| /* Function expf vectorized with AVX-512. KNL and SKX versions. |
| Copyright (C) 2014-2018 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_expf_data.h" |
| #include "svml_s_wrapper_impl.h" |
| |
| .text |
| ENTRY (_ZGVeN16v_expf_knl) |
| #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
| WRAPPER_IMPL_AVX512 _ZGVdN8v_expf |
| #else |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| Argument representation: |
| M = rint(X*2^k/ln2) = 2^k*N+j |
| X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r |
| then -ln2/2^(k+1) < r < ln2/2^(k+1) |
| Alternatively: |
| M = trunc(X*2^k/ln2) |
| then 0 < r < ln2/2^k |
| |
| Result calculation: |
| exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) |
| = 2^N * 2^(j/2^k) * exp(r) |
| 2^N is calculated by bit manipulation |
| 2^(j/2^k) is computed from table lookup |
| exp(r) is approximated by polynomial |
| |
| The table lookup is skipped if k = 0. |
| For low accuracy approximation, exp(r) ~ 1 or 1+r. */ |
| |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-64, %rsp |
| subq $1280, %rsp |
| movq __svml_sexp_data@GOTPCREL(%rip), %rax |
| |
| /* r = x-n*ln2_hi/2^k */ |
| vmovaps %zmm0, %zmm6 |
| |
| /* compare against threshold */ |
| movl $-1, %ecx |
| vmovups __sInvLn2(%rax), %zmm3 |
| vmovups __sLn2hi(%rax), %zmm5 |
| |
| /* m = x*2^k/ln2 + shifter */ |
| vfmadd213ps __sShifter(%rax), %zmm0, %zmm3 |
| vmovups __sPC5(%rax), %zmm9 |
| |
| /* n = m - shifter = rint(x*2^k/ln2) */ |
| vsubps __sShifter(%rax), %zmm3, %zmm7 |
| |
| /* remove sign of x by "and" operation */ |
| vpandd __iAbsMask(%rax), %zmm0, %zmm1 |
| vpaddd __iBias(%rax), %zmm3, %zmm4 |
| vpcmpgtd __iDomainRange(%rax), %zmm1, %k1 |
| |
| /* compute 2^N with "shift" */ |
| vpslld $23, %zmm4, %zmm8 |
| vfnmadd231ps %zmm7, %zmm5, %zmm6 |
| vpbroadcastd %ecx, %zmm2{%k1}{z} |
| |
| /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ |
| vfnmadd132ps __sLn2lo(%rax), %zmm6, %zmm7 |
| |
| /* set mask for overflow/underflow */ |
| vptestmd %zmm2, %zmm2, %k0 |
| kmovw %k0, %ecx |
| |
| /* c5*r+c4 */ |
| vfmadd213ps __sPC4(%rax), %zmm7, %zmm9 |
| |
| /* (c5*r+c4)*r+c3 */ |
| vfmadd213ps __sPC3(%rax), %zmm7, %zmm9 |
| |
| /* ((c5*r+c4)*r+c3)*r+c2 */ |
| vfmadd213ps __sPC2(%rax), %zmm7, %zmm9 |
| |
| /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ |
| vfmadd213ps __sPC1(%rax), %zmm7, %zmm9 |
| |
| /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ |
| vfmadd213ps __sPC0(%rax), %zmm7, %zmm9 |
| |
| /* 2^N*exp(r) */ |
| vmulps %zmm9, %zmm8, %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 %zmm1, 1216(%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 1216(%rsp), %zmm1 |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| vmovss 1156(%rsp,%r15,8), %xmm0 |
| call JUMPTARGET(__expf_finite) |
| vmovss %xmm0, 1220(%rsp,%r15,8) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| vmovss 1152(%rsp,%r15,8), %xmm0 |
| call JUMPTARGET(__expf_finite) |
| vmovss %xmm0, 1216(%rsp,%r15,8) |
| jmp .LBL_1_7 |
| |
| #endif |
| END (_ZGVeN16v_expf_knl) |
| |
| ENTRY (_ZGVeN16v_expf_skx) |
| #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
| WRAPPER_IMPL_AVX512 _ZGVdN8v_expf |
