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authorNoah Goldstein <goldstein.w.n@gmail.com>2022-06-09 09:58:35 -0700
committerNoah Goldstein <goldstein.w.n@gmail.com>2022-06-09 12:51:25 -0700
commitcffb9414c55b2e169ed8af1cefd1e3f2ea97e750 (patch)
tree18f8ef507ae394488b620d49cfcbf8d2c5aa93c7
parentbcc41f66a48bf764ee85fea56b8e32719e230a0a (diff)
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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.S865
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 532ebba..bf7687d 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 = -3.665723069046972759644e-01 */
- .quad 0xBF833B1A926CD462 /* A03 = -9.390075295963199591975e-03 */
- .quad 0xBF9F396A6A461B91 /* A00 = -3.049246095317987084727e-02 */
- .quad 0x3FF2EB53BAEF534B /* A01 = +1.182452898229899629357e+00 */
- .quad 0xBFD97DABF8AD8BBD /* A02 = -3.982953957076310058660e-01 */
- .quad 0x3F7B8F6A3E0F8837 /* A03 = +6.728568086119371925713e-03 */
- .quad 0xBFA21878590F8BAA /* A00 = -3.534294211546946951064e-02 */
- .quad 0x3FF34209790236E1 /* A01 = +1.203622315111197105253e+00 */
- .quad 0xBFDB764C0E71BECB /* A02 = -4.290952817018306997277e-01 */
- .quad 0x3F962FE0C03F84C0 /* A03 = +2.166701482190513949888e-02 */
- .quad 0xBFA4B36B9AD27ECC /* A00 = -4.043136849327097492868e-02 */
- .quad 0x3FF3990C5B12FC16 /* A01 = +1.224865298994477935679e+00 */
- .quad 0xBFDD5AABB0D01390 /* A02 = -4.586590983092770912322e-01 */
- .quad 0x3FA21DAF5CA162DB /* A03 = +3.538272863142363083844e-02 */
- .quad 0xBFA7645E4D7BF28B /* A00 = -4.568762489177399105378e-02 */
- .quad 0x3FF3EF2FD51C0D9F /* A01 = +1.245895225962932562069e+00 */
- .quad 0xBFDF26377E1B686E /* A02 = -4.867075664057044503963e-01 */
- .quad 0x3FA8803E756EE812 /* A03 = +4.785342391501513914509e-02 */
- .quad 0xBFAA210925C64413 /* A00 = -5.103329263796054643398e-02 */
- .quad 0x3FF44349F897D8E7 /* A01 = +1.266427966181760345066e+00 */
- .quad 0xBFE06A7B02C6D8E2 /* A02 = -5.129981092675530707226e-01 */
- .quad 0x3FAE3F194734F5D0 /* A03 = +5.907515520309980505687e-02 */
- .quad 0xBFACDE48F8A19BBB /* A00 = -5.638340029764018351832e-02 */
- .quad 0x3FF49439D5466582 /* A01 = +1.286187966447272845727e+00 */
- .quad 0xBFE131C7C1063DDC /* A02 = -5.373266954429101183166e-01 */
- .quad 0x3FB1ADEEC36AD805 /* A03 = +6.906025191241844940482e-02 */
- .quad 0xBFAF905D8F585680 /* A00 = -6.164829611604449866036e-02 */
- .quad 0x3FF4E0ED1FD27F99 /* A01 = +1.304913639360142818546e+00 */
- .quad 0xBFE1E7A859DC1D3D /* A02 = -5.595285182070380836095e-01 */
- .quad 0x3FB3ED018E4642A1 /* A03 = +7.783517573831001679086e-02 */
- .quad 0xBFB11595104160BA /* A00 = -6.673556944713512906198e-02 */
- .quad 0x3FF528650340490B /* A01 = +1.322361958217302513319e+00 */
- .quad 0xBFE28B14B40BC974 /* A02 = -5.794776455425521000109e-01 */
- .quad 0x3FB5DF49F5BAF6D7 /* A03 = +8.543836831355676453281e-02 */
