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authorAndrew Senkevich <andrew.senkevich@intel.com>2015-06-17 16:22:26 +0300
committerAndrew Senkevich <andrew.senkevich@intel.com>2015-06-17 16:22:26 +0300
commitc10b9b13f7471b08273effc8cd7e51b119df9348 (patch)
treeca058c3446a247a5bccea211bd84a9c0130e1388 /sysdeps/x86_64/fpu/multiarch
parent1663be053d50c06bb0f971c87d41a7b83f96fe15 (diff)
downloadglibc-c10b9b13f7471b08273effc8cd7e51b119df9348.tar.gz
Vector pow for x86_64 and tests.
Here is implementation of vectorized pow containing SSE, AVX, AVX2 and AVX512 versions according to Vector ABI <https://groups.google.com/forum/#!topic/x86-64-abi/LmppCfN1rZ4>. * bits/libm-simd-decl-stubs.h: Added stubs for pow. * math/bits/mathcalls.h: Added pow declaration with __MATHCALL_VEC. * sysdeps/unix/sysv/linux/x86_64/libmvec.abilist: New versions added. * sysdeps/x86/fpu/bits/math-vector.h: Added SIMD declaration and asm redirections for pow. * sysdeps/x86_64/fpu/Makefile (libmvec-support): Added new files. * sysdeps/x86_64/fpu/Versions: New versions added. * sysdeps/x86_64/fpu/libm-test-ulps: Regenerated. * sysdeps/x86_64/fpu/multiarch/Makefile (libmvec-sysdep_routines): Added build of SSE, AVX2 and AVX512 IFUNC versions. * sysdeps/x86_64/fpu/svml_d_wrapper_impl.h: Added 2 argument wrappers. * sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S: New file. * sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S: New file. * sysdeps/x86_64/fpu/svml_d_pow2_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow4_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow4_core_avx.S: New file. * sysdeps/x86_64/fpu/svml_d_pow8_core.S: New file. * sysdeps/x86_64/fpu/svml_d_pow_data.S: New file. * sysdeps/x86_64/fpu/svml_d_pow_data.h: New file. * sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c: Added vector pow test. * sysdeps/x86_64/fpu/test-double-vlen2.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-avx2.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen4.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c: Likewise. * sysdeps/x86_64/fpu/test-double-vlen8.c: Likewise. * NEWS: Mention addition of x86_64 vector pow.
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch')
-rw-r--r--sysdeps/x86_64/fpu/multiarch/Makefile3
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S38
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S432
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S38
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S387
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S39
-rw-r--r--sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S741
7 files changed, 1677 insertions, 1 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/Makefile b/sysdeps/x86_64/fpu/multiarch/Makefile
index 9e1025136f..b03b1380c0 100644
--- a/sysdeps/x86_64/fpu/multiarch/Makefile
+++ b/sysdeps/x86_64/fpu/multiarch/Makefile
@@ -65,5 +65,6 @@ libmvec-sysdep_routines += svml_d_cos2_core_sse4 svml_d_cos4_core_avx2 \
svml_s_logf16_core_avx512 svml_d_exp2_core_sse4 \
svml_d_exp4_core_avx2 svml_d_exp8_core_avx512 \
svml_s_expf4_core_sse4 svml_s_expf8_core_avx2 \
- svml_s_expf16_core_avx512
+ svml_s_expf16_core_avx512 svml_d_pow2_core_sse4 \
+ svml_d_pow4_core_avx2 svml_d_pow8_core_avx512
endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S
new file mode 100644
index 0000000000..f111388922
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S
@@ -0,0 +1,38 @@
+/* Multiple versions of vectorized pow.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include <init-arch.h>
+
+ .text
+ENTRY (_ZGVbN2vv_pow)
+ .type _ZGVbN2vv_pow, @gnu_indirect_function
+ cmpl $0, KIND_OFFSET+__cpu_features(%rip)
+ jne 1f
+ call __init_cpu_features
+1: leaq _ZGVbN2vv_pow_sse4(%rip), %rax
+ testl $bit_SSE4_1, __cpu_features+CPUID_OFFSET+index_SSE4_1(%rip)
+ jz 2f
+ ret
+2: leaq _ZGVbN2vv_pow_sse2(%rip), %rax
+ ret
+END (_ZGVbN2vv_pow)
+libmvec_hidden_def (_ZGVbN2vv_pow)
+
+#define _ZGVbN2vv_pow _ZGVbN2vv_pow_sse2
+#include "../svml_d_pow2_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S
new file mode 100644
index 0000000000..9f6ec29ac5
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core_sse4.S
@@ -0,0 +1,432 @@
+/* Function pow vectorized with SSE4.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include "svml_d_pow_data.h"
+
+ .text
+ENTRY (_ZGVbN2vv_pow_sse4)
+/*
+ ALGORITHM DESCRIPTION:
+
+ 1) Calculating log2|x|
+ Here we use the following formula.
+ Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
+ Let C ~= 1/ln(2),
+ Rcp1 ~= 1/X1, X2=Rcp1*X1,
+ Rcp2 ~= 1/X2, X3=Rcp2*X2,
+ Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
+ Then
+ log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
+ log2(X1*Rcp1*Rcp2*Rcp3C/C),
+ where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
+
+ The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
+ Rcp3C, log2(C/Rcp3C) are taken from tables.
+ Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
+ is exactly represented in target precision.
+
+ log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
+ = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
+ = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
+ = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
+ where cq = X1*Rcp1*Rcp2*Rcp3C-C,
+ a1=1/(C*ln(2))-1 is small,
+ a2=1/(2*C^2*ln2),
+ a3=1/(3*C^3*ln2),
+ ...
+ We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
+
+ 2) Calculation of y*(HH+HL+HLL).
+ Split y into YHi+YLo.
+ Get high PH and medium PL parts of y*log2|x|.
+ Get low PLL part of y*log2|x|.
+ Now we have PH+PL+PLL ~= y*log2|x|.
+
+ 3) Calculation of 2^(PH+PL+PLL).
+ Mathematical idea of computing 2^(PH+PL+PLL) is the following.
+ Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
+ where expK=7 in this implementation, N and j are integers,
+ 0<=j<=2^expK-1, |Z|<2^(-expK-1).
+ Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
+ where 2^(j/2^expK) is stored in a table, and
+ 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
+
+ We compute 2^(PH+PL+PLL) as follows.
+ Break PH into PHH + PHL, where PHH = N + j/2^expK.
+ Z = PHL + PL + PLL
+ Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
+ Get 2^(j/2^expK) from table in the form THI+TLO.
+ Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
+
+ Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
+ ResHi := THI
+ ResLo := THI * Exp2Poly + TLO
+
+ Get exponent ERes of the result:
+ Res := ResHi + ResLo:
+ Result := ex(Res) + N. */
+
+ pushq %rbp
+ cfi_adjust_cfa_offset (8)
+ cfi_rel_offset (%rbp, 0)
+ movq %rsp, %rbp
+ cfi_def_cfa_register (%rbp)
+ andq $-64, %rsp
+ subq $256, %rsp
+ movq __svml_dpow_data@GOTPCREL(%rip), %rdx
+ movups %xmm14, 80(%rsp)
+ movups %xmm9, 176(%rsp)
+ movaps %xmm1, %xmm9
+ pshufd $221, %xmm0, %xmm1
+ movq _iIndexMask(%rdx), %xmm14
+ movq _iIndexAdd(%rdx), %xmm6
+
+/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
+ pand %xmm1, %xmm14
+ paddd %xmm6, %xmm14
+ psrld $10, %xmm14
+ movups %xmm13, 96(%rsp)
+
+/* Index for reciprocal table */
+ movdqa %xmm14, %xmm13
+ pslld $3, %xmm13
+
+/* Index for log2 table */
+ pslld $4, %xmm14
+ movd %xmm13, %eax
+ movups %xmm10, 160(%rsp)
+ movups _iMantissaMask(%rdx), %xmm10
+ movslq %eax, %rax
+
+/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
+ andps %xmm0, %xmm10
+ pextrd $1, %xmm13, %ecx
+ movslq %ecx, %rcx
+ movups %xmm0, (%rsp)
+ movdqa %xmm1, %xmm0
+
+/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
+ movq _i3fe7fe00(%rdx), %xmm6
+ psubd %xmm6, %xmm0
+ movups _iHighMask(%rdx), %xmm6
+ psrad $20, %xmm0
+ movups %xmm15, 48(%rsp)
+ movups %xmm12, 112(%rsp)
+ orps _dbOne(%rdx), %xmm10
+ movsd 11712(%rdx,%rax), %xmm12
+ movd %xmm14, %r8d
+ movq _i2p20_2p19(%rdx), %xmm15
+ movhpd 11712(%rdx,%rcx), %xmm12
+ paddd %xmm15, %xmm0
+ pextrd $1, %xmm14, %r9d
+
+/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
+ movaps %xmm6, %xmm14
+ andps %xmm10, %xmm14
+ movaps %xmm10, %xmm15
+ subpd %xmm14, %xmm15
+
+/* r1 = x1*rcp1 */
+ mulpd %xmm12, %xmm10
+
+/* E = -r1+__fence(x1Hi*rcp1) */
+ mulpd %xmm12, %xmm14
+
+/* E=E+x1Lo*rcp1 */
+ mulpd %xmm15, %xmm12
+ subpd %xmm10, %xmm14
+ pshufd $80, %xmm0, %xmm0
+ movslq %r8d, %r8
+ andps _iffffffff00000000(%rdx), %xmm0
+ subpd _db2p20_2p19(%rdx), %xmm0
+ addpd %xmm12, %xmm14
+ movslq %r9d, %r9
+
+/* T_Rh_Eh = T_Rh + E */
+ movaps %xmm14, %xmm15
+ movups %xmm8, 208(%rsp)
+ movups 19968(%rdx,%r8), %xmm8
+ movups %xmm11, 144(%rsp)
+ movaps %xmm8, %xmm11
+
+/* cq = c+r1 */
+ movups _LHN(%rdx), %xmm13
+ movhpd 19968(%rdx,%r9), %xmm11
+ addpd %xmm10, %xmm13
+
+/* T = k + L1hi */
+ addpd %xmm0, %xmm11
+
+/* T_Rh = T + cq */
+ movaps %xmm13, %xmm12
+ addpd %xmm11, %xmm12
+ addpd %xmm12, %xmm15
+
+/* Rl = T-T_Rh; -> -Rh */
+ subpd %xmm12, %xmm11
+
+/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
+ subpd %xmm15, %xmm12
+
+/* Rl=Rl+cq; */
+ addpd %xmm13, %xmm11
+
+/* cq = cq + E */
+ addpd %xmm14, %xmm13
+
+/* HLL+=E; -> El */
+ addpd %xmm14, %xmm12
+
+/* HLL+=Rl */
+ addpd %xmm12, %xmm11
+ unpckhpd 19968(%rdx,%r9), %xmm8
+
+/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
+ movaps %xmm15, %xmm14
+
+/* HLL+=L1lo; */
+ addpd %xmm11, %xmm8
+ movups _clv_2(%rdx), %xmm11
+
+/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
+ movaps %xmm6, %xmm12
+
+/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
+ mulpd %xmm13, %xmm11
+ addpd _clv_3(%rdx), %xmm11
+ mulpd %xmm13, %xmm11
+ addpd _clv_4(%rdx), %xmm11
+ mulpd %xmm13, %xmm11
+ addpd _clv_5(%rdx), %xmm11
+ mulpd %xmm13, %xmm11
+ addpd _clv_6(%rdx), %xmm11
+ mulpd %xmm13, %xmm11
+ addpd _clv_7(%rdx), %xmm11
+ mulpd %xmm11, %xmm13
+ addpd %xmm13, %xmm8
+ addpd %xmm8, %xmm14
+
+/*
+ 2^(y*(HH+HL+HLL)) starts here:
+ yH = y; Lo(yH)&=0xf8000000
+ */
+ andps %xmm9, %xmm6
+
+/* yL = y-yH; */
+ movaps %xmm9, %xmm11
+ subpd %xmm6, %xmm11
+ andps %xmm14, %xmm12
+
+/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
+ movaps %xmm14, %xmm10
+
+/* HL = T_Rh_Eh_HLLhi-HH; */
+ subpd %xmm12, %xmm14
+ subpd %xmm15, %xmm10
+ movq _HIDELTA(%rdx), %xmm2
+
+/* pH = yH*HH; */
+ movaps %xmm6, %xmm13
+ movq _LORANGE(%rdx), %xmm3
+ paddd %xmm2, %xmm1
+ pcmpgtd %xmm1, %xmm3
+
+/* pL=yL*HL+yH*HL; pL+=yL*HH; */
+ movaps %xmm11, %xmm1
+ mulpd %xmm14, %xmm1
+ mulpd %xmm14, %xmm6
+ mulpd %xmm12, %xmm13
+ mulpd %xmm11, %xmm12
+ addpd %xmm6, %xmm1
+
+/* HLL = HLL - HLLhi */
+ subpd %xmm10, %xmm8
+ addpd %xmm12, %xmm1
+
+/* pLL = y*HLL */
+ mulpd %xmm9, %xmm8
+ movups _db2p45_2p44(%rdx), %xmm11
+
+/* pHH = pH + *(double*)&db2p45_2p44 */
+ movaps %xmm11, %xmm12
+ addpd %xmm13, %xmm12
+
+/* t=pL+pLL; t+=pHL */
+ addpd %xmm8, %xmm1
+ movq _ABSMASK(%rdx), %xmm5
+ pshufd $221, %xmm9, %xmm4
+ pand %xmm5, %xmm4
+ movq _INF(%rdx), %xmm7
+ movdqa %xmm4, %xmm2
+ pcmpgtd %xmm7, %xmm2
+ pcmpeqd %xmm7, %xmm4
+ pshufd $136, %xmm12, %xmm7
+ por %xmm4, %xmm2
+
+/* pHH = pHH - *(double*)&db2p45_2p44 */
+ subpd %xmm11, %xmm12
+ pshufd $221, %xmm13, %xmm10
+ por %xmm2, %xmm3
+
+/* pHL = pH - pHH; */
+ subpd %xmm12, %xmm13
+ pand %xmm5, %xmm10
+ movq _DOMAINRANGE(%rdx), %xmm5
+ movdqa %xmm10, %xmm4
+ addpd %xmm1, %xmm13
+ pcmpgtd %xmm5, %xmm4
+ pcmpeqd %xmm5, %xmm10
+ por %xmm10, %xmm4
+ movq _jIndexMask(%rdx), %xmm6
+ por %xmm4, %xmm3
+ movmskps %xmm3, %eax
+
+/* j = Lo(pHH)&0x0000007f */
+ pand %xmm7, %xmm6
+ movq _iOne(%rdx), %xmm3
+
+/* _n = Lo(pHH);
+ _n = _n & 0xffffff80;
+ _n = _n >> 7;
+ Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
+ */
+ pslld $13, %xmm7
+ paddd %xmm3, %xmm7
+ pslld $4, %xmm6
+ movups _cev_1(%rdx), %xmm3
+ movaps %xmm13, %xmm4
+ mulpd %xmm13, %xmm3
+
+/* T1 = ((double*)exp2_tbl)[ 2*j ] */
+ movd %xmm6, %r10d
+ pshufd $80, %xmm7, %xmm0
+ andps _ifff0000000000000(%rdx), %xmm0
+ addpd _cev_2(%rdx), %xmm3
+ mulpd %xmm13, %xmm3
+ addpd _cev_3(%rdx), %xmm3
+ mulpd %xmm13, %xmm3
+ movslq %r10d, %r10
+ andl $3, %eax
+ pextrd $1, %xmm6, %r11d
+ movslq %r11d, %r11
+ addpd _cev_4(%rdx), %xmm3
+ movsd 36416(%rdx,%r10), %xmm2
+ movhpd 36416(%rdx,%r11), %xmm2
+ mulpd %xmm2, %xmm0
+ mulpd %xmm3, %xmm13
+ mulpd %xmm0, %xmm4
+ addpd _cev_5(%rdx), %xmm13
+ mulpd %xmm4, %xmm13
+ addpd %xmm13, %xmm0
+ jne .LBL_1_3
+
+.LBL_1_2:
+ cfi_remember_state
+ movups 208(%rsp), %xmm8
+ movups 176(%rsp), %xmm9
+ movups 160(%rsp), %xmm10
+ movups 144(%rsp), %xmm11
+ movups 112(%rsp), %xmm12
+ movups 96(%rsp), %xmm13
+ movups 80(%rsp), %xmm14
+ movups 48(%rsp), %xmm15
+ movq %rbp, %rsp
+ cfi_def_cfa_register (%rsp)
+ popq %rbp
+ cfi_adjust_cfa_offset (-8)
+ cfi_restore (%rbp)
+ ret
+
+.LBL_1_3:
+ cfi_restore_state
+ movups (%rsp), %xmm1
+ movups %xmm1, 64(%rsp)
+ movups %xmm9, 128(%rsp)
+ movups %xmm0, 192(%rsp)
+ je .LBL_1_2
+
+ xorb %cl, %cl
+ xorl %edx, %edx
