diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_d_asin2_core_sse4.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_d_asin2_core_sse4.S | 288 |
1 files changed, 288 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_asin2_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_asin2_core_sse4.S new file mode 100644 index 0000000000..a6f7a41623 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_d_asin2_core_sse4.S @@ -0,0 +1,288 @@ +/* Function asin vectorized with SSE4. + 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_dasin_data_internal + */ +#define AbsMask 0 +#define OneHalf 16 +#define SmallNorm 32 +#define One 48 +#define Two 64 +#define sqrt_coeff 80 +#define poly_coeff 144 +#define Pi2H 336 + +#include <sysdep.h> + + .text + .section .text.sse4,"ax",@progbits +ENTRY(_ZGVbN2v_asin_sse4) + subq $72, %rsp + cfi_def_cfa_offset(80) + movaps %xmm0, %xmm5 + movups __svml_dasin_data_internal(%rip), %xmm3 + movups OneHalf+__svml_dasin_data_internal(%rip), %xmm8 + +/* x = |arg| */ + movaps %xmm3, %xmm4 + andps %xmm5, %xmm4 + +/* Y = 0.5 - 0.5*x */ + movaps %xmm8, %xmm6 + mulpd %xmm4, %xmm6 + movaps %xmm8, %xmm14 + +/* x^2 */ + movaps %xmm4, %xmm2 + subpd %xmm6, %xmm14 + mulpd %xmm4, %xmm2 + +/* S ~ -2*sqrt(Y) */ + cvtpd2ps %xmm14, %xmm9 + minpd %xmm14, %xmm2 + movlhps %xmm9, %xmm9 + movaps %xmm14, %xmm15 + rsqrtps %xmm9, %xmm10 + cmpltpd SmallNorm+__svml_dasin_data_internal(%rip), %xmm15 + addpd %xmm14, %xmm14 + cvtps2pd %xmm10, %xmm11 + andnps %xmm11, %xmm15 + movaps %xmm4, %xmm1 + movaps %xmm15, %xmm12 + andnps %xmm5, %xmm3 + mulpd %xmm15, %xmm12 + mulpd %xmm14, %xmm15 + mulpd %xmm12, %xmm14 + cmpnltpd %xmm8, %xmm1 + subpd Two+__svml_dasin_data_internal(%rip), %xmm14 + +/* polynomial */ + movups poly_coeff+__svml_dasin_data_internal(%rip), %xmm6 + movaps %xmm2, %xmm12 + mulpd %xmm2, %xmm6 + mulpd %xmm2, %xmm12 + addpd poly_coeff+16+__svml_dasin_data_internal(%rip), %xmm6 + movups One+__svml_dasin_data_internal(%rip), %xmm7 + movaps %xmm12, %xmm8 + cmpltpd %xmm4, %xmm7 + mulpd %xmm12, %xmm6 + movmskpd %xmm7, %edx + movups poly_coeff+32+__svml_dasin_data_internal(%rip), %xmm9 + movaps %xmm14, %xmm0 + movups poly_coeff+64+__svml_dasin_data_internal(%rip), %xmm7 + mulpd %xmm2, %xmm9 + mulpd %xmm2, %xmm7 + addpd poly_coeff+48+__svml_dasin_data_internal(%rip), %xmm9 + addpd poly_coeff+80+__svml_dasin_data_internal(%rip), %xmm7 + mulpd %xmm12, %xmm8 + mulpd %xmm12, %xmm7 + addpd %xmm6, %xmm9 + mulpd %xmm15, %xmm0 + mulpd %xmm8, %xmm9 + movups poly_coeff+96+__svml_dasin_data_internal(%rip), %xmm10 + mulpd %xmm2, %xmm10 + movups sqrt_coeff+__svml_dasin_data_internal(%rip), %xmm13 + mulpd %xmm14, %xmm13 + addpd poly_coeff+112+__svml_dasin_data_internal(%rip), %xmm10 + addpd sqrt_coeff+16+__svml_dasin_data_internal(%rip), %xmm13 + addpd %xmm7, %xmm10 + mulpd %xmm14, %xmm13 + addpd %xmm9, %xmm10 + addpd sqrt_coeff+32+__svml_dasin_data_internal(%rip), %xmm13 + mulpd %xmm12, %xmm10 + mulpd %xmm13, %xmm14 + movups poly_coeff+128+__svml_dasin_data_internal(%rip), %xmm11 + mulpd %xmm2, %xmm11 + addpd sqrt_coeff+48+__svml_dasin_data_internal(%rip), %xmm14 + addpd poly_coeff+144+__svml_dasin_data_internal(%rip), %xmm11 + mulpd %xmm14, %xmm0 + addpd %xmm10, %xmm11 + subpd %xmm15, %xmm0 + mulpd %xmm11, %xmm12 + movups poly_coeff+160+__svml_dasin_data_internal(%rip), %xmm13 + movaps %xmm1, %xmm14 + mulpd %xmm2, %xmm13 + addpd poly_coeff+176+__svml_dasin_data_internal(%rip), %xmm13 + addpd %xmm12, %xmm13 + mulpd %xmm13, %xmm2 + andnps %xmm4, %xmm14 + andps %xmm1, %xmm0 + orps %xmm0, %xmm14 + mulpd %xmm14, %xmm2 + addpd %xmm2, %xmm14 + movups Pi2H+__svml_dasin_data_internal(%rip), %xmm0 + andps %xmm1, %xmm0 + addpd %xmm14, %xmm0 + pxor %xmm3, %xmm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm5 + +/* Restore registers + * and exit the function + */ + +L(EXIT): + addq $72, %rsp + cfi_def_cfa_offset(8) + ret + cfi_def_cfa_offset(80) + +/* Branch to process + * special inputs + */ + +L(SPECIAL_VALUES_BRANCH): + movups %xmm5, 32(%rsp) + movups %xmm0, 48(%rsp) + # LOE rbx rbp r12 r13 r14 r15 edx + + xorl %eax, %eax + movq %r12, 16(%rsp) + cfi_offset(12, -64) + movl %eax, %r12d + movq %r13, 8(%rsp) + cfi_offset(13, -72) + movl %edx, %r13d + movq %r14, (%rsp) + cfi_offset(14, -80) + # LOE rbx rbp r15 r12d r13d + +/* Range mask + * bits check + */ + +L(RANGEMASK_CHECK): + btl %r12d, %r13d + +/* Call scalar math function */ + jc L(SCALAR_MATH_CALL) + # LOE rbx rbp r15 r12d r13d + +/* Special inputs + * processing loop + */ + +L(SPECIAL_VALUES_LOOP): + incl %r12d + cmpl $2, %r12d + +/* Check bits in range mask */ + jl L(RANGEMASK_CHECK) + # LOE rbx rbp r15 r12d r13d + + movq 16(%rsp), %r12 + cfi_restore(12) + movq 8(%rsp), %r13 + cfi_restore(13) + movq (%rsp), %r14 + cfi_restore(14) + movups 48(%rsp), %xmm0 + +/* Go to exit */ + jmp L(EXIT) + cfi_offset(12, -64) + cfi_offset(13, -72) + cfi_offset(14, -80) + # LOE rbx rbp r12 r13 r14 r15 xmm0 + +/* Scalar math fucntion call + * to process special input + */ + +L(SCALAR_MATH_CALL): + movl %r12d, %r14d + movsd 32(%rsp,%r14,8), %xmm0 + call asin@PLT + # LOE rbx rbp r14 r15 r12d r13d xmm0 + + movsd %xmm0, 48(%rsp,%r14,8) + +/* Process special inputs in loop */ + jmp L(SPECIAL_VALUES_LOOP) + # LOE rbx rbp r15 r12d r13d +END(_ZGVbN2v_asin_sse4) + + .section .rodata, "a" + .align 16 + +#ifdef __svml_dasin_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(16)) VUINT32 AbsMask[2][2]; + __declspec(align(16)) VUINT32 OneHalf[2][2]; + __declspec(align(16)) VUINT32 SmallNorm[2][2]; + __declspec(align(16)) VUINT32 One[2][2]; + __declspec(align(16)) VUINT32 Two[2][2]; + __declspec(align(16)) VUINT32 sqrt_coeff[4][2][2]; + __declspec(align(16)) VUINT32 poly_coeff[12][2][2]; + __declspec(align(16)) VUINT32 Pi2H[2][2]; +} __svml_dasin_data_internal; +#endif +__svml_dasin_data_internal: + /*== AbsMask ==*/ + .quad 0x7fffffffffffffff, 0x7fffffffffffffff + /*== OneHalf ==*/ + .align 16 + .quad 0x3fe0000000000000, 0x3fe0000000000000 + /*== SmallNorm ==*/ + .align 16 + .quad 0x3000000000000000, 0x3000000000000000 + /*== One ==*/ + .align 16 + .quad 0x3ff0000000000000, 0x3ff0000000000000 + /*== Two ==*/ + .align 16 + .quad 0x4000000000000000, 0x4000000000000000 + /*== sqrt_coeff[4] ==*/ + .align 16 + .quad 0xbf918000993B24C3, 0xbf918000993B24C3 /* sqrt_coeff4 */ + .quad 0x3fa400006F70D42D, 0x3fa400006F70D42D /* sqrt_coeff3 */ + .quad 0xbfb7FFFFFFFFFE97, 0xbfb7FFFFFFFFFE97 /* sqrt_coeff2 */ + .quad 0x3fcFFFFFFFFFFF9D, 0x3fcFFFFFFFFFFF9D /* sqrt_coeff1 */ + /*== poly_coeff[12] ==*/ + .align 16 + .quad 0x3fa07520C70EB909, 0x3fa07520C70EB909 /* poly_coeff12 */ + .quad 0xbf90FB17F7DBB0ED, 0xbf90FB17F7DBB0ED /* poly_coeff11 */ + .quad 0x3f943F44BFBC3BAE, 0x3f943F44BFBC3BAE /* poly_coeff10 */ + .quad 0x3f7A583395D45ED5, 0x3f7A583395D45ED5 /* poly_coeff9 */ + .quad 0x3f88F8DC2AFCCAD6, 0x3f88F8DC2AFCCAD6 /* poly_coeff8 */ + .quad 0x3f8C6DBBCB88BD57, 0x3f8C6DBBCB88BD57 /* poly_coeff7 */ + .quad 0x3f91C6DCF538AD2E, 0x3f91C6DCF538AD2E /* poly_coeff6 */ + .quad 0x3f96E89CEBDEFadd, 0x3f96E89CEBDEFadd /* poly_coeff5 */ + .quad 0x3f9F1C72E13AD8BE, 0x3f9F1C72E13AD8BE /* poly_coeff4 */ + .quad 0x3fa6DB6DB3B445F8, 0x3fa6DB6DB3B445F8 /* poly_coeff3 */ + .quad 0x3fb333333337E0DE, 0x3fb333333337E0DE /* poly_coeff2 */ + .quad 0x3fc555555555529C, 0x3fc555555555529C /* poly_coeff1 */ + /*== Pi2H ==*/ + .align 16 + .quad 0x3ff921fb54442d18, 0x3ff921fb54442d18 + .align 16 + .type __svml_dasin_data_internal,@object + .size __svml_dasin_data_internal,.-__svml_dasin_data_internal |