diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S | 362 |
1 files changed, 362 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S new file mode 100644 index 0000000000..2e6e5eb71c --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_atan2f8_core_avx2.S @@ -0,0 +1,362 @@ +/* Function atan2f 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: + * For 0.0 <= x <= 7.0/16.0: atan(x) = atan(0.0) + atan(s), where s=(x-0.0)/(1.0+0.0*x) + * For 7.0/16.0 <= x <= 11.0/16.0: atan(x) = atan(0.5) + atan(s), where s=(x-0.5)/(1.0+0.5*x) + * For 11.0/16.0 <= x <= 19.0/16.0: atan(x) = atan(1.0) + atan(s), where s=(x-1.0)/(1.0+1.0*x) + * For 19.0/16.0 <= x <= 39.0/16.0: atan(x) = atan(1.5) + atan(s), where s=(x-1.5)/(1.0+1.5*x) + * For 39.0/16.0 <= x <= inf : atan(x) = atan(inf) + atan(s), where s=-1.0/x + * Where atan(s) ~= s+s^3*Poly11(s^2) on interval |s|<7.0/0.16. + * + * + */ + +/* Offsets for data table __svml_satan2_data_internal + */ +#define sZERO 0 +#define sSIGN_MASK 32 +#define sABS_MASK 64 +#define sPIO2 96 +#define sPI 128 +#define sPC8 160 +#define sPC7 192 +#define sPC6 224 +#define sPC5 256 +#define sPC4 288 +#define sPC3 320 +#define sPC2 352 +#define sPC1 384 +#define sPC0 416 +#define iCHK_WORK_SUB 448 +#define iCHK_WORK_CMP 480 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8vv_atan2f_avx2) + pushq %rbp + cfi_def_cfa_offset(16) + movq %rsp, %rbp + cfi_def_cfa(6, 16) + cfi_offset(6, -16) + andq $-32, %rsp + subq $128, %rsp + xorl %edx, %edx + +/* + * #define NO_VECTOR_ZERO_ATAN2_ARGS + * Declarations + * Variables + * Constants + * The end of declarations + * Implementation + * Arguments signs + */ + vmovups sABS_MASK+__svml_satan2_data_internal(%rip), %ymm2 + +/* Testing on working interval. */ + vmovups iCHK_WORK_SUB+__svml_satan2_data_internal(%rip), %ymm15 + vmovups iCHK_WORK_CMP+__svml_satan2_data_internal(%rip), %ymm9 + +/* if x<0, sPI = Pi, else sPI =0 */ + vmovups __svml_satan2_data_internal(%rip), %ymm5 + vmovaps %ymm1, %ymm7 + vandps %ymm2, %ymm7, %ymm13 + vandps %ymm2, %ymm0, %ymm12 + vcmplt_oqps %ymm13, %ymm12, %ymm4 + vcmple_oqps %ymm5, %ymm7, %ymm6 + vpsubd %ymm15, %ymm13, %ymm10 + vpsubd %ymm15, %ymm12, %ymm8 + +/* + * 1) If y<x then a= y, b=x, PIO2=0 + * 2) If y>x then a=-x, b=y, PIO2=Pi/2 + */ + vorps sSIGN_MASK+__svml_satan2_data_internal(%rip), %ymm13, %ymm3 + vblendvps %ymm4, %ymm12, %ymm3, %ymm14 + vblendvps %ymm4, %ymm13, %ymm12, %ymm3 + +/* Division a/b. */ + vdivps %ymm3, %ymm14, %ymm11 + vpcmpgtd %ymm9, %ymm10, %ymm14 + vpcmpeqd %ymm9, %ymm10, %ymm15 + vpor %ymm15, %ymm14, %ymm10 + vmovups sPC7+__svml_satan2_data_internal(%rip), %ymm15 + vpcmpgtd %ymm9, %ymm8, %ymm14 + vpcmpeqd %ymm9, %ymm8, %ymm8 + vpor %ymm8, %ymm14, %ymm9 + vmovups sPC8+__svml_satan2_data_internal(%rip), %ymm14 + vpor %ymm9, %ymm10, %ymm10 + +/* Polynomial. */ + vmulps %ymm11, %ymm11, %ymm9 + vmulps %ymm9, %ymm9, %ymm8 + vfmadd213ps sPC6+__svml_satan2_data_internal(%rip), %ymm8, %ymm14 + vfmadd213ps sPC5+__svml_satan2_data_internal(%rip), %ymm8, %ymm15 + vfmadd213ps sPC4+__svml_satan2_data_internal(%rip), %ymm8, %ymm14 + vfmadd213ps sPC3+__svml_satan2_data_internal(%rip), %ymm8, %ymm15 + vfmadd213ps sPC2+__svml_satan2_data_internal(%rip), %ymm8, %ymm14 + vfmadd213ps sPC1+__svml_satan2_data_internal(%rip), %ymm8, %ymm15 + vfmadd213ps sPC0+__svml_satan2_data_internal(%rip), %ymm8, %ymm14 + vfmadd213ps %ymm14, %ymm9, %ymm15 + vandnps sPIO2+__svml_satan2_data_internal(%rip), %ymm4, %ymm4 + +/* Reconstruction. */ + vfmadd213ps %ymm4, %ymm11, %ymm15 + vxorps %ymm13, %ymm7, %ymm1 + vandps sPI+__svml_satan2_data_internal(%rip), %ymm6, %ymm6 + vorps %ymm1, %ymm15, %ymm11 + vaddps %ymm11, %ymm6, %ymm8 + vmovmskps %ymm10, %eax + vxorps %ymm12, %ymm0, %ymm2 + vorps %ymm2, %ymm8, %ymm9 + +/* Special branch for fast (vector) processing of zero arguments */ + testl %eax, %eax + +/* Go to auxilary branch */ + jne L(AUX_BRANCH) + # LOE rbx r12 r13 r14 r15 edx ymm0 ymm1 ymm2 ymm3 ymm4 ymm5 ymm6 ymm7 ymm9 ymm10 ymm12 ymm13 + +/* Return from auxilary branch + * for out of main path inputs + */ + +L(AUX_BRANCH_RETURN): +/* + * Special branch for fast (vector) processing of zero arguments + * The end of implementation + */ + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx ymm0 ymm7 ymm9 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + vmovaps %ymm9, %ymm0 + 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 %ymm0, 32(%rsp) + vmovups %ymm7, 64(%rsp) + vmovups %ymm9, 96(%rsp) + # LOE rbx r12 r13 r14 r15 edx ymm9 + + 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: -112; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 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 96(%rsp), %ymm9 + +/* 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: -112; DW_OP_plus) */ + .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 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: -120; DW_OP_plus) */ + .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 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: -128; DW_OP_plus) */ + .cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22 + # LOE rbx r12 r13 r14 r15 ymm9 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movss 32(%rsp,%r14,4), %xmm0 + movss 64(%rsp,%r14,4), %xmm1 + call atan2f@PLT + # LOE rbx r14 r15 r12d r13d xmm0 + + movss %xmm0, 96(%rsp,%r14,4) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + cfi_restore(12) + cfi_restore(13) + cfi_restore(14) + # LOE rbx r15 r12d r13d + +/* Auxilary branch + * for out of main path inputs + */ + +L(AUX_BRANCH): +/* Check if at least on of Y or Y is zero: iAXAYZERO */ + vpcmpeqd %ymm5, %ymm13, %ymm13 + vpcmpeqd %ymm5, %ymm12, %ymm12 + +/* Check if both X & Y are not NaNs: iXYnotNAN */ + vcmpordps %ymm7, %ymm7, %ymm11 + vcmpordps %ymm0, %ymm0, %ymm14 + +/* + * Path for zero arguments (at least one of both) + * Check if both args are zeros (den. is zero) + */ + vcmpeqps %ymm5, %ymm3, %ymm3 + vpor %ymm12, %ymm13, %ymm15 + +/* Set sPIO2 to zero if den. is zero */ + vblendvps %ymm3, %ymm5, %ymm4, %ymm4 + vandps %ymm14, %ymm11, %ymm8 + +/* Check if at least on of Y or Y is zero and not NaN: iAXAYZEROnotNAN */ + vpand %ymm8, %ymm15, %ymm8 + +/* Res = sign(Y)*(X<0)?