+ movq %rsi, 8(%rsp)
+ movq %rdi, (%rsp)
+ movq %r12, 40(%rsp)
+ cfi_offset_rel_rsp (12, 40)
+ movb %cl, %r12b
+ movq %r13, 32(%rsp)
+ cfi_offset_rel_rsp (13, 32)
+ movl %eax, %r13d
+ movq %r14, 24(%rsp)
+ cfi_offset_rel_rsp (14, 24)
+ movl %edx, %r14d
+ movq %r15, 16(%rsp)
+ cfi_offset_rel_rsp (15, 16)
+ cfi_remember_state
+
+.LBL_1_6:
+ btl %r14d, %r13d
+ jc .LBL_1_12
+
+.LBL_1_7:
+ lea 1(%r14), %esi
+ btl %esi, %r13d
+ jc .LBL_1_10
+
+.LBL_1_8:
+ incb %r12b
+ addl $2, %r14d
+ cmpb $16, %r12b
+ jb .LBL_1_6
+
+ movq 8(%rsp), %rsi
+ movq (%rsp), %rdi
+ movq 40(%rsp), %r12
+ cfi_restore (%r12)
+ movq 32(%rsp), %r13
+ cfi_restore (%r13)
+ movq 24(%rsp), %r14
+ cfi_restore (%r14)
+ movq 16(%rsp), %r15
+ cfi_restore (%r15)
+ movups 192(%rsp), %xmm0
+ jmp .LBL_1_2
+
+.LBL_1_10:
+ cfi_restore_state
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ movsd 72(%rsp,%r15), %xmm0
+ movsd 136(%rsp,%r15), %xmm1
+
+ call pow@PLT
+
+ movsd %xmm0, 200(%rsp,%r15)
+ jmp .LBL_1_8
+
+.LBL_1_12:
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ movsd 64(%rsp,%r15), %xmm0
+ movsd 128(%rsp,%r15), %xmm1
+
+ call pow@PLT
+
+ movsd %xmm0, 192(%rsp,%r15)
+ jmp .LBL_1_7
+
+END (_ZGVbN2vv_pow_sse4)
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S
new file mode 100644
index 0000000000..21e3070a42
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S
@@ -0,0 +1,38 @@
+/* Multiple versions of vectorized pow.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include <init-arch.h>
+
+ .text
+ENTRY (_ZGVdN4vv_pow)
+ .type _ZGVdN4vv_pow, @gnu_indirect_function
+ cmpl $0, KIND_OFFSET+__cpu_features(%rip)
+ jne 1f
+ call __init_cpu_features
+1: leaq _ZGVdN4vv_pow_avx2(%rip), %rax
+ testl $bit_AVX2_Usable, __cpu_features+FEATURE_OFFSET+index_AVX2_Usable(%rip)
+ jz 2f
+ ret
+2: leaq _ZGVdN4vv_pow_sse_wrapper(%rip), %rax
+ ret
+END (_ZGVdN4vv_pow)
+libmvec_hidden_def (_ZGVdN4vv_pow)
+
+#define _ZGVdN4vv_pow _ZGVdN4vv_pow_sse_wrapper
+#include "../svml_d_pow4_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S
new file mode 100644
index 0000000000..f1f1f35ca2
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core_avx2.S
@@ -0,0 +1,387 @@
+/* Function pow vectorized with AVX2.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include "svml_d_pow_data.h"
+
+ .text
+ENTRY (_ZGVdN4vv_pow_avx2)
+/*
+ ALGORITHM DESCRIPTION:
+
+ 1) Calculating log2|x|
+ Here we use the following formula.
+ Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
+ Let C ~= 1/ln(2),
+ Rcp1 ~= 1/X1, X2=Rcp1*X1,
+ Rcp2 ~= 1/X2, X3=Rcp2*X2,
+ Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
+ Then
+ log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
+ log2(X1*Rcp1*Rcp2*Rcp3C/C),
+ where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
+
+ The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
+ Rcp3C, log2(C/Rcp3C) are taken from tables.
+ Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
+ is exactly represented in target precision.
+
+ log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
+ = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
+ = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
+ = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
+ where cq = X1*Rcp1*Rcp2*Rcp3C-C,
+ a1=1/(C*ln(2))-1 is small,
+ a2=1/(2*C^2*ln2),
+ a3=1/(3*C^3*ln2),
+ ...
+ We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
+
+ 2) Calculation of y*(HH+HL+HLL).
+ Split y into YHi+YLo.
+ Get high PH and medium PL parts of y*log2|x|.
+ Get low PLL part of y*log2|x|.
+ Now we have PH+PL+PLL ~= y*log2|x|.
+
+ 3) Calculation of 2^(PH+PL+PLL).
+ Mathematical idea of computing 2^(PH+PL+PLL) is the following.
+ Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
+ where expK=7 in this implementation, N and j are integers,
+ 0<=j<=2^expK-1, |Z|<2^(-expK-1).
+ Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
+ where 2^(j/2^expK) is stored in a table, and
+ 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
+
+ We compute 2^(PH+PL+PLL) as follows.
+ Break PH into PHH + PHL, where PHH = N + j/2^expK.
+ Z = PHL + PL + PLL
+ Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
+ Get 2^(j/2^expK) from table in the form THI+TLO.
+ Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
+
+ Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
+ ResHi := THI
+ ResLo := THI * Exp2Poly + TLO
+
+ Get exponent ERes of the result:
+ Res := ResHi + ResLo:
+ Result := ex(Res) + N. */
+
+ pushq %rbp
+ cfi_adjust_cfa_offset (8)
+ cfi_rel_offset (%rbp, 0)
+ movq %rsp, %rbp
+ cfi_def_cfa_register (%rbp)
+ andq $-64, %rsp
+ subq $448, %rsp
+ movq __svml_dpow_data@GOTPCREL(%rip), %rax
+ vmovups %ymm11, 160(%rsp)
+ vmovups %ymm8, 224(%rsp)
+ vmovups %ymm10, 352(%rsp)
+ vmovups %ymm9, 384(%rsp)
+ vmovups %ymm13, 288(%rsp)
+ vmovapd %ymm1, %ymm11
+ vxorpd %ymm1, %ymm1, %ymm1
+ vextracti128 $1, %ymm0, %xmm5
+ vshufps $221, %xmm5, %xmm0, %xmm5
+
+/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
+ vandps _iIndexMask(%rax), %xmm5, %xmm3
+ vpaddd _iIndexAdd(%rax), %xmm3, %xmm6
+ vpsrld $10, %xmm6, %xmm8
+
+/* Index for reciprocal table */
+ vpslld $3, %xmm8, %xmm9
+
+/* Index for log2 table */
+ vpslld $4, %xmm8, %xmm6
+
+/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
+ vandpd _iMantissaMask(%rax), %ymm0, %ymm4
+ vorpd _dbOne(%rax), %ymm4, %ymm13
+ vpcmpeqd %ymm4, %ymm4, %ymm4
+ vpcmpeqd %ymm8, %ymm8, %ymm8
+
+/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
+ vpsubd _i3fe7fe00(%rax), %xmm5, %xmm3
+ vpaddd _HIDELTA(%rax), %xmm5, %xmm5
+ vextracti128 $1, %ymm11, %xmm7
+ vshufps $221, %xmm7, %xmm11, %xmm2
+ vpand _ABSMASK(%rax), %xmm2, %xmm10
+ vpcmpeqd %ymm2, %ymm2, %ymm2
+ vgatherdpd %ymm2, 11712(%rax,%xmm9), %ymm1
+ vmovups _LORANGE(%rax), %xmm7
+ vxorpd %ymm2, %ymm2, %ymm2
+ vgatherdpd %ymm4, 19968(%rax,%xmm6), %ymm2
+ vxorpd %ymm4, %ymm4, %ymm4
+ vgatherdpd %ymm8, 19976(%rax,%xmm6), %ymm4
+ vpsrad $20, %xmm3, %xmm6
+ vpaddd _i2p20_2p19(%rax), %xmm6, %xmm9
+ vpshufd $80, %xmm9, %xmm8
+ vpshufd $250, %xmm9, %xmm3
+
+/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
+ vandpd _iHighMask(%rax), %ymm13, %ymm9
+ vinserti128 $1, %xmm3, %ymm8, %ymm6
+ vandpd _iffffffff00000000(%rax), %ymm6, %ymm8
+
+/* r1 = x1*rcp1 */
+ vmulpd %ymm1, %ymm13, %ymm6
+ vsubpd %ymm9, %ymm13, %ymm3
+ vsubpd _db2p20_2p19(%rax), %ymm8, %ymm8
+
+/* cq = c+r1 */
+ vaddpd _LHN(%rax), %ymm6, %ymm13
+
+/* E = -r1+__fence(x1Hi*rcp1) */
+ vfmsub213pd %ymm6, %ymm1, %ymm9
+
