From patchwork Sun Jan 30 04:36:35 2022 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Noah Goldstein X-Patchwork-Id: 50576 Return-Path: X-Original-To: patchwork@sourceware.org Delivered-To: patchwork@sourceware.org Received: from server2.sourceware.org (localhost [IPv6:::1]) by sourceware.org (Postfix) with ESMTP id C60633858415 for ; Sun, 30 Jan 2022 04:37:12 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org C60633858415 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1643517432; bh=ujX+R/FOSFAzAoxXjsYgJPQ7J3qDwgCh6XPz8uXbXe8=; h=To:Subject:Date:List-Id:List-Unsubscribe:List-Archive:List-Post: List-Help:List-Subscribe:From:Reply-To:From; b=ajLWmk7qK3i+6safCL5bLsvx7T38M6F/uwSE46aooB6oHuYMmWCMrITMj8v6a9dEW DYuMqJD/AHMYXuanGjNGhmlHaAqfZdrEH+mAiW516K1d96qcFUUmsaAcsNX3Xf+z6Z DCjqKWSQjljVAJHpYJNE9Wwfr0KWobXNtKvlMIlc= X-Original-To: libc-alpha@sourceware.org Delivered-To: libc-alpha@sourceware.org Received: from mail-io1-xd33.google.com (mail-io1-xd33.google.com [IPv6:2607:f8b0:4864:20::d33]) by sourceware.org (Postfix) with ESMTPS id 751983858D28 for ; Sun, 30 Jan 2022 04:36:47 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org 751983858D28 Received: by mail-io1-xd33.google.com with SMTP id q204so12702416iod.8 for ; Sat, 29 Jan 2022 20:36:47 -0800 (PST) X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20210112; h=x-gm-message-state:from:to:cc:subject:date:message-id:mime-version :content-transfer-encoding; bh=ujX+R/FOSFAzAoxXjsYgJPQ7J3qDwgCh6XPz8uXbXe8=; b=Gpnznb4tk/QaJ20UdqC4NBLUp+mI6d1Rs2x0ccvcwzfH74KzW4KhpmgaBl093cnaFQ fJjkWol0N7v01VLZ0CGeeFCfilhHIzUsb4m3kHSN1RkW8Hu+cq81uEjRX1CHWR8fvj40 zJl/kDV55NaQM7Y2UpguCqWLmxdcK90qv+1cJ/gICLewMDiuLCo4wpEGUm5q0FRrQjPa yDSf6PwK0OsG5u0eIS5gBXfQnZJmR2pQ/zNUyDsoPLXKAecQqtDdwd6XFDaf5y4syWtZ WRIaCVuVSy4Z5vcISmsbPtP1Yz9viNz+8IqVVp1Z6FteSrP0JoNOzuP//eAQKYD89PUP OXIA== X-Gm-Message-State: AOAM533K8nz/yfJkJPnbr8FXwy2dgsvjndS2Pr9PQMnwRe4bdqAGKjEY 6kuRjBkFRz4SABBkwOQpcvh/4f8g384= X-Google-Smtp-Source: ABdhPJznD9bcQnLd9Ou8NR7cO02sFM3j/7LVNzbgNxXp+mlCceaAYGg/brPwuvf0SkZrUOWo6FFa8Q== X-Received: by 2002:a6b:e20a:: with SMTP id z10mr8838689ioc.49.1643517405258; Sat, 29 Jan 2022 20:36:45 -0800 (PST) Received: from localhost.localdomain (node-17-161.flex.volo.net. [76.191.17.161]) by smtp.googlemail.com with ESMTPSA id e9sm4425927ilu.43.2022.01.29.20.36.43 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Sat, 29 Jan 2022 20:36:44 -0800 (PST) To: libc-alpha@sourceware.org Subject: [PATCH v1] x86: Optimize svml_s_tanhf_core_{sse4|avx2|avx512}.S Date: Sat, 29 Jan 2022 22:36:35 -0600 Message-Id: <20220130043635.2494108-1-goldstein.w.n@gmail.com> X-Mailer: git-send-email 2.25.1 MIME-Version: 1.0 X-Spam-Status: No, score=-2.6 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, FREEMAIL_FROM, GIT_PATCH_0, KAM_LOTSOFHASH, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP, T_SCC_BODY_TEXT_LINE, UNWANTED_LANGUAGE_BODY autolearn=ham autolearn_force=no version=3.4.4 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on server2.sourceware.org X-BeenThere: libc-alpha@sourceware.org X-Mailman-Version: 2.1.29 Precedence: list List-Id: Libc-alpha mailing list List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-Patchwork-Original-From: Noah Goldstein via Libc-alpha From: Noah Goldstein Reply-To: Noah Goldstein Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" No bug. Optimizations are: 1. Reduce code size avx512: -56 bytes avx2: -70 bytes sse4: -106 bytes 2. Reduce rodata size avx512: -448 bytes avx2: -32 bytes sse4: -4k+ (shares rodata with avx2) 3. Remove register save/restores and stack adjustment from the fast path. 4. Slightly better instruction selection where possible. This results in roughly a 15% performance improvement for all functions. Results from geomean of 40 benchtest runs: Function, New Time, Old Time, New / Old _ZGVbN4v_tanhf, 3.28, 3.852, 0.852 _ZGVcN8v_tanhf, 3.556, 4.192, 0.848 _ZGVdN8v_tanhf, 2.13, 2.486, 0.857 _ZGVeN16v_tanhf, 0.658, 0.762, 0.864 --- .../multiarch/svml_s_tanhf16_core_avx512.S | 585 +++++------ .../fpu/multiarch/svml_s_tanhf4_core_sse4.S | 871 +++-------------- .../fpu/multiarch/svml_s_tanhf8_core_avx2.S | 908 +++--------------- 3 files changed, 581 insertions(+), 1783 deletions(-) diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S index 8954a5f658..6a2f0c1392 100644 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf16_core_avx512.S @@ -70,312 +70,323 @@ * */ -/* Offsets for data table __svml_stanh_data_internal - */ -#define _sC 0 -#define _sP0 128 -#define _sP2 256 -#define _sP3 384 -#define _sP4 512 -#define _sP5 640 -#define _sP6 768 -#define _sP7 896 -#define _iExpMantMask_UISA 1024 -#define _iMinIdxOfsMask_UISA 1088 -#define _iMaxIdxMask_UISA 1152 -#define _sSignMask 1216 -#define _sAbsMask 1280 -#define _iExpMantMask 1344 -#define _iExpMask 1408 -#define _iMinIdxOfsMask 1472 -#define _iMaxIdxMask 1536 - #include +#define TANHF_DATA(offset) ((offset) + __svml_stanh_data_internal) + +/* Offsets for data table __svml_stanh_data_internal. */ +#define _iExpMantMask_UISA 0 +#define _iMinIdxOfsMask_UISA 4 +#define _iMaxIdxMask_UISA 8 +#define _iExpMask 12 +#define _sSignMask 64 +#define _sC_lo 128 +#define _sC_hi 192 +#define _sP7_lo 256 +#define _sP7_hi 320 +#define _sP6_lo 384 +#define _sP6_hi 448 +#define _sP5_lo 512 +#define _sP5_hi 576 +#define _sP4_lo 640 +#define _sP4_hi 704 +#define _sP3_lo 768 +#define _sP3_hi 832 +#define _sP2_lo 896 +#define _sP2_hi 960 +#define _sP0_lo 1024 +#define _sP0_hi 1088 + .text .section .text.exex512,"ax",@progbits ENTRY(_ZGVeN16v_tanhf_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 - vmovaps %zmm0, %zmm1 - vmovups __svml_stanh_data_internal(%rip), %zmm9 - vmovups _sP6+__svml_stanh_data_internal(%rip), %zmm11 - vmovups _sP5+__svml_stanh_data_internal(%rip), %zmm12 - vmovups _sP4+__svml_stanh_data_internal(%rip), %zmm13 - vmovups _sP3+__svml_stanh_data_internal(%rip), %zmm14 - vmovups _sP2+__svml_stanh_data_internal(%rip), %zmm15 - vpternlogd $255, %zmm2, %zmm2, %zmm2 - vandps _sAbsMask+__svml_stanh_data_internal(%rip), %zmm1, %zmm8 - vandps _sSignMask+__svml_stanh_data_internal(%rip), %zmm1, %zmm0 - -/* Here huge arguments, INF and NaNs are filtered out to callout. */ - vpandd _iExpMantMask_UISA+__svml_stanh_data_internal(%rip), %zmm1, %zmm3 - vpsubd _iMinIdxOfsMask_UISA+__svml_stanh_data_internal(%rip), %zmm3, %zmm4 - vpcmpd $2, _iExpMask+__svml_stanh_data_internal(%rip), %zmm3, %k1 + /* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpandd TANHF_DATA(_iExpMantMask_UISA)(%rip) {1to16}, %zmm0, %zmm1 + vpsubd TANHF_DATA(_iMinIdxOfsMask_UISA)(%rip) {1to16}, %zmm1, %zmm2 -/* - * small table specific variables * - * Constant loading - */ - vpxord %zmm5, %zmm5, %zmm5 - -/* if VMIN, VMAX is defined for I type */ - vpmaxsd %zmm5, %zmm4, %zmm6 - vpminsd _iMaxIdxMask_UISA+__svml_stanh_data_internal(%rip), %zmm6, %zmm7 - vpsrld $21, %zmm7, %zmm10 - vmovups _sP7+__svml_stanh_data_internal(%rip), %zmm4 - vpermt2ps _sC+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm9 - vpermt2ps _sP6+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm11 - vpermt2ps _sP7+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm4 - vpermt2ps _sP5+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm12 - vpermt2ps _sP4+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm13 - vpermt2ps _sP3+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm14 - vpermt2ps _sP2+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm15 - vpandnd %zmm3, %zmm3, %zmm2{%k1} - vptestmd %zmm2, %zmm2, %k0 - vmovups _sP0+__svml_stanh_data_internal(%rip), %zmm3 - vsubps {rn-sae}, %zmm9, %zmm8, %zmm2 - kmovw %k0, %edx - vfmadd213ps {rn-sae}, %zmm11, %zmm2, %zmm4 - vpermt2ps _sP0+64+__svml_stanh_data_internal(%rip), %zmm10, %zmm3 - vfmadd213ps {rn-sae}, %zmm12, %zmm2, %zmm4 - vfmadd213ps {rn-sae}, %zmm13, %zmm2, %zmm4 - vfmadd213ps {rn-sae}, %zmm14, %zmm2, %zmm4 - vfmadd213ps {rn-sae}, %zmm15, %zmm2, %zmm4 - vfmadd213ps {rn-sae}, %zmm3, %zmm2, %zmm4 - vorps %zmm0, %zmm4, %zmm0 - testl %edx, %edx - -/* Go to special inputs processing branch */ - jne L(SPECIAL_VALUES_BRANCH) - # LOE rbx r12 r13 r14 r15 edx zmm0 zmm1 - -/* Restore registers - * and exit the function - */ + /* Selection arguments between [0, 0x03e00000] into zmm3. */ + vpxord %zmm3, %zmm3, %zmm3 + vpmaxsd %zmm3, %zmm2, %zmm3 + vpminsd TANHF_DATA(_iMaxIdxMask_UISA)(%rip) {1to16}, %zmm3, %zmm3 -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 - */ + /* Setup permute indices in zmm3. */ + vpsrld $21, %zmm3, %zmm3 + + /* Store if there are any special cases in k1. */ + vpcmpd $6, TANHF_DATA(_iExpMask)(%rip) {1to16}, %zmm1, %k1 + + + /* Store absolute values of inputs in zmm1. */ + vmovaps TANHF_DATA(_sSignMask)(%rip), %zmm4 + vandnps %zmm0, %zmm4, %zmm1 + + vmovaps TANHF_DATA(_sC_lo)(%rip), %zmm5 + vpermt2ps TANHF_DATA(_sC_hi)(%rip), %zmm3, %zmm5 + vsubps {rn-sae}, %zmm5, %zmm1, %zmm1 + + vmovaps TANHF_DATA(_sP7_lo)(%rip), %zmm2 + vpermt2ps TANHF_DATA(_sP7_hi)(%rip), %zmm3, %zmm2 + vmovaps TANHF_DATA(_sP6_lo)(%rip), %zmm5 + vpermt2ps TANHF_DATA(_sP6_hi)(%rip), %zmm3, %zmm5 + + vmovaps TANHF_DATA(_sP5_lo)(%rip), %zmm6 + vpermt2ps TANHF_DATA(_sP5_hi)(%rip), %zmm3, %zmm6 + + vfmadd213ps {rn-sae}, %zmm5, %zmm1, %zmm2 + vfmadd213ps {rn-sae}, %zmm6, %zmm1, %zmm2 + + vmovaps TANHF_DATA(_sP4_lo)(%rip), %zmm7 + vpermt2ps TANHF_DATA(_sP4_hi)(%rip), %zmm3, %zmm7 + + vmovaps TANHF_DATA(_sP3_lo)(%rip), %zmm8 + vpermt2ps TANHF_DATA(_sP3_hi)(%rip), %zmm3, %zmm8 + + vfmadd213ps {rn-sae}, %zmm7, %zmm1, %zmm2 + vfmadd213ps {rn-sae}, %zmm8, %zmm1, %zmm2 + + vmovaps TANHF_DATA(_sP2_lo)(%rip), %zmm9 + vpermt2ps TANHF_DATA(_sP2_hi)(%rip), %zmm3, %zmm9 + + vmovaps TANHF_DATA(_sP0_lo)(%rip), %zmm10 + vpermt2ps TANHF_DATA(_sP0_hi)(%rip), %zmm3, %zmm10 + + vfmadd213ps {rn-sae}, %zmm9, %zmm1, %zmm2 + vfmadd213ps {rn-sae}, %zmm10, %zmm1, %zmm2 + + kmovw %k1, %edx + testl %edx, %edx + + /* Go to special inputs processing branch. */ + jne L(SPECIAL_VALUES_BRANCH) + /* Wait until after branch of write over zmm0. */ + vpternlogd $0xec, %zmm4, %zmm2, %zmm0 + + /* No stack restoration on the fastpath. */ + ret + + /* Branch to process special inputs. */ L(SPECIAL_VALUES_BRANCH): - vmovups %zmm1, 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 - */ + pushq %rbp + /* Need to callee save registers to preserve state across tanhf calls. + */ + pushq %r13 + pushq %r12 + movq %rsp, %rbp -L(RANGEMASK_CHECK): - btl %r12d, %r13d + /* Align stack and make room for 2x zmm vectors. */ + andq $-64, %rsp + addq $-128, %rsp -/* Call scalar math function */ - jc L(SCALAR_MATH_CALL) - # LOE rbx r15 r12d r13d + /* Save all already computed inputs. */ + vpternlogd $0xec, %zmm4, %zmm2, %zmm2 + vmovaps %zmm2, (%rsp) + /* Save origional input (zmm0 unchanged up to this point). */ + vmovaps %zmm0, 64(%rsp) -/* Special inputs - * processing loop - */ + vzeroupper + /* edx has 1s where there was a special value that needs to be handled + by a tanhf call. */ + movl %edx, %r13d L(SPECIAL_VALUES_LOOP): - incl %r12d - cmpl $16, %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 - */ + /* use r12 as index for special value that is saved across calls to + tanhf. We technically don't need a callee save register here as offset + to rsp is always [0, 56] so we can restore rsp by realigning to 64. + Essentially the tradeoff is 1 extra save/restore vs 2 extra instructions + in the loop. */ + xorl %r12d, %r12d + tzcntl %r13d, %r12d -L(SCALAR_MATH_CALL): - movl %r12d, %r14d - movss 64(%rsp,%r14,4), %xmm0 - call tanhf@PLT - # LOE rbx r14 r15 r12d r13d xmm0 + /* Scalar math fucntion call to process special input. */ + movss 64(%rsp, %r12, 4), %xmm0 + call tanhf@PLT - movss %xmm0, 128(%rsp,%r14,4) + /* No good way to avoid the store-forwarding fault this will cause on + return. `lfence` avoids the SF fault but at greater cost as it + serialized stack/callee save restoration. */ + movss %xmm0, (%rsp, %r12, 4) -/* Process special inputs in loop */ - jmp L(SPECIAL_VALUES_LOOP) - # LOE rbx r15 r12d r13d -END(_ZGVeN16v_tanhf_skx) + blsr %r13d, %r13d + jnz L(SPECIAL_VALUES_LOOP) - .section .rodata, "a" - .align 64 + /* All results have been written to 64(%rsp). */ + vmovaps (%rsp), %zmm0 + /* Restore rsp. */ + movq %rbp, %rsp + /* Restore callee save registers. */ + popq %r12 + popq %r13 + popq %rbp + ret +END(_ZGVeN16v_tanhf_skx) + .section .rodata, "a" + .align 16 #ifdef __svml_stanh_data_internal_typedef -typedef unsigned int VUINT32; -typedef struct -{ - __declspec(align(64)) VUINT32 _sC[32][1]; - __declspec(align(64)) VUINT32 _sP0[32][1]; - __declspec(align(64)) VUINT32 _sP2[32][1]; - __declspec(align(64)) VUINT32 _sP3[32][1]; - __declspec(align(64)) VUINT32 _sP4[32][1]; - __declspec(align(64)) VUINT32 _sP5[32][1]; - __declspec(align(64)) VUINT32 _sP6[32][1]; - __declspec(align(64)) VUINT32 _sP7[32][1]; - __declspec(align(64)) VUINT32 _iExpMantMask_UISA[16][1]; - __declspec(align(64)) VUINT32 _iMinIdxOfsMask_UISA[16][1]; - __declspec(align(64)) VUINT32 _iMaxIdxMask_UISA[16][1]; - __declspec(align(64)) VUINT32 _sSignMask[16][1]; - __declspec(align(64)) VUINT32 _sAbsMask[16][1]; - __declspec(align(64)) VUINT32 _iExpMantMask[16][1]; - __declspec(align(64)) VUINT32 _iExpMask[16][1]; - __declspec(align(64)) VUINT32 _iMinIdxOfsMask[16][1]; - __declspec(align(64)) VUINT32 _iMaxIdxMask[16][1]; -} __svml_stanh_data_internal; + typedef unsigned int VUINT32; + typedef struct + { + __declspec (align(4))VUINT32 _iExpMantMask_UISA[1][1]; + __declspec (align(4))VUINT32 _iMinIdxOfsMask_UISA[1][1]; + __declspec (align(4))VUINT32 _iMaxIdxMask_UISA[1][1]; + __declspec (align(4))VUINT32 _iExpMask[1][1]; + __declspec (align(64))VUINT32 _sSignMask[16][1]; + __declspec (align(64))VUINT32 _sC_lo[16][1]; + __declspec (align(64))VUINT32 _sC_hi[16][1]; + __declspec (align(64))VUINT32 _sP7_lo[16][1]; + __declspec (align(64))VUINT32 _sP7_hi[16][1]; + __declspec (align(64))VUINT32 _sP6_lo[16][1]; + __declspec (align(64))VUINT32 _sP6_hi[16][1]; + __declspec (align(64))VUINT32 _sP5_lo[16][1]; + __declspec (align(64))VUINT32 _sP5_hi[16][1]; + __declspec (align(64))VUINT32 _sP4_lo[16][1]; + __declspec (align(64))VUINT32 _sP4_hi[16][1]; + __declspec (align(64))VUINT32 _sP3_lo[16][1]; + __declspec (align(64))VUINT32 _sP3_hi[16][1]; + __declspec (align(64))VUINT32 _sP2_lo[16][1]; + __declspec (align(64))VUINT32 _sP2_hi[16][1]; + __declspec (align(64))VUINT32 _sP0_lo[16][1]; + __declspec (align(64))VUINT32 _sP0_hi[16][1]; + }__svml_stanh_data_internal; #endif + __svml_stanh_data_internal: - /*== _sC ==*/ - .long 0x00000000, 0x3d700000, 0x3d900000, 0x3db00000 - .long 0x3dd00000, 0x3df00000, 0x3e100000, 0x3e300000 - .long 0x3e500000, 0x3e700000, 0x3e900000, 0x3eb00000 - .long 0x3ed00000, 0x3ef00000, 0x3f100000, 0x3f300000 - .long 0x3f500000, 0x3f700000, 0x3f900000, 0x3fb00000 - .long 0x3fd00000, 0x3ff00000, 0x40100000, 0x40300000 - .long 0x40500000, 0x40700000, 0x40900000, 0x40b00000 - .long 0x40d00000, 0x40f00000, 0x41100000, 0x00000000 - /*== p0 ==*/ - .align 64 - .long 0x00000000, 0x3d6fb9c9, 0x3d8fc35f, 0x3daf9169 - .long 0x3dcf49ab, 0x3deee849, 0x3e0f0ee8, 0x3e2e4984 - .long 0x3e4d2f8e, 0x3e6bb32e, 0x3e8c51cd, 0x3ea96163 - .long 0x3ec543f1, 0x3edfd735, 0x3f028438, 0x3f18abf0 - .long 0x3f2bc480, 0x3f3bec1c, 0x3f4f2e5b, 0x3f613c53 - .long 0x3f6ce37d, 0x3f743c4f, 0x3f7a5feb, 0x3f7dea85 - .long 0x3f7f3b3d, 0x3f7fb78c, 0x3f7fefd4, 0x3f7ffdd0 - .long 0x3f7fffb4, 0x3f7ffff6, 0x3f7fffff, 0x3f800000 - /*== p2 ==*/ - .align 64 - .long 0x3f800000, 0x3f7f1f84, 0x3f7ebd11, 0x3f7e1e5f - .long 0x3f7d609f, 0x3f7c842d, 0x3f7b00e5, 0x3f789580 - .long 0x3f75b8ad, 0x3f726fd9, 0x3f6cc59b, 0x3f63fb92 - .long 0x3f59ff97, 0x3f4f11d7, 0x3f3d7573, 0x3f24f360 - .long 0x3f0cbfe7, 0x3eec1a69, 0x3eb0a801, 0x3e6753a2 - .long 0x3e132f1a, 0x3db7e7d3, 0x3d320845, 0x3c84d3d4 - .long 0x3bc477b7, 0x3b10d3da, 0x3a01601e, 0x388c1a3b - .long 0x3717b0da, 0x35a43bce, 0x338306c6, 0x00000000 - /*== p3 ==*/ - .align 64 - .long 0xb0343c7b, 0xbd6ee69d, 0xbd8f0da7, 0xbdae477d - .long 0xbdcd2a1f, 0xbdeba80d, 0xbe0c443b, 0xbe293cf3 - .long 0xbe44f282, 0xbe5f3651, 0xbe81c7c0, 0xbe96d7ca - .long 0xbea7fb8e, 0xbeb50e9e, 0xbec12efe, 0xbec4be92 - .long 0xbebce070, 0xbead510e, 0xbe8ef7d6, 0xbe4b8704 - .long 0xbe083237, 0xbdaf7449, 0xbd2e1ec4, 0xbc83bf06 - .long 0xbbc3e0b5, 0xbb10aadc, 0xba0157db, 0xb88c18f2 - .long 0xb717b096, 0xb5a43bae, 0xb383012c, 0x00000000 - /*== p4 ==*/ - .align 64 - .long 0xbeaaaaa5, 0xbeab0612, 0xbea7f01f, 0xbea4e120 - .long 0xbea387b7, 0xbea15962, 0xbe9d57f7, 0xbe976b5a - .long 0xbe90230d, 0xbe880dff, 0xbe7479b3, 0xbe4c3d88 - .long 0xbe212482, 0xbdeb8cba, 0xbd5e78ad, 0x3c6b5e6e - .long 0x3d839143, 0x3dc21ee1, 0x3de347af, 0x3dcbec96 - .long 0x3d99ef2d, 0x3d542ea1, 0x3cdde701, 0x3c2cca67 - .long 0x3b81cb27, 0x3ac073a1, 0x39ac3032, 0x383a94d9 - .long 0x36ca081d, 0x355abd4c, 0x332b3cb6, 0x00000000 - /*== p5 ==*/ - .align 64 - .long 0xb76dd6b9, 0xbe1c276d, 0x3c1dcf2f, 0x3dc1a78d - .long 0x3d96f985, 0x3da2b61b, 0x3dc13397, 0x3dd2f670 - .long 0x3df48a0a, 0x3e06c5a8, 0x3e1a3aba, 0x3e27c405 - .long 0x3e2e78d0, 0x3e2c3e44, 0x3e1d3097, 0x3df4a8f4 - .long 0x3da38508, 0x3d31416a, 0x3b562657, 0xbcaeeac9 - .long 0xbcce9419, 0xbcaaeac4, 0xbc49e7d0, 0xbba71ddd - .long 0xbb003b0e, 0xba3f9a05, 0xb92c08a7, 0xb7ba9232 - .long 0xb64a0b0f, 0xb4dac169, 0xb2ab78ac, 0x00000000 - /*== p6 ==*/ - .align 64 - .long 0x3e0910e9, 0x43761143, 0x4165ecdc, 0xc190f756 - .long 0xc08c097d, 0xc02ba813, 0xbf7f6bda, 0x3f2b1dc0 - .long 0x3ece105d, 0x3f426a94, 0xbadb0dc4, 0x3da43b17 - .long 0xbd51ab88, 0xbcaea23d, 0xbd3b6d8d, 0xbd6caaad - .long 0xbd795bed, 0xbd5fddda, 0xbd038f3b, 0xbc1cad63 - .long 0x3abb4766, 0x3b95f10b, 0x3b825873, 0x3afaea66 - .long 0x3a49f878, 0x39996bf3, 0x388f3e6c, 0x371bb0e3 - .long 0x35a8a5e6, 0x34369b17, 0x322487b0, 0x00000000 - /*== p7 ==*/ - .align 64 - .long 0xbc0e2f66, 0x460bda12, 0x43d638ef, 0xc3e11c3e - .long 0xc2baa4e9, 0xc249da2d, 0xc1859b82, 0x40dd5b57 - .long 0x40494640, 0x40c730a8, 0xbf0f160e, 0x3e30e76f - .long 0xbea81387, 0xbdb26a1c, 0xbd351e57, 0xbb4c01a0 - .long 0x3c1d7bfb, 0x3c722cd1, 0x3c973f1c, 0x3c33a31b - .long 0x3b862ef4, 0x3a27b3d0, 0xba3b5907, 0xba0efc22 - .long 0xb97f9f0f, 0xb8c8af50, 0xb7bdddfb, 0xb64f2950 - .long 0xb4e085b1, 0xb3731dfa, 0xb15a1f04, 0x00000000 - .align 64 - .long 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000, 0x7fe00000 /* _iExpMantMask_UISA */ - .align 64 - .long 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000, 0x3d400000 /* _iMinIdxOfsMask_UISA */ - .align 64 - .long 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000, 0x03e00000 /* _iMaxIdxMask_UISA */ - .align 64 - .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ - .align 64 - .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ - .align 64 - .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ - .align 64 - .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ - .align 64 - .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ - .align 64 - .long 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ - .align 64 - .type __svml_stanh_data_internal,@object - .size __svml_stanh_data_internal,.-__svml_stanh_data_internal + .align 4 + /* _iExpMantMask_UISA. */ + .long 0x7fe00000 + + .align 4 + /* _iMinIdxOfsMask_UISA. */ + .long 0x3d400000 + + .align 4 + /* _iMaxIdxMask_UISA. */ + .long 0x03e00000 + + .align 4 + /* _iExpMask. */ + .long 0x7f000000 + + .align 64 + /* _sSignMask. */ + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 + .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 + + .align 64 + /* _sC_lo. */ + .long 0x00000000, 0x3d700000, 0x3d900000, 0x3db00000 + .long 0x3dd00000, 0x3df00000, 0x3e100000, 0x3e300000 + .long 0x3e500000, 0x3e700000, 0x3e900000, 0x3eb00000 + .long 0x3ed00000, 0x3ef00000, 0x3f100000, 0x3f300000 + + .align 64 + /* _sC_hi. */ + .long 0x3f500000, 0x3f700000, 0x3f900000, 0x3fb00000 + .long 0x3fd00000, 0x3ff00000, 0x40100000, 0x40300000 + .long 0x40500000, 0x40700000, 0x40900000, 0x40b00000 + .long 0x40d00000, 0x40f00000, 0x41100000, 0x00000000 + + .align 64 + /* _sP7_lo. */ + .long 0xbc0e2f66, 0x460bda12, 0x43d638ef, 0xc3e11c3e + .long 0xc2baa4e9, 0xc249da2d, 0xc1859b82, 0x40dd5b57 + .long 0x40494640, 0x40c730a8, 0xbf0f160e, 0x3e30e76f + .long 0xbea81387, 0xbdb26a1c, 0xbd351e57, 0xbb4c01a0 + + .align 64 + /* _sP7_hi. */ + .long 0x3c1d7bfb, 0x3c722cd1, 0x3c973f1c, 0x3c33a31b + .long 0x3b862ef4, 0x3a27b3d0, 0xba3b5907, 0xba0efc22 + .long 0xb97f9f0f, 0xb8c8af50, 0xb7bdddfb, 0xb64f2950 + .long 0xb4e085b1, 0xb3731dfa, 0xb15a1f04, 0x00000000 + + .align 64 + /* _sP6_lo. */ + .long 0x3e0910e9, 0x43761143, 0x4165ecdc, 0xc190f756 + .long 0xc08c097d, 0xc02ba813, 0xbf7f6bda, 0x3f2b1dc0 + .long 0x3ece105d, 0x3f426a94, 0xbadb0dc4, 0x3da43b17 + .long 0xbd51ab88, 0xbcaea23d, 0xbd3b6d8d, 0xbd6caaad + + .align 64 + /* _sP6_hi. */ + .long 0xbd795bed, 0xbd5fddda, 0xbd038f3b, 0xbc1cad63 + .long 0x3abb4766, 0x3b95f10b, 0x3b825873, 0x3afaea66 + .long 0x3a49f878, 0x39996bf3, 0x388f3e6c, 0x371bb0e3 + .long 0x35a8a5e6, 