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author | Sunil K Pandey <skpgkp2@gmail.com> | 2021-12-29 09:48:17 -0800 |
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committer | Sunil K Pandey <skpgkp2@gmail.com> | 2021-12-29 11:38:39 -0800 |
commit | 0625489ccc430ccbc5e6e70b4402d7e7d2d3ed17 (patch) | |
tree | 95e5dc4a10517ff5f1925d1e707b39dc34e1b7f9 /sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S | |
parent | 6dea4dd3dae3eb488361c081365a0518f327dacf (diff) | |
download | glibc-0625489ccc430ccbc5e6e70b4402d7e7d2d3ed17.tar.gz glibc-0625489ccc430ccbc5e6e70b4402d7e7d2d3ed17.tar.xz glibc-0625489ccc430ccbc5e6e70b4402d7e7d2d3ed17.zip |
x86-64: Add vector acosh/acoshf implementation to libmvec
Implement vectorized acosh/acoshf containing SSE, AVX, AVX2 and AVX512 versions for libmvec as per vector ABI. It also contains accuracy and ABI tests for vector acosh/acoshf with regenerated ulps. Reviewed-by: H.J. Lu <hjl.tools@gmail.com>
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S')
-rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S | 370 |
1 files changed, 370 insertions, 0 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S new file mode 100644 index 0000000000..1d847fcd40 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_acoshf8_core_avx2.S @@ -0,0 +1,370 @@ +/* Function acoshf 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: + * + * Compute acosh(x) as log(x + sqrt(x*x - 1)) + * + * Special cases: + * + * acosh(NaN) = quiet NaN, and raise invalid exception + * acosh(-INF) = NaN + * acosh(+INF) = +INF + * acosh(x) = NaN if x < 1 + * acosh(1) = +0 + * + */ + +/* Offsets for data table __svml_sacosh_data_internal + */ +#define sOne 0 +#define sPoly 32 +#define iBrkValue 288 +#define iOffExpoMask 320 +#define sBigThreshold 352 +#define sC2 384 +#define sC3 416 +#define sHalf 448 +#define sLargestFinite 480 +#define sThirtyOne 512 +#define sTopMask8 544 +#define XScale 576 +#define sLn2 608 + +#include <sysdep.h> + + .text + .section .text.avx2,"ax",@progbits +ENTRY(_ZGVdN8v_acoshf_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 + +/* Load constants, always including One = 1 */ + vmovups sOne+__svml_sacosh_data_internal(%rip), %ymm2 + +/* Finally, express Y + W = U * V accurately where Y has <= 8 bits */ + vmovups sTopMask8+__svml_sacosh_data_internal(%rip), %ymm9 + +/* + * Now 1 / (1 + d) + * = 1 / (1 + (sqrt(1 - e) - 1)) + * = 1 / sqrt(1 - e) + * = 1 + 1/2 * e + 3/8 * e^2 + 5/16 * e^3 + 35/128 * e^4 + ... + * So compute the first three nonconstant terms of that, so that + * we have a relative correction (1 + Corr) to apply to S etc. + * C1 = 1/2 + * C2 = 3/8 + * C3 = 5/16 + */ + vmovups sC3+__svml_sacosh_data_internal(%rip), %ymm14 + vmovaps %ymm0, %ymm3 + vmovaps %ymm2, %ymm7 + vfmsub231ps %ymm3, %ymm3, %ymm7 + +/* + * Check that 1 < X < +inf; otherwise go to the callout function. + * We need the callout for X = 1 to avoid division by zero below. + * This test ensures that callout handles NaN and either infinity. + */ + vcmpnle_uqps sLargestFinite+__svml_sacosh_data_internal(%rip), %ymm3, %ymm4 + vcmpngt_uqps %ymm2, %ymm3, %ymm5 + +/* + * The following computation can go wrong for very large X, e.g. + * the X^2 - 1 = U * V can overflow. But for large X we have + * acosh(X) / log(2 X) - 1 =~= 1/(4 * X^2), so for X >= 2^30 + * we can just later stick X back into the log and tweak up the exponent. + * Actually we scale X by 2^-30 and tweak the exponent up by 31, + * to stay in the safe