+/* E=E+x1Lo*rcp1 */
+ vfmadd213pd %ymm9, %ymm1, %ymm3
+
+/* T = k + L1hi */
+ vaddpd %ymm2, %ymm8, %ymm1
+
+/* T_Rh = T + cq */
+ vaddpd %ymm13, %ymm1, %ymm8
+
+/* Rl = T-T_Rh; -> -Rh */
+ vsubpd %ymm8, %ymm1, %ymm6
+
+/* Rl=Rl+cq */
+ vaddpd %ymm6, %ymm13, %ymm1
+
+/* T_Rh_Eh = T_Rh + E */
+ vaddpd %ymm3, %ymm8, %ymm6
+
+/* cq = cq + E */
+ vaddpd %ymm3, %ymm13, %ymm13
+
+/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
+ vsubpd %ymm6, %ymm8, %ymm9
+
+/* HLL+=E; -> El */
+ vaddpd %ymm9, %ymm3, %ymm2
+
+/* HLL+=Rl */
+ vaddpd %ymm1, %ymm2, %ymm8
+
+/* HLL+=L1lo */
+ vaddpd %ymm4, %ymm8, %ymm4
+ vmovupd _clv_2(%rax), %ymm8
+
+/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
+ vfmadd213pd _clv_3(%rax), %ymm13, %ymm8
+ vfmadd213pd _clv_4(%rax), %ymm13, %ymm8
+ vfmadd213pd _clv_5(%rax), %ymm13, %ymm8
+ vfmadd213pd _clv_6(%rax), %ymm13, %ymm8
+ vfmadd213pd _clv_7(%rax), %ymm13, %ymm8
+ vfmadd213pd %ymm4, %ymm13, %ymm8
+
+/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
+ vaddpd %ymm8, %ymm6, %ymm9
+
+/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
+ vandpd _iHighMask(%rax), %ymm9, %ymm2
+
+/*
+ 2^(y*(HH+HL+HLL)) starts here:
+ yH = y; Lo(yH)&=0xf8000000;
+ */
+ vandpd _iHighMask(%rax), %ymm11, %ymm1
+
+/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
+ vsubpd %ymm6, %ymm9, %ymm13
+
+/* HL = T_Rh_Eh_HLLhi-HH */
+ vsubpd %ymm2, %ymm9, %ymm4
+
+/* pH = yH*HH */
+ vmulpd %ymm2, %ymm1, %ymm9
+
+/* HLL = HLL - HLLhi */
+ vsubpd %ymm13, %ymm8, %ymm6
+
+/* yL = y-yH */
+ vsubpd %ymm1, %ymm11, %ymm8
+ vextracti128 $1, %ymm9, %xmm3
+ vshufps $221, %xmm3, %xmm9, %xmm13
+ vpand _ABSMASK(%rax), %xmm13, %xmm3
+ vpcmpgtd %xmm5, %xmm7, %xmm13
+ vpcmpgtd _INF(%rax), %xmm10, %xmm7
+ vpcmpeqd _INF(%rax), %xmm10, %xmm10
+ vpor %xmm10, %xmm7, %xmm7
+ vpor %xmm7, %xmm13, %xmm5
+
+/* pL=yL*HL+yH*HL; pL+=yL*HH */
+ vmulpd %ymm4, %ymm8, %ymm7
+ vpcmpgtd _DOMAINRANGE(%rax), %xmm3, %xmm13
+ vpcmpeqd _DOMAINRANGE(%rax), %xmm3, %xmm10
+ vpor %xmm10, %xmm13, %xmm3
+ vpor %xmm3, %xmm5, %xmm13
+ vfmadd213pd %ymm7, %ymm4, %ymm1
+
+/* pLL = y*HLL;
+ pHH = pH + *(double*)&db2p45_2p44
+ */
+ vaddpd _db2p45_2p44(%rax), %ymm9, %ymm7
+ vmovmskps %xmm13, %ecx
+ vfmadd213pd %ymm1, %ymm2, %ymm8
+
+/* t=pL+pLL; t+=pHL */
+ vfmadd231pd %ymm11, %ymm6, %ymm8
+ vextracti128 $1, %ymm7, %xmm1
+ vshufps $136, %xmm1, %xmm7, %xmm10
+
+/* _n = Lo(pHH);
+ _n = _n & 0xffffff80;
+ _n = _n >> 7;
+ Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
+ */
+ vpslld $13, %xmm10, %xmm2
+ vpaddd _iOne(%rax), %xmm2, %xmm13
+ vpshufd $80, %xmm13, %xmm4
+ vpshufd $250, %xmm13, %xmm1
+
+/* j = Lo(pHH)&0x0000007f */
+ vandps _jIndexMask(%rax), %xmm10, %xmm3
+
+/* T1 = ((double*)exp2_tbl)[ 2*j ] */
+ vpcmpeqd %ymm10, %ymm10, %ymm10
+ vpslld $4, %xmm3, %xmm5
+
+/* pHH = pHH - *(double*)&db2p45_2p44 */
+ vsubpd _db2p45_2p44(%rax), %ymm7, %ymm7
+
+/* pHL = pH - pHH */
+ vsubpd %ymm7, %ymm9, %ymm9
+ vaddpd %ymm9, %ymm8, %ymm6
+ vinserti128 $1, %xmm1, %ymm4, %ymm2
+ vxorpd %ymm1, %ymm1, %ymm1
+ vgatherdpd %ymm10, 36416(%rax,%xmm5), %ymm1
+ vandpd _ifff0000000000000(%rax), %ymm2, %ymm13
+ vmovupd _cev_1(%rax), %ymm2
+ vmulpd %ymm1, %ymm13, %ymm1
+ vfmadd213pd _cev_2(%rax), %ymm6, %ymm2
+ vmulpd %ymm6, %ymm1, %ymm8
+ vfmadd213pd _cev_3(%rax), %ymm6, %ymm2
+ vfmadd213pd _cev_4(%rax), %ymm6, %ymm2
+ vfmadd213pd _cev_5(%rax), %ymm6, %ymm2
+ vfmadd213pd %ymm1, %ymm8, %ymm2
+ testl %ecx, %ecx
+ jne .LBL_1_3
+
+.LBL_1_2:
+ cfi_remember_state
+ vmovups 224(%rsp), %ymm8
+ vmovups 384(%rsp), %ymm9
+ vmovups 352(%rsp), %ymm10
+ vmovups 160(%rsp), %ymm11
+ vmovups 288(%rsp), %ymm13
+ vmovdqa %ymm2, %ymm0
+ movq %rbp, %rsp
+ cfi_def_cfa_register (%rsp)
+ popq %rbp
+ cfi_adjust_cfa_offset (-8)
+ cfi_restore (%rbp)
+ ret
+
+.LBL_1_3:
+ cfi_restore_state
+ vmovupd %ymm0, 192(%rsp)
+ vmovupd %ymm11, 256(%rsp)
+ vmovupd %ymm2, 320(%rsp)
+ je .LBL_1_2
+
+ xorb %dl, %dl
+ xorl %eax, %eax
+ vmovups %ymm12, 64(%rsp)
+ vmovups %ymm14, 32(%rsp)
+ vmovups %ymm15, (%rsp)
+ movq %rsi, 104(%rsp)
+ movq %rdi, 96(%rsp)
+ movq %r12, 136(%rsp)
+ cfi_offset_rel_rsp (12, 136)
+ movb %dl, %r12b
+ movq %r13, 128(%rsp)
+ cfi_offset_rel_rsp (13, 128)
+ movl %ecx, %r13d
+ movq %r14, 120(%rsp)
+ cfi_offset_rel_rsp (14, 120)
+ movl %eax, %r14d
+ movq %r15, 112(%rsp)
+ cfi_offset_rel_rsp (15, 112)
+ cfi_remember_state
+
+.LBL_1_6:
+ btl %r14d, %r13d
+ jc .LBL_1_12
+
+.LBL_1_7:
+ lea 1(%r14), %esi
+ btl %esi, %r13d
+ jc .LBL_1_10
+
+.LBL_1_8:
+ incb %r12b
+ addl $2, %r14d
+ cmpb $16, %r12b
+ jb .LBL_1_6
+
+ vmovups 64(%rsp), %ymm12
+ vmovups 32(%rsp), %ymm14
+ vmovups (%rsp), %ymm15
+ vmovupd 320(%rsp), %ymm2
+ movq 104(%rsp), %rsi
+ movq 96(%rsp), %rdi
+ movq 136(%rsp), %r12
+ cfi_restore (%r12)
+ movq 128(%rsp), %r13
+ cfi_restore (%r13)
+ movq 120(%rsp), %r14
+ cfi_restore (%r14)
+ movq 112(%rsp), %r15
+ cfi_restore (%r15)
+ jmp .LBL_1_2
+
+.LBL_1_10:
+ cfi_restore_state
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 200(%rsp,%r15), %xmm0
+ vmovsd 264(%rsp,%r15), %xmm1
+ vzeroupper
+
+ call pow@PLT
+
+ vmovsd %xmm0, 328(%rsp,%r15)
+ jmp .LBL_1_8
+
+.LBL_1_12:
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 192(%rsp,%r15), %xmm0
+ vmovsd 256(%rsp,%r15), %xmm1
+ vzeroupper
+
+ call pow@PLT
+
+ vmovsd %xmm0, 320(%rsp,%r15)
+ jmp .LBL_1_7
+
+END (_ZGVdN4vv_pow_avx2)
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S
new file mode 100644
index 0000000000..3b11511e51
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S
@@ -0,0 +1,39 @@
+/* Multiple versions of vectorized pow.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include <init-arch.h>
+
+ .text
+ENTRY (_ZGVeN8vv_pow)
+ .type _ZGVeN8vv_pow, @gnu_indirect_function
+ cmpl $0, KIND_OFFSET+__cpu_features(%rip)
+ jne 1
+ call __init_cpu_features
+1: leaq _ZGVeN8vv_pow_skx(%rip), %rax
+ testl $bit_AVX512DQ_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512DQ_Usable(%rip)
+ jnz 3
+2: leaq _ZGVeN8vv_pow_knl(%rip), %rax
+ testl $bit_AVX512F_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512F_Usable(%rip)
+ jnz 3
+ leaq _ZGVeN8vv_pow_avx2_wrapper(%rip), %rax
+3: ret
+END (_ZGVeN8vv_pow)
+
+#define _ZGVeN8vv_pow _ZGVeN8vv_pow_avx2_wrapper
+#include "../svml_d_pow8_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S
new file mode 100644
index 0000000000..8dd89c8ebb
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core_avx512.S
@@ -0,0 +1,741 @@
+/* Function pow vectorized with AVX-512. KNL and SKX versions.
