diff options
Diffstat (limited to 'sysdeps/x86_64/fpu')
25 files changed, 5586 insertions, 2 deletions
diff --git a/sysdeps/x86_64/fpu/Makefile b/sysdeps/x86_64/fpu/Makefile index aa9bdea668..20b22f07bd 100644 --- a/sysdeps/x86_64/fpu/Makefile +++ b/sysdeps/x86_64/fpu/Makefile @@ -15,7 +15,8 @@ libmvec-support += svml_d_cos2_core svml_d_cos4_core_avx \ svml_s_expf4_core svml_s_expf8_core_avx svml_s_expf8_core \ svml_s_expf16_core svml_s_expf_data svml_d_pow2_core \ svml_d_pow4_core_avx svml_d_pow4_core svml_d_pow8_core \ - svml_d_pow_data \ + svml_d_pow_data svml_s_powf4_core svml_s_powf8_core_avx \ + svml_s_powf8_core svml_s_powf16_core svml_s_powf_data \ init-arch endif diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions index e379c36125..1aa7937a30 100644 --- a/sysdeps/x86_64/fpu/Versions +++ b/sysdeps/x86_64/fpu/Versions @@ -9,5 +9,6 @@ libmvec { _ZGVbN4v_sinf; _ZGVcN8v_sinf; _ZGVdN8v_sinf; _ZGVeN16v_sinf; _ZGVbN4v_logf; _ZGVcN8v_logf; _ZGVdN8v_logf; _ZGVeN16v_logf; _ZGVbN4v_expf; _ZGVcN8v_expf; _ZGVdN8v_expf; _ZGVeN16v_expf; + _ZGVbN4vv_powf; _ZGVcN8vv_powf; _ZGVdN8vv_powf; _ZGVeN16vv_powf; } } diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 718e84c3f9..e5ec939225 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -1947,17 +1947,25 @@ ifloat: 4 ildouble: 2 ldouble: 2 +Function: "pow_vlen16": +float: 3 + Function: "pow_vlen2": double: 1 Function: "pow_vlen4": double: 1 +float: 3 Function: "pow_vlen4_avx2": double: 1 Function: "pow_vlen8": double: 1 +float: 3 + +Function: "pow_vlen8_avx2": +float: 3 Function: "sin": ildouble: 1 diff --git a/sysdeps/x86_64/fpu/multiarch/Makefile b/sysdeps/x86_64/fpu/multiarch/Makefile index b03b1380c0..8f3c457888 100644 --- a/sysdeps/x86_64/fpu/multiarch/Makefile +++ b/sysdeps/x86_64/fpu/multiarch/Makefile @@ -66,5 +66,7 @@ libmvec-sysdep_routines += svml_d_cos2_core_sse4 svml_d_cos4_core_avx2 \ 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_d_pow2_core_sse4 \ - svml_d_pow4_core_avx2 svml_d_pow8_core_avx512 + svml_d_pow4_core_avx2 svml_d_pow8_core_avx512 \ + svml_s_powf4_core_sse4 svml_s_powf8_core_avx2 \ + svml_s_powf16_core_avx512 endif diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core.S new file mode 100644 index 0000000000..a4ba4fbc04 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core.S @@ -0,0 +1,39 @@ +/* Multiple versions of vectorized powf. + 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 (_ZGVeN16vv_powf) + .type _ZGVeN16vv_powf, @gnu_indirect_function + cmpl $0, KIND_OFFSET+__cpu_features(%rip) + jne 1 + call __init_cpu_features +1: leaq _ZGVeN16vv_powf_skx(%rip), %rax + testl $bit_AVX512DQ_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512DQ_Usable(%rip) + jnz 3 +2: leaq _ZGVeN16vv_powf_knl(%rip), %rax + testl $bit_AVX512F_Usable, __cpu_features+FEATURE_OFFSET+index_AVX512F_Usable(%rip) + jnz 3 + leaq _ZGVeN16vv_powf_avx2_wrapper(%rip), %rax +3: ret +END (_ZGVeN16vv_powf) + +#define _ZGVeN16vv_powf _ZGVeN16vv_powf_avx2_wrapper +#include "../svml_s_powf16_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core_avx512.S new file mode 100644 index 0000000000..4b61974cb6 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core_avx512.S @@ -0,0 +1,653 @@ +/* Function powf 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_s_powf_data.h" +#include "svml_s_wrapper_impl.h" + +/* + 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. */ + + .text +ENTRY (_ZGVeN16vv_powf_knl) +#ifndef HAVE_AVX512_ASM_SUPPORT +WRAPPER_IMPL_AVX512_ff _ZGVdN8vv_powf +#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 + movq __svml_spow_data@GOTPCREL(%rip), %rdx + vmovaps %zmm1, %zmm9 + vshuff32x4 $238, %zmm0, %zmm0, %zmm7 + kxnorw %k3, %k3, %k3 + vcvtps2pd %ymm0, %zmm14 + vcvtps2pd %ymm7, %zmm10 + movl $-1, %eax + movq $-1, %rcx + vpandd _ABSMASK(%rdx), %zmm9, %zmm4 + vmovups _ExpMask(%rdx), %zmm6 + +/* exponent bits selection */ + vpsrlq $20, %zmm14, %zmm13 + vshuff32x4 $238, %zmm9, %zmm9, %zmm8 + vpcmpd $5, _INF(%rdx), %zmm4, %k2 + vpsrlq $32, %zmm13, %zmm15 + vcvtps2pd %ymm8, %zmm2 + vmovups _Two10(%rdx), %zmm4 + vpmovqd %zmm15, %ymm12 + vcvtps2pd %ymm9, %zmm1 + vpsubd _NMINNORM(%rdx), %zmm0, %zmm3 + vpbroadcastd %eax, %zmm8{%k2}{z} + vpcmpd $5, _NMAXVAL(%rdx), %zmm3, %k1 + +/* preserve mantissa, set input exponent to 2^(-10) */ + vmovaps %zmm6, %zmm3 + vpternlogq $248, %zmm6, %zmm10, %zmm4 + vpsrlq $20, %zmm10, %zmm10 + vpternlogq $234, _Two10(%rdx), %zmm14, %zmm3 + +/* reciprocal approximation good to at least 11 bits */ + vrcp28pd %zmm4, %zmm11 + vpsrlq $32, %zmm10, %zmm14 + vpbroadcastd %eax, %zmm7{%k1}{z} + kxnorw %k1, %k1, %k1 + vrcp28pd %zmm3, %zmm5 + vpmovqd %zmm14, %ymm6 + vshufi32x4 $68, %zmm6, %zmm12, %zmm13 + vmovups _One(%rdx), %zmm6 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + vrndscalepd $8, %zmm5, %zmm14 + +/* biased exponent in DP format */ + vshuff32x4 $238, %zmm13, %zmm13, %zmm5 + vrndscalepd $8, %zmm11, %zmm11 + vcmppd $30, _Threshold(%rdx), %zmm14, %k2 + vcvtdq2pd %ymm13, %zmm10 + vcvtdq2pd %ymm5, %zmm15 + +/* table lookup */ + vpsrlq $40, %zmm14, %zmm13 + vpxord %zmm5, %zmm5, %zmm5 + vgatherqpd _Log2Rcp_lookup(%rdx,%zmm13), %zmm5{%k3} + vfmsub213pd %zmm6, %zmm14, %zmm3 + vfmsub213pd %zmm6, %zmm11, %zmm4 + vcmppd $30, _Threshold(%rdx), %zmm11, %k3 + vpbroadcastq %rcx, %zmm14{%k2}{z} + +/* dpP= _dbT+lJ*T_ITEM_GRAN */ + kxnorw %k2, %k2, %k2 + vpsrlq $40, %zmm11, %zmm12 + vpxord %zmm6, %zmm6, %zmm6 + vpbroadcastq %rcx, %zmm11{%k3}{z} + kxnorw %k3, %k3, %k3 + vgatherqpd _Log2Rcp_lookup(%rdx,%zmm12), %zmm6{%k1} + vmovups _Bias1(%rdx), %zmm12 + vpternlogq $236, _Bias(%rdx), %zmm12, %zmm14 + vpternlogq $248, _Bias(%rdx), %zmm11, %zmm12 + vsubpd %zmm14, %zmm10, %zmm13 + vsubpd %zmm12, %zmm15, %zmm10 + vmovups _poly_coeff_3(%rdx), %zmm11 + vmovups _poly_coeff_4(%rdx), %zmm15 + vfmadd213pd %zmm15, %zmm4, %zmm11 + vmulpd %zmm4, %zmm4, %zmm12 + vmovaps %zmm15, %zmm14 + vmulpd %zmm3, %zmm3, %zmm15 + vfmadd231pd _poly_coeff_3(%rdx), %zmm3, %zmm14 + +/* reconstruction */ + vfmadd213pd %zmm4, %zmm12, %zmm11 + vfmadd213pd %zmm3, %zmm15, %zmm14 + vaddpd %zmm6, %zmm11, %zmm11 + vaddpd %zmm5, %zmm14, %zmm3 + vfmadd231pd _L2(%rdx), %zmm10, %zmm11 + vfmadd132pd _L2(%rdx), %zmm3, %zmm13 + vmulpd %zmm2, %zmm11, %zmm12 + vmulpd %zmm1, %zmm13, %zmm10 + vmulpd __dbInvLn2(%rdx), %zmm12, %zmm6 + +/* hi bits */ + vpsrlq $32, %zmm12, %zmm12 + vmulpd __dbInvLn2(%rdx), %zmm10, %zmm1 + +/* to round down; if dR is an integer we will get R = 1, which is ok */ + vsubpd __dbHALF(%rdx), %zmm6, %zmm4 + vpsrlq $32, %zmm10, %zmm11 + vpmovqd %zmm11, %ymm3 + vsubpd __dbHALF(%rdx), %zmm1, %zmm2 + vaddpd __dbShifter(%rdx), %zmm4, %zmm14 + vpmovqd %zmm12, %ymm4 + vshufi32x4 $68, %zmm4, %zmm3, %zmm5 + vpxord %zmm4, %zmm4, %zmm4 + vaddpd __dbShifter(%rdx), %zmm2, %zmm2 + +/* iAbsX = iAbsX&iAbsMask; */ + vpandd __iAbsMask(%rdx), %zmm5, %zmm11 + vpxord %zmm5, %zmm5, %zmm5 + vsubpd __dbShifter(%rdx), %zmm14, %zmm13 + +/* iRangeMask = (iAbsX>iDomainRange) */ + vpcmpgtd __iDomainRange(%rdx), %zmm11, %k1 + vsubpd __dbShifter(%rdx), %zmm2, %zmm15 + vpbroadcastd %eax, %zmm10{%k1}{z} + vpternlogd $254, %zmm8, %zmm7, %zmm10 + +/* [0..1) */ + vsubpd %zmm15, %zmm1, %zmm1 + +/* low K bits */ + vpandq __lbLOWKBITS(%rdx), %zmm14, %zmm11 + vgatherqpd 13952(%rdx,%zmm11,8), %zmm5{%k3} + vsubpd %zmm13, %zmm6, %zmm7 + vptestmd %zmm10, %zmm10, %k0 + vpandq __lbLOWKBITS(%rdx), %zmm2, %zmm10 + vmulpd __dbC1(%rdx), %zmm1, %zmm1 + vmulpd __dbC1(%rdx), %zmm7, %zmm3 + vpsrlq $11, %zmm2, %zmm8 + vpsrlq $11, %zmm14, %zmm2 + +/* NB : including +/- sign for the exponent!! */ + vpsllq $52, %zmm8, %zmm8 + kmovw %k0, %ecx + vpsllq $52, %zmm2, %zmm6 + vfmadd213pd %zmm5, %zmm3, %zmm5 + vgatherqpd 13952(%rdx,%zmm10,8), %zmm4{%k2} + vfmadd213pd %zmm4, %zmm1, %zmm4 + vpaddq %zmm6, %zmm5, %zmm10 + vcvtpd2ps %zmm10, %ymm12 + vpaddq %zmm8, %zmm4, %zmm7 + vcvtpd2ps %zmm7, %ymm11 + vshuff32x4 $68, %zmm12, %zmm11, %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 %zmm9, 