- .quad 0xBFB2513A97344BA4 /* A00 = -7.155195418844911836587e-02 */
- .quad 0x3FF569BA0DB5EE14 /* A01 = +1.338312200124055273420e+00 */
- .quad 0xBFE31B53A8B67B20 /* A02 = -5.970857901737396389308e-01 */
- .quad 0x3FB787F297BB0544 /* A03 = +9.191814617499455275507e-02 */
- .quad 0xBFB37512E848FAFA /* A00 = -7.600515528700305112331e-02 */
- .quad 0x3FF5A41F33B403C8 /* A01 = +1.352568819013173495591e+00 */
- .quad 0xBFE397F6EA9A58A5 /* A02 = -6.123003561103997904880e-01 */
- .quad 0x3FB8EAA9FF25CA06 /* A03 = +9.733068923177520814782e-02 */
- .quad 0xBFB47B3E603AFC5D /* A00 = -8.000554894805263217439e-02 */
- .quad 0x3FF5D6E3EDE40487 /* A01 = +1.364963464031718975988e+00 */
- .quad 0xBFE400D5BCA6D631 /* A02 = -6.251019177058819709103e-01 */
- .quad 0x3FBA0B830ED567FE /* A03 = +1.017381583418739132707e-01 */
- .quad 0xBFB5BBFE8AC90496 /* A00 = -8.489981544791400103200e-02 */
- .quad 0x3FF612BA70107E95 /* A01 = +1.379572332145390989311e+00 */
- .quad 0xBFE477EAF1FA7693 /* A02 = -6.396383978023599814478e-01 */
- .quad 0x3FBB4784B7C08A95 /* A03 = +1.065600346196709652391e-01 */
- .quad 0xBFB6D5D940743939 /* A00 = -8.920057128509463473254e-02 */
- .quad 0x3FF644A8748F70CE /* A01 = +1.391762214006166953340e+00 */
- .quad 0xBFE4D646AB07EA37 /* A02 = -6.511567440459832267763e-01 */
- .quad 0x3FBC354F4E1D5292 /* A03 = +1.101884427747086558913e-01 */
- .quad 0xBFB7223D19E4F3D1 /* A00 = -9.036619074045339206069e-02 */
- .quad 0x3FF6518FEB42B7FA /* A01 = +1.394912642466350494175e+00 */
- .quad 0xBFE4ED86CB87498C /* A02 = -6.539949393430091184598e-01 */
- .quad 0x3FBC6D29F28CCA9B /* A03 = +1.110407082713131127205e-01 */
- .quad 0xBFB6878652FF6312 /* A00 = -8.800544287022329936754e-02 */
- .quad 0x3FF63948C302D040 /* A01 = +1.388985406648330922508e+00 */
- .quad 0xBFE4C4E2E7904E17 /* A02 = -6.490339777687407218920e-01 */
- .quad 0x3FBC127356CA1ABE /* A03 = +1.096565329445224612481e-01 */
- .quad 0xBFB4F5D18B0C91D6 /* A00 = -8.187589306596207427980e-02 */
- .quad 0x3FF5FD27EB7DD0B8 /* A01 = +1.374305648697413673176e+00 */
- .quad 0xBFE464E01A2B2FC6 /* A02 = -6.373138915164353601739e-01 */
- .quad 0x3FBB460547674A30 /* A03 = +1.065371798825160976065e-01 */
- .quad 0xBFB26642FA16A685 /* A00 = -7.187288861919156890412e-02 */
- .quad 0x3FF59F9BEDE1C95A /* A01 = +1.351467065073470141812e+00 */
- .quad 0xBFE3D67920C8FBEA /* A02 = -6.199308052381387046381e-01 */
- .quad 0x3FBA24F6A8D3CBC1 /* A03 = +1.021265184570401413078e-01 */
- .quad 0xBFADB5294794F097 /* A00 = -5.802277563859197656582e-02 */
- .quad 0x3FF523EA7B9CF453 /* A01 = +1.321268542159732772845e+00 */
- .quad 0xBFE322A8B55E35DB /* A02 = -5.979808370918208160205e-01 */
- .quad 0x3FB8C8673B1B3E37 /* A03 = +9.680791085269722928697e-02 */
- .quad 0xBFA4B7D661965C6A /* A00 = -4.046506825687219699450e-02 */