+ Copyright (C) 2014-2015 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+#include <sysdep.h>
+#include "svml_d_pow_data.h"
+#include "svml_d_wrapper_impl.h"
+
+/* ALGORITHM DESCRIPTION:
+
+ 1) Calculating log2|x|
+ Here we use the following formula.
+ Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2.
+ Let C ~= 1/ln(2),
+ Rcp1 ~= 1/X1, X2=Rcp1*X1,
+ Rcp2 ~= 1/X2, X3=Rcp2*X2,
+ Rcp3 ~= 1/X3, Rcp3C ~= C/X3.
+ Then
+ log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) +
+ log2(X1*Rcp1*Rcp2*Rcp3C/C),
+ where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small.
+
+ The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2),
+ Rcp3C, log2(C/Rcp3C) are taken from tables.
+ Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C
+ is exactly represented in target precision.
+
+ log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 =
+ = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... =
+ = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... =
+ = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ...,
+ where cq = X1*Rcp1*Rcp2*Rcp3C-C,
+ a1=1/(C*ln(2))-1 is small,
+ a2=1/(2*C^2*ln2),
+ a3=1/(3*C^3*ln2),
+ ...
+ We get 3 parts of log2 result: HH+HL+HLL ~= log2|x|.
+
+ 2) Calculation of y*(HH+HL+HLL).
+ Split y into YHi+YLo.
+ Get high PH and medium PL parts of y*log2|x|.
+ Get low PLL part of y*log2|x|.
+ Now we have PH+PL+PLL ~= y*log2|x|.
+
+ 3) Calculation of 2^(PH+PL+PLL).
+ Mathematical idea of computing 2^(PH+PL+PLL) is the following.
+ Let's represent PH+PL+PLL in the form N + j/2^expK + Z,
+ where expK=7 in this implementation, N and j are integers,
+ 0<=j<=2^expK-1, |Z|<2^(-expK-1).
+ Hence 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z,
+ where 2^(j/2^expK) is stored in a table, and
+ 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5.
+
+ We compute 2^(PH+PL+PLL) as follows.
+ Break PH into PHH + PHL, where PHH = N + j/2^expK.
+ Z = PHL + PL + PLL
+ Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5
+ Get 2^(j/2^expK) from table in the form THI+TLO.
+ Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly).
+
+ Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo:
+ ResHi := THI
+ ResLo := THI * Exp2Poly + TLO
+
+ Get exponent ERes of the result:
+ Res := ResHi + ResLo:
+ Result := ex(Res) + N. */
+
+ .text
+ENTRY (_ZGVeN8vv_pow_knl)
+#ifndef HAVE_AVX512_ASM_SUPPORT
+WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_pow
+#else
+ pushq %rbp
+ cfi_adjust_cfa_offset (8)
+ cfi_rel_offset (%rbp, 0)
+ movq %rsp, %rbp
+ cfi_def_cfa_register (%rbp)
+ andq $-64, %rsp
+ subq $1344, %rsp
+ vpsrlq $32, %zmm0, %zmm13
+ vmovaps %zmm1, %zmm12
+ movq __svml_dpow_data@GOTPCREL(%rip), %rax
+ movl $255, %edx
+ vpmovqd %zmm13, %ymm10
+ vpsrlq $32, %zmm12, %zmm14
+ kmovw %edx, %k1
+ movl $-1, %ecx
+ vpmovqd %zmm14, %ymm15
+
+/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
+ vmovups _dbOne(%rax), %zmm6
+
+/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
+ vmovaps %zmm10, %zmm5
+
+/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
+ vpsubd _i3fe7fe00(%rax), %zmm10, %zmm14{%k1}
+ vpandd _iIndexMask(%rax), %zmm10, %zmm5{%k1}
+ vpsrad $20, %zmm14, %zmm14{%k1}
+ vpxord %zmm9, %zmm9, %zmm9
+ vpaddd _HIDELTA(%rax), %zmm10, %zmm3{%k1}
+ vpaddd _iIndexAdd(%rax), %zmm5, %zmm5{%k1}
+ vpxord %zmm7, %zmm7, %zmm7
+ vpaddd _i2p20_2p19(%rax), %zmm14, %zmm14{%k1}
+ vpcmpd $1, _LORANGE(%rax), %zmm3, %k2{%k1}
+ vpsrld $10, %zmm5, %zmm5{%k1}
+ vpandd _ABSMASK(%rax), %zmm15, %zmm2{%k1}
+ vpbroadcastd %ecx, %zmm1{%k2}{z}
+
+/* Index for reciprocal table */
+ vpslld $3, %zmm5, %zmm8{%k1}
+ kxnorw %k2, %k2, %k2
+ vgatherdpd 11712(%rax,%ymm8), %zmm9{%k2}
+ vpmovzxdq %ymm14, %zmm10
+
+/* Index for log2 table */
+ vpslld $4, %zmm5, %zmm13{%k1}
+ kxnorw %k2, %k2, %k2
+ vpsllq $32, %zmm10, %zmm3
+ vpxord %zmm8, %zmm8, %zmm8
+ vpcmpd $5, _INF(%rax), %zmm2, %k3{%k1}
+ vpbroadcastd %ecx, %zmm4{%k3}{z}
+ vpternlogq $248, _iMantissaMask(%rax), %zmm0, %zmm6
+ kxnorw %k3, %k3, %k3
+ vpternlogq $168, _iffffffff00000000(%rax), %zmm10, %zmm3
+
+/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
+ vpandq _iHighMask(%rax), %zmm6, %zmm2
+ vgatherdpd 19976(%rax,%ymm13), %zmm8{%k2}
+ vpord %zmm4, %zmm1, %zmm11{%k1}
+ vsubpd _db2p20_2p19(%rax), %zmm3, %zmm1
+ vsubpd %zmm2, %zmm6, %zmm5
+
+/* r1 = x1*rcp1 */
+ vmulpd %zmm9, %zmm6, %zmm6
+ vgatherdpd 19968(%rax,%ymm13), %zmm7{%k3}
+
+/* cq = c+r1 */
+ vaddpd _LHN(%rax), %zmm6, %zmm4
+
+/* E = -r1+__fence(x1Hi*rcp1) */
+ vfmsub213pd %zmm6, %zmm9, %zmm2
+
+/* T = k + L1hi */
+ vaddpd %zmm7, %zmm1, %zmm7
+
+/* E=E+x1Lo*rcp1 */