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 + vmovss 1156(%rsp,%r15,8), %xmm0 + vmovss 1220(%rsp,%r15,8), %xmm1 + call powf@PLT + vmovss %xmm0, 1284(%rsp,%r15,8) + jmp .LBL_1_8 + +.LBL_1_12: + movzbl %r12b, %r15d + vmovss 1152(%rsp,%r15,8), %xmm0 + vmovss 1216(%rsp,%r15,8), %xmm1 + call powf@PLT + vmovss %xmm0, 1280(%rsp,%r15,8) + jmp .LBL_1_7 +#endif +END (_ZGVeN16vv_powf_knl) + +ENTRY (_ZGVeN16vv_powf_skx) +#ifndef HAVE_AVX512_ASM_SUPPORT +WRAPPER_IMPL_AVX512_ff _ZGVdN8vv_powf +#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 + movq __svml_spow_data@GOTPCREL(%rip), %rax + vextractf32x8 $1, %zmm1, %ymm14 + vextractf32x8 $1, %zmm0, %ymm15 + vpsubd _NMINNORM(%rax), %zmm0, %zmm9 + vmovups %zmm26, 1280(%rsp) + vmovups _ExpMask(%rax), %zmm6 + vpcmpd $1, _NMAXVAL(%rax), %zmm9, %k1 + vcvtps2pd %ymm0, %zmm5 + vcvtps2pd %ymm1, %zmm12 + kxnorw %k3, %k3, %k3 + +/* exponent bits selection */ + vpsrlq $20, %zmm5, %zmm3 + vpsrlq $32, %zmm3, %zmm2 + vpmovqd %zmm2, %ymm11 + vcvtps2pd %ymm14, %zmm13 + vmovups .L_2il0floatpacket.23(%rip), %zmm14 + vmovaps %zmm14, %zmm26 + vpandd _ABSMASK(%rax), %zmm1, %zmm8 + vpcmpd $1, _INF(%rax), %zmm8, %k2 + vpandnd %zmm9, %zmm9, %zmm26{%k1} + vmovups _Two10(%rax), %zmm9 + kxnorw %k1, %k1, %k1 + vcvtps2pd %ymm15, %zmm4 + vmovaps %zmm14, %zmm15 + +/* preserve mantissa, set input exponent to 2^(-10) */ + vpternlogq $248, %zmm6, %zmm4, %zmm9 + vpsrlq $20, %zmm4, %zmm4 + +/* reciprocal approximation good to at least 11 bits */ + vrcp14pd %zmm9, %zmm10 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + vrndscalepd $8, %zmm10, %zmm3 + vmovups _One(%rax), %zmm10 + vfmsub213pd %zmm10, %zmm3, %zmm9 + vpandnd %zmm8, %zmm8, %zmm15{%k2} + vmovaps %zmm6, %zmm8 + vpternlogq $234, _Two10(%rax), %zmm5, %zmm8 + vpsrlq $32, %zmm4, %zmm5 + vrcp14pd %zmm8, %zmm7 + vpmovqd %zmm5, %ymm6 + vrndscalepd $8, %zmm7, %zmm2 + vfmsub213pd %zmm10, %zmm2, %zmm8 + +/* table lookup */ + vpsrlq $40, %zmm2, %zmm10 + vinserti32x8 $1, %ymm6, %zmm11, %zmm4 + vpsrlq $40, %zmm3, %zmm11 + +/* biased exponent in DP format */ + vextracti32x8 $1, %zmm4, %ymm7 + vcvtdq2pd %ymm4, %zmm6 + vpmovqd %zmm10, %ymm4 + vpmovqd %zmm11, %ymm5 + vpxord %zmm10, %zmm10, %zmm10 + vgatherdpd _Log2Rcp_lookup(%rax,%ymm4), %zmm10{%k3} + vpbroadcastq .L_2il0floatpacket.24(%rip), %zmm4 + vpxord %zmm11, %zmm11, %zmm11 + vcvtdq2pd %ymm7, %zmm7 + vgatherdpd _Log2Rcp_lookup(%rax,%ymm5), %zmm11{%k1} + vmovups _Threshold(%rax), %zmm5 + vcmppd $21, %zmm2, %zmm5, %k2 + vcmppd $21, %zmm3, %zmm5, %k3 + vmovups _Bias1(%rax), %zmm3 + vmovaps %zmm4, %zmm2 + vpandnq %zmm5, %zmm5, %zmm2{%k2} + vpternlogq $236, _Bias(%rax), %zmm3, %zmm2 + +/* dpP= _dbT+lJ*T_ITEM_GRAN */ + kxnorw %k2, %k2, %k2 + vpandnq %zmm5, %zmm5, %zmm4{%k3} + vpternlogq $248, _Bias(%rax), %zmm4, %zmm3 + vsubpd %zmm2, %zmm6, %zmm4 + vmovups _poly_coeff_3(%rax), %zmm6 + vmovups _poly_coeff_4(%rax), %zmm2 + vsubpd %zmm3, %zmm7, %zmm5 + vmulpd %zmm8, %zmm8, %zmm7 + vfmadd213pd %zmm2, %zmm9, %zmm6 + kxnorw %k3, %k3, %k3 + vmovaps %zmm2, %zmm3 + vmulpd %zmm9, %zmm9, %zmm2 + vfmadd231pd _poly_coeff_3(%rax), %zmm8, %zmm3 + +/* reconstruction */ + vfmadd213pd %zmm9, %zmm2, %zmm6 + vfmadd213pd %zmm8, %zmm7, %zmm3 + vaddpd %zmm11, %zmm6, %zmm8 + vaddpd %zmm10, %zmm3, %zmm9 + vfmadd231pd _L2(%rax), %zmm5, %zmm8 + vfmadd132pd _L2(%rax), %zmm9, %zmm4 + vmulpd %zmm13, %zmm8, %zmm13 + vmulpd %zmm12, %zmm4, %zmm3 + vmulpd __dbInvLn2(%rax), %zmm13, %zmm10 + vmulpd __dbInvLn2(%rax), %zmm3, %zmm8 + +/* hi bits */ + vpsrlq $32, %zmm3, %zmm4 + vpsrlq $32, %zmm13, %zmm13 + +/* to round down; if dR is an integer we will get R = 1, which is ok */ + vsubpd __dbHALF(%rax), %zmm8, %zmm12 + vpmovqd %zmm4, %ymm5 + vpmovqd %zmm13, %ymm2 + vsubpd __dbHALF(%rax), %zmm10, %zmm9 + vaddpd __dbShifter(%rax), %zmm12, %zmm7 + vaddpd __dbShifter(%rax), %zmm9, %zmm9 + vsubpd __dbShifter(%rax), %zmm7, %zmm11 + vsubpd __dbShifter(%rax), %zmm9, %zmm12 + vinserti32x8 $1, %ymm2, %zmm5, %zmm3 + +/* iAbsX = iAbsX&iAbsMask */ + vpandd __iAbsMask(%rax), %zmm3, %zmm4 + +/* iRangeMask = (iAbsX>iDomainRange) */ + vpcmpd $2, __iDomainRange(%rax), %zmm4, %k1 + vpandnd %zmm4, %zmm4, %zmm14{%k1} + vpternlogd $254, %zmm15, %zmm26, %zmm14 + +/* [0..1) */ + vsubpd %zmm11, %zmm8, %zmm15 + vsubpd %zmm12, %zmm10, %zmm26 + vptestmd %zmm14, %zmm14, %k0 + vpsrlq $11, %zmm7, %zmm8 + vpsrlq $11, %zmm9, %zmm10 + vmulpd __dbC1(%rax), %zmm26, %zmm26 + vmulpd __dbC1(%rax), %zmm15, %zmm15 + +/* NB : including +/- sign for the exponent!! */ + vpsllq $52, %zmm10, %zmm13 + vpsllq $52, %zmm8, %zmm12 + kmovw %k0, %ecx + +/* low K bits */ + vpandq __lbLOWKBITS(%rax), %zmm9, %zmm14 + vpandq __lbLOWKBITS(%rax), %zmm7, %zmm6 + vpmovqd %zmm14, %ymm7 + vpmovqd %zmm6, %ymm9 + vpxord %zmm2, %zmm2, %zmm2 + vgatherdpd 13952(%rax,%ymm7,8), %zmm2{%k3} + vfmadd213pd %zmm2, %zmm26, %zmm2 + vpaddq %zmm13, %zmm2, %zmm2 + vcvtpd2ps %zmm2, %ymm4 + vpxord %zmm11, %zmm11, %zmm11 + vgatherdpd 13952(%rax,%ymm9,8), %zmm11{%k2} + vfmadd213pd %zmm11, %zmm15, %zmm11 + vpaddq %zmm12, %zmm11, %zmm3 + vcvtpd2ps %zmm3, %ymm5 + vinsertf32x8 $1, %ymm4, %zmm5, %zmm2 + testl %ecx, %ecx + jne .LBL_2_3 + +.LBL_2_2: + cfi_remember_state + vmovups 1280(%rsp), %zmm26 + 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, 1088(%rsp) + vmovups %zmm1, 1152(%rsp) + vmovups %zmm2, 1216(%rsp) + je .LBL_2_2 + + xorb %dl, %dl + xorl %eax, %eax + kmovw %k4, 984(%rsp) + kmovw %k5, 976(%rsp) + kmovw %k6, 968(%rsp) + kmovw %k7, 960(%rsp) + vmovups %zmm16, 896(%rsp) + vmovups %zmm17, 832(%rsp) + vmovups %zmm18, 768(%rsp) + vmovups %zmm19, 704(%rsp) + vmovups %zmm20, 640(%rsp) + vmovups %zmm21, 576(%rsp) + vmovups %zmm22, 512(%rsp) + vmovups %zmm23, 448(%rsp) + vmovups %zmm24, 384(%rsp) + vmovups %zmm25, 320(%rsp) + vmovups %zmm27, 256(%rsp) + vmovups %zmm28, 192(%rsp) + vmovups %zmm29, 128(%rsp) + vmovups %zmm30, 64(%rsp) + vmovups %zmm31, (%rsp) + movq %rsi, 1000(%rsp) + movq %rdi, 992(%rsp) + movq %r12, 1032(%rsp) + cfi_offset_rel_rsp (12, 1032) + movb %dl, %r12b + movq %r13, 1024(%rsp) + cfi_offset_rel_rsp (13, 1024) + movl %ecx, %r13d + movq %r14, 1016(%rsp) + cfi_offset_rel_rsp (14, 1016) + movl %eax, %r14d + movq %r15, 1008(%rsp) + cfi_offset_rel_rsp (15, 1008) + 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 984(%rsp), %k4 + kmovw 976(%rsp), %k5 + kmovw 968(%rsp), %k6 + kmovw 960(%rsp), %k7 + vmovups 896(%rsp), %zmm16 + vmovups 832(%rsp), %zmm17 + vmovups 768(%rsp), %zmm18 + vmovups 704(%rsp), %zmm19 + vmovups 640(%rsp), %zmm20 + vmovups 576(%rsp), %zmm21 + vmovups 512(%rsp), %zmm22 + vmovups 448(%rsp), %zmm23 + vmovups 384(%rsp), %zmm24 + vmovups 320(%rsp), %zmm25 + vmovups 256(%rsp), %zmm27 + vmovups 192(%rsp), %zmm28 + vmovups 128(%rsp), %zmm29 + vmovups 64(%rsp), %zmm30 + vmovups (%rsp), %zmm31 + vmovups 1216(%rsp), %zmm2 + movq 1000(%rsp), %rsi + movq 992(%rsp), %rdi + movq 1032(%rsp), %r12 + cfi_restore (%r12) + movq 1024(%rsp), %r13 + cfi_restore (%r13) + movq 1016(%rsp), %r14 + cfi_restore (%r14) + movq 1008(%rsp), %r15 + cfi_restore (%r15) + jmp .LBL_2_2 + +.LBL_2_10: + cfi_restore_state + movzbl %r12b, %r15d + vmovss 1156(%rsp,%r15,8), %xmm1 + vzeroupper + vmovss 1092(%rsp,%r15,8), %xmm0 + call powf@PLT + vmovss %xmm0, 1220(%rsp,%r15,8) + jmp .LBL_2_8 + +.LBL_2_12: + movzbl %r12b, %r15d + vmovss 1152(%rsp,%r15,8), %xmm1 + vzeroupper + vmovss 1088(%rsp,%r15,8), %xmm0 + call powf@PLT + vmovss %xmm0, 1216(%rsp,%r15,8) + jmp .LBL_2_7 +#endif +END (_ZGVeN16vv_powf_skx) + + .section .rodata, "a" +.L_2il0floatpacket.23: + .long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff + .type .L_2il0floatpacket.23,@object +.L_2il0floatpacket.24: + .long 0xffffffff,0xffffffff + .type .L_2il0floatpacket.24,@object diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core.S new file mode 100644 index 0000000000..f88b9ca6d4 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core.S @@ -0,0 +1,38 @@ +/* Multiple versions of vectorized powf. + 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 (_ZGVbN4vv_powf) + .type _ZGVbN4vv_powf, @gnu_indirect_function + cmpl $0, KIND_OFFSET+__cpu_features(%rip) + jne 1f + call __init_cpu_features +1: leaq _ZGVbN4vv_powf_sse4(%rip), %rax + testl $bit_SSE4_1, __cpu_features+CPUID_OFFSET+index_SSE4_1(%rip) + jz 2f + ret +2: leaq _ZGVbN4vv_powf_sse2(%rip), %rax + ret +END (_ZGVbN4vv_powf) +libmvec_hidden_def (_ZGVbN4vv_powf) + +#define _ZGVbN4vv_powf _ZGVbN4vv_powf_sse2 +#include "../svml_s_powf4_core.S" diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S new file mode 100644 index 0000000000..6068f51c46 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S @@ -0,0 +1,374 @@ +/* Function powf 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_s_powf_data.h" + + .text +ENTRY (_ZGVbN4vv_powf_sse4) +/* + 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 $256, %rsp + movaps %xmm0, %xmm3 + movhlps %xmm0, %xmm3 + movaps %xmm1, %xmm5 + movups %xmm8, 112(%rsp) + movaps %xmm5, %xmm2 + cvtps2pd %xmm3, %xmm8 + cvtps2pd %xmm5, %xmm7 + movups %xmm9, 96(%rsp) + movaps %xmm0, %xmm4 + cvtps2pd %xmm0, %xmm9 + movq __svml_spow_data@GOTPCREL(%rip), %rdx + movups %xmm10, 176(%rsp) + movups %xmm13, 48(%rsp) + movups _ExpMask(%rdx), %xmm6 + +/* preserve mantissa, set input exponent to 2^(-10) */ + movaps %xmm6, %xmm10 + andps %xmm8, %xmm6 + andps %xmm9, %xmm10 + +/* exponent bits selection */ + psrlq $20, %xmm9 + orps _Two10(%rdx), %xmm6 + psrlq $20, %xmm8 + orps _Two10(%rdx), %xmm10 + +/* reciprocal approximation good to at least 11 bits */ + cvtpd2ps %xmm6, %xmm13 + cvtpd2ps %xmm10, %xmm1 + movlhps %xmm13, %xmm13 + movhlps %xmm5, %xmm2 + movlhps %xmm1, %xmm1 + movups %xmm12, 208(%rsp) + rcpps %xmm13, %xmm12 + movups %xmm11, 80(%rsp) + cvtps2pd %xmm2, %xmm11 + rcpps %xmm1, %xmm2 + movups %xmm14, 144(%rsp) + cvtps2pd %xmm12, %xmm14 + movups %xmm15, 160(%rsp) + cvtps2pd %xmm2, %xmm15 + shufps $221, %xmm8, %xmm9 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + roundpd $0, %xmm14, %xmm14 + +/* biased exponent in DP format */ + pshufd $238, %xmm9, %xmm8 + roundpd $0, %xmm15, %xmm15 + cvtdq2pd %xmm8, %xmm1 + mulpd %xmm15, %xmm10 + mulpd %xmm14, %xmm6 + cvtdq2pd %xmm9, %xmm2 + subpd _One(%rdx), %xmm10 + subpd _One(%rdx), %xmm6 + +/* table lookup */ + movaps %xmm14, %xmm8 + movaps %xmm15, %xmm9 + psrlq $40, %xmm8 + psrlq $40, %xmm9 + movd %xmm8, %r8d + movd %xmm9, %eax + psubd _NMINNORM(%rdx), %xmm4 + movdqu _ABSMASK(%rdx), %xmm3 + pextrd $2, %xmm8, %r9d + pand %xmm5, %xmm3 + movups _Threshold(%rdx), %xmm8 + pextrd $2, %xmm9, %ecx + movaps %xmm8, %xmm9 + cmpltpd %xmm15, %xmm9 + cmpltpd %xmm14, %xmm8 + andps _Bias(%rdx), %xmm9 + movaps %xmm10, %xmm14 + andps _Bias(%rdx), %xmm8 + movaps %xmm6, %xmm15 + orps _Bias1(%rdx), %xmm9 + orps _Bias1(%rdx), %xmm8 + subpd %xmm9, %xmm2 + subpd %xmm8, %xmm1 + mulpd %xmm10, %xmm14 + mulpd %xmm6, %xmm15 + mulpd _L2(%rdx), %xmm2 + mulpd _L2(%rdx), %xmm1 + movups _poly_coeff_3(%rdx), %xmm9 + movaps %xmm9, %xmm8 + mulpd %xmm10, %xmm8 + mulpd %xmm6, %xmm9 + addpd _poly_coeff_4(%rdx), %xmm8 + addpd _poly_coeff_4(%rdx), %xmm9 + mulpd %xmm14, %xmm8 + mulpd %xmm15, %xmm9 + +/* reconstruction */ + addpd %xmm8, %xmm10 + addpd %xmm9, %xmm6 + movslq %eax, %rax + movslq %r8d, %r8 + movslq %ecx, %rcx + movslq %r9d, %r9 + movsd _Log2Rcp_lookup(%rdx,%rax), %xmm13 + movsd _Log2Rcp_lookup(%rdx,%r8), %xmm12 + movhpd _Log2Rcp_lookup(%rdx,%rcx), %xmm13 + movhpd _Log2Rcp_lookup(%rdx,%r9), %xmm12 + addpd %xmm10, %xmm13 + addpd %xmm6, %xmm12 + addpd %xmm13, %xmm2 + addpd %xmm12, %xmm1 + mulpd %xmm7, %xmm2 + mulpd %xmm11, %xmm1 + movups __dbInvLn2(%rdx), %xmm11 + movdqa %xmm4, %xmm12 + movaps %xmm11, %xmm10 + mulpd %xmm2, %xmm10 + mulpd %xmm1, %xmm11 + +/* to round down; if dR is an integer we will get R = 1, which is ok */ + movaps %xmm10, %xmm8 + movaps %xmm11, %xmm9 + subpd __dbHALF(%rdx), %xmm8 + subpd __dbHALF(%rdx), %xmm9 + addpd __dbShifter(%rdx), %xmm8 + addpd __dbShifter(%rdx), %xmm9 + movaps %xmm8, %xmm6 + movaps %xmm9, %xmm7 + subpd __dbShifter(%rdx), %xmm6 + subpd __dbShifter(%rdx), %xmm7 + +/* [0..1) */ + subpd %xmm6, %xmm10 + subpd %xmm7, %xmm11 + mulpd __dbC1(%rdx), %xmm10 + mulpd __dbC1(%rdx), %xmm11 + +/* hi bits */ + shufps $221, %xmm1, %xmm2 + movdqu _NMAXVAL(%rdx), %xmm1 + pcmpgtd %xmm1, %xmm12 + pcmpeqd %xmm1, %xmm4 + por %xmm4, %xmm12 + movdqa %xmm3, %xmm1 + movdqu _INF(%rdx), %xmm4 + pcmpgtd %xmm4, %xmm1 + pcmpeqd %xmm4, %xmm3 + +/* iAbsX = iAbsX&iAbsMask */ + pand __iAbsMask(%rdx), %xmm2 + por %xmm3, %xmm1 + +/* iRangeMask = (iAbsX>iDomainRange) */ + pcmpgtd __iDomainRange(%rdx), %xmm2 + por %xmm1, %xmm12 + movups __lbLOWKBITS(%rdx), %xmm3 + por %xmm2, %xmm12 + +/* low K bits */ + movaps %xmm3, %xmm2 + andps %xmm9, %xmm3 + andps %xmm8, %xmm2 + psrlq $11, %xmm8 + +/* dpP= _dbT+lJ*T_ITEM_GRAN */ + movd %xmm2, %r10d + psrlq $11, %xmm9 + movd %xmm3, %ecx + +/* NB : including +/- sign for the exponent!! */ + psllq $52, %xmm8 + psllq $52, %xmm9 + pextrw $4, %xmm2, %r11d + pextrw $4, %xmm3, %r8d + movmskps %xmm12, %eax + shll $3, %r10d + shll $3, %ecx + shll $3, %r11d + shll $3, %r8d + movq 13952(%rdx,%r10), %xmm6 + movq 13952(%rdx,%rcx), %xmm7 + movhpd 13952(%rdx,%r11), %xmm6 + movhpd 13952(%rdx,%r8), %xmm7 + mulpd %xmm6, %xmm10 + mulpd %xmm7, %xmm11 + addpd %xmm10, %xmm6 + addpd %xmm11, %xmm7 + paddq %xmm8, %xmm6 + paddq %xmm9, %xmm7 + cvtpd2ps %xmm6, %xmm1 + cvtpd2ps %xmm7, %xmm4 + movlhps %xmm4, %xmm1 + testl %eax, %eax + jne .LBL_1_3 + +.LBL_1_2: + cfi_remember_state + movups 112(%rsp), %xmm8 + movaps %xmm1, %xmm0 + movups 96(%rsp), %xmm9 + movups 176(%rsp), %xmm10 + movups 80(%rsp), %xmm11 + movups 208(%rsp), %xmm12 + movups 48(%rsp), %xmm13 + movups 144(%rsp), %xmm14 + movups 160(%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 %xmm0, 64(%rsp) + movups %xmm5, 128(%rsp) + movups %xmm1, 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), %xmm1 + jmp .LBL_1_2 + +.LBL_1_10: + cfi_restore_state + movzbl %r12b, %r15d + movss 68(%rsp,%r15,8), %xmm0 + movss 132(%rsp,%r15,8), %xmm1 + + call powf@PLT + + movss %xmm0, 196(%rsp,%r15,8) + jmp .LBL_1_8 + +.LBL_1_12: + movzbl %r12b, %r15d + movss 64(%rsp,%r15,8), %xmm0 + movss 128(%rsp,%r15,8), %xmm1 + + call powf@PLT + + movss %xmm0, 192(%rsp,%r15,8) + jmp .LBL_1_7 + +END (_ZGVbN4vv_powf_sse4) diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core.S new file mode 100644 index 0000000000..4552e573a9 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core.S @@ -0,0 +1,38 @@ +/* Multiple versions of vectorized powf. + 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 (_ZGVdN8vv_powf) + .type _ZGVdN8vv_powf, @gnu_indirect_function + cmpl $0, KIND_OFFSET+__cpu_features(%rip) + jne 1f + call __init_cpu_features +1: leaq _ZGVdN8vv_powf_avx2(%rip), %rax + testl $bit_AVX2_Usable, __cpu_features+FEATURE_OFFSET+index_AVX2_Usable(%rip) + jz 2f + ret +2: leaq _ZGVdN8vv_powf_sse_wrapper(%rip), %rax + ret +END (_ZGVdN8vv_powf) +libmvec_hidden_def (_ZGVdN8vv_powf) + +#define _ZGVdN8vv_powf _ZGVdN8vv_powf_sse_wrapper +#include "../svml_s_powf8_core.S" 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 new file mode 100644 index 0000000000..cfb86c7851 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S @@ -0,0 +1,357 @@ +/* Function powf 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_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 powf@PLT + + 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 powf@PLT + + 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 diff --git a/sysdeps/x86_64/fpu/svml_s_powf16_core.S b/sysdeps/x86_64/fpu/svml_s_powf16_core.S new file mode 100644 index 0000000000..efd84c2fff --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf16_core.S @@ -0,0 +1,25 @@ +/* Function powf vectorized with AVX-512. Wrapper to AVX2 version. + 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_s_wrapper_impl.h" + + .text +ENTRY (_ZGVeN16vv_powf) +WRAPPER_IMPL_AVX512_ff _ZGVdN8vv_powf +END (_ZGVeN16vv_powf) diff --git a/sysdeps/x86_64/fpu/svml_s_powf4_core.S b/sysdeps/x86_64/fpu/svml_s_powf4_core.S new file