- .quad 0x3FF48DE3E2CE3122 /* A01 = +1.284641157110919085227e+00 */
- .quad 0xBFE251FED1A7F445 /* A02 = -5.725092024655472622285e-01 */
- .quad 0x3FB745699FCABDB9 /* A03 = +9.090290213747821701507e-02 */
- .quad 0xBF93E60456E4EE1D /* A00 = -1.943213253365004902773e-02 */
- .quad 0x3FF3E1A14E628A59 /* A01 = +1.242585474196536532432e+00 */
- .quad 0xBFE16C5AB660E876 /* A02 = -5.444768488007543094653e-01 */
- .quad 0x3FB5AD33AA8C188F /* A03 = +8.467410005332197397987e-02 */
- .quad 0x3F738C17C47C7961 /* A00 = +4.772274820224659853951e-03 */
- .quad 0x3FF3234DDE3BD146 /* A01 = +1.196119182682268355933e+00 */
- .quad 0xBFE078C0D77A9D3B /* A02 = -5.147403915952176722826e-01 */
- .quad 0x3FB40D74B3E276B8 /* A03 = +7.833032027925923568290e-02 */
- .quad 0x3FA0474BECC689C7 /* A00 = +3.179394975019849550746e-02 */
- .quad 0x3FF256FB4FA7D18A /* A01 = +1.146235762743432307076e+00 */
- .quad 0xBFDEFA8E3FB285E2 /* A02 = -4.840427038235174395098e-01 */
- .quad 0x3FB270C007493D59 /* A03 = +7.203293016322244446403e-02 */
- .quad 0x3FAF5BD51E479BDC /* A00 = +6.124750132203590768931e-02 */
- .quad 0x3FF18081D0B53BC5 /* A01 = +1.093873801484492647162e+00 */
- .quad 0xBFDCFE2439BD0C03 /* A02 = -4.530115665294831006626e-01 */
- .quad 0x3FB0DEFE5A45AFDD /* A03 = +6.590261176978580437424e-02 */
- .quad 0x3FB7BD5D2806EA26 /* A00 = +9.273321368429118805032e-02 */
- .quad 0x3FF0A369E35B4440 /* A01 = +1.039895904647224256223e+00 */
- .quad 0xBFDB04BC5C9951E7 /* A02 = -4.221640495573226181669e-01 */
- .quad 0x3FAEBBBAA9D6DEEF /* A03 = +6.002600978120919278380e-02 */
- .quad 0x3FC01BE411098DBC /* A00 = +1.258511622610124502941e-01 */
- .quad 0x3FEF85BDABC031C1 /* A01 = +9.850757936961188621083e-01 */
- .quad 0xBFD91521375097C2 /* A02 = -3.919146576102968682065e-01 */
- .quad 0x3FABE26F0086D982 /* A03 = +5.446192628317005068883e-02 */
- .quad 0x3FC481D7FF5776B9 /* A00 = +1.602125164781023347604e-01 */
- .quad 0x3FEDC3506C1E7218 /* A01 = +9.300920592973538347792e-01 */
- .quad 0xBFD7349A88DA7D4F /* A02 = -3.625856720409119104964e-01 */
- .quad 0x3FA936E2DFF8E2AE /* A03 = +4.924687370334389358018e-02 */
- .quad 0x3FC90471F96FA27A /* A00 = +1.954481571149420671141e-01 */
- .quad 0x3FEC0451601987A2 /* A01 = +8.755270840595026360376e-01 */
- .quad 0xBFD5671CD4B898DC /* A02 = -3.344184949259110251063e-01 */
- .quad 0x3FA6BB9594603B67 /* A03 = +4.439990459660841243261e-02 */
- .quad 0x3FCFD8ADB9ED944C /* A00 = +2.488000066615846384011e-01 */
- .quad 0x3FE978C073F6809A /* A01 = +7.959902062321078108909e-01 */
- .quad 0xBFD2DF7E00BCD5A9 /* A02 = -2.948908812716931060471e-01 */
- .quad 0x3FA3614033D490B2 /* A03 = +3.785133965200894456959e-02 */
- .quad 0x3FD4846A12AFE5A0 /* A00 = +3.205819303981005674586e-01 */
- .quad 0x3FE63A1147D40472 /* A01 = +6.945883181471244061100e-01 */
- .quad 0xBFCFA2268AD34450 /* A02 = -2.471359422548027318101e-01 */