| #else |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| Argument representation: |
| M = rint(X*2^k/ln2) = 2^k*N+j |
| X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r |
| then -ln2/2^(k+1) < r < ln2/2^(k+1) |
| Alternatively: |
| M = trunc(X*2^k/ln2) |
| then 0 < r < ln2/2^k |
| |
| Result calculation: |
| exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) |
| = 2^N * 2^(j/2^k) * exp(r) |
| 2^N is calculated by bit manipulation |
| 2^(j/2^k) is computed from table lookup |
| exp(r) is approximated by polynomial |
| |
| The table lookup is skipped if k = 0. |
| For low accuracy approximation, exp(r) ~ 1 or 1+r. */ |
| |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-64, %rsp |
| subq $1280, %rsp |
| movq __svml_sexp_data@GOTPCREL(%rip), %rax |
| |
| /* r = x-n*ln2_hi/2^k */ |
| vmovaps %zmm0, %zmm7 |
| |
| /* compare against threshold */ |
| vmovups .L_2il0floatpacket.13(%rip), %zmm3 |
| vmovups __sInvLn2(%rax), %zmm4 |
| vmovups __sShifter(%rax), %zmm1 |
| vmovups __sLn2hi(%rax), %zmm6 |
| vmovups __sPC5(%rax), %zmm10 |
| |
| /* m = x*2^k/ln2 + shifter */ |
| vfmadd213ps %zmm1, %zmm0, %zmm4 |
| |
| /* n = m - shifter = rint(x*2^k/ln2) */ |
| vsubps %zmm1, %zmm4, %zmm8 |
| vpaddd __iBias(%rax), %zmm4, %zmm5 |
| vfnmadd231ps %zmm8, %zmm6, %zmm7 |
| |
| /* compute 2^N with "shift" */ |
| vpslld $23, %zmm5, %zmm9 |
| |
| /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ |
| vfnmadd132ps __sLn2lo(%rax), %zmm7, %zmm8 |
| |
| /* c5*r+c4 */ |
| vfmadd213ps __sPC4(%rax), %zmm8, %zmm10 |
| |
| /* (c5*r+c4)*r+c3 */ |
| vfmadd213ps __sPC3(%rax), %zmm8, %zmm10 |
| |
| /* ((c5*r+c4)*r+c3)*r+c2 */ |
| vfmadd213ps __sPC2(%rax), %zmm8, %zmm10 |
| |
| /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ |
| vfmadd213ps __sPC1(%rax), %zmm8, %zmm10 |
| |
| /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ |
| vfmadd213ps __sPC0(%rax), %zmm8, %zmm10 |
| |
| /* 2^N*exp(r) */ |
| vmulps %zmm10, %zmm9, %zmm1 |
| |
| /* remove sign of x by "and" operation */ |
| vpandd __iAbsMask(%rax), %zmm0, %zmm2 |
| vpcmpd $2, __iDomainRange(%rax), %zmm2, %k1 |
| vpandnd %zmm2, %zmm2, %zmm3{%k1} |
| |
| /* set mask for overflow/underflow */ |
| vptestmd %zmm3, %zmm3, %k0 |
| kmovw %k0, %ecx |
| testl %ecx, %ecx |
| jne .LBL_2_3 |
| |
| .LBL_2_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_2_3: |
| cfi_restore_state |
| vmovups %zmm0, 1152(%rsp) |
| vmovups %zmm1, 1216(%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 1216(%rsp), %zmm1 |
| 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 |
| vmovss 1156(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| vmovss 1156(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(__expf_finite) |
| |
| vmovss %xmm0, 1220(%rsp,%r15,8) |
| jmp .LBL_2_8 |
| |
| .LBL_2_12: |
| movzbl %r12b, %r15d |
| vmovss 1152(%rsp,%r15,8), %xmm0 |
| vzeroupper |
| vmovss 1152(%rsp,%r15,8), %xmm0 |
| |
| call JUMPTARGET(__expf_finite) |
| |
| vmovss %xmm0, 1216(%rsp,%r15,8) |
| jmp .LBL_2_7 |
| |
| #endif |
| END (_ZGVeN16v_expf_skx) |
| |
| .section .rodata, "a" |
| .L_2il0floatpacket.13: |
| .long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff |
| .type .L_2il0floatpacket.13,@object |