mode 100644 index 0000000000..81f0f530de --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf4_core.S @@ -0,0 +1,29 @@ +/* Function powf vectorized with SSE2. + 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_s_wrapper_impl.h" + + .text +ENTRY (_ZGVbN4vv_powf) +WRAPPER_IMPL_SSE2_ff powf +END (_ZGVbN4vv_powf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVbN4vv_powf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_powf8_core.S b/sysdeps/x86_64/fpu/svml_s_powf8_core.S new file mode 100644 index 0000000000..8fed6c7c86 --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf8_core.S @@ -0,0 +1,29 @@ +/* Function powf vectorized with AVX2, wrapper version. + 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_s_wrapper_impl.h" + + .text +ENTRY (_ZGVdN8vv_powf) +WRAPPER_IMPL_AVX_ff _ZGVbN4vv_powf +END (_ZGVdN8vv_powf) + +#ifndef USE_MULTIARCH + libmvec_hidden_def (_ZGVdN8vv_powf) +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_powf8_core_avx.S b/sysdeps/x86_64/fpu/svml_s_powf8_core_avx.S new file mode 100644 index 0000000000..eeeb66d46e --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf8_core_avx.S @@ -0,0 +1,25 @@ +/* Function powf vectorized in AVX ISA as wrapper to SSE4 ISA version. + 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_s_wrapper_impl.h" + + .text +ENTRY(_ZGVcN8vv_powf) +WRAPPER_IMPL_AVX_ff _ZGVbN4vv_powf +END(_ZGVcN8vv_powf) diff --git a/sysdeps/x86_64/fpu/svml_s_powf_data.S b/sysdeps/x86_64/fpu/svml_s_powf_data.S new file mode 100644 index 0000000000..4a4799ae4f --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf_data.S @@ -0,0 +1,3759 @@ +/* Data for function powf. + 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 "svml_s_powf_data.h" + + .section .rodata, "a" + .align 64 + +/* Data table for vector implementations of function powf. + The table may contain polynomial, reduction, lookup coefficients and + other coefficients obtained through different methods of research + and experimental work. */ + + .globl __svml_spow_data +__svml_spow_data: + +/* General purpose constants for H+L multiplication: + * NMINNORM */ +float_vector _NMINNORM 0x80800000 + +/* NMAXVAL */ +float_vector _NMAXVAL 0xfeffffff + +/* INF */ +float_vector _INF 0x7f800000 + +/* ABSMASK */ +float_vector _ABSMASK 0x7fffffff + +/* DOMAINRANGE */ +float_vector _DOMAINRANGE 0x42ae9a00 + +/* Log(2) lookup High+Low table for logarithmic part */ +.if .-__svml_spow_data != _Log_HA_table +.err +.endif + .quad 0xc086232bdd7a8300 + .quad 0xbe1ce91eef3fb100 + .quad 0xc086232fdc7ad828 + .quad 0xbe1cefcffda73b6a + .quad 0xc0862333d97d2ba0 + .quad 0xbe1cef406748f1ff + .quad 0xc0862337d48378e0 + .quad 0xbe1cef2a9429925a + .quad 0xc086233bcd8fb878 + .quad 0xbe1cf138d17ebecb + .quad 0xc086233fc4a3e018 + .quad 0xbe1ceff2dbbbb29e + .quad 0xc0862343b9c1e270 + .quad 0xbe1cf1a42aae437b + .quad 0xc0862347acebaf68 + .quad 0xbe1cef3b152048af + .quad 0xc086234b9e2333f0 + .quad 0xbe1cef20e127805e + .quad 0xc086234f8d6a5a30 + .quad 0xbe1cf00ad6052cf4 + .quad 0xc08623537ac30980 + .quad 0xbe1cefc4642ee597 + .quad 0xc0862357662f2660 + .quad 0xbe1cf1f277d36e16 + .quad 0xc086235b4fb092a0 + .quad 0xbe1ceed009e8d8e6 + .quad 0xc086235f37492d28 + .quad 0xbe1cf1e4038cb362 + .quad 0xc08623631cfad250 + .quad 0xbe1cf0b0873b8557 + .quad 0xc086236700c75b98 + .quad 0xbe1cf15bb3227c0b + .quad 0xc086236ae2b09fe0 + .quad 0xbe1cf151ef8ca9ed + .quad 0xc086236ec2b87358 + .quad 0xbe1cefe1dc2cd2ed + .quad 0xc0862372a0e0a780 + .quad 0xbe1cf0d1eec5454f + .quad 0xc08623767d2b0b48 + .quad 0xbe1ceeefd570bbce + .quad 0xc086237a57996af0 + .quad 0xbe1cee99ae91b3a7 + .quad 0xc086237e302d9028 + .quad 0xbe1cf0412830fbd1 + .quad 0xc086238206e94218 + .quad 0xbe1ceee898588610 + .quad 0xc0862385dbce4548 + .quad 0xbe1cee9a1fbcaaea + .quad 0xc0862389aede5bc0 + .quad 0xbe1ceed8e7cc1ad6 + .quad 0xc086238d801b4500 + .quad 0xbe1cf10c8d059da6 + .quad 0xc08623914f86be18 + .quad 0xbe1ceee6c63a8165 + .quad 0xc08623951d228180 + .quad 0xbe1cf0c3592d2ff1 + .quad 0xc0862398e8f04758 + .quad 0xbe1cf0026cc4cb1b + .quad 0xc086239cb2f1c538 + .quad 0xbe1cf15d48d8e670 + .quad 0xc08623a07b28ae60 + .quad 0xbe1cef359363787c + .quad 0xc08623a44196b390 + .quad 0xbe1cefdf1ab2e82c + .quad 0xc08623a8063d8338 + .quad 0xbe1cefe43c02aa84 + .quad 0xc08623abc91ec960 + .quad 0xbe1cf044f5ae35b7 + .quad 0xc08623af8a3c2fb8 + .quad 0xbe1cf0b0b4001e1b + .quad 0xc08623b349975d98 + .quad 0xbe1cf1bae76dfbcf + .quad 0xc08623b70731f810 + .quad 0xbe1cef0a72e13a62 + .quad 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0xc08626d23d4a4310 + .quad 0xbe1cefdc455d9d7e + .quad 0xc08626d4c5c29ad0 + .quad 0xbe1ceefc47e8fa64 + .quad 0xc08626d74d6ddf48 + .quad 0xbe1cf1872bf033f2 + .quad 0xc08626d9d44c9210 + .quad 0xbe1cf19d91087f9d + .quad 0xc08626dc5a5f3438 + .quad 0xbe1cf012d444c6ab + .quad 0xc08626dedfa64650 + .quad 0xbe1cf0ba528ee153 + .quad 0xc08626e164224880 + .quad 0xbe1ceeb431709788 + .quad 0xc08626e3e7d3ba60 + .quad 0xbe1cf0b9af31a6a5 + .quad 0xc08626e66abb1b28 + .quad 0xbe1cf168fb2e135b + .quad 0xc08626e8ecd8e990 + .quad 0xbe1cef9097461c93 + .quad 0xc08626eb6e2da3d0 + .quad 0xbe1cee7a434735d8 + .quad 0xc08626edeeb9c7a8 + .quad 0xbe1cf235732b86f2 + .quad 0xc08626f06e7dd280 + .quad 0xbe1cefe1510b89e6 + .quad 0xc08626f2ed7a4120 + .quad 0xbe1cf1f64b9b80ef + .quad 0xc08626f56baf9000 + .quad 0xbe1cf08f320ca339 + .quad 0xc08626f7e91e3b08 + .quad 0xbe1cf1b1de2808a1 + .quad 0xc08626fa65c6bdc0 + .quad 0xbe1cf1976d778b28 + .quad 0xc08626fce1a99338 + .quad 0xbe1ceef40a4f076f + .quad 0xc08626ff5cc73600 + .quad 0xbe1cef3e45869ce3 + .quad 0xc0862701d7202048 + .quad 0xbe1ceef601b4c9d6 + .quad 0xc086270450b4cbc0 + .quad 0xbe1cf1eaf0b57fd6 + .quad 0xc0862706c985b1c0 + .quad 0xbe1cef82a44990f3 + .quad 0xc086270941934b10 + .quad 0xbe1ceefe32981f2c + .quad 0xc086270bb8de1018 + .quad 0xbe1cefbf6f5a0445 + .quad 0xc086270e2f6678d0 + .quad 0xbe1cf18dba75792c + .quad 0xc0862710a52cfcc8 + .quad 0xbe1cf0da64ce995f + .quad 0xc08627131a321318 + .quad 0xbe1cef04ac0fb802 + .quad 0xc08627158e763268 + .quad 0xbe1cee9d4e2ad9bd + .quad 0xc086271801f9d0f8 + .quad 0xbe1cefa9b55407b5 + .quad 0xc086271a74bd64a0 + .quad 0xbe1cefe6bd329570 + .quad 0xc086271ce6c162c8 + .quad 0xbe1cef0b1205dc85 + .quad 0xc086271f58064068 + .quad 0xbe1cef092a785e3f + .quad 0xc0862721c88c7210 + .quad 0xbe1cf050dcdaac30 + .quad 0xc086272438546be8 + .quad 0xbe1cf210907ded8b + .quad 0xc0862726a75ea1b8 + .quad 0xbe1cee760be44f99 + .quad 0xc086272915ab86c0 + .quad 0xbe1ceeeee07c2bcc + .quad 0xc086272b833b8df0 + .quad 0xbe1cf06874992df5 + .quad 0xc086272df00f29d0 + .quad 0xbe1cef8fac5d4899 + .quad 0xc08627305c26cc70 + .quad 0xbe1cf1103241cc99 + .quad 0xc0862732c782e788 + .quad 0xbe1cf1d35fef83fe + .quad 0xc08627353223ec68 + .quad 0xbe1cef3ec8133e1d + .quad 0xc08627379c0a4be8 + .quad 0xbe1cef7261daccd8 + .quad 0xc086273a05367688 + .quad 0xbe1cf18656c50806 + .quad 0xc086273c6da8dc68 + .quad 0xbe1cf1c8736e049a + .quad 0xc086273ed561ed38 + .quad 0xbe1cf1f93bff4911 + .quad 0xc08627413c621848 + .quad 0xbe1cf188a4ea680c + .quad 0xc0862743a2a9cc80 + .quad 0xbe1cf1d270930c80 + .quad 0xc086274608397868 + .quad 0xbe1cf25a328c28e2 + .quad 0xc08627486d118a28 + .quad 0xbe1cf106f90aa3b8 + .quad 0xc086274ad1326f80 + .quad 0xbe1cee5e9d2e885a + .quad 0xc086274d349c95c0 + .quad 0xbe1cf1c0bac27228 + .quad 0xc086274f975069f8 + .quad 0xbe1cf1a1500f9b1c + .quad 0xc0862751f94e58c0 + .quad 0xbe1cefc30663ac44 + .quad 0xc08627545a96ce48 + .quad 0xbe1cf17123e427a2 + .quad 0xc0862756bb2a3678 + .quad 0xbe1cefb92749fea4 + .quad 0xc08627591b08fcc0 + .quad 0xbe1cefa40e1ea74a + .quad 0xc086275b7a338c40 + .quad 0xbe1cee6f4612c3e9 + .quad 0xc086275dd8aa4fa8 + .quad 0xbe1cf1c54a053627 + .quad 0xc0862760366db168 + .quad 0xbe1ceff5eb503d9e + .quad 0xc0862762937e1b70 + .quad 0xbe1cf02e47f10cee + .quad 0xc0862764efdbf768 + .quad 0xbe1ceeb06e1d0dad + .quad 0xc08627674b87ae88 + .quad 0xbe1cf10aadd6dba5 + .quad 0xc0862769a681a9c0 + .quad 0xbe1cf24e9913d30f + .quad 0xc086276c00ca51a0 + .quad 0xbe1cef47b301e312 + .quad 0xc086276e5a620e48 + .quad 0xbe1ceeb1cefc2e85 + .quad 0xc0862770b3494788 + .quad 0xbe1cf16f1fbbe011 + .quad 0xc08627730b8064e8 + .quad 0xbe1ceebdf75174c7 + .quad 0xc08627756307cd70 + .quad 0xbe1cf06e3871a0da + .quad 0xc0862777b9dfe7f0 + .quad 0xbe1cef16799fd554 + .quad 0xc086277a10091ac0 + .quad 0xbe1cf248dabf5377 + .quad 0xc086277c6583cc00 + .quad 0xbe1cf0c78d92a2cd + .quad 0xc086277eba506158 + .quad 0xbe1cf0b911b029f0 + .quad 0xc08627810e6f4028 + .quad 0xbe1cefdc24719766 + .quad 0xc086278361e0cd70 + .quad 0xbe1cefbb6562b7e7 + .quad 0xc0862785b4a56dd8 + .quad 0xbe1cf1e0afb349ec + .quad 0xc086278806bd85c0 + .quad 0xbe1cf008292e52fc + .quad 0xc086278a58297918 + .quad 0xbe1cf053073872bf + .quad 0xc086278ca8e9ab88 + .quad 0xbe1cf17a0a55a947 + .quad 0xc086278ef8fe8068 + .quad 0xbe1ceeffb0b60234 + .quad 0xc086279148685aa0 + .quad 0xbe1cf162204794a8 + .quad 0xc086279397279ce0 + .quad 0xbe1cf24cc8cb48ac + .quad 0xc0862795e53ca978 + .quad 0xbe1cf0c9be68d5c3 + .quad 0xc086279832a7e258 + .quad 0xbe1cf172cd3d7388 + .quad 0xc086279a7f69a930 + .quad 0xbe1ceea2465fbce5 + .quad 0xc086279ccb825f40 + .quad 0xbe1cf0a386d2500f + .quad 0xc086279f16f26590 + .quad 0xbe1cf1e338ddc18a + .quad 0xc08627a161ba1cd0 + .quad 0xbe1cef1f5049867f + .quad 0xc08627a3abd9e548 + .quad 0xbe1cef96c1ea8b1f + .quad 0xc08627a5f5521f00 + .quad 0xbe1cf138f6fd3c26 + .quad 0xc08627a83e2329b0 + .quad 0xbe1cf0d4fcbfdf3a + .quad 0xc08627aa864d64b0 + .quad 0xbe1cf24870c12c81 + .quad 0xc08627accdd12f18 + .quad 0xbe1cf0ae2a56348d + .quad 0xc08627af14aee7a0 + .quad 0xbe1cee8ca1a9b893 + .quad 0xc08627b15ae6eca8 + .quad 0xbe1cf20414d637b0 + .quad 0xc08627b3a0799c60 + .quad 0xbe1cf0fc6b7b12d8 + .quad 0xc08627b5e5675488 + .quad 0xbe1cf152d93c4a00 + .quad 0xc08627b829b072a0 + .quad 0xbe1cf1073f9b77c2 + .quad 0xc08627ba6d5553d8 + .quad 0xbe1cee694f97d5a4 + .quad 0xc08627bcb0565500 + .quad 0xbe1cf0456b8239d7 + .quad 0xc08627bef2b3d2b0 + .quad 0xbe1cf211497127e3 + .quad 0xc08627c1346e2930 + .quad 0xbe1cf01856c0384d + .quad 0xc08627c37585b468 + .quad 0xbe1cefa7dd05479e + .quad 0xc08627c5b5fad000 + .quad 0xbe1cef3ae8e50b93 + .quad 0xc08627c7f5cdd750 + .quad 0xbe1ceea5f32fdd3a + .quad 0xc08627ca34ff2560 + .quad 0xbe1cef424caeb8d9 + .quad 0xc08627cc738f14f0 + .quad 0xbe1cf0194d07a81f + .quad 0xc08627ceb17e0070 + .quad 0xbe1cf20f452000c1 + .quad 0xc08627d0eecc4210 + .quad 0xbe1cf00e356218e4 + .quad 0xc08627d32b7a33a0 + .quad 0xbe1cef30484b4bcb + .quad 0xc08627d567882eb0 + .quad 0xbe1ceeea11a6641b + .quad 0xc08627d7a2f68c80 + .quad 0xbe1cf13492d5bd7b + .quad 0xc08627d9ddc5a618 + .quad 0xbe1ceeb7048fad96 + .quad 0xc08627dc17f5d418 + .quad 0xbe1ceef0666f0477 + .quad 0xc08627de51876ee8 + .quad 0xbe1cf060d4b8b5c2 + .quad 0xc08627e08a7acea8 + .quad 0xbe1cf0b2a4b6ff8c + .quad 0xc08627e2c2d04b28 + .quad 0xbe1cf0e34809a875 + .quad 0xc08627e4fa883bf0 + .quad 0xbe1cf16bf74a3522 + .quad 0xc08627e731a2f848 + .quad 0xbe1cee6a24623d57 + .quad 0xc08627e96820d718 + .quad 0xbe1cefc7b4f1528e + .quad 0xc08627eb9e022f18 + .quad 0xbe1cf163051f3548 + .quad 0xc08627edd34756b8 + .quad 0xbe1cef36b3366305 + .quad 0xc08627f007f0a408 + .quad 0xbe1cf18134625550 + .quad 0xc08627f23bfe6cf0 + .quad 0xbe1cf0ec32ec1a11 + .quad 0xc08627f46f710700 + .quad 0xbe1ceeb3b64f3edc + .quad 0xc08627f6a248c778 + .quad 0xbe1cf0cd15805bc8 + .quad 0xc08627f8d4860368 + .quad 0xbe1cf20db3bddebe + .quad 0xc08627fb06290f90 + .quad 0xbe1cf25188430e25 + .quad 0xc08627fd37324070 + .quad 0xbe1ceea1713490f9 + .quad 0xc08627ff67a1ea28 + .quad 0xbe1cf159521d234c + .quad 0xc0862801977860b8 + .quad 0xbe1cf24dfe50783b + .quad 0xc0862803c6b5f7d0 + .quad 0xbe1ceef2ef89a60b + .quad 0xc0862805f55b02c8 + .quad 0xbe1cee7fc919d62c + .quad 0xc08628082367d4c0 + .quad 0xbe1cf215a7fb513a + .quad 0xc086280a50dcc0a8 + .quad 0xbe1cf0e4401c5ed4 + .quad 0xc086280c7dba1910 + .quad 0xbe1cf04ec734d256 + .quad 0xc086280eaa003050 + .quad 0xbe1cf010ad787fea + .quad 0xc0862810d5af5880 + .quad 0xbe1cee622478393d + .quad 0xc086281300c7e368 + .quad 0xbe1cf01c7482564f + .quad 0xc08628152b4a22a0 + .quad 0xbe1cf0de20d33536 + .quad 0xc086281755366778 + .quad 0xbe1cef2edae5837d + .quad 0xc08628197e8d02f0 + .quad 0xbe1cf0a345318cc9 + .quad 0xc086281ba74e45d8 + .quad 0xbe1cf20085aa34b8 + .quad 0xc086281dcf7a80c0 + .quad 0xbe1cef5fa845ad83 + .quad 0xc086281ff71203e0 + .quad 0xbe1cf050d1df69c4 + .quad 0xc08628221e151f48 + .quad 0xbe1ceffe43c035b9 + .quad 0xc0862824448422b8 + .quad 0xbe1cf14f3018d3c2 + .quad 0xc08628266a5f5dc0 + .quad 0xbe1cef0a5fbae83d + .quad 0xc08628288fa71f98 + .quad 0xbe1ceff8a95b72a1 + .quad 0xc086282ab45bb750 + .quad 0xbe1cef073aa9849b + .quad 0xc086282cd87d73a8 + .quad 0xbe1cef69b3835c02 + .quad 0xc086282efc0ca328 + .quad 0xbe1cf0bc139379a9 + .quad 0xc08628311f099420 + .quad 0xbe1cef247a9ec596 + .quad 0xc086283341749490 + .quad 0xbe1cef74bbcc488a + .quad 0xc0862835634df248 + .quad 0xbe1cef4bc42e7b8e + .quad 0xc08628378495fad0 + .quad 0xbe1cf136d4d5a810 + .quad 0xc0862839a54cfb80 + .quad 0xbe1cf0d290b24dd8 + .quad 0xc086283bc5734168 + .quad 0xbe1ceeebde8e0065 + .quad 0xc086283de5091950 + .quad 0xbe1cf1a09f60aa1e + .quad 0xc0862840040ecfe0 + .quad 0xbe1cf0803947a234 + .quad 0xc08628422284b168 + .quad 0xbe1cf0abf7638127 + .quad 0xc0862844406b0a08 + .quad 0xbe1cf0f73ee12058 + .quad 0xc08628465dc225a0 + .quad 0xbe1cf2079971b26c + .quad 0xc08628487a8a4fe0 + .quad 0xbe1cee74957564b1 + .quad 0xc086284a96c3d420 + .quad 0xbe1ceee77c1b7d43 + .quad 0xc086284cb26efd90 + .quad 0xbe1cf23addba6e09 + .quad 0xc086284ecd8c1730 + .quad 0xbe1cf199f4a1da60 + .quad 0xc0862850e81b6bb0 + .quad 0xbe1cf09fdea81393 + .quad 0xc0862853021d4588 + .quad 0xbe1cf176adb417f7 + .quad 0xc08628551b91ef00 + .quad 0xbe1cf0f64f84a8da + .quad 0xc08628573479b220 + .quad 0xbe1ceec34cf49523 + .quad 0xc08628594cd4d8a8 + .quad 0xbe1cf16d60fbe0bb + .quad 0xc086285b64a3ac40 + .quad 0xbe1cee8de7acfc7b + .quad 0xc086285d7be67630 + .quad 0xbe1ceee6256cce8d + .quad 0xc086285f929d7fa0 + .quad 0xbe1cee7d66a3d8a5 + .quad 0xc0862861a8c91170 + .quad 0xbe1cf0bef8265792 + .quad 0xc0862863be697458 + .quad 0xbe1cf097f890c6f8 + .quad 0xc0862865d37ef0c8 + .quad 0xbe1cf09502d5c3fc + .quad 0xc0862867e809cf00 + .quad 0xbe1ceeffb239dac7 + .quad 0xc0862869fc0a56f8 + .quad 0xbe1cf1fbfff95c98 + .quad 0xc086286c0f80d090 + .quad 0xbe1cefa57ad3eef7 + .quad 0xc086286e226d8348 + .quad 0xbe1cf22c58b9183d + .quad 0xc086287034d0b690 + .quad 0xbe1ceff262d0a248 + .quad 0xc086287246aab180 + .quad 0xbe1cefa7bc194186 + .quad 0xc086287457fbbb08 + .quad 0xbe1cf06782d784d9 + .quad 0xc086287668c419e0 + .quad 0xbe1cf1d44d0eaa07 + .quad 0xc086287879041490 + .quad 0xbe1cf034803c8a48 + .quad 0xc086287a88bbf158 + .quad 0xbe1cf08e84916b6f + .quad 0xc086287c97ebf650 + .quad 0xbe1cf0c4d3dc1bc7 + .quad 0xc086287ea6946958 + .quad 0xbe1cefb1e4625943 + .quad 0xc0862880b4b59010 + .quad 0xbe1cf143efdd1fd0 + .quad 0xc0862882c24faff8 + .quad 0xbe1cee9896d016da + .quad 0xc0862884cf630e38 + .quad 0xbe1cf2186072f2cc + .quad 0xc0862886dbefeff0 + .quad 0xbe1cef9217633d34 + .quad 0xc0862888e7f699e0 + .quad 0xbe1cf05603549486 + .quad 0xc086288af37750b0 + .quad 0xbe1cef50fff513d3 + .quad 0xc086288cfe7258c0 + .quad 0xbe1cf127713b32d0 + .quad 0xc086288f08e7f650 + .quad 0xbe1cf05015520f3d + .quad 0xc086289112d86d58 + .quad 0xbe1cf12eb458b26f + .quad 0xc08628931c4401a8 + .quad 0xbe1cf22eae2887ed + .quad 0xc0862895252af6e0 + .quad 0xbe1cefdd6656dd2d + .quad 0xc08628972d8d9058 + .quad 0xbe1cf1048ea4e646 + .quad 0xc0862899356c1150 + .quad 0xbe1ceec4501167e9 + .quad 0xc086289b3cc6bcb8 + .quad 0xbe1cf0ad52becc3f + .quad 0xc086289d439dd568 + .quad 0xbe1cf0daa4e00e35 + .quad 0xc086289f49f19df8 + .quad 0xbe1cf00b80de8d6a + .quad 0xc08628a14fc258c8 + .quad 0xbe1cf1bcf2ea8464 + .quad 0xc08628a355104818 + .quad 0xbe1cf0435e2782b0 + .quad 0xc08628a559dbade0 + .quad 0xbe1cf0e3e1a5f56c + .quad 0xc08628a75e24cbf8 + .quad 0xbe1cefed9d5a721d + .quad 0xc08628a961ebe3f8 + .quad 0xbe1cf0d2d74321e2 + .quad 0xc08628ab65313750 + .quad 0xbe1cf24200eb55e9 + .quad 0xc08628ad67f50740 + .quad 0xbe1cf23e9d7cf979 + .quad 0xc08628af6a3794d0 + .quad 0xbe1cf23a088f421c + .quad 0xc08628b16bf920e0 + .quad 0xbe1cef2c1de1ab32 + .quad 0xc08628b36d39ec08 + .quad 0xbe1cf1abc231f7b2 + .quad 0xc08628b56dfa36d0 + .quad 0xbe1cf2074d5ba303 + .quad 0xc08628b76e3a4180 + .quad 0xbe1cf05cd5eed880 + .rept 48 + .byte 0 + .endr + +/* Log(2) lookup table for logarithmic part */ +.if .