- .quad 0x3F9F150201D9FFE0 /* A03 = +3.035357605267552383310e-02 */
- .quad 0x3FD9018641F82BEB /* A00 = +3.907180446846598154131e-01 */
- .quad 0x3FE33B7C220FFBDC /* A01 = +6.010113396913498995389e-01 */
- .quad 0xBFCA4E4187E29C86 /* A02 = -2.055131829740483584423e-01 */
- .quad 0x3F98C30CED19F8F4 /* A03 = +2.418155858185229434287e-02 */
- .quad 0x3FDD4B8255BEB078 /* A00 = +4.577337109901757905561e-01 */
- .quad 0x3FE0858B19D3A49B /* A01 = +5.163016800335243905451e-01 */
- .quad 0xBFC5BC929EACE564 /* A02 = -1.698172831327539045176e-01 */
- .quad 0x3F93A083CE57DE2B /* A03 = +1.916700312537337677621e-02 */
- .quad 0x3FE0A8E5E039295C /* A00 = +5.206174258576470315063e-01 */
- .quad 0x3FDC35E1234583FE /* A01 = +4.407885403107342225937e-01 */
- .quad 0xBFC1DE034E31AEB9 /* A02 = -1.395877963835710222629e-01 */
- .quad 0x3F8EFDEBB3471BDC /* A03 = +1.513275280821162888101e-02 */
- .quad 0x3FE2851B603CB2A5 /* A00 = +5.787484054213406503564e-01 */
- .quad 0x3FD7F4A44ABBB286 /* A01 = +3.743067483726821853551e-01 */
- .quad 0xBFBD3EEB67087DE7 /* A02 = -1.142413260026767657385e-01 */
- .quad 0x3F8864F38329E8BD /* A03 = +1.191129917173260922836e-02 */
- .quad 0x3FE437DBE3C34AC1 /* A00 = +6.318187187665317283702e-01 */
- .quad 0x3FD43F6F789441B5 /* A01 = +3.163717916040938438194e-01 */
- .quad 0xBFB7D92E7901B9A4 /* A02 = -9.315767721429907277653e-02 */
- .quad 0x3F8327ED342308E1 /* A03 = +9.353497651663324544136e-03 */
- .quad 0x3FE5C0977766D55C /* A00 = +6.797597248138731451661e-01 */
- .quad 0x3FD10B42A764D8F9 /* A01 = +2.663122782427219115142e-01 */
- .quad 0xBFB3633351D3D70F /* A02 = -7.573242900602060456716e-02 */
- .quad 0x3F7E079E30FF899C /* A03 = +7.331483779099558922843e-03 */
- .quad 0x3FE7202CE08A88C4 /* A00 = +7.226776490754436288455e-01 */
- .quad 0x3FCC973EB5662B01 /* A01 = +2.233656297433626314319e-01 */
- .quad 0xBFAF70A455F9920B /* A02 = -6.140626477716545211782e-02 */
- .quad 0x3F77812411CE99B6 /* A03 = +5.738392731393584730859e-03 */
- .quad 0x3FE85879424095B1 /* A00 = +7.608000082006382003286e-01 */
- .quad 0x3FC7E73BD1674D84 /* A01 = +1.867441914060742336190e-01 */
- .quad 0xBFA96F84E4BF333B /* A02 = -4.967894832916504993525e-02 */
- .quad 0x3F72606DDCA6E117 /* A03 = +4.486493251924870105662e-03 */
- .quad 0x3FE96BFE4957F4DD /* A00 = +7.944327766887472330737e-01 */
- .quad 0x3FC3ED4780D25478 /* A01 = +1.556786898624158421711e-01 */
- .quad 0xBFA489C5F9A56B58 /* A02 = -4.011362717093075458408e-02 */
- .quad 0x3F6CB5DC17E9AD2A /* A03 = +3.504686231556104931972e-03 */
- .quad 0x3FEA5D9CB2F41234 /* A00 = +8.239272589858672724006e-01 */
- .quad 0x3FC091A758374DCF /* A01 = +1.294449978582705440555e-01 */
- .quad 0xBFA08E436D4B5CE0 /* A02 = -3.233538350257858517978e-02 */
- .quad 0x3F666997AD53E6B7 /* A03 = +2.735897297154145629133e-03 */
- .quad 0x3FEB3060342CB850 /* A00 = +8.496552485501158713532e-01 */
