| /* Function log 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_d_log_data.h" |
| #include "svml_d_wrapper_impl.h" |
| |
| .text |
| ENTRY (_ZGVeN8v_log_knl) |
| #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
| WRAPPER_IMPL_AVX512 _ZGVdN4v_log |
| #else |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| log(x) = -log(Rcp) + log(Rcp*x), |
| where Rcp ~ 1/x (accuracy ~9 bits, obtained by |
| rounding HW approximation to 1+9 mantissa bits) |
| |
| Reduced argument R=Rcp*x-1 is used to approximate log(1+R) as polynomial |
| |
| log(Rcp) = exponent_Rcp*log(2) + log(mantissa_Rcp) |
| -log(mantissa_Rcp) is obtained from a lookup table, |
| accessed by a 9-bit index |
| */ |
| 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_dlog_data@GOTPCREL(%rip), %rdx |
| movq $-1, %rax |
| |
| /* isolate exponent bits */ |
| vpsrlq $20, %zmm0, %zmm2 |
| vpsrlq $32, %zmm2, %zmm3 |
| vpxord %zmm2, %zmm2, %zmm2 |
| kxnorw %k3, %k3, %k3 |
| vmovups _Two10(%rdx), %zmm1 |
| vmovups _One(%rdx), %zmm9 |
| vpmovqd %zmm3, %ymm4 |
| |
| /* convert biased exponent to DP format */ |
| vcvtdq2pd %ymm4, %zmm13 |
| |
| /* preserve mantissa, set input exponent to 2^(-10) */ |
| vpternlogq $248, _ExpMask(%rdx), %zmm0, %zmm1 |
| vcmppd $17, _MinNorm(%rdx), %zmm0, %k1 |
| |
| /* reciprocal approximation good to at least 11 bits */ |
| vrcp28pd %zmm1, %zmm5 |
| vpbroadcastq %rax, %zmm6{%k1}{z} |
| vmovups _poly_coeff_3(%rdx), %zmm15 |
| vcmppd $22, _MaxNorm(%rdx), %zmm0, %k2 |
| vmovups _Bias1(%rdx), %zmm14 |
| |
| /* round reciprocal to nearest integer, will have 1+9 mantissa bits */ |
| vrndscalepd $8, %zmm5, %zmm11 |
| vpbroadcastq %rax, %zmm7{%k2}{z} |
| |
| /* argument reduction started: R = Mantissa*Rcp - 1 */ |
| vfmsub213pd %zmm9, %zmm11, %zmm1 |
| |
| /* calculate index for table lookup */ |
| vpsrlq $40, %zmm11, %zmm10 |
| vgatherqpd _LogRcp_lookup(%rdx,%zmm10), %zmm2{%k3} |
| vcmppd $30, _Threshold(%rdx), %zmm11, %k1 |
| |
| /* combine and get argument value range mask */ |
| vporq %zmm7, %zmm6, %zmm8 |
| |
| /* exponent*log(2.0) */ |
| vmovups _poly_coeff_1(%rdx), %zmm11 |
| vmulpd %zmm1, %zmm1, %zmm10 |
| vptestmq %zmm8, %zmm8, %k0 |
| vfmadd213pd _poly_coeff_4(%rdx), %zmm1, %zmm15 |
| kmovw %k0, %ecx |
| |
| /* polynomial computation */ |
| vfmadd213pd _poly_coeff_2(%rdx), %zmm1, %zmm11 |
| movzbl %cl, %ecx |
| vpbroadcastq %rax, %zmm12{%k1}{z} |
| vfmadd213pd %zmm15, %zmm10, %zmm11 |
| vpternlogq $248, _Bias(%rdx), %zmm12, %zmm14 |
| |
| /* |
| Table stores -log(0.5*mantissa) for larger mantissas, |
| adjust exponent accordingly |
| */ |
| vsubpd %zmm14, %zmm13, %zmm3 |
| |
| /* |
| reconstruction: |
| (exponent*log(2)) + (LogRcp + (R+poly)) |
| */ |
| vfmadd213pd %zmm1, %zmm10, %zmm11 |
| vaddpd %zmm2, %zmm11, %zmm1 |
| vfmadd132pd _L2(%rdx), %zmm1, %zmm3 |
| testl %ecx, %ecx |
| jne .LBL_1_3 |
| |
| .LBL_1_2: |
| cfi_remember_state |
| vmovaps %zmm3, %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 %zmm3, 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), %zmm3 |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| vmovsd 1160(%rsp,%r15), %xmm0 |
| call JUMPTARGET(__log_finite) |
| vmovsd %xmm0, 1224(%rsp,%r15) |
| jmp .LBL_1_8 |
| |
| .LBL_1_12: |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| vmovsd 1152(%rsp,%r15), %xmm0 |
| call JUMPTARGET(__log_finite) |
| vmovsd %xmm0, 1216(%rsp,%r15) |
| jmp .LBL_1_7 |
| #endif |
| END (_ZGVeN8v_log_knl) |
| |
| ENTRY (_ZGVeN8v_log_skx) |
| #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
| WRAPPER_IMPL_AVX512 _ZGVdN4v_log |