+ vfmadd213pd %zmm2, %zmm9, %zmm5
+
+/* T_Rh = T + cq */
+ vaddpd %zmm4, %zmm7, %zmm3
+
+/* Rl = T-T_Rh; -> -Rh */
+ vsubpd %zmm3, %zmm7, %zmm9
+
+/* Rl=Rl+cq */
+ vaddpd %zmm9, %zmm4, %zmm6
+
+/* T_Rh_Eh = T_Rh + E */
+ vaddpd %zmm5, %zmm3, %zmm9
+
+/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
+ vsubpd %zmm9, %zmm3, %zmm2
+
+/* cq = cq + E; */
+ vaddpd %zmm5, %zmm4, %zmm4
+
+/* HLL+=E; -> El */
+ vaddpd %zmm2, %zmm5, %zmm1
+ vmovups _clv_2(%rax), %zmm5
+
+/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
+ vfmadd213pd _clv_3(%rax), %zmm4, %zmm5
+
+/* HLL+=Rl */
+ vaddpd %zmm6, %zmm1, %zmm7
+
+/* 2^(y*(HH+HL+HLL)) starts here:
+ yH = y; Lo(yH)&=0xf8000000
+ */
+ vpandq _iHighMask(%rax), %zmm12, %zmm6
+
+/* yL = y-yH */
+ vsubpd %zmm6, %zmm12, %zmm2
+ vfmadd213pd _clv_4(%rax), %zmm4, %zmm5
+
+/* HLL+=L1lo */
+ vaddpd %zmm8, %zmm7, %zmm8
+ vfmadd213pd _clv_5(%rax), %zmm4, %zmm5
+ vfmadd213pd _clv_6(%rax), %zmm4, %zmm5
+ vfmadd213pd _clv_7(%rax), %zmm4, %zmm5
+ vfmadd213pd %zmm8, %zmm4, %zmm5
+
+/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
+ vaddpd %zmm5, %zmm9, %zmm13
+
+/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
+ vsubpd %zmm9, %zmm13, %zmm10
+
+/* HLL = HLL - HLLhi */
+ vsubpd %zmm10, %zmm5, %zmm3
+
+/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
+ vpandq _iHighMask(%rax), %zmm13, %zmm5
+
+/* pH = yH*HH */
+ vmulpd %zmm5, %zmm6, %zmm1
+
+/* HL = T_Rh_Eh_HLLhi-HH */
+ vsubpd %zmm5, %zmm13, %zmm4
+ vpsrlq $32, %zmm1, %zmm14
+
+/* pLL = y*HLL;
+ pHH = pH + *(double*)&db2p45_2p44
+ */
+ vaddpd _db2p45_2p44(%rax), %zmm1, %zmm10
+ vpmovqd %zmm14, %ymm15
+ vpandd _ABSMASK(%rax), %zmm15, %zmm14{%k1}
+ vpcmpd $5, _DOMAINRANGE(%rax), %zmm14, %k3{%k1}
+
+/* T1 = ((double*)exp2_tbl)[ 2*j ] */
+ vpxord %zmm14, %zmm14, %zmm14
+ vpbroadcastd %ecx, %zmm13{%k3}{z}
+ vpord %zmm13, %zmm11, %zmm11{%k1}
+ vptestmd %zmm11, %zmm11, %k0{%k1}
+
+/* pL=yL*HL+yH*HL; pL+=yL*HH */
+ vmulpd %zmm4, %zmm2, %zmm11
+ kmovw %k0, %ecx
+ vfmadd213pd %zmm11, %zmm4, %zmm6
+
+/* pHH = pHH - *(double*)&db2p45_2p44 */
+ vsubpd _db2p45_2p44(%rax), %zmm10, %zmm11
+ vpmovqd %zmm10, %ymm4
+ movzbl %cl, %ecx
+
+/* _n = Lo(pHH);
+ _n = _n & 0xffffff80;
+ _n = _n >> 7;
+ Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
+ */
+ vpslld $13, %zmm4, %zmm7{%k1}
+
+/* j = Lo(pHH)&0x0000007f */
+ vpandd _jIndexMask(%rax), %zmm4, %zmm9{%k1}
+ vfmadd213pd %zmm6, %zmm5, %zmm2
+
+/* pHL = pH - pHH */
+ vsubpd %zmm11, %zmm1, %zmm1
+ vpaddd _iOne(%rax), %zmm7, %zmm7{%k1}
+
+/* t=pL+pLL; t+=pHL */
+ vfmadd231pd %zmm12, %zmm3, %zmm2
+ vpslld $4, %zmm9, %zmm9{%k1}
+ kxnorw %k1, %k1, %k1
+ vgatherdpd 36416(%rax,%ymm9), %zmm14{%k1}
+ vpmovzxdq %ymm7, %zmm8
+ vaddpd %zmm1, %zmm2, %zmm2
+ vmovups _cev_1(%rax), %zmm1
+ vpsllq $32, %zmm8, %zmm13
+ vpternlogq $168, _ifff0000000000000(%rax), %zmm8, %zmm13
+ vfmadd213pd _cev_2(%rax), %zmm2, %zmm1
+ vmulpd %zmm14, %zmm13, %zmm15
+ vfmadd213pd _cev_3(%rax), %zmm2, %zmm1
+ vmulpd %zmm2, %zmm15, %zmm3
+ vfmadd213pd _cev_4(%rax), %zmm2, %zmm1
+ vfmadd213pd _cev_5(%rax), %zmm2, %zmm1
+ vfmadd213pd %zmm15, %zmm3, %zmm1
+ testl %ecx, %ecx
+ jne .LBL_1_3
+
+.LBL_1_2:
+ cfi_remember_state
+ vmovaps %zmm1, %zmm0
+ movq %rbp, %rsp
+ cfi_def_cfa_register (%rsp)
+ popq %rbp
+ cfi_adjust_cfa_offset (-8)
+ cfi_restore (%rbp)
+ ret
+
+.LBL_1_3:
+ cfi_restore_state
+ vmovups %zmm0, 1152(%rsp)
+ vmovups %zmm12, 1216(%rsp)
+ vmovups %zmm1, 1280(%rsp)
+ je .LBL_1_2
+
+ xorb %dl, %dl
+ kmovw %k4, 1048(%rsp)
+ xorl %eax, %eax
+ kmovw %k5, 1040(%rsp)
+ kmovw %k6, 1032(%rsp)
+ kmovw %k7, 1024(%rsp)
+ vmovups %zmm16, 960(%rsp)
+ vmovups %zmm17, 896(%rsp)
+ vmovups %zmm18, 832(%rsp)
+ vmovups %zmm19, 768(%rsp)
+ vmovups %zmm20, 704(%rsp)
+ vmovups %zmm21, 640(%rsp)
+ vmovups %zmm22, 576(%rsp)
+ vmovups %zmm23, 512(%rsp)
+ vmovups %zmm24, 448(%rsp)
+ vmovups %zmm25, 384(%rsp)
+ vmovups %zmm26, 320(%rsp)
+ vmovups %zmm27, 256(%rsp)
+ vmovups %zmm28, 192(%rsp)
+ vmovups %zmm29, 128(%rsp)
+ vmovups %zmm30, 64(%rsp)
+ vmovups %zmm31, (%rsp)
+ movq %rsi, 1064(%rsp)
+ movq %rdi, 1056(%rsp)
+ movq %r12, 1096(%rsp)
+ cfi_offset_rel_rsp (12, 1096)
+ movb %dl, %r12b
+ movq %r13, 1088(%rsp)
+ cfi_offset_rel_rsp (13, 1088)
+ movl %ecx, %r13d
+ movq %r14, 1080(%rsp)
+ cfi_offset_rel_rsp (14, 1080)
+ movl %eax, %r14d
+ movq %r15, 1072(%rsp)
+ cfi_offset_rel_rsp (15, 1072)
+ cfi_remember_state
+
+.LBL_1_6:
+ btl %r14d, %r13d
+ jc .LBL_1_12
+
+.LBL_1_7:
+ lea 1(%r14), %esi
+ btl %esi, %r13d
+ jc .LBL_1_10
+
+.LBL_1_8:
+ addb $1, %r12b
+ addl $2, %r14d
+ cmpb $16, %r12b
+ jb .LBL_1_6
+