- .quad 0x3FBB7D30BBC7DC1B /* A01 = +1.073790033768634993860e-01 */
- .quad 0xBF9AA6BA3443D9E3 /* A02 = -2.602663940430173170060e-02 */
- .quad 0x3F617CA764B7850B /* A03 = +2.134634914668814050648e-03 */
- .quad 0x3FEBE759A6A0C7B8 /* A00 = +8.719909910635044170135e-01 */
- .quad 0x3FB6C10DE6A703FF /* A01 = +8.888327485239243264115e-02 */
- .quad 0xBF956C566D8BE1F6 /* A02 = -2.092108768099084498138e-02 */
- .quad 0x3F5B46D1A4A59CF8 /* A03 = +1.664833764687232917079e-03 */
- .quad 0x3FEC858494887A04 /* A00 = +8.912985707318630268503e-01 */
- .quad 0x3FB2CC31F543394D /* A01 = +7.342827070099140762682e-02 */
- .quad 0xBF9133477FF69137 /* A02 = -1.679717749142747504343e-02 */
- .quad 0x3F5544482FBB4DA5 /* A03 = +1.298017973501022466823e-03 */
- .quad 0x3FED0DB59D0E32E9 /* A00 = +9.079235141267335551518e-01 */
- .quad 0x3FAF006BAFFC6EF4 /* A01 = +6.055008433597022787787e-02 */
- .quad 0xBF8B97146FA2B97A /* A02 = -1.347175565419144252499e-02 */
- .quad 0x3F5093B01F4CDC69 /* A03 = +1.011774057770665211434e-03 */
- .quad 0x3FEDB487C3EC457C /* A00 = +9.282873942012623835751e-01 */
- .quad 0x3FA7390C09D0BD1D /* A01 = +4.535710925881118044112e-02 */
- .quad 0xBF83D9F7C3181106 /* A02 = -9.693084374710735778846e-03 */
- .quad 0x3F46E34A0A3C0E64 /* A03 = +6.984817050299072134500e-04 */
- .quad 0x3FEE5FFCB4E6EB00 /* A00 = +9.492171796076434020506e-01 */
- .quad 0x3F9F4913ED00AADF /* A01 = +3.055220731782070861526e-02 */
- .quad 0xBF79670BD0E59B5C /* A02 = -6.201788097633133961528e-03 */
- .quad 0x3F3BC998EBCAF96D /* A03 = +4.240034429975534616304e-04 */
- .quad 0x3FEEDBA41E9542FE /* A00 = +9.643116566968215064293e-01 */
- .quad 0x3F94F5DD18D9C24D /* A01 = +2.046914543319848858727e-02 */
- .quad 0xBF7034896AA122B9 /* A02 = -3.956352980886528904192e-03 */
- .quad 0x3F30DCCB47810B39 /* A03 = +2.573009765038273091199e-04 */
- .quad 0x3FEF33F2882520ED /* A00 = +9.750912341196716903724e-01 */
- .quad 0x3F8BF37F2CF553FF /* A01 = +1.364802699996836392315e-02 */
- .quad 0xBF649F6F05A69619 /* A02 = -2.517430152880317534986e-03 */
- .quad 0x3F247623C950AAC9 /* A03 = +1.561087307505231250044e-04 */
- .quad 0x3FEF727757751741 /* A00 = +9.827229221489021115943e-01 */
- .quad 0x3F828E67912C4400 /* A01 = +9.060677640748693306705e-03 */
- .quad 0xBF5A2F51A806CC2C /* A02 = -1.598195784123355826789e-03 */
- .quad 0x3F18D35D7687E613 /* A03 = +9.470231965016282719549e-05 */
- .quad 0x3FEF9E6325C5942A /* A00 = +9.880843866091073568469e-01 */
- .quad 0x3F788AB117618F76 /* A01 = +5.991641772286606867914e-03 */
- .quad 0xBF5096EAB0B1EA89 /* A02 = -1.012543859160305046233e-03 */
- .quad 0x3F0E1E50EC4435AB /* A03 = +5.744633156910412119652e-05 */
- .quad 0x3FEFBD0784049369 /* A00 = +9.918248728250605994461e-01 */
- .quad 0x3F702BBD8294035F /* A01 = +3.947963975634432264028e-03 */
