diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_d_acos8_core_avx512.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_d_acos8_core_avx512.S | 307 |
1 files changed, 307 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_acos8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_acos8_core_avx512.S new file mode 100644 index 0000000..521ff73 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_acos8_core_avx512.S @@ -0,0 +1,307 @@ +/* Function acos vectorized with AVX-512. + Copyright (C) 2021 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 + https://www.gnu.org/licenses/. */ + +/* + * ALGORITHM DESCRIPTION: + * + * SelMask = (|x| >= 0.5) ? 1 : 0; + * R = SelMask ? sqrt(0.5 - 0.5*|x|) : |x| + * acos(|x|) = SelMask ? 2*Poly(R) : (Pi/2 - Poly(R)) + * acos(x) = sign(x) ? (Pi - acos(|x|)) : acos(|x|) + * + */ + +/* Offsets for data table __svml_dacos_data_internal + */ +#define SgnBit 0 +#define OneHalf 64 +#define SmallNorm 128 +#define MOne 192 +#define Two 256 +#define sqrt_coeff_1 320 +#define sqrt_coeff_2 384 +#define sqrt_coeff_3 448 +#define sqrt_coeff_4 512 +#define poly_coeff_1 576 +#define poly_coeff_2 640 +#define poly_coeff_3 704 +#define poly_coeff_4 768 +#define poly_coeff_5 832 +#define poly_coeff_6 896 +#define poly_coeff_7 960 +#define poly_coeff_8 1024 +#define poly_coeff_9 1088 +#define poly_coeff_10 1152 +#define poly_coeff_11 1216 +#define poly_coeff_12 1280 +#define PiH 1344 +#define Pi2H 1408 + +#include <sysdep.h> + + .text + .section .text.evex512,"ax",@progbits +ENTRY(_ZGVeN8v_acos_skx) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-64, %rsp + subq $192, %rsp + vmovups __svml_dacos_data_internal(%rip), %zmm7 + vmovups OneHalf+__svml_dacos_data_internal(%rip), %zmm8 + +/* S ~ 2*sqrt(Y) */ + vmovups SmallNorm+__svml_dacos_data_internal(%rip), %zmm11 + vmovups Two+__svml_dacos_data_internal(%rip), %zmm14 + vmovups sqrt_coeff_1+__svml_dacos_data_internal(%rip), %zmm15 + vmovups sqrt_coeff_2+__svml_dacos_data_internal(%rip), %zmm2 + vmovups sqrt_coeff_3+__svml_dacos_data_internal(%rip), %zmm1 + vmovups MOne+__svml_dacos_data_internal(%rip), %zmm10 + vmovaps %zmm0, %zmm6 + +/* x = -|arg| */ + vorpd %zmm6, %zmm7, %zmm5 + vandpd %zmm6, %zmm7, %zmm4 + +/* Y = 0.5 + 0.5*(-x) */ + vfmadd231pd {rn-sae}, %zmm5, %zmm8, %zmm8 + +/* x^2 */ + vmulpd {rn-sae}, %zmm5, %zmm5, %zmm9 + vrsqrt14pd %zmm8, %zmm12 + vcmppd $17, {sae}, %zmm11, %zmm8, %k1 + vcmppd $17, {sae}, %zmm10, %zmm5, %k0 + vmovups poly_coeff_5+__svml_dacos_data_internal(%rip), %zmm10 + vmovups poly_coeff_7+__svml_dacos_data_internal(%rip), %zmm11 + vminpd {sae}, %zmm8, %zmm9, %zmm3 + vmovups poly_coeff_3+__svml_dacos_data_internal(%rip), %zmm9 + vxorpd %zmm12, %zmm12, %zmm12{%k1} + vaddpd {rn-sae}, %zmm8, %zmm8, %zmm0 + vcmppd $21, {sae}, %zmm8, %zmm3, %k4 + +/* X<X^2 iff X<0 */ + vcmppd $17, {sae}, %zmm3, %zmm6, %k2 + vmulpd {rn-sae}, %zmm12, %zmm12, %zmm13 + vmulpd {rn-sae}, %zmm12, %zmm0, %zmm7 + vmovups poly_coeff_4+__svml_dacos_data_internal(%rip), %zmm12 + +/* polynomial */ + vmovups poly_coeff_1+__svml_dacos_data_internal(%rip), %zmm8 + vfmsub213pd {rn-sae}, %zmm14, %zmm13, %zmm0 + vmovups sqrt_coeff_4+__svml_dacos_data_internal(%rip), %zmm13 + vfmadd231pd {rn-sae}, %zmm3, %zmm9, %zmm12 + vmovups poly_coeff_11+__svml_dacos_data_internal(%rip), %zmm9 + vfmadd231pd {rn-sae}, %zmm0, %zmm15, %zmm2 + vmovups poly_coeff_9+__svml_dacos_data_internal(%rip), %zmm15 + vmulpd {rn-sae}, %zmm0, %zmm7, %zmm14 + vfmadd213pd {rn-sae}, %zmm1, %zmm0, %zmm2 + vmovups poly_coeff_2+__svml_dacos_data_internal(%rip), %zmm1 + kmovw %k0, %edx + vfmadd213pd {rn-sae}, %zmm13, %zmm0, %zmm2 + vfmadd231pd {rn-sae}, %zmm3, %zmm8, %zmm1 + vmovups poly_coeff_10+__svml_dacos_data_internal(%rip), %zmm8 + vmulpd {rn-sae}, %zmm3, %zmm3, %zmm0 + vfnmadd213pd {rn-sae}, %zmm7, %zmm14, %zmm2 + vmovups poly_coeff_6+__svml_dacos_data_internal(%rip), %zmm7 + vfmadd231pd {rn-sae}, %zmm3, %zmm15, %zmm8 + vfmadd213pd {rn-sae}, %zmm12, %zmm0, %zmm1 + vblendmpd %zmm2, %zmm5, %zmm2{%k4} + vfmadd231pd {rn-sae}, %zmm3, %zmm10, %zmm7 + vmovups poly_coeff_8+__svml_dacos_data_internal(%rip), %zmm10 + vfmadd231pd {rn-sae}, %zmm3, %zmm11, %zmm10 + vmovups poly_coeff_12+__svml_dacos_data_internal(%rip), %zmm11 + kandw %k4, %k2, %k3 + vfmadd213pd {rn-sae}, %zmm10, %zmm0, %zmm7 + vfmadd231pd {rn-sae}, %zmm3, %zmm9, %zmm11 + vmulpd {rn-sae}, %zmm0, %zmm0, %zmm10 + vfmadd213pd {rn-sae}, %zmm7, %zmm10, %zmm1 + vfmadd213pd {rn-sae}, %zmm8, %zmm0, %zmm1 + vfmadd213pd {rn-sae}, %zmm11, %zmm0, %zmm1 + vmovups Pi2H+__svml_dacos_data_internal(%rip), %zmm0 + vmulpd {rn-sae}, %zmm3, %zmm1, %zmm1 + vxorpd %zmm4, %zmm2, %zmm3 + vxorpd %zmm0, %zmm0, %zmm0{%k4} + vfmadd213pd {rn-sae}, %zmm3, %zmm3, %zmm1 + vorpd PiH+__svml_dacos_data_internal(%rip), %zmm0, %zmm0{%k3} + vaddpd {rn-sae}, %zmm1, %zmm0, %zmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx zmm0 zmm6 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + movq %rbp, %rsp + popq %rbp + cfi_def_cfa(7, 8) + cfi_restore(6) + ret + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + vmovups %zmm6, 64(%rsp) + vmovups %zmm0, 128(%rsp) + # LOE rbx r12 r13 r14 r15 edx zmm0 + + xorl %eax, %eax + # LOE rbx r12 r13 r14 r15 eax edx + + vzeroupper + movq %r12, 16(%rsp) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + movl %eax, %r12d + movq %r13, 8(%rsp) + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + movl %edx, %r13d + movq %r14, (%rsp) + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $8, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + vmovups 128(%rsp), %zmm0 + +/* Go to exit */ + jmp L(EXIT) + /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22 + /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 zmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 64(%rsp,%r14,8), %xmm0 + call acos@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movsd %xmm0, 128(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx r15 r12d r13d +END(_ZGVeN8v_acos_skx) + + .section .rodata, "a" + .align 64 + +#ifdef __svml_dacos_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(64)) VUINT32 SgnBit[8][2]; + __declspec(align(64)) VUINT32 OneHalf[8][2]; + __declspec(align(64)) VUINT32 SmallNorm[8][2]; + __declspec(align(64)) VUINT32 MOne[8][2]; + __declspec(align(64)) VUINT32 Two[8][2]; + __declspec(align(64)) VUINT32 sqrt_coeff[4][8][2]; + __declspec(align(64)) VUINT32 poly_coeff[12][8][2]; + __declspec(align(64)) VUINT32 PiH[8][2]; + __declspec(align(64)) VUINT32 Pi2H[8][2]; +} __svml_dacos_data_internal; +#endif +__svml_dacos_data_internal: + /*== SgnBit ==*/ + .quad 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000 + /*== OneHalf ==*/ + .align 64 + .quad 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000, 0x3fe0000000000000 + /*== SmallNorm ==*/ + .align 64 + .quad 0x3000000000000000, 0x3000000000000000, 0x3000000000000000, 0x3000000000000000, 0x3000000000000000, 0x3000000000000000, 0x3000000000000000, 0x3000000000000000 + /*== MOne ==*/ + .align 64 + .quad 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000, 0xbff0000000000000 + /*== Two ==*/ + .align 64 + .quad 0x4000000000000000, 0x4000000000000000, 0x4000000000000000, 0x4000000000000000, 0x4000000000000000, 0x4000000000000000, 0x4000000000000000, 0x4000000000000000 + /*== sqrt_coeff[4] ==*/ + .align 64 + .quad 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3, 0xbf918000993B24C3 /* sqrt_coeff4 */ + .quad 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D, 0x3fa400006F70D42D /* sqrt_coeff3 */ + .quad 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97 /* sqrt_coeff2 */ + .quad 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D /* sqrt_coeff1 */ + /*== poly_coeff[12] ==*/ + .align 64 + .quad 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909, 0x3fa07520C70EB909 /* poly_coeff12 */ + .quad 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED /* poly_coeff11 */ + .quad 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE /* poly_coeff10 */ + .quad 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5, 0x3f7A583395D45ED5 /* poly_coeff9 */ + .quad 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6 /* poly_coeff8 */ + .quad 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57 /* poly_coeff7 */ + .quad 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E /* poly_coeff6 */ + .quad 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd /* poly_coeff5 */ + .quad 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE /* poly_coeff4 */ + .quad 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8 /* poly_coeff3 */ + .quad 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE, 0x3fb333333337E0DE /* poly_coeff2 */ + .quad 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C, 0x3fc555555555529C /* poly_coeff1 */ + /*== PiH ==*/ + .align 64 + .quad 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18, 0x400921fb54442d18 + /*== Pi2H ==*/ + .align 64 + .quad 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18, 0x3ff921fb54442d18 + .align 64 + .type __svml_dacos_data_internal,@object + .size __svml_dacos_data_internal,.-__svml_dacos_data_internal |