, Old Time, New / Old
_ZGVbN4v_tanhf, 3.158, 3.749, 0.842
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S | 865 |
1 files changed, 138 insertions, 727 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 index 532ebbac65..bf7687d8ba 100644 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S @@ -70,761 +70,172 @@ * */ -/* 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> +/* tanhf data tables for avx2 and sse4 implementatins defined here. + */ +#define ONLY_DECL_OFFSET +#include "svml_s_tanhf_rodata.S" + .section .text.sse4, "ax", @progbits ENTRY(_ZGVbN4v_tanhf_sse4) - subq $72, %rsp - cfi_def_cfa_offset(80) - movaps %xmm0, %xmm5 + /* Save copy of input in xmm12. */ + movaps %xmm0, %xmm12 /* 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 + movdqu TANHF_DATA(_iExpMantMask)(%rip), %xmm3 + pand %xmm0, %xmm3 - /* if VMIN, VMAX is defined for I type */ + + /* Selection of arguments between [0, 0x04280000] into xmm3. */ pxor %xmm7, %xmm7 - movdqa %xmm9, %xmm6 - psubd _iMinIdxOfsMask+__svml_stanh_data_internal(%rip), %xmm9 + /* Save xmm3 for special values check at end. */ + movdqa %xmm3, %xmm8 + psubd TANHF_DATA(_iMinIdxOfsMask)(%rip), %xmm3 + pmaxsd %xmm7, %xmm3 + pminsd TANHF_DATA(_iMaxIdxMask)(%rip), %xmm3 + psrld $14, %xmm3 + + movq %xmm3, %rcx + movl %ecx, %edx + shrq $32, %rcx + + pshufd $0x0e, %xmm3, %xmm3 + movq %xmm3, %rdi + movl %edi, %esi + shrq $32, %rdi + + movaps TANHF_DATA(_sAbsMask)(%rip), %xmm1 + andps %xmm1, %xmm0 + + leaq TANHF_DATA(_lookupTable)(%rip), %rax + movups (%rdx, %rax), %xmm2 + movups (%rcx, %rax), %xmm6 /* * 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 + movaps %xmm2, %xmm4 + movlhps %xmm6, %xmm4 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 + + cvtps2pd %xmm0, %xmm6 + movhlps %xmm0, %xmm0 + cvtps2pd %xmm0, %xmm0 + + movups 16(%rdx, %rax), %xmm5 + movups 16(%rsi, %rax), %xmm13 + + movaps %xmm5, %xmm10 movaps %xmm13, %xmm11 - unpckhpd %xmm8, %xmm12 - unpckhpd %xmm9, %xmm13 - mulpd %xmm6, %xmm12 - mulpd %xmm3, %xmm13 - unpcklpd %xmm8, %xmm10 - unpcklpd %xmm9, %xmm11 - addpd %xmm10, %xmm12 + + movups 16(%rcx, %rax), %xmm7 + movups 16(%rdi, %rax), %xmm3 + + unpckhpd %xmm7, %xmm5 + unpckhpd %xmm3, %xmm13 + + mulpd %xmm6, %xmm5 + mulpd %xmm0, %xmm13 + + movlhps %xmm7, %xmm10 + movlhps %xmm3, %xmm11 + + addpd %xmm10, %xmm5 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 + mulpd %xmm6, %xmm5 + mulpd %xmm0, %xmm13 - /* Restore registers - * and exit the function - */ + addpd %xmm2, %xmm5 -L(EXIT): - addq $72, %rsp - cfi_def_cfa_offset(8) - ret - cfi_def_cfa_offset(80) + movups (%rsi, %rax), %xmm2 + movups (%rdi, %rax), %xmm7 - /* Branch to process - * special inputs - */ + movaps %xmm2, %xmm3 -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 - */ + unpckhpd %xmm7, %xmm2 + movlhps %xmm7, %xmm3 -L(RANGEMASK_CHECK): - btl %r12d, %r13d + addpd %xmm13, %xmm2 - /* Call scalar math function */ - jc L(SCALAR_MATH_CALL) - # LOE rbx rbp r15 r12d r13d + mulpd %xmm5, %xmm6 + addpd %xmm4, %xmm6 - /* Special inputs - * processing loop - */ + mulpd %xmm2, %xmm0 + addpd %xmm3, %xmm0 -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 + cvtpd2ps %xmm0, %xmm2 + cvtpd2ps %xmm6, %xmm0 - /* Scalar math fucntion call - * to process special input - */ + movlhps %xmm2, %xmm0 + andnps %xmm12, %xmm1 + orps %xmm1, %xmm0 -L(SCALAR_MATH_CALL): - movl %r12d, %r14d - movss 32(%rsp, %r14, 4), %xmm0 - call tanhf@PLT - # LOE rbx rbp r14 r15 r12d r13d xmm0 + /* xmm8 contains mask of special values. */ + pcmpgtd TANHF_DATA(_iExpMask)(%rip), %xmm8 - movss %xmm0, 48(%rsp, %r14, 4) + movmskps %xmm8, %edx + testl %edx, %edx - /* Process special inputs in loop */ - jmp L(SPECIAL_VALUES_LOOP) - # LOE rbx rbp r15 r12d r13d -END(_ZGVbN4v_tanhf_sse4) + /* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 xmm0 + /* No stack restoration on the fastpath. */ + ret - .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. |