- .quad 0xBF44FB55E0F00593 /* A02 = -6.403130845457509273330e-04 */
- .quad 0x3F0244DCD723230A /* A03 = +3.484534217219031730379e-05 */
- .quad 0x3FEFD245E2366A43 /* A00 = +9.944180887426415926811e-01 */
- .quad 0x3F653D82EC088433 /* A01 = +2.592807490387838333795e-03 */
- .quad 0xBF3A7DF75E013CB8 /* A02 = -4.042366908878036561859e-04 */
- .quad 0x3EF6298E69F991CD /* A03 = +2.113564425911141559972e-05 */
- .quad 0x3FEFE0EAA508BC69 /* A00 = +9.962056372950317539861e-01 */
- .quad 0x3F5BD0771AF3FDDA /* A01 = +1.697651208644282514598e-03 */
- .quad 0xBF30B2E1254DE571 /* A02 = -2.548026725928887099328e-04 */
- .quad 0x3EEAE28B70EC0256 /* A03 = +1.281973848454955042307e-05 */
- .quad 0x3FEFEAF5303D7F96 /* A00 = +9.974313680831865536192e-01 */
- .quad 0x3F5229111365657E /* A01 = +1.108423877289460134782e-03 */
- .quad 0xBF250572D04DFE66 /* A02 = -1.603796628408704519168e-04 */
- .quad 0x3EE04E89BB57C981 /* A03 = +7.775682983689149966743e-06 */
- .quad 0x3FEFF1CF52F1CF44 /* A00 = +9.982678051005469122003e-01 */
- .quad 0x3F47A71316147CEB /* A01 = +7.218211359577819110842e-04 */
- .quad 0xBF1A6D7604055719 /* A02 = -1.008132248946049582547e-04 */
- .quad 0x3ED3C8047586A85C /* A03 = +4.716233739913014633626e-06 */
- .quad 0x3FEFF6770369EF69 /* A00 = +9.988360468555416149528e-01 */
- .quad 0x3F3EBB261180FBF0 /* A01 = +4.689186039321105101130e-04 */
- .quad 0xBF1097754FE19D7F /* A02 = -6.329206004950480057066e-05 */
- .quad 0x3EC7FEFF83BCA0A7 /* A03 = +2.860556404988488738366e-06 */
- .quad 0x3FEFF99D42371AC4 /* A00 = +9.992204945818561334647e-01 */
- .quad 0x3F33EB2AEC271F59 /* A01 = +3.039340773764907474054e-04 */
- .quad 0xBF04CF18E0FC0D79 /* A02 = -3.968996690952969588805e-05 */
- .quad 0x3EBD1BDBD6019BE9 /* A03 = +1.735021065507727833886e-06 */
- .quad 0x3FEFFBBCA32B0D91 /* A00 = +9.994795977476532700123e-01 */
- .quad 0x3F29C41E1615110A /* A01 = +1.965796209707565346710e-04 */
- .quad 0xBEFA11F93D9DCB5A /* A02 = -2.486248909101414873235e-05 */
- .quad 0x3EB1A7CA4546F7A7 /* A03 = +1.052345642723709228769e-06 */
- .quad 0x3FEFFD298B8E8DE2 /* A00 = +9.996535993308806045121e-01 */
- .quad 0x3F20A1C42D523C5B /* A01 = +1.268913244172078754520e-04 */
- .quad 0xBEF0507A364AFAE4 /* A02 = -1.555859070622834605755e-05 */
- .quad 0x3EA56ACA17E7CDF4 /* A03 = +6.382806956848098872313e-07 */
- .quad 0x3FEFFE1DC82BA5A3 /* A00 = +9.997700604991915929176e-01 */
- .quad 0x3F156E73B90F1769 /* A01 = +8.175450626798714452801e-05 */
- .quad 0xBEE4663579D0A09F /* A02 = -9.727122057226747625365e-06 */
- .quad 0x3E99FAF6FEC5D4C1 /* A03 = +3.871371052824002996020e-07 */
- .quad 0x3FEFFEF8D0BB5E81 /* A00 = +9.998745037837154514548e-01 */
- .quad 0x3F06686DA18D39C3 /* A01 = +4.273972098777251447726e-05 */
- .quad 0xBED46BC298073E90 /* A02 = -4.868731025855742842491e-06 */
- .quad 0x3E88E42286B9D0FD /* A03 = +1.854535328530838170114e-07 */