range for the later log computation. + * Compute a flag now telling us when to do this. + */ + vcmplt_oqps sBigThreshold+__svml_sacosh_data_internal(%rip), %ymm3, %ymm1 + vandps %ymm9, %ymm7, %ymm10 + +/* + * Compute R = 1/sqrt(Y + W) * (1 + d) + * Force R to <= 8 significant bits. + * This means that R * Y and R^2 * Y are exactly representable. + */ + vrsqrtps %ymm10, %ymm8 + vsubps %ymm10, %ymm7, %ymm11 + vandps %ymm9, %ymm8, %ymm12 + +/* + * Compute S = (Y/sqrt(Y + W)) * (1 + d) + * and T = (W/sqrt(Y + W)) * (1 + d) + * so that S + T = sqrt(Y + W) * (1 + d) + * S is exact, and the rounding error in T is OK. + */ + vmulps %ymm12, %ymm10, %ymm15 + vmulps %ymm11, %ymm12, %ymm0 + +/* Now multiplex to the case X = 2^-30 * input, Xl = 0 in the "big" case. */ + vmulps XScale+__svml_sacosh_data_internal(%rip), %ymm3, %ymm11 + +/* + * Compute e = -(2 * d + d^2) + * The first FMR is exact, and the rounding error in the other is acceptable + * since d and e are ~ 2^-8 + */ + vmovaps %ymm2, %ymm13 + vfnmadd231ps %ymm15, %ymm12, %ymm13 + vfnmadd231ps %ymm0, %ymm12, %ymm13 + vfmadd213ps sC2+__svml_sacosh_data_internal(%rip), %ymm13, %ymm14 + vfmadd213ps sHalf+__svml_sacosh_data_internal(%rip), %ymm13, %ymm14 + vmulps %ymm14, %ymm13, %ymm7 + vorps %ymm5, %ymm4, %ymm6 + +/* + * For low-accuracy versions, the computation can be done + * just as U + ((S + T) + (S + T) * Corr) + */ + vaddps %ymm0, %ymm15, %ymm5 + +/* sU is needed later on */ + vsubps %ymm2, %ymm3, %ymm4 + vfmadd213ps %ymm5, %ymm7, %ymm5 + vmovmskps %ymm6, %edx + vaddps %ymm5, %ymm4, %ymm6 + +/* + * Now resume the main code. + * reduction: compute r,n + */ + vmovups iBrkValue+__svml_sacosh_data_internal(%rip), %ymm4 + +/* + * Now we feed into the log1p code, using H in place of _VARG1 and + * also adding L into Xl. + * compute 1+x as high, low parts + */ + vmaxps %ymm6, %ymm2, %ymm8 + vminps %ymm6, %ymm2, %ymm9 + vaddps %ymm9, %ymm8, %ymm12 + vblendvps %ymm1, %ymm12, %ymm11, %ymm14 + vsubps %ymm12, %ymm8, %ymm10 + vpsubd %ymm4, %ymm14, %ymm15 + vaddps %ymm10, %ymm9, %ymm13 + vpand iOffExpoMask+__svml_sacosh_data_internal(%rip), %ymm15, %ymm14 + vpsrad $23, %ymm15, %ymm15 + vpaddd %ymm4, %ymm14, %ymm8 + vpslld $23, %ymm15, %ymm5 + vmovups sPoly+224+__svml_sacosh_data_internal(%rip), %ymm4 + vcvtdq2ps %ymm15, %ymm0 + vpsubd %ymm5, %ymm2, %ymm7 + +/* polynomial evaluation */ + vsubps %ymm2, %ymm8, %ymm2 + +/* Add 31 to the exponent in the "large" case to get log(2 * input) */ + vaddps sThirtyOne+__svml_sacosh_data_internal(%rip), %ymm0, %ymm5 + vandps %ymm1, %ymm13, %ymm6 + vmulps %ymm7, %ymm6, %ymm9 + vblendvps %ymm1, %ymm0, %ymm5, %ymm0 + vaddps %ymm2, %ymm9, %ymm2 + vfmadd213ps sPoly+192+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+160+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+128+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+96+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+64+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+32+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vfmadd213ps sPoly+__svml_sacosh_data_internal(%rip), %ymm2, %ymm4 + vmulps %ymm4, %ymm2, %ymm6 + vfmadd213ps %ymm2, %ymm2, %ymm6 + +/* final reconstruction */ + vfmadd132ps sLn2+__svml_sacosh_data_internal(%rip), %ymm6, %ymm0 + testl %edx, %edx + +/* Go to special inputs processing branch */ + jne L(SPECIAL_VALUES_BRANCH) + # LOE rbx r12 r13 r14 r15 edx ymm0 ymm3 + +/* 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 %ymm3, 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 