(PIO2+PI):PIO2 */ + vpcmpgtd %ymm7, %ymm5, %ymm5 + vorps %ymm1, %ymm4, %ymm1 + vandps %ymm6, %ymm5, %ymm6 + vaddps %ymm6, %ymm1, %ymm1 + +/* Exclude from previous callout mask zero (and not NaN) arguments */ + vpandn %ymm10, %ymm8, %ymm10 + vorps %ymm2, %ymm1, %ymm2 + +/* Go to callout */ + vmovmskps %ymm10, %edx + +/* Merge results from main and spec path */ + vblendvps %ymm8, %ymm2, %ymm9, %ymm9 + +/* Return to main vector processing path */ + jmp L(AUX_BRANCH_RETURN) + # LOE rbx r12 r13 r14 r15 edx ymm0 ymm7 ymm9 +END(_ZGVdN8vv_atan2f_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_satan2_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(32)) VUINT32 sZERO[8][1]; + __declspec(align(32)) VUINT32 sSIGN_MASK[8][1]; + __declspec(align(32)) VUINT32 sABS_MASK[8][1]; + __declspec(align(32)) VUINT32 sPIO2[8][1]; + __declspec(align(32)) VUINT32 sPI[8][1]; + __declspec(align(32)) VUINT32 sPC8[8][1]; + __declspec(align(32)) VUINT32 sPC7[8][1]; + __declspec(align(32)) VUINT32 sPC6[8][1]; + __declspec(align(32)) VUINT32 sPC5[8][1]; + __declspec(align(32)) VUINT32 sPC4[8][1]; + __declspec(align(32)) VUINT32 sPC3[8][1]; + __declspec(align(32)) VUINT32 sPC2[8][1]; + __declspec(align(32)) VUINT32 sPC1[8][1]; + __declspec(align(32)) VUINT32 sPC0[8][1]; + __declspec(align(32)) VUINT32 iCHK_WORK_SUB[8][1]; + __declspec(align(32)) VUINT32 iCHK_WORK_CMP[8][1]; +} __svml_satan2_data_internal; +#endif +__svml_satan2_data_internal: + .long 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 // sZERO + .align 32 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 // sSIGN_MASK + .align 32 + .long 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF // sABS_MASK + .align 32 + .long 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB, 0x3FC90FDB // sPIO2 + .align 32 + .long 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB, 0x40490FDB // sPI + .align 32 + .long 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0, 0x3B322CC0 // sA08 + .align 32 + .long 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631, 0xBC7F2631 // sA07 + .align 32 + .long 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384, 0x3D2BC384 // sA06 + .align 32 + .long 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629, 0xBD987629 // sA05 + .align 32 + .long 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474, 0x3DD96474 // sA04 + .align 32 + .long 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8, 0xBE1161F8 // sA03 + .align 32 + .long 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F, 0x3E4CB79F // sA02 + .align 32 + .long 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49, 0xBEAAAA49 // sA01 + .align 32 + .long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000 // sA00 + .align 32 + .long 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000, 0x81000000 //iCHK_WORK_SUB + .align 32 + .long 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000, 0xFC000000 //iCHK_WORK_CMP + .align 32 + .type __svml_satan2_data_internal,@object + .size __svml_satan2_data_internal,.-__svml_satan2_data_internal |