- .quad 0x3FEFFF8DBC68DDC7 /* A00 = +9.999455146670975791423e-01 */
- .quad 0x3EF26B2953A80AF0 /* A01 = +1.756534514108903368909e-05 */
- .quad 0xBEBFC4472D580F83 /* A02 = -1.893443529411295465239e-06 */
- .quad 0x3E72505B4553D19F /* A03 = +6.822456673547912277047e-08 */
- .quad 0x3FEFFFCED1276609 /* A00 = +9.999765477215883935358e-01 */
- .quad 0x3EDE1A94C7CC58F5 /* A01 = +7.177313020153979672606e-06 */
- .quad 0xBEA8A2C988744E57 /* A02 = -7.342066660497443762363e-07 */
- .quad 0x3E5AF30036BBBAF4 /* A03 = +2.509841882843541084885e-08 */
- .quad 0x3FEFFFEAFE70FCFC /* A00 = +9.999899835164849370983e-01 */
- .quad 0x3EC879175E3549F5 /* A01 = +2.917410471128503564412e-06 */
- .quad 0xBE930E36677D1813 /* A02 = -2.839493400307523115929e-07 */
- .quad 0x3E43D4005B42D48F /* A03 = +9.233192745401904898013e-09 */
- .quad 0x3ff0000000000000
- .quad 0x0000000000000000
- .quad 0x0000000000000000
- .quad 0x0000000000000000
- .align 16
- .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */
- .align 16
- .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */
- .align 16
- .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */
- .align 16
- .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */
- .align 16
- .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */
- .align 16
- .long 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */
- .align 16
- .type __svml_stanh_data_internal, @object
- .size __svml_stanh_data_internal, .-__svml_stanh_data_internal
+ /* Cold case. edx has 1s where there was a special value that
+ needs to be handled by a tanhf call. Optimize for code size
+ more so than speed here. */
+L(SPECIAL_VALUES_BRANCH):
+ # LOE rbx rdx rbp r12 r13 r14 r15 xmm0 xmm12
+ /* Stack coming in 16-byte aligned. Set 8-byte misaligned so on
+ call entry will be 16-byte aligned. */
+ subq $56, %rsp
+ cfi_def_cfa_offset(64)
+ movups %xmm0, 24(%rsp)
+ movups %xmm12, 40(%rsp)
+
+ /* Use rbx/rbp for callee save registers as they get short
+ encoding for many instructions (as compared with r12/r13). */
+ movq %rbx, (%rsp)
+ cfi_offset(rbx, -64)
+ movq %rbp, 8(%rsp)
+ cfi_offset(rbp, -56)
+ /* 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):
+ # 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, 12] 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 %ebp, %ebp
+ bsfl %ebx, %ebp
+
+ /* Scalar math fucntion call to process special input. */
+ movss 40(%rsp, %rbp, 4), %xmm0
+ call tanhf@PLT
+ /* 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, 24(%rsp, %rbp, 4)
+
+ leal -1(%rbx), %eax
+ andl %eax, %ebx
+ jnz L(SPECIAL_VALUES_LOOP)
+ # LOE r12 r13 r14 r15
+ /* All results have been written to 24(%rsp). */
+ movups 24(%rsp), %xmm0
+ movq (%rsp), %rbx
+ cfi_restore(rbx)
+ movq 8(%rsp), %rbp
+ cfi_restore(rbp)
+ addq $56, %rsp
+ cfi_def_cfa_offset(8)
+ ret
+END(_ZGVbN4v_tanhf_sse4)