| #else |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| log(x) = -log(Rcp) + log(Rcp*x), |
| where Rcp ~ 1/x (accuracy ~9 bits, |
| obtained by rounding HW approximation to 1+9 mantissa bits) |
| |
| Reduced argument R=Rcp*x-1 is used to approximate log(1+R) as polynomial |
| |
| log(Rcp) = exponent_Rcp*log(2) + log(mantissa_Rcp) |
| -log(mantissa_Rcp) is obtained from a lookup table, |
| accessed by a 9-bit index |
| */ |
| 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_dlog_data@GOTPCREL(%rip), %rax |
| vmovaps %zmm0, %zmm3 |
| kxnorw %k3, %k3, %k3 |
| vmovups _Two10(%rax), %zmm2 |
| vmovups _Threshold(%rax), %zmm14 |
| vmovups _One(%rax), %zmm11 |
| vcmppd $21, _MinNorm(%rax), %zmm3, %k1 |
| vcmppd $18, _MaxNorm(%rax), %zmm3, %k2 |
| |
| /* isolate exponent bits */ |
| vpsrlq $20, %zmm3, %zmm4 |
| |
| /* preserve mantissa, set input exponent to 2^(-10) */ |
| vpternlogq $248, _ExpMask(%rax), %zmm3, %zmm2 |
| vpbroadcastq .L_2il0floatpacket.12(%rip), %zmm1 |
| vpsrlq $32, %zmm4, %zmm6 |
| |
| /* reciprocal approximation good to at least 11 bits */ |
| vrcp14pd %zmm2, %zmm5 |
| |
| /* exponent*log(2.0) */ |
| vmovups _poly_coeff_1(%rax), %zmm4 |
| vpmovqd %zmm6, %ymm7 |
| |
| /* round reciprocal to nearest integer, will have 1+9 mantissa bits */ |
| vrndscalepd $8, %zmm5, %zmm0 |
| |
| /* calculate index for table lookup */ |
| vpsrlq $40, %zmm0, %zmm12 |
| |
| /* argument reduction started: R = Mantissa*Rcp - 1 */ |
| vfmsub213pd %zmm11, %zmm0, %zmm2 |
| vpmovqd %zmm12, %ymm13 |
| |
| /* polynomial computation */ |
| vfmadd213pd _poly_coeff_2(%rax), %zmm2, %zmm4 |
| vmovaps %zmm1, %zmm8 |
| vmovaps %zmm1, %zmm9 |
| vpxord %zmm5, %zmm5, %zmm5 |
| vgatherdpd _LogRcp_lookup(%rax,%ymm13), %zmm5{%k3} |
| vmovups _Bias1(%rax), %zmm13 |
| vpandnq %zmm3, %zmm3, %zmm8{%k1} |
| vcmppd $21, %zmm0, %zmm14, %k1 |
| vpandnq %zmm14, %zmm14, %zmm1{%k1} |
| vmulpd %zmm2, %zmm2, %zmm14 |
| vpternlogq $248, _Bias(%rax), %zmm1, %zmm13 |
| vmovups _poly_coeff_3(%rax), %zmm1 |
| vfmadd213pd _poly_coeff_4(%rax), %zmm2, %zmm1 |
| vfmadd213pd %zmm1, %zmm14, %zmm4 |
| |
| /* |
| reconstruction: |
| (exponent*log(2)) + (LogRcp + (R+poly)) |
| */ |
| vfmadd213pd %zmm2, %zmm14, %zmm4 |
| vaddpd %zmm5, %zmm4, %zmm2 |
| vpandnq %zmm3, %zmm3, %zmm9{%k2} |
| |
| /* combine and get argument value range mask */ |
| vorpd %zmm9, %zmm8, %zmm10 |
| vcmppd $3, %zmm10, %zmm10, %k0 |
| kmovw %k0, %ecx |
| |
| /* convert biased exponent to DP format */ |
| vcvtdq2pd %ymm7, %zmm15 |
| |
| /* |
| Table stores -log(0.5*mantissa) for larger mantissas, |
| adjust exponent accordingly |
| */ |
| vsubpd %zmm13, %zmm15, %zmm0 |
| vfmadd132pd _L2(%rax), %zmm2, %zmm0 |
| testl %ecx, %ecx |
| jne .LBL_2_3 |
| |
| .LBL_2_2: |
| cfi_remember_state |
| 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 %zmm3, 1152(%rsp) |
| vmovups %zmm0, 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), %zmm0 |
| 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 1160(%rsp,%r15), %xmm0 |
| vzeroupper |
| vmovsd 1160(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(__log_finite) |
| |
| vmovsd %xmm0, 1224(%rsp,%r15) |
| jmp .LBL_2_8 |
| |
| .LBL_2_12: |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| vmovsd 1152(%rsp,%r15), %xmm0 |
| vzeroupper |
| vmovsd 1152(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(__log_finite) |
| |
| vmovsd %xmm0, 1216(%rsp,%r15) |
| jmp .LBL_2_7 |
| #endif |
| END (_ZGVeN8v_log_skx) |
| |
| .section .rodata, "a" |
| .L_2il0floatpacket.12: |
| .long 0xffffffff,0xffffffff |
| .type .L_2il0floatpacket.12,@object |
