| /* Function sincos vectorized with SSE4. |
| Copyright (C) 2014-2018 Free Software Foundation, Inc. |
| This file is part of the GNU C Library. |
| |
| The GNU C Library is free software; you can redistribute it and/or |
| modify it under the terms of the GNU Lesser General Public |
| License as published by the Free Software Foundation; either |
| version 2.1 of the License, or (at your option) any later version. |
| |
| The GNU C Library is distributed in the hope that it will be useful, |
| but WITHOUT ANY WARRANTY; without even the implied warranty of |
| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU C Library; if not, see |
| <http://www.gnu.org/licenses/>. */ |
| |
| #include <sysdep.h> |
| #include "svml_d_trig_data.h" |
| |
| .text |
| ENTRY (_ZGVbN2vl8l8_sincos_sse4) |
| /* |
| ALGORITHM DESCRIPTION: |
| |
| ( low accuracy ( < 4ulp ) or enhanced performance |
| ( half of correct mantissa ) implementation ) |
| |
| Argument representation: |
| arg = N*Pi + R |
| |
| Result calculation: |
| sin(arg) = sin(N*Pi + R) = (-1)^N * sin(R) |
| arg + Pi/2 = (N'*Pi + R') |
| cos(arg) = sin(arg+Pi/2) = sin(N'*Pi + R') = (-1)^N' * sin(R') |
| sin(R), sin(R') are approximated by corresponding polynomial. */ |
| |
| pushq %rbp |
| cfi_adjust_cfa_offset (8) |
| cfi_rel_offset (%rbp, 0) |
| movq %rsp, %rbp |
| cfi_def_cfa_register (%rbp) |
| andq $-64, %rsp |
| subq $320, %rsp |
| movq __svml_d_trig_data@GOTPCREL(%rip), %rax |
| movups %xmm11, 160(%rsp) |
| movups %xmm12, 144(%rsp) |
| movups __dSignMask(%rax), %xmm11 |
| |
| /* ARGUMENT RANGE REDUCTION: |
| Absolute argument: X' = |X| */ |
| movaps %xmm11, %xmm4 |
| |
| /* Grab sign bit from argument */ |
| movaps %xmm11, %xmm7 |
| movups __dInvPI(%rax), %xmm5 |
| andnps %xmm0, %xmm4 |
| |
| /* SinY = X'*InvPi + RS : right shifter add */ |
| mulpd %xmm4, %xmm5 |
| addpd __dRShifter(%rax), %xmm5 |
| |
| /* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */ |
| movaps %xmm5, %xmm12 |
| andps %xmm0, %xmm7 |
| |
| /* SinN = Y - RS : right shifter sub */ |
| subpd __dRShifter(%rax), %xmm5 |
| movups %xmm10, 176(%rsp) |
| psllq $63, %xmm12 |
| movups __dPI1(%rax), %xmm10 |
| |
| /* SinR = X' - SinN*Pi1 */ |
| movaps %xmm10, %xmm1 |
| mulpd %xmm5, %xmm1 |
| movups __dPI2(%rax), %xmm6 |
| |
| /* SinR = SinR - SinN*Pi1 */ |
| movaps %xmm6, %xmm2 |
| mulpd %xmm5, %xmm2 |
| movups %xmm13, 112(%rsp) |
| movaps %xmm4, %xmm13 |
| subpd %xmm1, %xmm13 |
| subpd %xmm2, %xmm13 |
| |
| /* Sine result sign: SinRSign = SignMask & SinR */ |
| movaps %xmm11, %xmm2 |
| |
| /* CosR = SinX - CosN*Pi1 */ |
| movaps %xmm4, %xmm1 |
| movups __dOneHalf(%rax), %xmm3 |
| andps %xmm13, %xmm2 |
| |
| /* Set SinRSign to 0.5 */ |
| orps %xmm2, %xmm3 |
| |
| /* Update CosRSign and CosSignRes signs */ |
| xorps %xmm11, %xmm2 |
| |
| /* CosN = SinN +(-)0.5 */ |
| addpd %xmm5, %xmm3 |
| cmpnlepd __dRangeVal(%rax), %xmm4 |
| mulpd %xmm3, %xmm10 |
| |
