diff options
Diffstat (limited to 'REORG.TODO/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S')
| -rw-r--r-- | REORG.TODO/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S | 357 |
1 files changed, 357 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S b/REORG.TODO/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S new file mode 100644 index 0000000000..683932f410 --- /dev/null +++ b/REORG.TODO/sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core_avx2.S @@ -0,0 +1,357 @@ +/* Function powf vectorized with AVX2. + Copyright (C) 2014-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <sysdep.h> +#include "svml_s_powf_data.h" + + .text +ENTRY(_ZGVdN8vv_powf_avx2) +/* + ALGORITHM DESCRIPTION: + + We are using the next identity : pow(x,y) = 2^(y * log2(x)). + + 1) log2(x) calculation + Here we use the following formula. + Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2. + Let C ~= 1/ln(2), + Rcp1 ~= 1/X1, X2=Rcp1*X1, + Rcp2 ~= 1/X2, X3=Rcp2*X2, + Rcp3 ~= 1/X3, Rcp3C ~= C/X3. + Then + log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) + + log2(X1*Rcp1*Rcp2*Rcp3C/C), + where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small. + + The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2), + Rcp3C, log2(C/Rcp3C) are taken from tables. + Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C + is exactly represented in target precision. + + log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 = + = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... = + = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... = + = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ..., + where + cq=X1*Rcp1*Rcp2*Rcp3C-C, + a1=1/(C*ln(2))-1 is small, + a2=1/(2*C^2*ln2), + a3=1/(3*C^3*ln2), + ... + Log2 result is split by three parts: HH+HL+HLL + + 2) Calculation of y*log2(x) + Split y into YHi+YLo. + Get high PH and medium PL parts of y*log2|x|. + Get low PLL part of y*log2|x|. + Now we have PH+PL+PLL ~= y*log2|x|. + + 3) Calculation of 2^(y*log2(x)) + Let's represent PH+PL+PLL in the form N + j/2^expK + Z, + where expK=7 in this implementation, N and j are integers, + 0<=j<=2^expK-1, |Z|<2^(-expK-1). Hence + 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z, + where 2^(j/2^expK) is stored in a table, and + 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5. + We compute 2^(PH+PL+PLL) as follows: + Break PH into PHH + PHL, where PHH = N + j/2^expK. + Z = PHL + PL + PLL + Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5 + Get 2^(j/2^expK) from table in the form THI+TLO. + Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly). + Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo: + ResHi := THI + ResLo := THI * Exp2Poly + TLO + Get exponent ERes of the result: + Res := ResHi + ResLo: + Result := ex(Res) + N. */ + + pushq %rbp + cfi_adjust_cfa_offset (8) + cfi_rel_offset (%rbp, 0) + movq %rsp, %rbp + cfi_def_cfa_register (%rbp) + andq $-64, %rsp + subq $448, %rsp + lea __VPACK_ODD_ind.6357.0.1(%rip), %rcx + vmovups %ymm14, 320(%rsp) + +/* hi bits */ + lea __VPACK_ODD_ind.6358.0.1(%rip), %rax + vmovups %ymm12, 256(%rsp) + vmovups %ymm9, 96(%rsp) + vmovups %ymm13, 224(%rsp) + vmovups %ymm15, 352(%rsp) + vmovups %ymm11, 384(%rsp) + vmovups %ymm10, 288(%rsp) + vmovups (%rcx), %ymm10 + vmovups %ymm8, 160(%rsp) + vmovdqa %ymm1, %ymm9 + movq __svml_spow_data@GOTPCREL(%rip), %rdx + vextractf128 $1, %ymm0, %xmm7 + vcvtps2pd %xmm0, %ymm14 + vcvtps2pd %xmm7, %ymm12 + vpsubd _NMINNORM(%rdx), %ymm0, %ymm7 + +/* preserve mantissa, set input exponent to 2^(-10) */ + vandpd _ExpMask(%rdx), %ymm14, %ymm3 + vandpd _ExpMask(%rdx), %ymm12, %ymm13 + +/* exponent bits selection */ + vpsrlq $20, %ymm12, %ymm12 + vpsrlq $20, %ymm14, %ymm14 + vextractf128 $1, %ymm9, %xmm2 + vcvtps2pd %xmm9, %ymm1 + vpand _ABSMASK(%rdx), %ymm9, %ymm8 + vcvtps2pd %xmm2, %ymm6 + vorpd _Two10(%rdx), %ymm3, %ymm2 + vorpd _Two10(%rdx), %ymm13, %ymm3 + +/* reciprocal approximation good to at least 11 bits */ + vcvtpd2ps %ymm2, %xmm5 + vcvtpd2ps %ymm3, %xmm15 + vrcpps %xmm5, %xmm4 + vrcpps %xmm15, %xmm11 + vcvtps2pd %xmm4, %ymm13 + vcvtps2pd %xmm11, %ymm4 + vpermps %ymm12, %ymm10, %ymm11 + +/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ + vroundpd $0, %ymm13, %ymm12 + vpermps %ymm14, %ymm10, %ymm5 + vroundpd $0, %ymm4, %ymm14 + vmovupd _One(%rdx), %ymm4 + +/* table lookup */ + vpsrlq $40, %ymm12, %ymm10 + vfmsub213pd %ymm4, %ymm12, %ymm2 + vfmsub213pd %ymm4, %ymm14, %ymm3 + vcmpgt_oqpd _Threshold(%rdx), %ymm12, %ymm12 + vxorpd %ymm4, %ymm4, %ymm4 + vandpd _Bias(%rdx), %ymm12, %ymm12 + +/* biased exponent in DP format */ + vcvtdq2pd %xmm11, %ymm13 + vpcmpeqd %ymm11, %ymm11, %ymm11 + vgatherqpd %ymm11, _Log2Rcp_lookup(%rdx,%ymm10), %ymm4 + vpsrlq $40, %ymm14, %ymm10 + vcmpgt_oqpd _Threshold(%rdx), %ymm14, %ymm14 + vpcmpeqd %ymm11, %ymm11, %ymm11 + vandpd _Bias(%rdx), %ymm14, %ymm14 + vcvtdq2pd %xmm5, %ymm15 + vxorpd %ymm5, %ymm5, %ymm5 + vgatherqpd %ymm11, _Log2Rcp_lookup(%rdx,%ymm10), %ymm5 + vorpd _Bias1(%rdx), %ymm12, %ymm11 + vorpd _Bias1(%rdx), %ymm14, %ymm10 + vsubpd %ymm11, %ymm15, %ymm11 + vsubpd %ymm10, %ymm13, %ymm14 + vmovupd _poly_coeff_4(%rdx), %ymm15 + vmovupd _poly_coeff_3(%rdx), %ymm13 + vmulpd %ymm3, %ymm3, %ymm10 + vfmadd213pd %ymm15, %ymm3, %ymm13 + vmovdqa %ymm15, %ymm12 + vfmadd231pd _poly_coeff_3(%rdx), %ymm2, %ymm12 + vmulpd %ymm2, %ymm2, %ymm15 + +/* reconstruction */ + vfmadd213pd %ymm3, %ymm10, %ymm13 + vfmadd213pd %ymm2, %ymm15, %ymm12 + vaddpd %ymm5, %ymm13, %ymm13 + vaddpd %ymm4, %ymm12, %ymm2 + vfmadd231pd _L2(%rdx), %ymm14, %ymm13 + vfmadd132pd _L2(%rdx), %ymm2, %ymm11 + vmulpd %ymm6, %ymm13, %ymm2 + vmulpd %ymm1, %ymm11, %ymm10 + vmulpd __dbInvLn2(%rdx), %ymm2, %ymm6 + vmulpd __dbInvLn2(%rdx), %ymm10, %ymm15 + +/* to round down; if dR is an integer we will get R = 1, which is ok */ + vsubpd __dbHALF(%rdx), %ymm6, %ymm3 + vsubpd __dbHALF(%rdx), %ymm15, %ymm1 + vaddpd __dbShifter(%rdx), %ymm3, %ymm13 + vaddpd __dbShifter(%rdx), %ymm1, %ymm14 + vsubpd __dbShifter(%rdx), %ymm13, %ymm12 + vmovups (%rax), %ymm1 + vsubpd __dbShifter(%rdx), %ymm14, %ymm11 + +/* [0..1) */ + vsubpd %ymm12, %ymm6, %ymm6 + vpermps %ymm10, %ymm1, %ymm3 + vpermps %ymm2, %ymm1, %ymm10 + vpcmpgtd _NMAXVAL(%rdx), %ymm7, %ymm4 + vpcmpgtd _INF(%rdx), %ymm8, %ymm1 + vpcmpeqd _NMAXVAL(%rdx), %ymm7, %ymm7 + vpcmpeqd _INF(%rdx), %ymm8, %ymm8 + vpor %ymm7, %ymm4, %ymm2 + vpor %ymm8, %ymm1, %ymm1 + vsubpd %ymm11, %ymm15, %ymm7 + vinsertf128 $1, %xmm10, %ymm3, %ymm10 + vpor %ymm1, %ymm2, %ymm3 + +/* iAbsX = iAbsX&iAbsMask */ + vandps __iAbsMask(%rdx), %ymm10, %ymm10 + +/* iRangeMask = (iAbsX>iDomainRange) */ + vpcmpgtd __iDomainRange(%rdx), %ymm10, %ymm4 + vpor %ymm4, %ymm3, %ymm5 + vmulpd __dbC1(%rdx), %ymm7, %ymm4 + vmovmskps %ymm5, %ecx + vmulpd __dbC1(%rdx), %ymm6, %ymm5 + +/* low K bits */ + vandps __lbLOWKBITS(%rdx), %ymm14, %ymm6 + +/* dpP= _dbT+lJ*T_ITEM_GRAN */ + vxorpd %ymm7, %ymm7, %ymm7 + vpcmpeqd %ymm1, %ymm1, %ymm1 + vandps __lbLOWKBITS(%rdx), %ymm13, %ymm2 + vxorpd %ymm10, %ymm10, %ymm10 + vpcmpeqd %ymm3, %ymm3, %ymm3 + vgatherqpd %ymm1, 13952(%rdx,%ymm6,8), %ymm7 + vgatherqpd %ymm3, 13952(%rdx,%ymm2,8), %ymm10 + vpsrlq $11, %ymm14, %ymm14 + vpsrlq $11, %ymm13, %ymm13 + vfmadd213pd %ymm7, %ymm4, %ymm7 + vfmadd213pd %ymm10, %ymm5, %ymm10 + +/* NB : including +/- sign for the exponent!! */ + vpsllq $52, %ymm14, %ymm8 + vpsllq $52, %ymm13, %ymm11 + vpaddq %ymm8, %ymm7, %ymm12 + vpaddq %ymm11, %ymm10, %ymm1 + vcvtpd2ps %ymm12, %xmm15 + vcvtpd2ps %ymm1, %xmm2 + vinsertf128 $1, %xmm2, %ymm15, %ymm1 + testl %ecx, %ecx + jne .LBL_1_3 + +.LBL_1_2: + cfi_remember_state + vmovups 160(%rsp), %ymm8 + vmovups 96(%rsp), %ymm9 + vmovups 288(%rsp), %ymm10 + vmovups 384(%rsp), %ymm11 + vmovups 256(%rsp), %ymm12 + vmovups 224(%rsp), %ymm13 + vmovups 320(%rsp), %ymm14 + vmovups 352(%rsp), %ymm15 + vmovdqa %ymm1, %ymm0 + movq %rbp, %rsp + cfi_def_cfa_register (%rsp) + popq %rbp + cfi_adjust_cfa_offset (-8) + cfi_restore (%rbp) + ret + +.LBL_1_3: + cfi_restore_state + vmovups %ymm0, 64(%rsp) + vmovups %ymm9, 128(%rsp) + vmovups %ymm1, 192(%rsp) + je .LBL_1_2 + + xorb %dl, %dl + xorl %eax, %eax + movq %rsi, 8(%rsp) + movq %rdi, (%rsp) + movq %r12, 40(%rsp) + cfi_offset_rel_rsp (12, 40) + movb %dl, %r12b + movq %r13, 32(%rsp) + cfi_offset_rel_rsp (13, 32) + movl %ecx, %r13d + movq %r14, 24(%rsp) + cfi_offset_rel_rsp (14, 24) + movl %eax, %r14d + movq %r15, 16(%rsp) + cfi_offset_rel_rsp (15, 16) + cfi_remember_state + +.LBL_1_6: + btl %r14d, %r13d + jc .LBL_1_12 + +.LBL_1_7: + lea 1(%r14), %esi + btl %esi, %r13d + jc .LBL_1_10 + +.LBL_1_8: + incb %r12b + addl $2, %r14d + cmpb $16, %r12b + jb .LBL_1_6 + + movq 8(%rsp), %rsi + movq (%rsp), %rdi + movq 40(%rsp), %r12 + cfi_restore (%r12) + movq 32(%rsp), %r13 + cfi_restore (%r13) + movq 24(%rsp), %r14 + cfi_restore (%r14) + movq 16(%rsp), %r15 + cfi_restore (%r15) + vmovups 192(%rsp), %ymm1 + jmp .LBL_1_2 + +.LBL_1_10: + cfi_restore_state + movzbl %r12b, %r15d + vmovss 68(%rsp,%r15,8), %xmm0 + vmovss 132(%rsp,%r15,8), %xmm1 + vzeroupper + + call JUMPTARGET(__powf_finite) + + vmovss %xmm0, 196(%rsp,%r15,8) + jmp .LBL_1_8 + +.LBL_1_12: + movzbl %r12b, %r15d + vmovss 64(%rsp,%r15,8), %xmm0 + vmovss 128(%rsp,%r15,8), %xmm1 + vzeroupper + + call JUMPTARGET(__powf_finite) + + vmovss %xmm0, 192(%rsp,%r15,8) + jmp .LBL_1_7 + +END(_ZGVdN8vv_powf_avx2) + + .section .rodata, "a" +__VPACK_ODD_ind.6357.0.1: + .long 1 + .long 3 + .long 5 + .long 7 + .long 0 + .long 0 + .long 0 + .long 0 + .space 32, 0x00 +__VPACK_ODD_ind.6358.0.1: + .long 1 + .long 3 + .long 5 + .long 7 + .long 0 + .long 0 + .long 0 + .long 0 |