/* Function asinf vectorized with AVX2. 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| * asin(x) = (SelMask ? (Pi/2 - 2*Poly(R)) : Poly(R))*(-1)^sign(x) * * */ /* Offsets for data table __svml_sasin_data_internal */ #define AbsMask 0 #define OneHalf 32 #define SmallNorm 64 #define One 96 #define Two 128 #define sqrt_coeff 160 #define poly_coeff 224 #define Pi2H 384 #include .text .section .text.avx2,"ax",@progbits ENTRY(_ZGVdN8v_asinf_avx2) pushq %rbp cfi_def_cfa_offset(16) movq %rsp, %rbp cfi_def_cfa(6, 16) cfi_offset(6, -16) andq $-32, %rsp subq $96, %rsp vmovups __svml_sasin_data_internal(%rip), %ymm5 vmovups OneHalf+__svml_sasin_data_internal(%rip), %ymm9 vmovups One+__svml_sasin_data_internal(%rip), %ymm6 vmovaps %ymm0, %ymm4 /* x = |arg| */ vandps %ymm4, %ymm5, %ymm3 /* Y = 0.5 - 0.5*x */ vmovaps %ymm9, %ymm12 vfnmadd231ps %ymm3, %ymm9, %ymm12 /* x^2 */ vmulps %ymm3, %ymm3, %ymm7 vcmplt_oqps %ymm3, %ymm6, %ymm8 /* SQ ~ -2*sqrt(Y) */ vcmplt_oqps SmallNorm+__svml_sasin_data_internal(%rip), %ymm12, %ymm10 vminps %ymm12, %ymm7, %ymm1 vaddps %ymm12, %ymm12, %ymm15 vcmpnlt_uqps %ymm9, %ymm3, %ymm0 vrsqrtps %ymm12, %ymm11 vmovups poly_coeff+64+__svml_sasin_data_internal(%rip), %ymm7 vmulps %ymm1, %ymm1, %ymm6 vmovups sqrt_coeff+__svml_sasin_data_internal(%rip), %ymm9 vfmadd213ps poly_coeff+96+__svml_sasin_data_internal(%rip), %ymm1, %ymm7 vmovmskps %ymm8, %edx /* polynomial */ vmovups poly_coeff+__svml_sasin_data_internal(%rip), %ymm8 vandnps %ymm11, %ymm10, %ymm13 vmulps %ymm13, %ymm13, %ymm14 vfmadd213ps poly_coeff+32+__svml_sasin_data_internal(%rip), %ymm1, %ymm8 vandnps %ymm4, %ymm5, %ymm2 vmulps %ymm15, %ymm13, %ymm5 vfmsub213ps Two+__svml_sasin_data_internal(%rip), %ymm14, %ymm15 vfmadd213ps %ymm7, %ymm6, %ymm8 vfmadd213ps sqrt_coeff+32+__svml_sasin_data_internal(%rip), %ymm15, %ymm9 vmulps %ymm15, %ymm5, %ymm15 vfmadd213ps poly_coeff+128+__svml_sasin_data_internal(%rip), %ymm1, %ymm8 vfmsub213ps %ymm5, %ymm15, %ymm9 vmulps %ymm8, %ymm1, %ymm1 vblendvps %ymm0, %ymm9, %ymm3, %ymm3 vfmadd213ps %ymm3, %ymm3, %ymm1 vandps Pi2H+__svml_sasin_data_internal(%rip), %ymm0, %ymm0 vaddps %ymm1, %ymm0, %ymm10 vxorps %ymm2, %ymm10, %ymm0 testl %edx, %edx /* Go to special inputs processing branch */ jne L(SPECIAL_VALUES_BRANCH) # LOE rbx r12 r13 r14 r15 edx ymm0 ymm4 /* 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 %ymm4, 32(%rsp) vmovups %ymm0, 64(%rsp) # LOE rbx r12 r13 r14 r15 edx ymm0 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: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 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: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 movl %edx, %r13d movq %r14, (%rsp) /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 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 64(%rsp), %ymm0 /* Go to exit */ jmp L(EXIT) /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -80; DW_OP_plus) */ .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22 /* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -88; DW_OP_plus) */ .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa8, 0xff, 0xff, 0xff, 0x22 /* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -96; DW_OP_plus) */ .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22 # LOE rbx r12 r13 r14 r15 ymm0 /* Scalar math fucntion call * to process special input */ L(SCALAR_MATH_CALL): movl %r12d, %r14d movss 32(%rsp,%r14,4), %xmm0 call asinf@PLT # LOE rbx r14 r15 r12d r13d xmm0 movss %xmm0, 64(%rsp,%r14,4) /* Process special inputs in loop */ jmp L(SPECIAL_VALUES_LOOP) # LOE rbx r15 r12d r13d END(_ZGVdN8v_asinf_avx2) .section .rodata, "a" .align 32 #ifdef __svml_sasin_data_internal_typedef typedef unsigned int VUINT32; typedef struct { __declspec(align(32)) VUINT32 AbsMask[8][1]; __declspec(align(32)) VUINT32 OneHalf[8][1]; __declspec(align(32)) VUINT32 SmallNorm[8][1]; __declspec(align(32)) VUINT32 One[8][1]; __declspec(align(32)) VUINT32 Two[8][1]; __declspec(align(32)) VUINT32 sqrt_coeff[2][8][1]; __declspec(align(32)) VUINT32 poly_coeff[5][8][1]; __declspec(align(32)) VUINT32 Pi2H[8][1]; } __svml_sasin_data_internal; #endif __svml_sasin_data_internal: /*== AbsMask ==*/ .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /*== OneHalf ==*/ .align 32 .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /*== SmallNorm ==*/ .align 32 .long 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000, 0x2f800000 /*== One ==*/ .align 32 .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 /*== Two ==*/ .align 32 .long 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000, 0x40000000 /*== sqrt_coeff[2] ==*/ .align 32 .long 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004, 0xbdC00004 /* sqrt_coeff2 */ .long 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001, 0x3e800001 /* sqrt_coeff1 */ /*== poly_coeff[5] ==*/ .align 32 .long 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07, 0x3d2EDC07 /* poly_coeff5 */ .long 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B, 0x3CC32A6B /* poly_coeff4 */ .long 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4, 0x3d3A9AB4 /* poly_coeff3 */ .long 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12, 0x3d997C12 /* poly_coeff2 */ .long 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF, 0x3e2AAAFF /* poly_coeff1 */ /*== Pi2H ==*/ .align 32 .long 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB, 0x3fc90FDB .align 32 .type __svml_sasin_data_internal,@object .size __svml_sasin_data_internal,.-__svml_sasin_data_internal