| /* CosR = CosR - CosN*Pi2 */ |
| mulpd %xmm3, %xmm6 |
| subpd %xmm10, %xmm1 |
| movmskpd %xmm4, %ecx |
| movups __dPI3(%rax), %xmm10 |
| xorps %xmm12, %xmm2 |
| subpd %xmm6, %xmm1 |
| |
| /* SinR = SinR - SinN*Pi3 */ |
| movaps %xmm10, %xmm6 |
| |
| /* Final reconstruction. |
| Combine Sin result's sign */ |
| xorps %xmm7, %xmm12 |
| mulpd %xmm5, %xmm6 |
| |
| /* CosR = CosR - CosN*Pi3 */ |
| mulpd %xmm3, %xmm10 |
| subpd %xmm6, %xmm13 |
| subpd %xmm10, %xmm1 |
| movups __dPI4(%rax), %xmm6 |
| |
| /* SinR = SinR - SinN*Pi4 */ |
| mulpd %xmm6, %xmm5 |
| |
| /* CosR = CosR - CosN*Pi4 */ |
| mulpd %xmm6, %xmm3 |
| subpd %xmm5, %xmm13 |
| subpd %xmm3, %xmm1 |
| |
| /* SinR2 = SinR^2 */ |
| movaps %xmm13, %xmm6 |
| |
| /* CosR2 = CosR^2 */ |
| movaps %xmm1, %xmm10 |
| mulpd %xmm13, %xmm6 |
| mulpd %xmm1, %xmm10 |
| |
| /* Polynomial approximation */ |
| movups __dC7(%rax), %xmm5 |
| movaps %xmm5, %xmm3 |
| mulpd %xmm6, %xmm3 |
| mulpd %xmm10, %xmm5 |
| addpd __dC6(%rax), %xmm3 |
| addpd __dC6(%rax), %xmm5 |
| mulpd %xmm6, %xmm3 |
| mulpd %xmm10, %xmm5 |
| addpd __dC5(%rax), %xmm3 |
| addpd __dC5(%rax), %xmm5 |
| mulpd %xmm6, %xmm3 |
| mulpd %xmm10, %xmm5 |
| addpd __dC4(%rax), %xmm3 |
| addpd __dC4(%rax), %xmm5 |
| |
| /* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */ |
| mulpd %xmm6, %xmm3 |
| |
| /* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */ |
| mulpd %xmm10, %xmm5 |
| addpd __dC3(%rax), %xmm3 |
| addpd __dC3(%rax), %xmm5 |
| |
| /* SinPoly = C2 + SinR2*SinPoly */ |
| mulpd %xmm6, %xmm3 |
| |
| /* CosPoly = C2 + CosR2*CosPoly */ |
| mulpd %xmm10, %xmm5 |
| addpd __dC2(%rax), %xmm3 |
| addpd __dC2(%rax), %xmm5 |
| |
| /* SinPoly = C1 + SinR2*SinPoly */ |
| mulpd %xmm6, %xmm3 |
| |
| /* CosPoly = C1 + CosR2*CosPoly */ |
| mulpd %xmm10, %xmm5 |
| addpd __dC1(%rax), %xmm3 |
| addpd __dC1(%rax), %xmm5 |
| |
| /* SinPoly = SinR2*SinPoly */ |
| mulpd %xmm3, %xmm6 |
| |
| /* CosPoly = CosR2*CosPoly */ |
| mulpd %xmm5, %xmm10 |
| |
| /* SinPoly = SinR*SinPoly */ |
| mulpd %xmm13, %xmm6 |
| |
| /* CosPoly = CosR*CosPoly */ |
| mulpd %xmm1, %xmm10 |
| addpd %xmm6, %xmm13 |
| addpd %xmm10, %xmm1 |
| |
| /* Update Sin result's sign */ |
| xorps %xmm12, %xmm13 |
| |
| /* Update Cos result's sign */ |
| xorps %xmm2, %xmm1 |
| testl %ecx, %ecx |
| jne .LBL_1_3 |
| |
| .LBL_1_2: |
| cfi_remember_state |
| movups 176(%rsp), %xmm10 |
| movaps %xmm13, (%rdi) |
| movups 160(%rsp), %xmm11 |
| movups 144(%rsp), %xmm12 |
| movups 112(%rsp), %xmm13 |
| movups %xmm1, (%rsi) |
| 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, 128(%rsp) |
| movups %xmm13, 192(%rsp) |
| movups %xmm1, 256(%rsp) |
| je .LBL_1_2 |
| |
| xorb %dl, %dl |
| xorl %eax, %eax |
| movups %xmm8, 48(%rsp) |
| movups %xmm9, 32(%rsp) |
| movups %xmm14, 16(%rsp) |
| movups %xmm15, (%rsp) |
| movq %rsi, 64(%rsp) |
| movq %r12, 104(%rsp) |
| cfi_offset_rel_rsp (12, 104) |
| movb %dl, %r12b |
| movq %r13, 96(%rsp) |