acoshf@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_acoshf_avx2) + + .section .rodata, "a" + .align 32 + +#ifdef __svml_sacosh_data_internal_typedef +typedef unsigned int VUINT32; +typedef struct { + __declspec(align(32)) VUINT32 sOne[8][1]; + __declspec(align(32)) VUINT32 sPoly[8][8][1]; + __declspec(align(32)) VUINT32 iBrkValue[8][1]; + __declspec(align(32)) VUINT32 iOffExpoMask[8][1]; + __declspec(align(32)) VUINT32 sBigThreshold[8][1]; + __declspec(align(32)) VUINT32 sC2[8][1]; + __declspec(align(32)) VUINT32 sC3[8][1]; + __declspec(align(32)) VUINT32 sHalf[8][1]; + __declspec(align(32)) VUINT32 sLargestFinite[8][1]; + __declspec(align(32)) VUINT32 sThirtyOne[8][1]; + __declspec(align(32)) VUINT32 sTopMask8[8][1]; + __declspec(align(32)) VUINT32 XScale[8][1]; + __declspec(align(32)) VUINT32 sLn2[8][1]; +} __svml_sacosh_data_internal; +#endif +__svml_sacosh_data_internal: + /*== sOne = SP 1.0 ==*/ + .long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000 + /*== sPoly[] = SP polynomial ==*/ + .align 32 + .long 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000, 0xbf000000 /* -5.0000000000000000000000000e-01 P0 */ + .long 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94, 0x3eaaaa94 /* 3.3333265781402587890625000e-01 P1 */ + .long 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e, 0xbe80058e /* -2.5004237890243530273437500e-01 P2 */ + .long 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190, 0x3e4ce190 /* 2.0007920265197753906250000e-01 P3 */ + .long 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37, 0xbe28ad37 /* -1.6472326219081878662109375e-01 P4 */ + .long 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12, 0x3e0fcb12 /* 1.4042308926582336425781250e-01 P5 */ + .long 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3, 0xbe1ad9e3 /* -1.5122179687023162841796875e-01 P6 */ + .long 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed, 0x3e0d84ed /* 1.3820238411426544189453125e-01 P7 */ + /*== iBrkValue = SP 2/3 ==*/ + .align 32 + .long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab + /*== iOffExpoMask = SP significand mask ==*/ + .align 32 + .long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff + /*== sBigThreshold ==*/ + .align 32 + .long 0x4E800000, 0x4E800000, 0x4E800000, 0x4E800000, 0x4E800000, 0x4E800000, 0x4E800000, 0x4E800000 + /*== sC2 ==*/ + .align 32 + .long 0x3EC00000, 0x3EC00000, 0x3EC00000, 0x3EC00000, 0x3EC00000, 0x3EC00000, 0x3EC00000, 0x3EC00000 + /*== sC3 ==*/ + .align 32 + .long 0x3EA00000, 0x3EA00000, 0x3EA00000, 0x3EA00000, 0x3EA00000, 0x3EA00000, 0x3EA00000, 0x3EA00000 + /*== sHalf ==*/ + .align 32 + .long 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000, 0x3F000000 + /*== sLargestFinite ==*/ + .align 32 + .long 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF + /*== sThirtyOne ==*/ + .align 32 + .long 0x41F80000, 0x41F80000, 0x41F80000, 0x41F80000, 0x41F80000, 0x41F80000, 0x41F80000, 0x41F80000 + /*== sTopMask8 ==*/ + .align 32 + .long 0xFFFF0000, 0xFFFF0000, 0xFFFF0000, 0xFFFF0000, 0xFFFF0000, 0xFFFF0000, 0xFFFF0000, 0xFFFF0000 + /*== XScale ==*/ + .align 32 + .long 0x30800000, 0x30800000, 0x30800000, 0x30800000, 0x30800000, 0x30800000, 0x30800000, 0x30800000 + /*== sLn2 = SP ln(2) ==*/ + .align 32 + .long 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218, 0x3f317218 + .align 32 + .type __svml_sacosh_data_internal,@object + .size __svml_sacosh_data_internal,.-__svml_sacosh_data_internal |