-__svml_spow_data != _Log_LA_table +.err +.endif + .quad 0x8000000000000000 + .quad 0xbf5ff802a9ab10e6 + .quad 0xbf6ff00aa2b10bc0 + .quad 0xbf77ee11ebd82e94 + .quad 0xbf7fe02a6b106789 + .quad 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0x3f9a55f548c5c43f + .quad 0x3f994f6b99a24475 + .quad 0x3f98492528c8cabf + .quad 0x3f974321d3d006d3 + .quad 0x3f963d6178690bd6 + .quad 0x3f9537e3f45f3565 + .quad 0x3f9432a925980cc1 + .quad 0x3f932db0ea132e22 + .quad 0x3f9228fb1fea2e28 + .quad 0x3f912487a5507f70 + .quad 0x3f90205658935847 + .quad 0x3f8e38ce3033310c + .quad 0x3f8c317384c75f06 + .quad 0x3f8a2a9c6c170462 + .quad 0x3f882448a388a2aa + .quad 0x3f861e77e8b53fc6 + .quad 0x3f841929f96832f0 + .quad 0x3f82145e939ef1e9 + .quad 0x3f8010157588de71 + .quad 0x3f7c189cbb0e27fb + .quad 0x3f78121214586b54 + .quad 0x3f740c8a747878e2 + .quad 0x3f70080559588b35 + .quad 0x3f680904828985c0 + .quad 0x3f60040155d5889e + .quad 0x3f50020055655889 + .quad 0x0000000000000000 + .rept 56 + .byte 0 + .endr + +/* Polynomial coefficients for log part: + * coeff4 */ +double_vector _poly_coeff_1 0x3fc9999cacdb4d0a + +/* coeff3 */ +double_vector _poly_coeff_2 0xbfd0000148058ee1 + +/* coeff2 */ +double_vector _poly_coeff_3 0x3fd55555555543c5 + +/* coeff1 */ +double_vector _poly_coeff_4 0xbfdffffffffff81f + +/* General purpose constants for log part: ExpMask */ +double_vector _ExpMask 0x000fffffffffffff + +/* Two10 */ +double_vector _Two10 0x3f50000000000000 + +/* MinNorm */ +double_vector _MinNorm 0x0010000000000000 + +/* MaxNorm */ +double_vector _MaxNorm 0x7fefffffffffffff + +/* HalfMask */ +double_vector _HalfMask 0xfffffffffc000000 + +/* One */ +double_vector _One 0x3ff0000000000000 + +/* L2H */ +double_vector _L2H 0x3fe62e42fefa0000 + +/* L2L */ +double_vector _L2L 0x3d7cf79abc9e0000 + +/* Threshold */ +double_vector _Threshold 0x4086a00000000000 + +/* Bias */ +double_vector _Bias 0x408ff80000000000 + +/* Bias1 */ +double_vector _Bias1 0x408ff00000000000 + +/* L2L */ +double_vector _L2 0x3fe62e42fefa39ef + +/* dInfs = DP infinity, +/- == */ +.if .-__svml_spow_data != _dInfs +.err +.endif + .quad 0x7ff0000000000000 + .quad 0xfff0000000000000 + .rept 48 + .byte 0 + .endr + +/* dOnes = DP one, +/- == */ +.if .-__svml_spow_data != _dOnes +.err +.endif + .quad 0x3ff0000000000000 + .quad 0xbff0000000000000 + .rept 48 + .byte 0 + .endr + +/* dZeros = DP zero +/- == */ +.if .-__svml_spow_data != _dZeros +.err +.endif + .quad 0x0000000000000000 + .quad 0x8000000000000000 + .rept 48 + .byte 0 + .endr +.if .-__svml_spow_data != __dbT +.err +.endif + .quad 0x3feffffffc27dd9e + .quad 0x3ff00162f1a4047d + .quad 0x3ff002c603f68252 + .quad 0x3ff00429350e12af + .quad 0x3ff0058c84ed6032 + .quad 0x3ff006eff39715b2 + .quad 0x3ff00853810dde41 + .quad 0x3ff009b72d54652f + .quad 0x3ff00b1af86d5604 + .quad 0x3ff00c7ee25b5c86 + .quad 0x3ff00de2eb2124b3 + .quad 0x3ff00f4712c15ac8 + .quad 0x3ff010ab593eab39 + .quad 0x3ff0120fbe9bc2ba + .quad 0x3ff0137442db4e38 + .quad 0x3ff014d8e5fffada + .quad 0x3ff0163da80c7604 + .quad 0x3ff017a289036d56 + .quad 0x3ff0190788e78eab + .quad 0x3ff01a6ca7bb8818 + .quad 0x3ff01bd1e58207ef + .quad 0x3ff01d37423dbcbc + .quad 0x3ff01e9cbdf15549 + .quad 0x3ff02002589f8099 + .quad 0x3ff02168124aedec + .quad 0x3ff022cdeaf64cbc + .quad 0x3ff02433e2a44cc1 + .quad 0x3ff02599f9579ded + .quad 0x3ff027002f12f06d + .quad 0x3ff0286683d8f4ac + .quad 0x3ff029ccf7ac5b4d + .quad 0x3ff02b338a8fd532 + .quad 0x3ff02c9a3c861379 + .quad 0x3ff02e010d91c778 + .quad 0x3ff02f67fdb5a2c4 + .quad 0x3ff030cf0cf4572d + .quad 0x3ff032363b5096bc + .quad 0x3ff0339d88cd13bc + .quad 0x3ff03504f56c80ae + .quad 0x3ff0366c81319053 + .quad 0x3ff037d42c1ef5a2 + .quad 0x3ff0393bf63763d5 + .quad 0x3ff03aa3df7d8e5f + .quad 0x3ff03c0be7f428eb + .quad 0x3ff03d740f9de766 + .quad 0x3ff03edc567d7df7 + .quad 0x3ff04044bc95a0fe + .quad 0x3ff041ad41e9051d + .quad 0x3ff04315e67a5f2a + .quad 0x3ff0447eaa4c643e + .quad 0x3ff045e78d61c9ac + .quad 0x3ff047508fbd4502 + .quad 0x3ff048b9b1618c0b + .quad 0x3ff04a22f25154cd + .quad 0x3ff04b8c528f558b + .quad 0x3ff04cf5d21e44c4 + .quad 0x3ff04e5f7100d935 + .quad 0x3ff04fc92f39c9d4 + .quad 0x3ff051330ccbcdd5 + .quad 0x3ff0529d09b99ca8 + .quad 0x3ff054072605edfb + .quad 0x3ff0557161b379b3 + .quad 0x3ff056dbbcc4f7f8 + .quad 0x3ff05846373d212a + .quad 0x3ff059b0d11eade5 + .quad 0x3ff05b1b8a6c5706 + .quad 0x3ff05c866328d5a2 + .quad 0x3ff05df15b56e30a + .quad 0x3ff05f5c72f938cf + .quad 0x3ff060c7aa1290bd + .quad 0x3ff0623300a5a4db + .quad 0x3ff0639e76b52f6e + .quad 0x3ff0650a0c43eaf6 + .quad 0x3ff06675c1549232 + .quad 0x3ff067e195e9e01a + .quad 0x3ff0694d8a068fe7 + .quad 0x3ff06ab99dad5d0c + .quad 0x3ff06c25d0e10338 + .quad 0x3ff06d9223a43e58 + .quad 0x3ff06efe95f9ca95 + .quad 0x3ff0706b27e46455 + .quad 0x3ff071d7d966c83a + .quad 0x3ff07344aa83b324 + .quad 0x3ff074b19b3de22f + .quad 0x3ff0761eab9812b4 + .quad 0x3ff0778bdb950247 + .quad 0x3ff078f92b376ebc + .quad 0x3ff07a669a821621 + .quad 0x3ff07bd42977b6c4 + .quad 0x3ff07d41d81b0f2b + .quad 0x3ff07eafa66ede1e + .quad 0x3ff0801d9475e2a0 + .quad 0x3ff0818ba232dbee + .quad 0x3ff082f9cfa88985 + .quad 0x3ff084681cd9ab21 + .quad 0x3ff085d689c900b6 + .quad 0x3ff0874516794a79 + .quad 0x3ff088b3c2ed48d9 + .quad 0x3ff08a228f27bc86 + .quad 0x3ff08b917b2b6667 + .quad 0x3ff08d0086fb07a6 + .quad 0x3ff08e6fb29961a8 + .quad 0x3ff08fdefe09360d + .quad 0x3ff0914e694d46b6 + .quad 0x3ff092bdf46855c0 + .quad 0x3ff0942d9f5d2582 + .quad 0x3ff0959d6a2e7893 + .quad 0x3ff0970d54df11c8 + .quad 0x3ff0987d5f71b432 + .quad 0x3ff099ed89e9231e + .quad 0x3ff09b5dd448221a + .quad 0x3ff09cce3e9174ec + .quad 0x3ff09e3ec8c7df9d + .quad 0x3ff09faf72ee2670 + .quad 0x3ff0a1203d070de5 + .quad 0x3ff0a29127155abd + .quad 0x3ff0a402311bd1f0 + .quad 0x3ff0a5735b1d38bb + .quad 0x3ff0a6e4a51c5493 + .quad 0x3ff0a8560f1beb2c + .quad 0x3ff0a9c7991ec278 + .quad 0x3ff0ab394327a0a7 + .quad 0x3ff0acab0d394c25 + .quad 0x3ff0ae1cf7568b9d + .quad 0x3ff0af8f018225f7 + .quad 0x3ff0b1012bbee259 + .quad 0x3ff0b273760f8825 + .quad 0x3ff0b3e5e076defc + .quad 0x3ff0b5586af7aebc + .quad 0x3ff0b6cb1594bf84 + .quad 0x3ff0b83de050d9ab + .quad 0x3ff0b9b0cb2ec5ca + .quad 0x3ff0bb23d6314cb7 + .quad 0x3ff0bc97015b3783 + .quad 0x3ff0be0a4caf4f81 + .quad 0x3ff0bf7db8305e3f + .quad 0x3ff0c0f143e12d8a + .quad 0x3ff0c264efc4876c + .quad 0x3ff0c3d8bbdd362e + .quad 0x3ff0c54ca82e0455 + .quad 0x3ff0c6c0b4b9bca6 + .quad 0x3ff0c834e1832a24 + .quad 0x3ff0c9a92e8d180e + .quad 0x3ff0cb1d9bda51e1 + .quad 0x3ff0cc92296da35b + .quad 0x3ff0ce06d749d876 + .quad 0x3ff0cf7ba571bd6a + .quad 0x3ff0d0f093e81eab + .quad 0x3ff0d265a2afc8f1 + .quad 0x3ff0d3dad1cb892b + .quad 0x3ff0d550213e2c8c + .quad 0x3ff0d6c5910a8081 + .quad 0x3ff0d83b213352b8 + .quad 0x3ff0d9b0d1bb711b + .quad 0x3ff0db26a2a5a9d4 + .quad 0x3ff0dc9c93f4cb4a + .quad 0x3ff0de12a5aba423 + .quad 0x3ff0df88d7cd0344 + .quad 0x3ff0e0ff2a5bb7cd + .quad 0x3ff0e2759d5a9121 + .quad 0x3ff0e3ec30cc5edd + .quad 0x3ff0e562e4b3f0df + .quad 0x3ff0e6d9b9141745 + .quad 0x3ff0e850adefa265 + .quad 0x3ff0e9c7c34962db + .quad 0x3ff0eb3ef924297d + .quad 0x3ff0ecb64f82c75e + .quad 0x3ff0ee2dc6680dd6 + .quad 0x3ff0efa55dd6ce75 + .quad 0x3ff0f11d15d1db0c + .quad 0x3ff0f294ee5c05ab + .quad 0x3ff0f40ce77820a2 + .quad 0x3ff0f5850128fe7a + .quad 0x3ff0f6fd3b717200 + .quad 0x3ff0f87596544e3f + .quad 0x3ff0f9ee11d4667f + .quad 0x3ff0fb66adf48e46 + .quad 0x3ff0fcdf6ab7995c + .quad 0x3ff0fe5848205bc4 + .quad 0x3ff0ffd14631a9c2 + .quad 0x3ff1014a64ee57d9 + .quad 0x3ff102c3a4593ac9 + .quad 0x3ff1043d04752792 + .quad 0x3ff105b68544f373 + .quad 0x3ff1073026cb73e9 + .quad 0x3ff108a9e90b7eb2 + .quad 