| cfi_offset_rel_rsp (13, 96) |
| movl %eax, %r13d |
| movq %r14, 88(%rsp) |
| cfi_offset_rel_rsp (14, 88) |
| movl %ecx, %r14d |
| movq %r15, 80(%rsp) |
| cfi_offset_rel_rsp (15, 80) |
| movq %rbx, 72(%rsp) |
| movq %rdi, %rbx |
| cfi_remember_state |
| |
| .LBL_1_6: |
| btl %r13d, %r14d |
| jc .LBL_1_13 |
| |
| .LBL_1_7: |
| lea 1(%r13), %esi |
| btl %esi, %r14d |
| jc .LBL_1_10 |
| |
| .LBL_1_8: |
| incb %r12b |
| addl $2, %r13d |
| cmpb $16, %r12b |
| jb .LBL_1_6 |
| |
| movups 48(%rsp), %xmm8 |
| movq %rbx, %rdi |
| movups 32(%rsp), %xmm9 |
| movups 16(%rsp), %xmm14 |
| movups (%rsp), %xmm15 |
| movq 64(%rsp), %rsi |
| movq 104(%rsp), %r12 |
| cfi_restore (%r12) |
| movq 96(%rsp), %r13 |
| cfi_restore (%r13) |
| movq 88(%rsp), %r14 |
| cfi_restore (%r14) |
| movq 80(%rsp), %r15 |
| cfi_restore (%r15) |
| movq 72(%rsp), %rbx |
| movups 192(%rsp), %xmm13 |
| movups 256(%rsp), %xmm1 |
| jmp .LBL_1_2 |
| |
| .LBL_1_10: |
| cfi_restore_state |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| movsd 136(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(sin) |
| |
| movsd %xmm0, 200(%rsp,%r15) |
| movsd 136(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(cos) |
| |
| movsd %xmm0, 264(%rsp,%r15) |
| jmp .LBL_1_8 |
| |
| .LBL_1_13: |
| movzbl %r12b, %r15d |
| shlq $4, %r15 |
| movsd 128(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(sin) |
| |
| movsd %xmm0, 192(%rsp,%r15) |
| movsd 128(%rsp,%r15), %xmm0 |
| |
| call JUMPTARGET(cos) |
| |
| movsd %xmm0, 256(%rsp,%r15) |
| jmp .LBL_1_7 |
| END (_ZGVbN2vl8l8_sincos_sse4) |
| libmvec_hidden_def(_ZGVbN2vl8l8_sincos_sse4) |
| |
| /* vvv version implemented with wrapper to vl8l8 variant. */ |
| ENTRY (_ZGVbN2vvv_sincos_sse4) |
| #ifndef __ILP32__ |
| subq $72, %rsp |
| .cfi_def_cfa_offset 80 |
| movdqu %xmm1, 32(%rsp) |
| lea (%rsp), %rdi |
| movdqu %xmm2, 48(%rdi) |
| lea 16(%rsp), %rsi |
| call HIDDEN_JUMPTARGET(_ZGVbN2vl8l8_sincos_sse4) |
| movq 32(%rsp), %rdx |
| movq 48(%rsp), %rsi |
| movq 40(%rsp), %r8 |
| movq 56(%rsp), %r10 |
| movq (%rsp), %rax |
| movq 16(%rsp), %rcx |
| movq 8(%rsp), %rdi |
| movq 24(%rsp), %r9 |
| movq %rax, (%rdx) |
| movq %rcx, (%rsi) |
| movq %rdi, (%r8) |
| movq %r9, (%r10) |
| addq $72, %rsp |
| .cfi_def_cfa_offset 8 |
| ret |
| #else |
| subl $72, %esp |
| .cfi_def_cfa_offset 80 |
| leal 48(%rsp), %esi |
| movaps %xmm1, 16(%esp) |
| leal 32(%rsp), %edi |
| movaps %xmm2, (%esp) |
| call HIDDEN_JUMPTARGET(_ZGVbN2vl8l8_sincos_sse4) |
| movdqa 16(%esp), %xmm1 |
| movsd 32(%esp), %xmm0 |
| movq %xmm1, %rax |
| movdqa (%esp), %xmm2 |
| movsd %xmm0, (%eax) |
| movsd 40(%esp), %xmm0 |
| pextrd $1, %xmm1, %eax |
| movsd %xmm0, (%eax) |
| movsd 48(%esp), %xmm0 |
| movq %xmm2, %rax |
| movsd %xmm0, (%eax) |
| movsd 56(%esp), %xmm0 |
| pextrd $1, %xmm2, %eax |
| movsd %xmm0, (%eax) |
| addl $72, %esp |
| .cfi_def_cfa_offset 8 |
| ret |
| #endif |
| END (_ZGVbN2vvv_sincos_sse4) |