+ kmovw 1048(%rsp), %k4
+ movq 1064(%rsp), %rsi
+ kmovw 1040(%rsp), %k5
+ movq 1056(%rsp), %rdi
+ kmovw 1032(%rsp), %k6
+ movq 1096(%rsp), %r12
+ cfi_restore (%r12)
+ movq 1088(%rsp), %r13
+ cfi_restore (%r13)
+ kmovw 1024(%rsp), %k7
+ vmovups 960(%rsp), %zmm16
+ vmovups 896(%rsp), %zmm17
+ vmovups 832(%rsp), %zmm18
+ vmovups 768(%rsp), %zmm19
+ vmovups 704(%rsp), %zmm20
+ vmovups 640(%rsp), %zmm21
+ vmovups 576(%rsp), %zmm22
+ vmovups 512(%rsp), %zmm23
+ vmovups 448(%rsp), %zmm24
+ vmovups 384(%rsp), %zmm25
+ vmovups 320(%rsp), %zmm26
+ vmovups 256(%rsp), %zmm27
+ vmovups 192(%rsp), %zmm28
+ vmovups 128(%rsp), %zmm29
+ vmovups 64(%rsp), %zmm30
+ vmovups (%rsp), %zmm31
+ movq 1080(%rsp), %r14
+ cfi_restore (%r14)
+ movq 1072(%rsp), %r15
+ cfi_restore (%r15)
+ vmovups 1280(%rsp), %zmm1
+ jmp .LBL_1_2
+
+.LBL_1_10:
+ cfi_restore_state
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 1160(%rsp,%r15), %xmm0
+ vmovsd 1224(%rsp,%r15), %xmm1
+ call pow@PLT
+ vmovsd %xmm0, 1288(%rsp,%r15)
+ jmp .LBL_1_8
+
+.LBL_1_12:
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 1152(%rsp,%r15), %xmm0
+ vmovsd 1216(%rsp,%r15), %xmm1
+ call pow@PLT
+ vmovsd %xmm0, 1280(%rsp,%r15)
+ jmp .LBL_1_7
+
+#endif
+END (_ZGVeN8vv_pow_knl)
+
+ENTRY (_ZGVeN8vv_pow_skx)
+#ifndef HAVE_AVX512_ASM_SUPPORT
+WRAPPER_IMPL_AVX512_ff _ZGVdN4vv_pow
+#else
+ pushq %rbp
+ cfi_adjust_cfa_offset (8)
+ cfi_rel_offset (%rbp, 0)
+ movq %rsp, %rbp
+ cfi_def_cfa_register (%rbp)
+ andq $-64, %rsp
+ subq $1344, %rsp
+ vpsrlq $32, %zmm0, %zmm10
+ kxnorw %k1, %k1, %k1
+ kxnorw %k2, %k2, %k2
+ kxnorw %k3, %k3, %k3
+ vpmovqd %zmm10, %ymm7
+ movq __svml_dpow_data@GOTPCREL(%rip), %rax
+ vmovaps %zmm1, %zmm6
+ vpsrlq $32, %zmm6, %zmm13
+
+/* i = (((Hi(x) & 0x000ffe00) + 0x00000200) >> 10); -> i = (b1..b11 + 1) / 2 */
+ vpand _iIndexMask(%rax), %ymm7, %ymm15
+ vpaddd _HIDELTA(%rax), %ymm7, %ymm2
+
+/* k = Hi(x); k = k - 0x3fe7fe00; k = k >> 20 */
+ vpsubd _i3fe7fe00(%rax), %ymm7, %ymm7
+ vmovdqu _ABSMASK(%rax), %ymm4
+ vmovdqu _LORANGE(%rax), %ymm3
+
+/* x1 = x; Hi(x1) = (Hi(x1)&0x000fffff)|0x3ff00000 */
+ vmovups _dbOne(%rax), %zmm11
+ vmovdqu _INF(%rax), %ymm5
+ vpaddd _iIndexAdd(%rax), %ymm15, %ymm12
+ vpmovqd %zmm13, %ymm14
+ vpternlogq $248, _iMantissaMask(%rax), %zmm0, %zmm11
+ vpsrld $10, %ymm12, %ymm10
+ vpsrad $20, %ymm7, %ymm13
+
+/* Index for reciprocal table */
+ vpslld $3, %ymm10, %ymm8
+
+/* Index for log2 table */
+ vpslld $4, %ymm10, %ymm1
+ vpcmpgtd %ymm2, %ymm3, %ymm3
+ vpand %ymm4, %ymm14, %ymm2
+ vpaddd _i2p20_2p19(%rax), %ymm13, %ymm14
+ vpmovzxdq %ymm14, %zmm15
+ vpsllq $32, %zmm15, %zmm7
+ vpternlogq $168, _iffffffff00000000(%rax), %zmm15, %zmm7
+ vsubpd _db2p20_2p19(%rax), %zmm7, %zmm13
+ vpxord %zmm9, %zmm9, %zmm9
+ vgatherdpd 11712(%rax,%ymm8), %zmm9{%k1}
+
+/* T1 = ((double*)exp2_tbl)[ 2*j ] */
+ kxnorw %k1, %k1, %k1
+ vpxord %zmm12, %zmm12, %zmm12
+ vpxord %zmm8, %zmm8, %zmm8
+ vgatherdpd 19968(%rax,%ymm1), %zmm12{%k2}
+ vgatherdpd 19976(%rax,%ymm1), %zmm8{%k3}
+ vmovups _iHighMask(%rax), %zmm1
+
+/* x1Hi=x1; Lo(x1Hi)&=0xf8000000; x1Lo = x1-x1Hi */
+ vandpd %zmm1, %zmm11, %zmm10
+ vsubpd %zmm10, %zmm11, %zmm15
+
+/* r1 = x1*rcp1 */
+ vmulpd %zmm9, %zmm11, %zmm11
+
+/* E = -r1+__fence(x1Hi*rcp1) */
+ vfmsub213pd %zmm11, %zmm9, %zmm10
+
+/* cq = c+r1 */
+ vaddpd _LHN(%rax), %zmm11, %zmm14
+
+/* E=E+x1Lo*rcp1 */
+ vfmadd213pd %zmm10, %zmm9, %zmm15
+
+/* T = k + L1hi */
+ vaddpd %zmm12, %zmm13, %zmm9
+
+/* T_Rh = T + cq */
+ vaddpd %zmm14, %zmm9, %zmm11
+
+/* T_Rh_Eh = T_Rh + E */
+ vaddpd %zmm15, %zmm11, %zmm13
+
+/* Rl = T-T_Rh; -> -Rh */
+ vsubpd %zmm11, %zmm9, %zmm12
+
+/* HLL = T_Rh - T_Rh_Eh; -> -Eh */
+ vsubpd %zmm13, %zmm11, %zmm9
+
+/* Rl=Rl+cq */
+ vaddpd %zmm12, %zmm14, %zmm10
+
+/* HLL+=E; -> El */
+ vaddpd %zmm9, %zmm15, %zmm7
+
+/* HLL+=Rl */
+ vaddpd %zmm10, %zmm7, %zmm12
+
+/* 2^(y*(HH+HL+HLL)) starts here:
+ yH = y; Lo(yH)&=0xf8000000
+ */
+ vandpd %zmm1, %zmm6, %zmm7
+
+/* HLL+=L1lo */
+ vaddpd %zmm8, %zmm12, %zmm12
+
+/* cq = cq + E */
+ vaddpd %zmm15, %zmm14, %zmm8
+ vmovups _clv_2(%rax), %zmm14
+
+/* HLL = HLL + (((((((a7)*cq+a6)*cq+a5)*cq+a4)*cq+a3)*cq+a2)*cq+a1)*cq */
+ vfmadd213pd _clv_3(%rax), %zmm8, %zmm14
+ vfmadd213pd _clv_4(%rax), %zmm8, %zmm14
+ vfmadd213pd _clv_5(%rax), %zmm8, %zmm14
+ vfmadd213pd _clv_6(%rax), %zmm8, %zmm14
+ vfmadd213pd _clv_7(%rax), %zmm8, %zmm14
+ vfmadd213pd %zmm12, %zmm8, %zmm14
+
+/* yL = y-yH */
+ vsubpd %zmm7, %zmm6, %zmm8
+
+/* T_Rh_Eh_HLLhi = T_Rh_Eh + HLL */
+ vaddpd %zmm14, %zmm13, %zmm15
+
+/* HH = T_Rh_Eh_HLLhi; Lo(HH)&=0xf8000000 */
+ vandpd %zmm1, %zmm15, %zmm11