0x3ff10a23cc07e9c6 + .quad 0x3ff10b9dcfc38b63 + .quad 0x3ff10d17f44139fe + .quad 0x3ff10e923983cc53 + .quad 0x3ff1100c9f8e1955 + .quad 0x3ff111872662f83e + .quad 0x3ff11301ce054081 + .quad 0x3ff1147c9677c9d2 + .quad 0x3ff115f77fbd6c23 + .quad 0x3ff1177289d8ffa9 + .quad 0x3ff118edb4cd5cd4 + .quad 0x3ff11a69009d5c54 + .quad 0x3ff11be46d4bd71a + .quad 0x3ff11d5ffadba653 + .quad 0x3ff11edba94fa36e + .quad 0x3ff1205778aaa817 + .quad 0x3ff121d368ef8e3b + .quad 0x3ff1234f7a213008 + .quad 0x3ff124cbac4267e5 + .quad 0x3ff12647ff56107f + .quad 0x3ff127c4735f04bd + .quad 0x3ff1294108601fcb + .quad 0x3ff12abdbe5c3d0f + .quad 0x3ff12c3a95563832 + .quad 0x3ff12db78d50ed19 + .quad 0x3ff12f34a64f37ed + .quad 0x3ff130b1e053f513 + .quad 0x3ff1322f3b62012e + .quad 0x3ff133acb77c3927 + .quad 0x3ff1352a54a57a1f + .quad 0x3ff136a812e0a17c + .quad 0x3ff13825f2308ce0 + .quad 0x3ff139a3f2981a2e + .quad 0x3ff13b22141a278a + .quad 0x3ff13ca056b99356 + .quad 0x3ff13e1eba793c33 + .quad 0x3ff13f9d3f5c0103 + .quad 0x3ff1411be564c0e7 + .quad 0x3ff1429aac965b40 + .quad 0x3ff1441994f3afae + .quad 0x3ff145989e7f9e13 + .quad 0x3ff14717c93d068e + .quad 0x3ff14897152ec980 + .quad 0x3ff14a168257c787 + .quad 0x3ff14b9610bae185 + .quad 0x3ff14d15c05af897 + .quad 0x3ff14e95913aee1e + .quad 0x3ff15015835da3b8 + .quad 0x3ff1519596c5fb46 + .quad 0x3ff15315cb76d6e5 + .quad 0x3ff15496217318f6 + .quad 0x3ff1561698bda417 + .quad 0x3ff1579731595b27 + .quad 0x3ff15917eb492145 + .quad 0x3ff15a98c68fd9d1 + .quad 0x3ff15c19c330686b + .quad 0x3ff15d9ae12db0ef + .quad 0x3ff15f1c208a977f + .quad 0x3ff1609d814a007b + .quad 0x3ff1621f036ed081 + .quad 0x3ff163a0a6fbec71 + .quad 0x3ff165226bf4396d + .quad 0x3ff166a4525a9cd3 + .quad 0x3ff168265a31fc44 + .quad 0x3ff169a8837d3da3 + .quad 0x3ff16b2ace3f4710 + .quad 0x3ff16cad3a7afeeb + .quad 0x3ff16e2fc8334bd8 + .quad 0x3ff16fb2776b14b8 + .quad 0x3ff17135482540ad + .quad 0x3ff172b83a64b71a + .quad 0x3ff1743b4e2c5fa4 + .quad 0x3ff175be837f222d + .quad 0x3ff17741da5fe6da + .quad 0x3ff178c552d1960f + .quad 0x3ff17a48ecd71873 + .quad 0x3ff17bcca87356e9 + .quad 0x3ff17d5085a93a9b + .quad 0x3ff17ed4847bacec + .quad 0x3ff18058a4ed9787 + .quad 0x3ff181dce701e451 + .quad 0x3ff183614abb7d75 + .quad 0x3ff184e5d01d4d5b + .quad 0x3ff1866a772a3ead + .quad 0x3ff187ef3fe53c58 + .quad 0x3ff189742a513185 + .quad 0x3ff18af9367109a1 + .quad 0x3ff18c7e6447b059 + .quad 0x3ff18e03b3d8119c + .quad 0x3ff18f8925251997 + .quad 0x3ff1910eb831b4ba + .quad 0x3ff192946d00cfb6 + .quad 0x3ff1941a4395577c + .quad 0x3ff195a03bf2393e + .quad 0x3ff19726561a626d + .quad 0x3ff198ac9210c0c1 + .quad 0x3ff19a32efd8422c + .quad 0x3ff19bb96f73d4e5 + .quad 0x3ff19d4010e66763 + .quad 0x3ff19ec6d432e85c + .quad 0x3ff1a04db95c46cc + .quad 0x3ff1a1d4c06571ed + .quad 0x3ff1a35be9515937 + .quad 0x3ff1a4e33422ec69 + .quad 0x3ff1a66aa0dd1b81 + .quad 0x3ff1a7f22f82d6bc + .quad 0x3ff1a979e0170e9a + .quad 0x3ff1ab01b29cb3dd + .quad 0x3ff1ac89a716b786 + .quad 0x3ff1ae11bd880ada + .quad 0x3ff1af99f5f39f5d + .quad 0x3ff1b122505c66d5 + .quad 0x3ff1b2aaccc5534b + .quad 0x3ff1b4336b315705 + .quad 0x3ff1b5bc2ba3648e + .quad 0x3ff1b7450e1e6eb3 + .quad 0x3ff1b8ce12a56880 + .quad 0x3ff1ba57393b4544 + .quad 0x3ff1bbe081e2f88e + .quad 0x3ff1bd69ec9f762f + .quad 0x3ff1bef37973b23b + .quad 0x3ff1c07d2862a105 + .quad 0x3ff1c206f96f3724 + .quad 0x3ff1c390ec9c696f + .quad 0x3ff1c51b01ed2cfe + .quad 0x3ff1c6a53964772e + .quad 0x3ff1c82f93053d99 + .quad 0x3ff1c9ba0ed2761e + .quad 0x3ff1cb44accf16dc + .quad 0x3ff1cccf6cfe1634 + .quad 0x3ff1ce5a4f626acb + .quad 0x3ff1cfe553ff0b83 + .quad 0x3ff1d1707ad6ef85 + .quad 0x3ff1d2fbc3ed0e37 + .quad 0x3ff1d4872f445f44 + .quad 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0x3ffdcdf750b6ce17 + .quad 0x3ffdd08c836b797f + .quad 0x3ffdd321ef6c7800 + .quad 0x3ffdd5b794bec0bc + .quad 0x3ffdd84d73674b3f + .quad 0x3ffddae38b6b0f89 + .quad 0x3ffddd79dccf0603 + .quad 0x3ffde01067982789 + .quad 0x3ffde2a72bcb6d61 + .quad 0x3ffde53e296dd143 + .quad 0x3ffde7d560844d54 + .quad 0x3ffdea6cd113dc26 + .quad 0x3ffded047b2178bb + .quad 0x3ffdef9c5eb21e83 + .quad 0x3ffdf2347bcac95e + .quad 0x3ffdf4ccd2707596 + .quad 0x3ffdf76562a81feb + .quad 0x3ffdf9fe2c76c585 + .quad 0x3ffdfc972fe163fd + .quad 0x3ffdff306cecf95b + .quad 0x3ffe01c9e39e8418 + .quad 0x3ffe046393fb0315 + .quad 0x3ffe06fd7e0775aa + .quad 0x3ffe0997a1c8db99 + .quad 0x3ffe0c31ff443512 + .quad 0x3ffe0ecc967e82b9 + .quad 0x3ffe1167677cc59c + .quad 0x3ffe14027243ff3b + .quad 0x3ffe169db6d93183 + .quad 0x3ffe193935415ed1 + .quad 0x3ffe1bd4ed8189f2 + .quad 0x3ffe1e70df9eb621 + .quad 0x3ffe210d0b9de709 + .quad 0x3ffe23a9718420c3 + .quad 0x3ffe2646115667d9 + .quad 0x3ffe28e2eb19c142 + .quad 0x3ffe2b7ffed33266 + .quad 0x3ffe2e1d4c87c11e + .quad 0x3ffe30bad43c73ae + .quad 0x3ffe335895f650cf + .quad 0x3ffe35f691ba5fa4 + .quad 0x3ffe3894c78da7c2 + .quad 0x3ffe3b333775312f + .quad 0x3ffe3dd1e176045e + .quad 0x3ffe4070c5952a35 + .quad 0x3ffe430fe3d7ac06 + .quad 0x3ffe45af3c429394 + .quad 0x3ffe484ecedaeb14 + .quad 0x3ffe4aee9ba5bd26 + .quad 0x3ffe4d8ea2a814df + .quad 0x3ffe502ee3e6fdc2 + .quad 0x3ffe52cf5f6783c0 + .quad 0x3ffe5570152eb33c + .quad 0x3ffe581105419909 + .quad 0x3ffe5ab22fa54269 + .quad 0x3ffe5d53945ebd0f + .quad 0x3ffe5ff53373171e + .quad 0x3ffe62970ce75f28 + .quad 0x3ffe653920c0a430 + .quad 0x3ffe67db6f03f5ab + .quad 0x3ffe6a7df7b6637a + .quad 0x3ffe6d20badcfdf3 + .quad 0x3ffe6fc3b87cd5d9 + .quad 0x3ffe7266f09afc62 + .quad 0x3ffe750a633c8332 + .quad 0x3ffe77ae10667c5d + .quad 0x3ffe7a51f81dfa6b + .quad 0x3ffe7cf61a681052 + .quad 0x3ffe7f9a7749d178 + .quad 0x3ffe823f0ec851b6 + .quad 0x3ffe84e3e0e8a554 + .quad 0x3ffe8788edafe10a + .quad 0x3ffe8a2e35231a01 + .quad 0x3ffe8cd3b74765d6 + .quad 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0x3fff55e3f5b3e8d8 + .quad 0x3fff589b1f0a7e23 + .quad 0x3fff5b52849edc4a + .quad 0x3fff5e0a26763bb8 + .quad 0x3fff60c20495d54d + .quad 0x3fff637a1f02e25c + .quad 0x3fff663275c29cab + .quad 0x3fff68eb08da3e7a + .quad 0x3fff6ba3d84f0275 + .quad 0x3fff6e5ce42623c1 + .quad 0x3fff71162c64ddf3 + .quad 0x3fff73cfb1106d1b + .quad 0x3fff7689722e0db5 + .quad 0x3fff79436fc2fcb6 + .quad 0x3fff7bfda9d47787 + .quad 0x3fff7eb82067bc04 + .quad 0x3fff8172d382087c + .quad 0x3fff842dc3289bb5 + .quad 0x3fff86e8ef60b4ea + .quad 0x3fff89a4582f93c7 + .quad 0x3fff8c5ffd9a786e + .quad 0x3fff8f1bdfa6a377 + .quad 0x3fff91d7fe5955eb + .quad 0x3fff949459b7d14b + .quad 0x3fff9750f1c7578c + .quad 0x3fff9a0dc68d2b16 + .quad 0x3fff9ccad80e8ec8 + .quad 0x3fff9f882650c5f2 + .quad 0x3fffa245b159145c + .quad 0x3fffa503792cbe42 + .quad 0x3fffa7c17dd10856 + .quad 0x3fffaa7fbf4b37bd + .quad 0x3fffad3e3da09211 + .quad 0x3fffaffcf8d65d61 + .quad 0x3fffb2bbf0f1e031 + .quad 0x3fffb57b25f8617d + .quad 0x3fffb83a97ef28b2 + .quad 0x3fffbafa46db7db4 + .quad 0x3fffbdba32c2a8db + .quad 0x3fffc07a5ba9f2f6 + .quad 0x3fffc33ac196a548 + .quad 0x3fffc5fb648e098a + .quad 0x3fffc8bc449569e9 + .quad 0x3fffcb7d61b21108 + .quad 0x3fffce3ebbe94a01 + .quad 0x3fffd10053406061 + .quad 0x3fffd3c227bca02c + .quad 0x3fffd684396355da + .quad 0x3fffd9468839ce5a + .quad 0x3fffdc0914455712 + .quad 0x3fffdecbdd8b3dd8 + .quad 0x3fffe18ee410d0ff + .quad 0x3fffe45227db5f4b + .quad 0x3fffe715a8f037f6 + .quad 0x3fffe9d96754aab1 + .quad 0x3fffec9d630e07a4 + .quad 0x3fffef619c219f69 + .quad 0x3ffff2261294c314 + .quad 0x3ffff4eac66cc42c + .quad 0x3ffff7afb7aef4b0 + .quad 0x3ffffa74e660a715 + .quad 0x3ffffd3a52872e44 + .quad 0x3ffffffffc27dd9e + .rept 56 + .byte 0 + .endr + +/* Other general purpose constants: + * _dbInvLn2 */ +double_vector __dbInvLn2 0x40a71547652b82fe + +/* _dbShifter */ +double_vector __dbShifter 0x4338000000000000 + +/* _dbHALF */ +double_vector __dbHALF 0x3fe0000000000000 + +/* _dbC1 = 2^(1/2^K)-1 */ +double_vector __dbC1 0x3f362f3904051fa1 + +/* _lbLOWKBITS = 2^K-1 */ +double_vector __lbLOWKBITS 0x00000000000007ff + +/* _iAbsMask */ +float_vector __iAbsMask 0x7fffffff + +/* _iDomainRange */ +float_vector __iDomainRange 0x4059fe36 + .type __svml_spow_data,@object + .size __svml_spow_data,.