/* Function logf vectorized with AVX-512. KNL and SKX versions. Copyright (C) 2014-2016 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 . */ #include #include "svml_s_logf_data.h" #include "svml_s_wrapper_impl.h" .text ENTRY (_ZGVeN16v_logf_knl) #ifndef HAVE_AVX512_ASM_SUPPORT WRAPPER_IMPL_AVX512 _ZGVdN8v_logf #else /* ALGORITHM DESCRIPTION: log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3 log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3 R = mantissa_x - 1, if mantissa_x<4/3 R = 0.5*mantissa_x - 1, if mantissa_x>4/3 |R|< 1/3 log(1+R) is approximated as a polynomial: degree 9 for 1-ulp, degree 7 for 4-ulp, degree 3 for half-precision. */ 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_slog_data@GOTPCREL(%rip), %rax movl $-1, %ecx /* reduction: compute r,n */ vpsubd _iBrkValue(%rax), %zmm0, %zmm2 vmovups _sPoly_7(%rax), %zmm7 vpandd _iOffExpoMask(%rax), %zmm2, %zmm3 /* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */ vpsrad $23, %zmm2, %zmm4 /* check for working range, set special argument mask (denormals/zero/Inf/NaN) */ vpaddd _iHiDelta(%rax), %zmm0, %zmm1 /* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */ vpaddd _iBrkValue(%rax), %zmm3, %zmm6 vpcmpd $1, _iLoRange(%rax), %zmm1, %k1 vcvtdq2ps {rn-sae}, %zmm4, %zmm1 /* reduced argument R */ vsubps _sOne(%rax), %zmm6, %zmm8 vpbroadcastd %ecx, %zmm5{%k1}{z} /* polynomial evaluation starts here */ vfmadd213ps _sPoly_6(%rax), %zmm8, %zmm7 vptestmd %zmm5, %zmm5, %k0 kmovw %k0, %ecx vfmadd213ps _sPoly_5(%rax), %zmm8, %zmm7 vfmadd213ps _sPoly_4(%rax), %zmm8, %zmm7 vfmadd213ps _sPoly_3(%rax), %zmm8, %zmm7 vfmadd213ps _sPoly_2(%rax), %zmm8, %zmm7 vfmadd213ps _sPoly_1(%rax), %zmm8, %zmm7 vmulps %zmm8, %zmm7, %zmm9 /* polynomial evaluation end */ vfmadd213ps %zmm8, %zmm8, %zmm9 /* final reconstruction: add exponent_value*log2 to polynomial result */ vfmadd132ps _sLn2(%rax), %zmm9, %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 logf@PLT vmovss %xmm0, 1220(%rsp,%r15,8) jmp .LBL_1_8 .LBL_1_12: movzbl %r12b, %r15d vmovss 1152(%rsp,%r15,8), %xmm0 call logf@PLT vmovss %xmm0, 1216(%rsp,%r15,8) jmp .LBL_1_7 #endif END (_ZGVeN16v_logf_knl) ENTRY (_ZGVeN16v_logf_skx) #ifndef HAVE_AVX512_ASM_SUPPORT WRAPPER_IMPL_AVX512 _ZGVdN8v_logf #else /* ALGORITHM DESCRIPTION: log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3 log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3 R = mantissa_x - 1, if mantissa_x<4/3 R = 0.5*mantissa_x - 1, if mantissa_x>4/3 |R|< 1/3 log(1+R) is approximated as a polynomial: degree 9 for 1-ulp, degree 7 for 4-ulp, degree 3 for half-precision. */ 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_slog_data@GOTPCREL(%rip), %rax vmovups .L_2il0floatpacket.7(%rip), %zmm6 vmovups _iBrkValue(%rax), %zmm4 vmovups _sPoly_7(%rax), %zmm8 /* check for working range, set special argument mask (denormals/zero/Inf/NaN) */ vpaddd _iHiDelta(%rax), %zmm0, %zmm1 /* reduction: compute r,n */ vpsubd %zmm4, %zmm0, %zmm2 vpcmpd $5, _iLoRange(%rax), %zmm1, %k1 /* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */ vpsrad $23, %zmm2, %zmm5 vpandd _iOffExpoMask(%rax), %zmm2, %zmm3 /* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */ vpaddd %zmm4, %zmm3, %zmm7 /* reduced argument R */ vsubps _sOne(%rax), %zmm7, %zmm9 /* polynomial evaluation starts here */ vfmadd213ps _sPoly_6(%rax), %zmm9, %zmm8 vfmadd213ps _sPoly_5(%rax), %zmm9, %zmm8 vfmadd213ps _sPoly_4(%rax), %zmm9, %zmm8 vfmadd213ps _sPoly_3(%rax), %zmm9, %zmm8 vfmadd213ps _sPoly_2(%rax), %zmm9, %zmm8 vfmadd213ps _sPoly_1(%rax), %zmm9, %zmm8 vmulps %zmm9, %zmm8, %zmm10 /* polynomial evaluation end */ vfmadd213ps %zmm9, %zmm9, %zmm10 vpandnd %zmm1, %zmm1, %zmm6{%k1} vptestmd %zmm6, %zmm6, %k0 vcvtdq2ps {rn-sae}, %zmm5, %zmm1 kmovw %k0, %ecx /* final reconstruction: add exponent_value*log2 to polynomial result */ vfmadd132ps _sLn2(%rax), %zmm10, %zmm1 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 logf@PLT 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 logf@PLT vmovss %xmm0, 1216(%rsp,%r15,8) jmp .LBL_2_7 #endif END (_ZGVeN16v_logf_skx) .section .rodata, "a" .L_2il0floatpacket.7: .long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff .type .L_2il0floatpacket.7,@object