+
+/* HLLhi = T_Rh_Eh_HLLhi - T_Rh_Eh */
+ vsubpd %zmm13, %zmm15, %zmm13
+
+/* pH = yH*HH */
+ vmulpd %zmm11, %zmm7, %zmm9
+
+/* HLL = HLL - HLLhi */
+ vsubpd %zmm13, %zmm14, %zmm12
+
+/* HL = T_Rh_Eh_HLLhi-HH */
+ vsubpd %zmm11, %zmm15, %zmm10
+ vpsrlq $32, %zmm9, %zmm1
+ vmovdqu _DOMAINRANGE(%rax), %ymm13
+ vpmovqd %zmm1, %ymm1
+ vpand %ymm4, %ymm1, %ymm1
+ vpcmpgtd %ymm5, %ymm2, %ymm4
+ vpcmpeqd %ymm5, %ymm2, %ymm5
+ vpternlogd $254, %ymm5, %ymm4, %ymm3
+ vpcmpgtd %ymm13, %ymm1, %ymm2
+ vpcmpeqd %ymm13, %ymm1, %ymm4
+ vpternlogd $254, %ymm4, %ymm2, %ymm3
+
+/* pLL = y*HLL */
+ vmovups _db2p45_2p44(%rax), %zmm2
+
+/* pHH = pH + *(double*)&db2p45_2p44 */
+ vaddpd %zmm2, %zmm9, %zmm1
+ vpmovqd %zmm1, %ymm5
+
+/* j = Lo(pHH)&0x0000007f */
+ vpand _jIndexMask(%rax), %ymm5, %ymm14
+ vpslld $4, %ymm14, %ymm15
+ vmovmskps %ymm3, %ecx
+
+/* pL=yL*HL+yH*HL; pL+=yL*HH */
+ vmulpd %zmm10, %zmm8, %zmm3
+ vfmadd213pd %zmm3, %zmm10, %zmm7
+ vfmadd213pd %zmm7, %zmm11, %zmm8
+
+/* _n = Lo(pHH)
+ _n = _n & 0xffffff80
+ _n = _n >> 7
+ Hi(_2n) = (0x3ff+_n)<<20; Lo(_2n) = 0; -> 2^n
+ */
+ vpslld $13, %ymm5, %ymm7
+
+/* t=pL+pLL; t+=pHL */
+ vfmadd231pd %zmm6, %zmm12, %zmm8
+ vpaddd _iOne(%rax), %ymm7, %ymm10
+ vpmovzxdq %ymm10, %zmm11
+ vpsllq $32, %zmm11, %zmm3
+ vpternlogq $168, _ifff0000000000000(%rax), %zmm11, %zmm3
+
+/* pHH = pHH - *(double*)&db2p45_2p44 */
+ vsubpd %zmm2, %zmm1, %zmm11
+ vmovups _cev_1(%rax), %zmm2
+
+/* pHL = pH - pHH */
+ vsubpd %zmm11, %zmm9, %zmm9
+ vaddpd %zmm9, %zmm8, %zmm8
+ vfmadd213pd _cev_2(%rax), %zmm8, %zmm2
+ vfmadd213pd _cev_3(%rax), %zmm8, %zmm2
+ vfmadd213pd _cev_4(%rax), %zmm8, %zmm2
+ vfmadd213pd _cev_5(%rax), %zmm8, %zmm2
+ vpxord %zmm4, %zmm4, %zmm4
+ vgatherdpd 36416(%rax,%ymm15), %zmm4{%k1}
+ vmulpd %zmm4, %zmm3, %zmm1
+ vmulpd %zmm8, %zmm1, %zmm12
+ vfmadd213pd %zmm1, %zmm12, %zmm2
+ testl %ecx, %ecx
+ jne .LBL_2_3
+
+.LBL_2_2:
+ cfi_remember_state
+ vmovaps %zmm2, %zmm0
+ movq %rbp, %rsp
+ cfi_def_cfa_register (%rsp)
+ popq %rbp
+ cfi_adjust_cfa_offset (-8)
+ cfi_restore (%rbp)
+ ret
+
+.LBL_2_3:
+ cfi_restore_state
+ vmovups %zmm0, 1152(%rsp)
+ vmovups %zmm6, 1216(%rsp)
+ vmovups %zmm2, 1280(%rsp)
+ je .LBL_2_2
+
+ xorb %dl, %dl
+ xorl %eax, %eax
+ kmovw %k4, 1048(%rsp)
+ kmovw %k5, 1040(%rsp)
+ kmovw %k6, 1032(%rsp)
+ kmovw %k7, 1024(%rsp)
+ vmovups %zmm16, 960(%rsp)
+ vmovups %zmm17, 896(%rsp)
+ vmovups %zmm18, 832(%rsp)
+ vmovups %zmm19, 768(%rsp)
+ vmovups %zmm20, 704(%rsp)
+ vmovups %zmm21, 640(%rsp)
+ vmovups %zmm22, 576(%rsp)
+ vmovups %zmm23, 512(%rsp)
+ vmovups %zmm24, 448(%rsp)
+ vmovups %zmm25, 384(%rsp)
+ vmovups %zmm26, 320(%rsp)
+ vmovups %zmm27, 256(%rsp)
+ vmovups %zmm28, 192(%rsp)
+ vmovups %zmm29, 128(%rsp)
+ vmovups %zmm30, 64(%rsp)
+ vmovups %zmm31, (%rsp)
+ movq %rsi, 1064(%rsp)
+ movq %rdi, 1056(%rsp)
+ movq %r12, 1096(%rsp)
+ cfi_offset_rel_rsp (12, 1096)
+ movb %dl, %r12b
+ movq %r13, 1088(%rsp)
+ cfi_offset_rel_rsp (13, 1088)
+ movl %ecx, %r13d
+ movq %r14, 1080(%rsp)
+ cfi_offset_rel_rsp (14, 1080)
+ movl %eax, %r14d
+ movq %r15, 1072(%rsp)
+ cfi_offset_rel_rsp (15, 1072)
+ cfi_remember_state
+
+.LBL_2_6:
+ btl %r14d, %r13d
+ jc .LBL_2_12
+
+.LBL_2_7:
+ lea 1(%r14), %esi
+ btl %esi, %r13d
+ jc .LBL_2_10
+
+.LBL_2_8:
+ incb %r12b
+ addl $2, %r14d
+ cmpb $16, %r12b
+ jb .LBL_2_6
+
+ kmovw 1048(%rsp), %k4
+ kmovw 1040(%rsp), %k5
+ kmovw 1032(%rsp), %k6
+ kmovw 1024(%rsp), %k7
+ vmovups 960(%rsp), %zmm16
+ vmovups 896(%rsp), %zmm17
+ vmovups 832(%rsp), %zmm18
+ vmovups 768(%rsp), %zmm19
+ vmovups 704(%rsp), %zmm20
+ vmovups 640(%rsp), %zmm21
+ vmovups 576(%rsp), %zmm22
+ vmovups 512(%rsp), %zmm23
+ vmovups 448(%rsp), %zmm24
+ vmovups 384(%rsp), %zmm25
+ vmovups 320(%rsp), %zmm26
+ vmovups 256(%rsp), %zmm27
+ vmovups 192(%rsp), %zmm28
+ vmovups 128(%rsp), %zmm29
+ vmovups 64(%rsp), %zmm30
+ vmovups (%rsp), %zmm31
+ vmovups 1280(%rsp), %zmm2
+ movq 1064(%rsp), %rsi
+ movq 1056(%rsp), %rdi
+ movq 1096(%rsp), %r12
+ cfi_restore (%r12)
+ movq 1088(%rsp), %r13
+ cfi_restore (%r13)
+ movq 1080(%rsp), %r14
+ cfi_restore (%r14)
+ movq 1072(%rsp), %r15
+ cfi_restore (%r15)
+ jmp .LBL_2_2
+
+.LBL_2_10:
+ cfi_restore_state
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 1224(%rsp,%r15), %xmm1
+ vzeroupper
+ vmovsd 1160(%rsp,%r15), %xmm0
+
+ call pow@PLT
+
+ vmovsd %xmm0, 1288(%rsp,%r15)
+ jmp .LBL_2_8
+
+.LBL_2_12:
+ movzbl %r12b, %r15d
+ shlq $4, %r15
+ vmovsd 1216(%rsp,%r15), %xmm1
+ vzeroupper
+ vmovsd 1152(%rsp,%r15), %xmm0
+
+ call pow@PLT
+
+ vmovsd %xmm0, 1280(%rsp,%r15)
+ jmp .LBL_2_7
+
+#endif
+END (_ZGVeN8vv_pow_skx)