diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S | 357 |
1 files changed, 0 insertions, 357 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S deleted file mode 100644 index 683932f410..0000000000 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S +++ /dev/null @@ -1,357 +0,0 @@ -/* Function powf vectorized with AVX2. - Copyright (C) 2014-2017 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_s_powf_data.h" - - .text -ENTRY(_ZGVdN8vv_powf_avx2) -/* - ALGORITHM DESCRIPTION: - - We are using the next identity : pow(x,y) = 2^(y * log2(x)). - - 1) log2(x) calculation - 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), - ... - Log2 result is split by three parts: HH+HL+HLL - - 2) Calculation of y*log2(x) - 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^(y*log2(x)) - 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 - lea __VPACK_ODD_ind.6357.0.1(%rip), %rcx - vmovups %ymm14, 320(%rsp) - -/* hi bits */ - lea __VPACK_ODD_ind.6358.0.1(%rip), %rax - vmovups %ymm12, 256(%rsp) - vmovups %ymm9, 96(%rsp) - vmovups %ymm13, 224(%rsp) - vmovups %ymm15, 352(%rsp) - vmovups %ymm11, 384(%rsp) - vmovups %ymm10, 288(%rsp) - vmovups (%rcx), %ymm10 - vmovups %ymm8, 160(%rsp) - vmovdqa %ymm1, %ymm9 - movq __svml_spow_data@GOTPCREL(%rip), %rdx - vextractf128 $1, %ymm0, %xmm7 - vcvtps2pd %xmm0, %ymm14 - vcvtps2pd %xmm7, %ymm12 - vpsubd _NMINNORM(%rdx), %ymm0, %ymm7 - -/* preserve mantissa, set input exponent to 2^(-10) */ - vandpd _ExpMask(%rdx), %ymm14, %ymm3 - vandpd _ExpMask(%rdx), %ymm12, %ymm13 - -/* exponent bits selection */ - vpsrlq $20, %ymm12, %ymm12 - vpsrlq $20, %ymm14, %ymm14 - vextractf128 $1, %ymm9, %xmm2 - vcvtps2pd %xmm9, %ymm1 - vpand _ABSMASK(%rdx), %ymm9, %ymm8 - vcvtps2pd %xmm2, %ymm6 - vorpd _Two10(%rdx), %ymm3, %ymm2 - vorpd _Two10(%rdx), %ymm13, %ymm3 - -/* reciprocal approximation good to at least 11 bits */ - vcvtpd2ps %ymm2, %xmm5 - vcvtpd2ps %ymm3, %xmm15 - vrcpps %xmm5, %xmm4 - vrcpps %xmm15, %xmm11 - vcvtps2pd %xmm4, %ymm13 - vcvtps2pd %xmm11, %ymm4 - vpermps %ymm12, %ymm10, %ymm11 - -/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ - vroundpd $0, %ymm13, %ymm12 - vpermps %ymm14, %ymm10, %ymm5 - vroundpd $0, %ymm4, %ymm14 - vmovupd _One(%rdx), %ymm4 - -/* table lookup */ - vpsrlq $40, %ymm12, %ymm10 - vfmsub213pd %ymm4, %ymm12, %ymm2 - vfmsub213pd %ymm4, %ymm14, %ymm3 - vcmpgt_oqpd _Threshold(%rdx), %ymm12, %ymm12 - vxorpd %ymm4, %ymm4, %ymm4 - vandpd _Bias(%rdx), %ymm12, %ymm12 - -/* biased exponent in DP format */ - vcvtdq2pd %xmm11, %ymm13 - vpcmpeqd %ymm11, %ymm11, %ymm11 - vgatherqpd %ymm11, _Log2Rcp_lookup(%rdx,%ymm10), %ymm4 - vpsrlq $40, %ymm14, %ymm10 - vcmpgt_oqpd _Threshold(%rdx), %ymm14, %ymm14 - vpcmpeqd %ymm11, %ymm11, %ymm11 - vandpd _Bias(%rdx), %ymm14, %ymm14 - vcvtdq2pd %xmm5, %ymm15 - vxorpd %ymm5, %ymm5, %ymm5 - vgatherqpd %ymm11, _Log2Rcp_lookup(%rdx,%ymm10), %ymm5 - vorpd _Bias1(%rdx), %ymm12, %ymm11 - vorpd _Bias1(%rdx), %ymm14, %ymm10 - vsubpd %ymm11, %ymm15, %ymm11 - vsubpd %ymm10, %ymm13, %ymm14 - vmovupd _poly_coeff_4(%rdx), %ymm15 - vmovupd _poly_coeff_3(%rdx), %ymm13 - vmulpd %ymm3, %ymm3, %ymm10 - vfmadd213pd %ymm15, %ymm3, %ymm13 - vmovdqa %ymm15, %ymm12 - vfmadd231pd _poly_coeff_3(%rdx), %ymm2, %ymm12 - vmulpd %ymm2, %ymm2, %ymm15 - -/* reconstruction */ - vfmadd213pd %ymm3, %ymm10, %ymm13 - vfmadd213pd %ymm2, %ymm15, %ymm12 - vaddpd %ymm5, %ymm13, %ymm13 - vaddpd %ymm4, %ymm12, %ymm2 - vfmadd231pd _L2(%rdx), %ymm14, %ymm13 - vfmadd132pd _L2(%rdx), %ymm2, %ymm11 - vmulpd %ymm6, %ymm13, %ymm2 - vmulpd %ymm1, %ymm11, %ymm10 - vmulpd __dbInvLn2(%rdx), %ymm2, %ymm6 - vmulpd __dbInvLn2(%rdx), %ymm10, %ymm15 - -/* to round down; if dR is an integer we will get R = 1, which is ok */ - vsubpd __dbHALF(%rdx), %ymm6, %ymm3 - vsubpd __dbHALF(%rdx), %ymm15, %ymm1 - vaddpd __dbShifter(%rdx), %ymm3, %ymm13 - vaddpd __dbShifter(%rdx), %ymm1, %ymm14 - vsubpd __dbShifter(%rdx), %ymm13, %ymm12 - vmovups (%rax), %ymm1 - vsubpd __dbShifter(%rdx), %ymm14, %ymm11 - -/* [0..1) */ - vsubpd %ymm12, %ymm6, %ymm6 - vpermps %ymm10, %ymm1, %ymm3 - vpermps %ymm2, %ymm1, %ymm10 - vpcmpgtd _NMAXVAL(%rdx), %ymm7, %ymm4 - vpcmpgtd _INF(%rdx), %ymm8, %ymm1 - vpcmpeqd _NMAXVAL(%rdx), %ymm7, %ymm7 - vpcmpeqd _INF(%rdx), %ymm8, %ymm8 - vpor %ymm7, %ymm4, %ymm2 - vpor %ymm8, %ymm1, %ymm1 - vsubpd %ymm11, %ymm15, %ymm7 - vinsertf128 $1, %xmm10, %ymm3, %ymm10 - vpor %ymm1, %ymm2, %ymm3 - -/* iAbsX = iAbsX&iAbsMask */ - vandps __iAbsMask(%rdx), %ymm10, %ymm10 - -/* iRangeMask = (iAbsX>iDomainRange) */ - vpcmpgtd __iDomainRange(%rdx), %ymm10, %ymm4 - vpor %ymm4, %ymm3, %ymm5 - vmulpd __dbC1(%rdx), %ymm7, %ymm4 - vmovmskps %ymm5, %ecx - vmulpd __dbC1(%rdx), %ymm6, %ymm5 - -/* low K bits */ - vandps __lbLOWKBITS(%rdx), %ymm14, %ymm6 - -/* dpP= _dbT+lJ*T_ITEM_GRAN */ - vxorpd %ymm7, %ymm7, %ymm7 - vpcmpeqd %ymm1, %ymm1, %ymm1 - vandps __lbLOWKBITS(%rdx), %ymm13, %ymm2 - vxorpd %ymm10, %ymm10, %ymm10 - vpcmpeqd %ymm3, %ymm3, %ymm3 - vgatherqpd %ymm1, 13952(%rdx,%ymm6,8), %ymm7 - vgatherqpd %ymm3, 13952(%rdx,%ymm2,8), %ymm10 - vpsrlq $11, %ymm14, %ymm14 - vpsrlq $11, %ymm13, %ymm13 - vfmadd213pd %ymm7, %ymm4, %ymm7 - vfmadd213pd %ymm10, %ymm5, %ymm10 - -/* NB : including +/- sign for the exponent!! */ - vpsllq $52, %ymm14, %ymm8 - vpsllq $52, %ymm13, %ymm11 - vpaddq %ymm8, %ymm7, %ymm12 - vpaddq %ymm11, %ymm10, %ymm1 - vcvtpd2ps %ymm12, %xmm15 - vcvtpd2ps %ymm1, %xmm2 - vinsertf128 $1, %xmm2, %ymm15, %ymm1 - testl %ecx, %ecx - jne .LBL_1_3 - -.LBL_1_2: - cfi_remember_state - vmovups 160(%rsp), %ymm8 - vmovups 96(%rsp), %ymm9 - vmovups 288(%rsp), %ymm10 - vmovups 384(%rsp), %ymm11 - vmovups 256(%rsp), %ymm12 - vmovups 224(%rsp), %ymm13 - vmovups 320(%rsp), %ymm14 - vmovups 352(%rsp), %ymm15 - vmovdqa %ymm1, %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 - vmovups %ymm0, 64(%rsp) - vmovups %ymm9, 128(%rsp) - vmovups %ymm1, 192(%rsp) - je .LBL_1_2 - - xorb %dl, %dl - xorl %eax, %eax - movq %rsi, 8(%rsp) - movq %rdi, (%rsp) - movq %r12, 40(%rsp) - cfi_offset_rel_rsp (12, 40) - movb %dl, %r12b - movq %r13, 32(%rsp) - cfi_offset_rel_rsp (13, 32) - movl %ecx, %r13d - movq %r14, 24(%rsp) - cfi_offset_rel_rsp (14, 24) - movl %eax, %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) - vmovups 192(%rsp), %ymm1 - jmp .LBL_1_2 - -.LBL_1_10: - cfi_restore_state - movzbl %r12b, %r15d - vmovss 68(%rsp,%r15,8), %xmm0 - vmovss 132(%rsp,%r15,8), %xmm1 - vzeroupper - - call JUMPTARGET(__powf_finite) - - vmovss %xmm0, 196(%rsp,%r15,8) - jmp .LBL_1_8 - -.LBL_1_12: - movzbl %r12b, %r15d - vmovss 64(%rsp,%r15,8), %xmm0 - vmovss 128(%rsp,%r15,8), %xmm1 - vzeroupper - - call JUMPTARGET(__powf_finite) - - vmovss %xmm0, 192(%rsp,%r15,8) - jmp .LBL_1_7 - -END(_ZGVdN8vv_powf_avx2) - - .section .rodata, "a" -__VPACK_ODD_ind.6357.0.1: - .long 1 - .long 3 - .long 5 - .long 7 - .long 0 - .long 0 - .long 0 - .long 0 - .space 32, 0x00 -__VPACK_ODD_ind.6358.0.1: - .long 1 - .long 3 - .long 5 - .long 7 - .long 0 - .long 0 - .long 0 - .long 0 |