-__svml_spow_data diff --git a/sysdeps/x86_64/fpu/svml_s_powf_data.h b/sysdeps/x86_64/fpu/svml_s_powf_data.h new file mode 100644 index 0000000000..d847368e4b --- /dev/null +++ b/sysdeps/x86_64/fpu/svml_s_powf_data.h @@ -0,0 +1,76 @@ +/* Offsets for data table for function powf. + 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/>. */ + +#ifndef S_POWF_DATA_H +#define S_POWF_DATA_H + +#define _Log2Rcp_lookup -4218496 +#define _NMINNORM 0 +#define _NMAXVAL 64 +#define _INF 128 +#define _ABSMASK 192 +#define _DOMAINRANGE 256 +#define _Log_HA_table 320 +#define _Log_LA_table 8576 +#define _poly_coeff_1 12736 +#define _poly_coeff_2 12800 +#define _poly_coeff_3 12864 +#define _poly_coeff_4 12928 +#define _ExpMask 12992 +#define _Two10 13056 +#define _MinNorm 13120 +#define _MaxNorm 13184 +#define _HalfMask 13248 +#define _One 13312 +#define _L2H 13376 +#define _L2L 13440 +#define _Threshold 13504 +#define _Bias 13568 +#define _Bias1 13632 +#define _L2 13696 +#define _dInfs 13760 +#define _dOnes 13824 +#define _dZeros 13888 +#define __dbT 13952 +#define __dbInvLn2 30400 +#define __dbShifter 30464 +#define __dbHALF 30528 +#define __dbC1 30592 +#define __lbLOWKBITS 30656 +#define __iAbsMask 30720 +#define __iDomainRange 30784 + +.macro double_vector offset value +.if .-__svml_spow_data != \offset +.err +.endif +.rept 8 +.quad \value +.endr +.endm + +.macro float_vector offset value +.if .-__svml_spow_data != \offset +.err +.endif +.rept 16 +.long \value +.endr +.endm + +#endif diff --git a/sysdeps/x86_64/fpu/svml_s_wrapper_impl.h b/sysdeps/x86_64/fpu/svml_s_wrapper_impl.h index d5b62eea42..f88e30f054 100644 --- a/sysdeps/x86_64/fpu/svml_s_wrapper_impl.h +++ b/sysdeps/x86_64/fpu/svml_s_wrapper_impl.h @@ -44,6 +44,38 @@ ret .endm +/* 2 argument SSE2 ISA version as wrapper to scalar. */ +.macro WRAPPER_IMPL_SSE2_ff callee + subq $56, %rsp + cfi_adjust_cfa_offset(56) + movaps %xmm0, (%rsp) + movaps %xmm1, 16(%rsp) + call \callee@PLT + movss %xmm0, 32(%rsp) + movss 4(%rsp), %xmm0 + movss 20(%rsp), %xmm1 + call \callee@PLT + movss %xmm0, 36(%rsp) + movss 8(%rsp), %xmm0 + movss 24(%rsp), %xmm1 + call \callee@PLT + movss %xmm0, 40(%rsp) + movss 12(%rsp), %xmm0 + movss 28(%rsp), %xmm1 + call \callee@PLT + movss 32(%rsp), %xmm3 + movss 36(%rsp), %xmm2 + movss 40(%rsp), %xmm1 + movss %xmm0, 44(%rsp) + unpcklps %xmm1, %xmm3 + unpcklps %xmm0, %xmm2 + unpcklps %xmm2, %xmm3 + movaps %xmm3, %xmm0 + addq $56, %rsp + cfi_adjust_cfa_offset(-56) + ret +.endm + /* AVX/AVX2 ISA version as wrapper to SSE ISA version. */ .macro WRAPPER_IMPL_AVX callee pushq %rbp @@ -70,6 +102,34 @@ ret .endm +/* 2 argument AVX/AVX2 ISA version as wrapper to SSE ISA version. */ +.macro WRAPPER_IMPL_AVX_ff callee + pushq %rbp + cfi_adjust_cfa_offset (8) + cfi_rel_offset (%rbp, 0) + movq %rsp, %rbp + cfi_def_cfa_register (%rbp) + andq $-32, %rsp + subq $64, %rsp + vextractf128 $1, %ymm0, 16(%rsp) + vextractf128 $1, %ymm1, (%rsp) + vzeroupper + call HIDDEN_JUMPTARGET(\callee) + vmovaps %xmm0, 32(%rsp) + vmovaps 16(%rsp), %xmm0 + vmovaps (%rsp), %xmm1 + call HIDDEN_JUMPTARGET(\callee) + vmovaps %xmm0, %xmm1 + vmovaps 32(%rsp), %xmm0 + vinsertf128 $1, %xmm1, %ymm0, %ymm0 + movq %rbp, %rsp + cfi_def_cfa_register (%rsp) + popq %rbp + cfi_adjust_cfa_offset (-8) + cfi_restore (%rbp) + ret +.endm + /* AVX512 ISA version as wrapper to AVX2 ISA version. */ .macro WRAPPER_IMPL_AVX512 callee pushq %rbp @@ -109,3 +169,65 @@ cfi_restore (%rbp) ret .endm + +/* 2 argument AVX512 ISA version as wrapper to AVX2 ISA version. */ +.macro WRAPPER_IMPL_AVX512_ff callee + pushq %rbp + cfi_adjust_cfa_offset (8) + cfi_rel_offset (%rbp, 0) + movq %rsp, %rbp + cfi_def_cfa_register (%rbp) + andq $-64, %rsp + subq $128, %rsp +/* Below is encoding for vmovaps %zmm0, (%rsp). */ + .byte 0x62 + .byte 0xf1 + .byte 0x7c + .byte 0x48 + .byte 0x29 + .byte 0x04 + .byte 0x24 +/* Below is encoding for vmovaps %zmm1, 64(%rsp). */ + .byte 0x62 + .byte 0xf1 + .byte 0x7c + .byte 0x48 + .byte 0x29 + .byte 0x4c + .byte 0x24 +/* Below is encoding for vmovaps (%rsp), %ymm0. */ + .byte 0xc5 + .byte 0xfc + .byte 0x28 + .byte 0x04 + .byte 0x24 +/* Below is encoding for vmovaps 64(%rsp), %ymm1. */ + .byte 0xc5 + .byte 0xfc + .byte 0x28 + .byte 0x4c + .byte 0x24 + .byte 0x40 + call HIDDEN_JUMPTARGET(\callee) +/* Below is encoding for vmovaps 32(%rsp), %ymm0. */ + .byte 0xc5 + .byte 0xfc + .byte 0x28 + .byte 0x44 + .byte 0x24 + .byte 0x20 +/* Below is encoding for vmovaps 96(%rsp), %ymm1. */ + .byte 0xc5 + .byte 0xfc + .byte 0x28 + .byte 0x4c + .byte 0x24 + .byte 0x60 + call HIDDEN_JUMPTARGET(\callee) + movq %rbp, %rsp + cfi_def_cfa_register (%rsp) + popq %rbp + cfi_adjust_cfa_offset (-8) + cfi_restore (%rbp) + ret +.endm diff --git a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c index 19c249a4f0..00a1074f2c 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c @@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosf), _ZGVeN16v_cosf) VECTOR_WRAPPER (WRAPPER_NAME (sinf), _ZGVeN16v_sinf) VECTOR_WRAPPER (WRAPPER_NAME (logf), _ZGVeN16v_logf) VECTOR_WRAPPER (WRAPPER_NAME (expf), _ZGVeN16v_expf) +VECTOR_WRAPPER_ff (WRAPPER_NAME (powf), _ZGVeN16vv_powf) diff --git a/sysdeps/x86_64/fpu/test-float-vlen16.c b/sysdeps/x86_64/fpu/test-float-vlen16.c index 09514c4f40..86b8c33632 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen16.c +++ b/sysdeps/x86_64/fpu/test-float-vlen16.c @@ -22,6 +22,7 @@ #define TEST_VECTOR_sinf 1 #define TEST_VECTOR_logf 1 #define TEST_VECTOR_expf 1 +#define TEST_VECTOR_powf 1 #define REQUIRE_AVX512F diff --git a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c index 55bd026f3b..7d41e46c4a 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c @@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosf), _ZGVbN4v_cosf) VECTOR_WRAPPER (WRAPPER_NAME (sinf), _ZGVbN4v_sinf) VECTOR_WRAPPER (WRAPPER_NAME (logf), _ZGVbN4v_logf) VECTOR_WRAPPER (WRAPPER_NAME (expf), _ZGVbN4v_expf) +VECTOR_WRAPPER_ff (WRAPPER_NAME (powf), _ZGVbN4vv_powf) diff --git a/sysdeps/x86_64/fpu/test-float-vlen4.c b/sysdeps/x86_64/fpu/test-float-vlen4.c index df31593507..3e74118be0 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen4.c +++ b/sysdeps/x86_64/fpu/test-float-vlen4.c @@ -22,5 +22,6 @@ #define TEST_VECTOR_sinf 1 #define TEST_VECTOR_logf 1 #define TEST_VECTOR_expf 1 +#define TEST_VECTOR_powf 1 #include "libm-test.c" diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c index 637949b61c..ed1c893157 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c @@ -29,3 +29,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosf), _ZGVdN8v_cosf) VECTOR_WRAPPER (WRAPPER_NAME (sinf), _ZGVdN8v_sinf) VECTOR_WRAPPER (WRAPPER_NAME (logf), _ZGVdN8v_logf) VECTOR_WRAPPER (WRAPPER_NAME (expf), _ZGVdN8v_expf) +VECTOR_WRAPPER_ff (WRAPPER_NAME (powf), _ZGVdN8vv_powf) diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-avx2.c b/sysdeps/x86_64/fpu/test-float-vlen8-avx2.c index e550f4d0c8..f0aaec17a5 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2.c @@ -25,6 +25,7 @@ #define TEST_VECTOR_sinf 1 #define TEST_VECTOR_logf 1 #define TEST_VECTOR_expf 1 +#define TEST_VECTOR_powf 1 #define REQUIRE_AVX2 diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c index 3b0a63d594..37bf7020f9 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c @@ -26,3 +26,4 @@ VECTOR_WRAPPER (WRAPPER_NAME (cosf), _ZGVcN8v_cosf) VECTOR_WRAPPER (WRAPPER_NAME (sinf), _ZGVcN8v_sinf) VECTOR_WRAPPER (WRAPPER_NAME (logf), _ZGVcN8v_logf) VECTOR_WRAPPER (WRAPPER_NAME (expf), _ZGVcN8v_expf) +VECTOR_WRAPPER_ff (WRAPPER_NAME (powf), _ZGVcN8vv_powf) diff --git a/sysdeps/x86_64/fpu/test-float-vlen8.c b/sysdeps/x86_64/fpu/test-float-vlen8.c index db5b2e592b..ef2aedc845 100644 --- a/sysdeps/x86_64/fpu/test-float-vlen8.c +++ b/sysdeps/x86_64/fpu/test-float-vlen8.c @@ -22,5 +22,6 @@ #define TEST_VECTOR_sinf 1 #define TEST_VECTOR_logf 1 #define TEST_VECTOR_expf 1 +#define TEST_VECTOR_powf 1 #include "libm-test.c" |