0x34369b17, 0x322487b0, 0x00000000 + + .align 64 + /* _sP5_lo. */ + .long 0xb76dd6b9, 0xbe1c276d, 0x3c1dcf2f, 0x3dc1a78d + .long 0x3d96f985, 0x3da2b61b, 0x3dc13397, 0x3dd2f670 + .long 0x3df48a0a, 0x3e06c5a8, 0x3e1a3aba, 0x3e27c405 + .long 0x3e2e78d0, 0x3e2c3e44, 0x3e1d3097, 0x3df4a8f4 + + .align 64 + /* _sP5_hi. */ + .long 0x3da38508, 0x3d31416a, 0x3b562657, 0xbcaeeac9 + .long 0xbcce9419, 0xbcaaeac4, 0xbc49e7d0, 0xbba71ddd + .long 0xbb003b0e, 0xba3f9a05, 0xb92c08a7, 0xb7ba9232 + .long 0xb64a0b0f, 0xb4dac169, 0xb2ab78ac, 0x00000000 + + .align 64 + /* _sP4_lo. */ + .long 0xbeaaaaa5, 0xbeab0612, 0xbea7f01f, 0xbea4e120 + .long 0xbea387b7, 0xbea15962, 0xbe9d57f7, 0xbe976b5a + .long 0xbe90230d, 0xbe880dff, 0xbe7479b3, 0xbe4c3d88 + .long 0xbe212482, 0xbdeb8cba, 0xbd5e78ad, 0x3c6b5e6e + + .align 64 + /* _sP4_hi. */ + .long 0x3d839143, 0x3dc21ee1, 0x3de347af, 0x3dcbec96 + .long 0x3d99ef2d, 0x3d542ea1, 0x3cdde701, 0x3c2cca67 + .long 0x3b81cb27, 0x3ac073a1, 0x39ac3032, 0x383a94d9 + .long 0x36ca081d, 0x355abd4c, 0x332b3cb6, 0x00000000 + + .align 64 + /* _sP3_lo. */ + .long 0xb0343c7b, 0xbd6ee69d, 0xbd8f0da7, 0xbdae477d + .long 0xbdcd2a1f, 0xbdeba80d, 0xbe0c443b, 0xbe293cf3 + .long 0xbe44f282, 0xbe5f3651, 0xbe81c7c0, 0xbe96d7ca + .long 0xbea7fb8e, 0xbeb50e9e, 0xbec12efe, 0xbec4be92 + + .align 64 + /* _sP3_hi. */ + .long 0xbebce070, 0xbead510e, 0xbe8ef7d6, 0xbe4b8704 + .long 0xbe083237, 0xbdaf7449, 0xbd2e1ec4, 0xbc83bf06 + .long 0xbbc3e0b5, 0xbb10aadc, 0xba0157db, 0xb88c18f2 + .long 0xb717b096, 0xb5a43bae, 0xb383012c, 0x00000000 + + .align 64 + /* _sP2_lo. */ + .long 0x3f800000, 0x3f7f1f84, 0x3f7ebd11, 0x3f7e1e5f + .long 0x3f7d609f, 0x3f7c842d, 0x3f7b00e5, 0x3f789580 + .long 0x3f75b8ad, 0x3f726fd9, 0x3f6cc59b, 0x3f63fb92 + .long 0x3f59ff97, 0x3f4f11d7, 0x3f3d7573, 0x3f24f360 + + .align 64 + /* _sP2_hi. */ + .long 0x3f0cbfe7, 0x3eec1a69, 0x3eb0a801, 0x3e6753a2 + .long 0x3e132f1a, 0x3db7e7d3, 0x3d320845, 0x3c84d3d4 + .long 0x3bc477b7, 0x3b10d3da, 0x3a01601e, 0x388c1a3b + .long 0x3717b0da, 0x35a43bce, 0x338306c6, 0x00000000 + + .align 64 + /* _sP0_lo. */ + .long 0x00000000, 0x3d6fb9c9, 0x3d8fc35f, 0x3daf9169 + .long 0x3dcf49ab, 0x3deee849, 0x3e0f0ee8, 0x3e2e4984 + .long 0x3e4d2f8e, 0x3e6bb32e, 0x3e8c51cd, 0x3ea96163 + .long 0x3ec543f1, 0x3edfd735, 0x3f028438, 0x3f18abf0 + + .align 64 + /* _sP0_hi. */ + .long 0x3f2bc480, 0x3f3bec1c, 0x3f4f2e5b, 0x3f613c53 + .long 0x3f6ce37d, 0x3f743c4f, 0x3f7a5feb, 0x3f7dea85 + .long 0x3f7f3b3d, 0x3f7fb78c, 0x3f7fefd4, 0x3f7ffdd0 + .long 0x3f7fffb4, 0x3f7ffff6, 0x3f7fffff, 0x3f800000 + + .align 64 + .type __svml_stanh_data_internal, @object + .size __svml_stanh_data_internal, .-__svml_stanh_data_internal diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S index 50f753ffb3..716b06d640 100644 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf4_core_sse4.S @@ -70,763 +70,154 @@ * */ -/* Offsets for data table __svml_stanh_data_internal - */ -#define _dbP 0 -#define _sSignMask 4288 -#define _sAbsMask 4304 -#define _iExpMantMask 4320 -#define _iExpMask 4336 -#define _iMinIdxOfsMask 4352 -#define _iMaxIdxMask 4368 #include +#define ONLY_DECL_OFFSET +#include "svml_s_tanhf_rodata.S" + .text .section .text.sse4,"ax",@progbits ENTRY(_ZGVbN4v_tanhf_sse4) - subq $72, %rsp - cfi_def_cfa_offset(80) - movaps %xmm0, %xmm5 + /* Save copy of input in xmm12. */ + movaps %xmm0, %xmm12 -/* Here huge arguments, INF and NaNs are filtered out to callout. */ - movdqu _iExpMantMask+__svml_stanh_data_internal(%rip), %xmm9 - lea _dbP+16+__svml_stanh_data_internal(%rip), %r8 - pand %xmm5, %xmm9 + /* Here huge arguments, INF and NaNs are filtered out to callout. */ + movdqu TANHF_DATA(_iExpMantMask)(%rip), %xmm3 + pand %xmm0, %xmm3 -/* if VMIN, VMAX is defined for I type */ - pxor %xmm7, %xmm7 - movdqa %xmm9, %xmm6 - psubd _iMinIdxOfsMask+__svml_stanh_data_internal(%rip), %xmm9 -/* - * small table specific variables * - * Constant loading - */ - movdqu _iMaxIdxMask+__svml_stanh_data_internal(%rip), %xmm10 - movdqa %xmm9, %xmm11 - movdqa %xmm9, %xmm8 - pcmpgtd %xmm10, %xmm11 - pcmpgtd %xmm7, %xmm8 - movdqa %xmm11, %xmm14 - pand %xmm8, %xmm9 - andps %xmm11, %xmm10 - andnps %xmm9, %xmm14 - orps %xmm10, %xmm14 - psrld $14, %xmm14 - movd %xmm14, %edx - pshufd $1, %xmm14, %xmm12 - pshufd $2, %xmm14, %xmm13 - movd %xmm12, %ecx - pshufd $3, %xmm14, %xmm15 - movups _sAbsMask+__svml_stanh_data_internal(%rip), %xmm3 - movslq %edx, %rdx - andps %xmm5, %xmm3 - movslq %ecx, %rcx - pcmpgtd _iExpMask+__svml_stanh_data_internal(%rip), %xmm6 - movd %xmm13, %esi - movups -16(%rdx,%r8), %xmm2 - movaps %xmm2, %xmm0 - movd %xmm15, %edi - movmskps %xmm6, %eax - movups -16(%rcx,%r8), %xmm6 - unpcklpd %xmm6, %xmm0 - unpckhpd %xmm6, %xmm2 - cvtps2pd %xmm3, %xmm6 - movhlps %xmm3, %xmm3 - cvtps2pd %xmm3, %xmm3 - movslq %esi, %rsi - movslq %edi, %rdi - movups (%rcx,%r8), %xmm8 - movups (%rdx,%r8), %xmm12 - movups (%rsi,%r8), %xmm13 - movaps %xmm12, %xmm10 - movups (%rdi,%r8), %xmm9 - movaps %xmm13, %xmm11 - unpckhpd %xmm8, %xmm12 - unpckhpd %xmm9, %xmm13 - mulpd %xmm6, %xmm12 - mulpd %xmm3, %xmm13 - unpcklpd %xmm8, %xmm10 - unpcklpd %xmm9, %xmm11 - addpd %xmm10, %xmm12 - addpd %xmm11, %xmm13 - mulpd %xmm6, %xmm12 - mulpd %xmm3, %xmm13 - addpd %xmm2, %xmm12 - movups -16(%rsi,%r8), %xmm1 - movups -16(%rdi,%r8), %xmm7 - movaps %xmm1, %xmm14 - unpckhpd %xmm7, %xmm1 - addpd %xmm1, %xmm13 - mulpd %xmm12, %xmm6 - mulpd %xmm13, %xmm3 - addpd %xmm0, %xmm6 - unpcklpd %xmm7, %xmm14 - addpd %xmm14, %xmm3 - cvtpd2ps %xmm6, %xmm0 - cvtpd2ps %xmm3, %xmm1 - movups _sSignMask+__svml_stanh_data_internal(%rip), %xmm4 - movlhps %xmm1, %xmm0 - andps %xmm5, %xmm4 - orps %xmm4, %xmm0 - testl %eax, %eax - -/* Go to special inputs processing branch */ - jne L(SPECIAL_VALUES_BRANCH) - # LOE rbx rbp r12 r13 r14 r15 eax xmm0 xmm5 - -/* Restore registers - * and exit the function - */ + /* Selection of arguments between [0, 0x04280000] into xmm3. */ + pxor %xmm7, %xmm7 + /* Save xmm3 for special values check at end. */ + movdqa %xmm3, %xmm8 + psubd TANHF_DATA(_iMinIdxOfsMask)(%rip), %xmm3 + pmaxsd %xmm7, %xmm3 + pminsd TANHF_DATA(_iMaxIdxMask)(%rip), %xmm3 + psrld $14, %xmm3 -L(EXIT): - addq $72, %rsp - cfi_def_cfa_offset(8) - ret - cfi_def_cfa_offset(80) + movq %xmm3, %rcx + movl %ecx, %edx + shrq $32, %rcx -/* Branch to process - * special inputs - */ + /* xmm8 contains mask of special values. */ + pcmpgtd TANHF_DATA(_iExpMask)(%rip), %xmm8 -L(SPECIAL_VALUES_BRANCH): - movups %xmm5, 32(%rsp) - movups %xmm0, 48(%rsp) - # LOE rbx rbp r12 r13 r14 r15 eax - - xorl %edx, %edx - movq %r12, 16(%rsp) - cfi_offset(12, -64) - movl %edx, %r12d - movq %r13, 8(%rsp) - cfi_offset(13, -72) - movl %eax, %r13d - movq %r14, (%rsp) - cfi_offset(14, -80) - # LOE rbx rbp r15 r12d r13d - -/* Range mask - * bits check - */ + pshufd $0x0e, %xmm3, %xmm3 + movq %xmm3, %rdi + movl %edi, %esi + shrq $32, %rdi -L(RANGEMASK_CHECK): - btl %r12d, %r13d + movaps TANHF_DATA(_sAbsMask)(%rip), %xmm1 + andps %xmm1, %xmm0 -/* Call scalar math function */ - jc L(SCALAR_MATH_CALL) - # LOE rbx rbp r15 r12d r13d + leaq TANHF_DATA(_lookupTable)(%rip), %rax + movups (%rdx, %rax), %xmm2 + movups (%rcx, %rax), %xmm6 -/* Special inputs - * processing loop - */ + movaps %xmm2, %xmm4 + movlhps %xmm6, %xmm4 + unpckhpd %xmm6, %xmm2 -L(SPECIAL_VALUES_LOOP): - incl %r12d - cmpl $4, %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 - */ + cvtps2pd %xmm0, %xmm6 + movhlps %xmm0, %xmm0 + cvtps2pd %xmm0, %xmm0 -L(SCALAR_MATH_CALL): - movl %r12d, %r14d - movss 32(%rsp,%r14,4), %xmm0 - call tanhf@PLT - # LOE rbx rbp r14 r15 r12d r13d xmm0 + movups 16(%rdx, %rax), %xmm5 + movups 16(%rsi, %rax), %xmm13 - movss %xmm0, 48(%rsp,%r14,4) + movaps %xmm5, %xmm10 + movaps %xmm13, %xmm11 -/* Process special inputs in loop */ - jmp L(SPECIAL_VALUES_LOOP) - # LOE rbx rbp r15 r12d r13d -END(_ZGVbN4v_tanhf_sse4) + movups 16(%rcx, %rax), %xmm7 + movups 16(%rdi, %rax), %xmm3 + + unpckhpd %xmm7, %xmm5 + unpckhpd %xmm3, %xmm13 + + mulpd %xmm6, %xmm5 + mulpd %xmm0, %xmm13 + + movlhps %xmm7, %xmm10 + movlhps %xmm3, %xmm11 + + addpd %xmm10, %xmm5 + addpd %xmm11, %xmm13 + + mulpd %xmm6, %xmm5 + mulpd %xmm0, %xmm13 + + addpd %xmm2, %xmm5 - .section .rodata, "a" - .align 16 - -#ifdef __svml_stanh_data_internal_typedef -typedef unsigned int VUINT32; -typedef struct -{ - __declspec(align(16)) VUINT32 _dbP[(134*4)][2]; - __declspec(align(16)) VUINT32 _sSignMask[4][1]; - __declspec(align(16)) VUINT32 _sAbsMask[4][1]; - __declspec(align(16)) VUINT32 _iExpMantMask[4][1]; - __declspec(align(16)) VUINT32 _iExpMask[4][1]; - __declspec(align(16)) VUINT32 _iMinIdxOfsMask[4][1]; - __declspec(align(16)) VUINT32 _iMaxIdxMask[4][1]; -} __svml_stanh_data_internal; -#endif -__svml_stanh_data_internal: - /* Pol_000: err=7.93e-09, x in [0.0000000; 0.0312500]. */ - .quad 0x0000000000000000 /* A00 = +0.000000000000000000000e-01 */ - .quad 0x3FF00000022C70EB /* A01 = +1.000000008097283510367e+00 */ - .quad 0xBED00E878CFFA194 /* A02 = -3.828228912518614443549e-06 */ - .quad 0xBFD551766D0607A9 /* A03 = -3.330970825846813476723e-01 */ - .quad 0xBE53D60CE3E4C297 /* A00 = -1.847383956330407336230e-08 */ - .quad 0x3FF000024177CF5C /* A01 = +1.000002151235967140508e+00 */ - .quad 0xBF1758BC94A51A25 /* A02 = -8.906031613262943753568e-05 */ - .quad 0xBFD53EAE67E0D4F0 /* A03 = -3.319507612644221339337e-01 */ - .quad 0xBE5A9E47EF32D6FE /* A00 = -2.479020984039698285657e-08 */ - .quad 0x3FF00002DA983057 /* A01 = +1.000002721676556793895e+00 */ - .quad 0xBF1BD953509E94AA /* A02 = -1.062352277175377670507e-04 */ - .quad 0xBFD53BDB562EEDD5 /* A03 = -3.317783681520414806876e-01 */ - .quad 0xBE6191BBE496D294 /* A00 = -3.272532162914017685901e-08 */ - .quad 0x3FF0000390492017 /* A01 = +1.000003398528866105366e+00 */ - .quad 0xBF20727E814A57CE /* A02 = -1.254825043772153972919e-04 */ - .quad 0xBFD538DE060A6F22 /* A03 = -3.315959033004550748913e-01 */ - .quad 0xBE66DAFA2A893A25 /* A00 = -4.257146219278012568149e-08 */ - .quad 0x3FF0000465E08CD1 /* A01 = +1.000004194219219266770e+00 */ - .quad 0xBF2341C765EF91B6 /* A02 = -1.469188600530365522261e-04 */ - .quad 0xBFD535B6841FAF9E /* A03 = -3.314033785124993469751e-01 */ - .quad 0xBE6D5794E361E964 /* A00 = -5.465394929765249413434e-08 */ - .quad 0x3FF000055EE2A0CB /* A01 = +1.000005121846742950353e+00 */ - .quad 0xBF265E6C77E66C8B /* A02 = -1.706607253709506650304e-04 */ - .quad 0xBFD53264DDCCEDA6 /* A03 = -3.312008062382240103361e-01 */ - .quad 0xBE729C844D374A6E /* A00 = -6.933284462462096107184e-08 */ - .quad 0x3FF000067F019093 /* A01 = +1.000006195180536350264e+00 */ - .quad 0xBF29CC5348D6DCE5 /* A02 = -1.968242326435338705130e-04 */ - .quad 0xBFD52EE92121ED35 /* A03 = -3.309881995734998416658e-01 */ - .quad 0xBE775AEA17EAA872 /* A00 = -8.700465590574974405858e-08 */ - .quad 0x3FF00007CA1D66B8 /* A01 = +1.000007428656699559610e+00 */ - .quad 0xBF2D8F5EB98A2637 /* A02 = -2.255252009216044881395e-04 */ - .quad 0xBFD52B435CDF9128 /* A03 = -3.307655722585587376727e-01 */ - .quad 0xBE7D04DA28C343F0 /* A00 = -1.081040272327705484794e-07 */ - .quad 0x3FF000094443CCF5 /* A01 = +1.000008837375216730337e+00 */ - .quad 0xBF30D5B76C947AE5 /* A02 = -2.568791210978817814332e-04 */ - .quad 0xBFD52773A0776FAD /* A03 = -3.305329386764651045105e-01 */ - .quad 0xBE81DD77A12C51C7 /* A00 = -1.331054169875768625701e-07 */ - .quad 0x3FF0000AF1AFD2DA /* A01 = +1.000010437096696680470e+00 */ - .quad 0xBF331230624C1680 /* A02 = -2.910011410651516805537e-04 */ - .quad 0xBFD52379FC0B61DF /* A03 = -3.302903138515186909352e-01 */ - .quad 0xBE85D04EEEB3C435 /* A00 = -1.625247628488202841012e-07 */ - .quad 0x3FF0000CD6C9B1F2 /* A01 = +1.000012244238970726684e+00 */ - .quad 0xBF357F0742FADDD4 /* A02 = -3.280060509313874068243e-04 */ - .quad 0xBFD51F56806D0E81 /* A03 = -3.300377134475880880338e-01 */ - .quad 0xBE8A6E289B59681B /* A00 = -1.969211333326924655065e-07 */ - .quad 0x3FF0000EF8268F72 /* A01 = +1.000014275873550406715e+00 */ - .quad 0xBF381E277A1B747A /* A02 = -3.680082682942575423093e-04 */ - .quad 0xBFD51B093F1D6FD4 /* A03 = -3.297751537663746734808e-01 */ - .quad 0xBE8FCBC40EE9ABD5 /* A00 = -2.368983653301529373887e-07 */ - .quad 0x3FF000115A883B6C /* A01 = +1.000016549721943981410e+00 */ - .quad 0xBF3AF17AC974B3D9 /* A02 = -4.111218235774406434303e-04 */ - .quad 0xBFD516924A4C549C /* A03 = -3.295026517456081105450e-01 */ - .quad 0xBE92FFBC60A3F956 /* A00 = -2.831066871072026054144e-07 */ - .quad 0x3FF0001402DCED8A /* A01 = +1.000019084151832604590e+00 */ - .quad 0xBF3DFAE9390C4801 /* A02 = -4.574603454311488280083e-04 */ - .quad 0xBFD511F1B4D7DC3A /* A03 = -3.292202249571719585575e-01 */ - .quad 0xBE9690A22F96D5AD /* A00 = -3.362443262393081632612e-07 */ - .quad 0x3FF00016F63EFF5D /* A01 = +1.000021898173108825247e+00 */ - .quad 0xBF409E2C839605BB /* A02 = -5.071370461992499986334e-04 */ - .quad 0xBFD50D27924BEE00 /* A03 = -3.289278916051614487515e-01 */ - .quad 0xBE9AA56C65E72A73 /* A00 = -3.970591019557469835586e-07 */ - .quad 0x3FF0001A39F4A43E /* A01 = +1.000025011433776978009e+00 */ - .quad 0xBF425BD74C3D6667 /* A02 = -5.602647074553602319844e-04 */ - .quad 0xBFD50833F6E1ABA2 /* A03 = -3.286256705238718156536e-01 */ - .quad 0xBE9F4BD4FF1A83B0 /* A00 = -4.663500013744687071912e-07 */ - .quad 0x3FF0001DD36F9EC2 /* A01 = +1.000028444215715683896e+00 */ - .quad 0xBF44376634149405 /* A02 = -6.169556656102642569831e-04 */ - .quad 0xBFD50316F77EDEE5 /* A03 = -3.283135811757190158922e-01 */ - .quad 0xBEA3B625387BB079 /* A00 = -5.874486399249461304297e-07 */ - .quad 0x3FF00023E14CFBA9 /* A01 = +1.000034217911642153709e+00 */ - .quad 0xBF47392F923218D2 /* A02 = -7.087213783883111826306e-04 */ - .quad 0xBFD4FB1FACDEB938 /* A03 = -3.278273761924483942209e-01 */ - .quad 0xBEAA6E24F543500A /* A00 = -7.876828740601738750574e-07 */ - .quad 0x3FF0002D5C6E8412 /* A01 = +1.000043259679163742959e+00 */ - .quad 0xBF4BAF02BD7FDD70 /* A02 = -8.448375110664940040861e-04 */ - .quad 0xBFD4EFEE6527A7DE /* A03 = -3.271442401734229177279e-01 */ - .quad 0xBEB16E3EBE2157D0 /* A00 = -1.038947396133402500647e-06 */ - .quad 0x3FF00038990FEE2F /* A01 = +1.000053975962952312884e+00 */ - .quad 0xBF50569481C574CB /* A02 = -9.972048056490652716971e-04 */ - .quad 0xBFD4E419278DA2B4 /* A03 = -3.264220129263251113372e-01 */ - .quad 0xBEB6A7B6723165D4 /* A00 = -1.350350836279403750524e-06 */ - .quad 0x3FF00045CAB4158E /* A01 = +1.000066558657042303793e+00 */ - .quad 0xBF531D7C9C849108 /* A02 = -1.166698160951775212202e-03 */ - .quad 0xBFD4D7A0BB33B152 /* A03 = -3.256608799117844954552e-01 */ - .quad 0xBEBD0EE2A8654AFD /* A00 = -1.732000471561702711532e-06 */ - .quad 0x3FF00055276F18D6 /* A01 = +1.000081209219890521211e+00 */ - .quad 0xBF562FDBA3FB6C6C /* A02 = -1.354183666925102939860e-03 */ - .quad 0xBFD4CA85F1B93DB2 /* A03 = -3.248610363561638125773e-01 */ - .quad 0xBEC269D4036A207E /* A00 = -2.195047297096822741730e-06 */ - .quad 0x3FF00066E7DA6E4E /* A01 = +1.000098138500919997540e+00 */ - .quad 0xBF5991499FC36B3A /* A02 = -1.560518167983372759405e-03 */ - .quad 0xBFD4BCC9A72283D6 /* A03 = -3.240226871658341556426e-01 */ - .quad 0xBEC7154B6C09CFE1 /* A00 = -2.751729738565190291276e-06 */ - .quad 0x3FF0007B47086B80 /* A01 = +1.000117566559055148900e+00 */ - .quad 0xBF5D455433B4F8F4 /* A02 = -1.786548832412968197680e-03 */ - .quad 0xBFD4AE6CC1BFE145 /* A03 = -3.231460468373550942722e-01 */ - .quad 0xBECCA68CC64A0F8A /* A00 = -3.415415948561670285790e-06 */ - .quad 0x3FF00092827742F7 /* A01 = +1.000139722473418535387e+00 */ - .quad 0xBF60A7BF15A527AF /* A02 = -2.033112728132522705610e-03 */ - .quad 0xBFD49F703214084C /* A03 = -3.222313393636155876010e-01 */ - .quad 0xBED19E68676B241B /* A00 = -4.200644630977303616698e-06 */ - .quad 0x3FF000ACDA037B26 /* A01 = +1.000164844146362863597e+00 */ - .quad 0xBF62D99F836A02F8 /* A02 = -2.301036405072284102280e-03 */ - .quad 0xBFD48FD4F2B91B28 /* A03 = -3.212787981359945810311e-01 */ - .quad 0xBED57CF4B0C7AA54 /* A00 = -5.123164339408145209103e-06 */ - .quad 0x3FF000CA8FD9E1A1 /* A01 = +1.000193178099017865534e+00 */ - .quad 0xBF653A014548E686 /* A02 = -2.591135484433962181405e-03 */ - .quad 0xBFD47F9C0844B38F /* A03 = -3.202886658426046806447e-01 */ - .quad 0xBEDA012B1B1A41E2 /* A00 = -6.199971197454598722328e-06 */ - .quad 0x3FF000EBE868FDF4 /* A01 = +1.000224979259539459520e+00 */ - .quad 0xBF67CA9427E0A544 /* A02 = -2.904214255086275467410e-03 */ - .quad 0xBFD46EC6812ADB37 /* A03 = -3.192611943626845749655e-01 */ - .quad 0xBEDF3EAC5BF12194 /* A00 = -7.449344990702664567927e-06 */ - .quad 0x3FF001112A520784 /* A01 = +1.000260510744255704196e+00 */ - .quad 0xBF6A8D01ABDA4DC4 /* A02 = -3.241065277345108255891e-03 */ - .quad 0xBFD45D55759FFA4A /* A03 = -3.181966446572103146551e-01 */ - .quad 0xBEE2A541BC274267 /* A00 = -8.890883582164319970972e-06 */ - .quad 0x3FF0013A9E5961F2 /* A01 = +1.000300043631906721231e+00 */ - .quad 0xBF6D82ECD080C540 /* A02 = -3.602468994380686462264e-03 */ - .quad 0xBFD44B4A0779C0AD /* A03 = -3.170952866557950611259e-01 */ - .quad 0xBEE61D97609A27F4 /* A00 = -1.054553560499505625520e-05 */ - .quad 0x3FF001688F56A3AF /* A01 = +1.000343856731187974773e+00 */ - .quad 0xBF7056F8EFB683EC /* A02 = -3.989193351487490407647e-03 */ - .quad 0xBFD438A5620F0F74 /* A03 = -3.159573991399533543500e-01 */ - .quad 0xBEEA145429EDD370 /* A00 = -1.243563138839952927732e-05 */ - .quad 0x3FF0019B4A242A67 /* A01 = +1.000392236341804297339e+00 */ - .quad 0xBF7207D31CA78D9B /* A02 = -4.401993423445739288258e-03 */ - .quad 0xBFD42568BA16E7CD /* A03 = -3.147832696228050619602e-01 */ - .quad 0xBEEE96370D52680F /* A00 = -1.458491207477835326165e-05 */ - .quad 0x3FF001D31D8E4115 /* A01 = +1.000445476009251821736e+00 */ - .quad 0xBF73D4CC11EDC094 /* A02 = -4.841611050196221316400e-03 */ - .quad 0xBFD411954D8664E7 /* A03 = -3.135731942252974469021e-01 */ - .quad 0xBEF338C046215EF8 /* A00 = -1.833122622260562810219e-05 */ - .quad 0x3FF00230C32C2EC1 /* A01 = +1.000534784691737621998e+00 */ - .quad 0xBF76BD019BCC5DAF /* A02 = -5.551344188254799492943e-03 */ - .quad 0xBFD3F2C7156DC21E /* A03 = -3.116929730668135389848e-01 */ - .quad 0xBEF9B15EAE411EAE /* A00 = -2.450261207822986676092e-05 */ - .quad 0x3FF002C2DF057A4D /* A01 = +1.000674124886830940184e+00 */ - .quad 0xBF7B08CCD9AC1E30 /* A02 = -6.600189396301511801646e-03 */ - .quad 0xBFD3C7A7A114FED8 /* A03 = -3.090609620157755976777e-01 */ - .quad 0xBF00E36483C373B3 /* A00 = -3.221178528332122595812e-05 */ - .quad 0x3FF0036F419480D7 /* A01 = +1.000838524028997644777e+00 */ - .quad 0xBF7FD255D1777007 /* A02 = -7.768950679260206403087e-03 */ - .quad 0xBFD39A453911D6CE /* A03 = -3.062909180947429588215e-01 */ - .quad 0xBF05DFA04DD12059 /* A00 = -4.172046622180685472624e-05 */ - .quad 0x3FF00438B2A03D8D /* A01 = +1.001030633695197069599e+00 */ - .quad 0xBF828F8DBB4A9D10 /* A02 = -9.062869337255224921890e-03 */ - .quad 0xBFD36AAB704697D9 /* A03 = -3.033856007044711255993e-01 */ - .quad 0xBF0BF3E0C647DEFB /* A00 = -5.331544597092331081714e-05 */ - .quad 0x3FF005221063D36D /* A01 = +1.001253189109060359741e+00 */ - .quad 0xBF857A2CB3C96102 /* A02 = -1.048693584122917590862e-02 */ - .quad 0xBFD338E65BBB4FEC /* A03 = -3.003478904549854444639e-01 */ - .quad 0xBF11A506ED7C9D31 /* A00 = -6.730894835681591541979e-05 */ - .quad 0x3FF0062E4D0EA92A /* A01 = +1.001508999829250345925e+00 */ - .quad 0xBF88AB82C2761AF3 /* A02 = -1.204588085125866091241e-02 */ - .quad 0xBFD305028D6BD206 /* A03 = -2.971807843271395688234e-01 */ - .quad 0xBF1607C0922D9BF1 /* A00 = -8.403885708006799337092e-05 */ - .quad 0x3FF007606C341961 /* A01 = +1.001800940198869449560e+00 */ - .quad 0xBF8C25E6DA487BCF /* A02 = -1.374416688582682892494e-02 */ - .quad 0xBFD2CF0D0EE8F7B5 /* A03 = -2.938873906713255768075e-01 */ - .quad 0xBF1B3A8480A0A16D /* A00 = -1.038688061788578038307e-04 */ - .quad 0x3FF008BB802D02D6 /* A01 = +1.002131939589323561535e+00 */ - .quad 0xBF8FEB8AE99FD100 /* A02 = -1.558598065819483124983e-02 */ - .quad 0xBFD297135BD0911B /* A03 = -2.904709240558688843059e-01 */ - .quad 0xBF20ABB9BDB75C65 /* A00 = -1.271881327357976163798e-04 */ - .quad 0x3FF00A42A76D8CD1 /* A01 = +1.002504972472525901495e+00 */ - .quad 0xBF91FF3D752BB9E6 /* A02 = -1.757522609380570560722e-02 */ - .quad 0xBFD25D235C1F88B4 /* A03 = -2.869346999779154305799e-01 */ - .quad 0xBF243D3254425461 /* A00 = -1.544116913733432829448e-04 */ - .quad 0x3FF00BF909D1795E /* A01 = +1.002923048355647051011e+00 */ - .quad 0xBF94304E04D44942 /* A02 = -1.971551804042204897316e-02 */ - .quad 0xBFD2214B5E61CFA6 /* A03 = -2.832821294498394371075e-01 */ - .quad 0xBF286070011B61CE /* A00 = -1.859795307186510085994e-04 */ - .quad 0x3FF00DE1D5E1627E /* A01 = +1.003389201612804537689e+00 */ - .quad 0xBF9689D5F4163F59 /* A02 = -2.201017668045266231780e-02 */ - .quad 0xBFD1E39A11C3B42C /* A03 = -2.795167134743816728104e-01 */ - .quad 0xBF2D250B366A79E8 /* A00 = -2.223564326486314902259e-04 */ - .quad 0x3FF010003E134001 /* A01 = +1.003906481248123094829e+00 */ - .quad 0xBF990C9FF91F6F81 /* A02 = -2.446222265267250853271e-02 */ - .quad 0xBFD1A41E80084CDC /* A03 = -2.756420374218586655246e-01 */ - .quad 0xBF314DB5DDC2A30E /* A00 = -2.640313157465248123865e-04 */ - .quad 0x3FF012577608921B /* A01 = +1.004477940624503018441e+00 */ - .quad 0xBF9BB9626875B0C9 /* A02 = -2.707437288829409385849e-02 */ - .quad 0xBFD162E80768A9D0 /* A03 = -2.716617653228725615122e-01 */ - .quad 0xBF346A6133808864 /* A00 = -3.115165050094957730625e-04 */ - .quad 0x3FF014EAAFCC88A3 /* A01 = +1.005106627192198898157e+00 */ - .quad 0xBF9E90BEF9BF7419 /* A02 = -2.984903716411588595059e-02 */ - .quad 0xBFD12006545F7FAD /* A03 = -2.675796340899932457269e-01 */ - .quad 0xBF37F180DC3848EA /* A00 = -3.653468704395550778821e-04 */ - .quad 0x3FF017BD19147861 /* A01 = +1.005795572250939295955e+00 */ - .quad 0xBFA0C9A14C702E07 /* A02 = -3.278831537326359207851e-02 */ - .quad 0xBFD0DB895B650092 /* A03 = -2.633994476818851682154e-01 */ - .quad 0xBF3BEC6AAC6D7635 /* A00 = -4.260788377246944457107e-04 */ - .quad 0x3FF01AD1D884E719 /* A01 = +1.006547780778822565040e+00 */ - .quad 0xBFA260B2A1B1434A /* A02 = -3.589399551186163439542e-02 */ - .quad 0xBFD09581529E93D6 /* A03 = -2.591250712233067465817e-01 */ - .quad 0xBF4164E26167882B /* A00 = -5.308251737086202562063e-04 */ - .quad 0x3FF01FEF14B62B81 /* A01 = +1.007796364693348545316e+00 */ - .quad 0xBFA4EB014538AA42 /* A02 = -4.085544557559163403315e-02 */ - .quad 0xBFD029D36FEAF41F /* A03 = -2.525528519580024222613e-01 */ - .quad 0xBF46F6FFF4E53DC8 /* A00 = -7.008313930700277652464e-04 */ - .quad 0x3FF027CBB51CBBA0 /* A01 = +1.009715754956893363214e+00 */ - .quad 0xBFA89DEC9FEC112E /* A02 = -4.807986690687680864098e-02 */ - .quad 0xBFCF2A99464D0DB4 /* A03 = -2.434875100390009317053e-01 */ - .quad 0xBF4DCC9C4F66A4D9 /* A00 = -9.094012482836712945103e-04 */ - .quad 0x3FF030E7CFCCD583 /* A01 = +1.011939822882909068014e+00 */ - .quad 0xBFACAA3B95814081 /* A02 = -5.598627281199331645611e-02 */ - .quad 0xBFCDF78F156BE7CF /* A03 = -2.341173987004467604844e-01 */ - .quad 0xBF5308ED74E5C7A6 /* A00 = -1.161796466103906435435e-03 */ - .quad 0x3FF03B5986412ECB /* A01 = +1.014489674026594512313e+00 */ - .quad 0xBFB087EBA88DCC3F /* A02 = -6.457398285947223148806e-02 */ - .quad 0xBFCCBB9BD134862F /* A03 = -2.244753619680052991736e-01 */ - .quad 0xBF57FA23C00DF4B5 /* A00 = -1.463446533505758208674e-03 */ - .quad 0x3FF0473558A1BCC0 /* A01 = +1.017384859292903342975e+00 */ - .quad 0xBFB2E702BC6360EF /* A02 = -7.383744334527241048871e-02 */ - .quad 0xBFCB77D546379288 /* A03 = -2.145945160729250122955e-01 */ - .quad 0xBF5DD12971557F71 /* A00 = -1.819887610814388068450e-03 */ - .quad 0x3FF0548DDF5000A8 /* A01 = +1.020643112482540360020e+00 */ - .quad 0xBFB571B63DA186E1 /* A02 = -8.376635555898871710045e-02 */ - .quad 0xBFCA2D5202605148 /* A03 = -2.045080672838912594358e-01 */ - .quad 0xBF6252B1AD5D4F17 /* A00 = -2.236697221556737096709e-03 */ - .quad 0x3FF063738A910BF7 /* A01 = +1.024280110622155737232e+00 */ - .quad 0xBFB8270C8E6B601B /* A02 = -9.434584118878357184013e-02 */ - .quad 0xBFC8DD27D950A07E /* A03 = -1.942491351230763441116e-01 */ - .quad 0xBF66470C91730CFC /* A00 = -2.719425723258004842786e-03 */ - .quad 0x3FF073F468FCF331 /* A01 = +1.028309259519300633556e+00 */ - .quad 0xBFBB05C2952191E4 /* A02 = -1.055566419686964629854e-01 */ - .quad 0xBFC7886A770DE2BD /* A03 = -1.838505822486435070662e-01 */ - .quad 0xBF6AD114AC8E98EC /* A00 = -3.273525599485007861467e-03 */ - .quad 0x3FF0861BF53E5226 /* A01 = +1.032741506559554434119e+00 */ - .quad 0xBFBE0C4F9B461507 /* A02 = -1.173753503881763554650e-01 */ - .quad 0xBFC6302A037CDE3A /* A03 = -1.733448521642786954722e-01 */ - .quad 0xBF6FFBDE2A6C2AF8 /* A00 = -3.904279630096648551207e-03 */ - .quad 0x3FF099F2EB8E7DA3 /* A01 = +1.037585182326304034106e+00 */ - .quad 0xBFC09C74D192DDF0 /* A02 = -1.297746680554463516444e-01 */ - .quad 0xBFC4D571D8E3079F /* A03 = -1.627638157861470424859e-01 */ - .quad 0xBF72E8FDC0B952AA /* A00 = -4.616728994353872309042e-03 */ - .quad 0x3FF0AF7F273C9533 /* A01 = +1.042845872181101141152e+00 */ - .quad 0xBFC244C512736F10 /* A02 = -1.427236881344176033792e-01 */ - .quad 0xBFC379474F58B902 /* A03 = -1.521386277613104298645e-01 */ - .quad 0xBF762EABAF17395B /* A00 = -5.415602341101023557701e-03 */ - .quad 0x3FF0C6C3886F63FB /* A01 = +1.048526318502125631582e+00 */ - .quad 0xBFC3FDF9918EA12A /* A02 = -1.561881981590514389957e-01 */ - .quad 0xBFC21CA89ECAB895 /* A03 = -1.414995932913753196036e-01 */ - .quad 0xBF79D387CE5B2BAE /* A00 = -6.305246822828998107258e-03 */ - .quad 0x3FF0DFBFE2346376 /* A01 = +1.054626353847394337748e+00 */ - .quad 0xBFC5C6DA43602620 /* A02 = -1.701309994680721970894e-01 */ - .quad 0xBFC0C08BD8DB6631 /* A03 = -1.308760460731704100557e-01 */ - .quad 0xBF7DDBA8E8DA9060 /* A00 = -7.289562037531366334164e-03 */ - .quad 0x3FF0FA70F0D1B464 /* A01 = +1.061142864894713433443e+00 */ - .quad 0xBFC79E18D92BAA7C /* A02 = -1.845122394946264732241e-01 */ - .quad 0xBFBECBBBF74C2669 /* A03 = -1.202962378266875381749e-01 */ - .quad 0xBF81254E76EA25DA /* A00 = -8.371937755572145950511e-03 */ - .quad 0x3FF116D05835EBD0 /* A01 = +1.068069786618014660462e+00 */ - .quad 0xBFC982539E2ED224 /* A02 = -1.992897531869327609755e-01 */ - .quad 0xBFBC1B043C350159 /* A03 = -1.097872397413132278254e-01 */ - .quad 0xBF8391ACBA863403 /* A00 = -9.555196230190082448686e-03 */ - .quad 0x3FF134D4AA477FE2 /* A01 = +1.075398125794884141015e+00 */ - .quad 0xBFCB7218609FEAFB /* A02 = -2.144194099235717521079e-01 */ - .quad 0xBFB970A16CB88329 /* A03 = -9.937485603633135211599e-02 */ - .quad 0xBF87935088E48E8B /* A00 = -1.151144902957603431692e-02 */ - .quad 0x3FF1649892AD7DD3 /* A01 = +1.087059567413110938716e+00 */ - .quad 0xBFCE6971DDE75409 /* A02 = -2.375929196847723912089e-01 */ - .quad 0xBFB58291E88CB251 /* A03 = -8.402358939628952472223e-02 */ - .quad 0xBF8DB3A62C325325 /* A00 = -1.450280973794233242702e-02 */ - .quad 0x3FF1A9C900C6DEEA /* A01 = +1.103951457056548068891e+00 */ - .quad 0xBFD13DBC65B0E08E /* A02 = -2.693930619311765140012e-01 */ - .quad 0xBFB06696F62696D1 /* A03 = -6.406539449252625362252e-02 */ - .quad 0xBF92583699F2E27A /* A00 = -1.791463198307716858659e-02 */ - .quad 0x3FF1F451B85AA9F0 /* A01 = +1.122148246892376022288e+00 */ - .quad 0xBFD34FD5F8288180 /* A02 = -3.017477916164565954205e-01 */ - .quad 0xBFA6FB692825B683 /* A03 = -4.488686194495718900788e-02 */ - .quad 0xBF9641C26E673D6F /* A00 = -2.173522757385398448959e-02 */ - .quad 0x3FF24364DA5E2B07 /* A01 = +1.141453602790251542487e+00 */ - .quad 0xBFD564A5A5EF5890 /* A02 = -3.342680092295120530821e-01 */ - .quad 0xBF9B43712011A982 /* A03 = -2.662445791467283467968e-02 */ - .quad 0xBF9A901038EC2F39 /* A00 = -2.594018313816024226548e-02 */ - .quad 0x3FF2961356DFFEBA /* A01 = +1.161639537196534011088e+00 */ - .quad 0xBFD775EBB17198C7 /* A02 = -3.665723069046972759644e-01 */ - .quad 0xBF833B1A926CD462 /* A03 = -9.390075295963199591975e-03 */ - .quad 0xBF9F396A6A461B91 /* A00 = -3.049246095317987084727e-02 */ - .quad 0x3FF2EB53BAEF534B /* A01 = +1.182452898229899629357e+00 */ - .quad 0xBFD97DABF8AD8BBD /* A02 = -3.982953957076310058660e-01 */ - .quad 0x3F7B8F6A3E0F8837 /* A03 = +6.728568086119371925713e-03 */ - .quad 0xBFA21878590F8BAA /* A00 = -3.534294211546946951064e-02 */ - .quad 0x3FF34209790236E1 /* A01 = +1.203622315111197105253e+00 */ - .quad 0xBFDB764C0E71BECB /* A02 = -4.290952817018306997277e-01 */ - .quad 0x3F962FE0C03F84C0 /* A03 = +2.166701482190513949888e-02 */ - .quad 0xBFA4B36B9AD27ECC /* A00 = -4.043136849327097492868e-02 */ - .quad 0x3FF3990C5B12FC16 /* A01 = +1.224865298994477935679e+00 */ - .quad 0xBFDD5AABB0D01390 /* A02 = -4.586590983092770912322e-01 */ - .quad 0x3FA21DAF5CA162DB /* A03 = +3.538272863142363083844e-02 */ - .quad 0xBFA7645E4D7BF28B /* A00 = -4.568762489177399105378e-02 */ - .quad 0x3FF3EF2FD51C0D9F /* A01 = +1.245895225962932562069e+00 */ - .quad 0xBFDF26377E1B686E /* A02 = -4.867075664057044503963e-01 */ - .quad 0x3FA8803E756EE812 /* A03 = +4.785342391501513914509e-02 */ - .quad 0xBFAA210925C64413 /* A00 = -5.103329263796054643398e-02 */ - .quad 0x3FF44349F897D8E7 /* A01 = +1.266427966181760345066e+00 */ - .quad 0xBFE06A7B02C6D8E2 /* A02 = -5.129981092675530707226e-01 */ - .quad 0x3FAE3F194734F5D0 /* A03 = +5.907515520309980505687e-02 */ - .quad 0xBFACDE48F8A19BBB /* A00 = -5.638340029764018351832e-02 */ - .quad 0x3FF49439D5466582 /* A01 = +1.286187966447272845727e+00 */ - .quad 0xBFE131C7C1063DDC /* A02 = -5.373266954429101183166e-01 */ - .quad 0x3FB1ADEEC36AD805 /* A03 = +6.906025191241844940482e-02 */ - .quad 0xBFAF905D8F585680 /* A00 = -6.164829611604449866036e-02 */ - .quad 0x3FF4E0ED1FD27F99 /* A01 = +1.304913639360142818546e+00 */ - .quad 0xBFE1E7A859DC1D3D /* A02 = -5.595285182070380836095e-01 */ - .quad 0x3FB3ED018E4642A1 /* A03 = +7.783517573831001679086e-02 */ - .quad 0xBFB11595104160BA /* A00 = -6.673556944713512906198e-02 */ - .quad 0x3FF528650340490B /* A01 = +1.322361958217302513319e+00 */ - .quad 0xBFE28B14B40BC974 /* A02 = -5.794776455425521000109e-01 */ - .quad 0x3FB5DF49F5BAF6D7 /* A03 = +8.543836831355676453281e-02 */ - .quad 0xBFB2513A97344BA4 /* A00 = -7.155195418844911836587e-02 */ - .quad 0x3FF569BA0DB5EE14 /* A01 = +1.338312200124055273420e+00 */ - .quad 0xBFE31B53A8B67B20 /* A02 = -5.970857901737396389308e-01 */ - .quad 0x3FB787F297BB0544 /* A03 = +9.191814617499455275507e-02 */ - .quad 0xBFB37512E848FAFA /* A00 = -7.600515528700305112331e-02 */ - .quad 0x3FF5A41F33B403C8 /* A01 = +1.352568819013173495591e+00 */ - .quad 0xBFE397F6EA9A58A5 /* A02 = -6.123003561103997904880e-01 */ - .quad 0x3FB8EAA9FF25CA06 /* A03 = +9.733068923177520814782e-02 */ - .quad 0xBFB47B3E603AFC5D /* A00 = -8.000554894805263217439e-02 */ - .quad 0x3FF5D6E3EDE40487 /* A01 = +1.364963464031718975988e+00 */ - .quad 0xBFE400D5BCA6D631 /* A02 = -6.251019177058819709103e-01 */ - .quad 0x3FBA0B830ED567FE /* A03 = +1.017381583418739132707e-01 */ - .quad 0xBFB5BBFE8AC90496 /* A00 = -8.489981544791400103200e-02 */ - .quad 0x3FF612BA70107E95 /* A01 = +1.379572332145390989311e+00 */ - .quad 0xBFE477EAF1FA7693 /* A02 = -6.396383978023599814478e-01 */ - .quad 0x3FBB4784B7C08A95 /* A03 = +1.065600346196709652391e-01 */ - .quad 0xBFB6D5D940743939 /* A00 = -8.920057128509463473254e-02 */ - .quad 0x3FF644A8748F70CE /* A01 = +1.391762214006166953340e+00 */ - .quad 0xBFE4D646AB07EA37 /* A02 = -6.511567440459832267763e-01 */ - .quad 0x3FBC354F4E1D5292 /* A03 = +1.101884427747086558913e-01 */ - .quad 0xBFB7223D19E4F3D1 /* A00 = -9.036619074045339206069e-02 */ - .quad 0x3FF6518FEB42B7FA /* A01 = +1.394912642466350494175e+00 */ - .quad 0xBFE4ED86CB87498C /* A02 = -6.539949393430091184598e-01 */ - .quad 0x3FBC6D29F28CCA9B /* A03 = +1.110407082713131127205e-01 */ - .quad 0xBFB6878652FF6312 /* A00 = -8.800544287022329936754e-02 */ - .quad 0x3FF63948C302D040 /* A01 = +1.388985406648330922508e+00 */ - .quad 0xBFE4C4E2E7904E17 /* A02 = -6.490339777687407218920e-01 */ - .quad 0x3FBC127356CA1ABE /* A03 = +1.096565329445224612481e-01 */ - .quad 0xBFB4F5D18B0C91D6 /* A00 = -8.187589306596207427980e-02 */ - .quad 0x3FF5FD27EB7DD0B8 /* A01 = +1.374305648697413673176e+00 */ - .quad 0xBFE464E01A2B2FC6 /* A02 = -6.373138915164353601739e-01 */ - .quad 0x3FBB460547674A30 /* A03 = +1.065371798825160976065e-01 */ - .quad 0xBFB26642FA16A685 /* A00 = -7.187288861919156890412e-02 */ - .quad 0x3FF59F9BEDE1C95A /* A01 = +1.351467065073470141812e+00 */ - .quad 0xBFE3D67920C8FBEA /* A02 = -6.199308052381387046381e-01 */ - .quad 0x3FBA24F6A8D3CBC1 /* A03 = +1.021265184570401413078e-01 */ - .quad 0xBFADB5294794F097 /* A00 = -5.802277563859197656582e-02 */ - .quad 0x3FF523EA7B9CF453 /* A01 = +1.321268542159732772845e+00 */ - .quad 0xBFE322A8B55E35DB /* A02 = -5.979808370918208160205e-01 */ - .quad 0x3FB8C8673B1B3E37 /* A03 = +9.680791085269722928697e-02 */ - .quad 0xBFA4B7D661965C6A /* A00 = -4.046506825687219699450e-02 */ - .quad 0x3FF48DE3E2CE3122 /* A01 = +1.284641157110919085227e+00 */ - .quad 0xBFE251FED1A7F445 /* A02 = -5.725092024655472622285e-01 */ - .quad 0x3FB745699FCABDB9 /* A03 = +9.090290213747821701507e-02 */ - .quad 0xBF93E60456E4EE1D /* A00 = -1.943213253365004902773e-02 */ - .quad 0x3FF3E1A14E628A59 /* A01 = +1.242585474196536532432e+00 */ - .quad 0xBFE16C5AB660E876 /* A02 = -5.444768488007543094653e-01 */ - .quad 0x3FB5AD33AA8C188F /* A03 = +8.467410005332197397987e-02 */ - .quad 0x3F738C17C47C7961 /* A00 = +4.772274820224659853951e-03 */ - .quad 0x3FF3234DDE3BD146 /* A01 = +1.196119182682268355933e+00 */ - .quad 0xBFE078C0D77A9D3B /* A02 = -5.147403915952176722826e-01 */ - .quad 0x3FB40D74B3E276B8 /* A03 = +7.833032027925923568290e-02 */ - .quad 0x3FA0474BECC689C7 /* A00 = +3.179394975019849550746e-02 */ - .quad 0x3FF256FB4FA7D18A /* A01 = +1.146235762743432307076e+00 */ - .quad 0xBFDEFA8E3FB285E2 /* A02 = -4.840427038235174395098e-01 */ - .quad 0x3FB270C007493D59 /* A03 = +7.203293016322244446403e-02 */ - .quad 0x3FAF5BD51E479BDC /* A00 = +6.124750132203590768931e-02 */ - .quad 0x3FF18081D0B53BC5 /* A01 = +1.093873801484492647162e+00 */ - .quad 0xBFDCFE2439BD0C03 /* A02 = -4.530115665294831006626e-01 */ - .quad 0x3FB0DEFE5A45AFDD /* A03 = +6.590261176978580437424e-02 */ - .quad 0x3FB7BD5D2806EA26 /* A00 = +9.273321368429118805032e-02 */ - .quad 0x3FF0A369E35B4440 /* A01 = +1.039895904647224256223e+00 */ - .quad 0xBFDB04BC5C9951E7 /* A02 = -4.221640495573226181669e-01 */ - .quad 0x3FAEBBBAA9D6DEEF /* A03 = +6.002600978120919278380e-02 */ - .quad 0x3FC01BE411098DBC /* A00 = +1.258511622610124502941e-01 */ - .quad 0x3FEF85BDABC031C1 /* A01 = +9.850757936961188621083e-01 */ - .quad 0xBFD91521375097C2 /* A02 = -3.919146576102968682065e-01 */ - .quad 0x3FABE26F0086D982 /* A03 = +5.446192628317005068883e-02 */ - .quad 0x3FC481D7FF5776B9 /* A00 = +1.602125164781023347604e-01 */ - .quad 0x3FEDC3506C1E7218 /* A01 = +9.300920592973538347792e-01 */ - .quad 0xBFD7349A88DA7D4F /* A02 = -3.625856720409119104964e-01 */ - .quad 0x3FA936E2DFF8E2AE /* A03 = +4.924687370334389358018e-02 */ - .quad 0x3FC90471F96FA27A /* A00 = +1.954481571149420671141e-01 */ - .quad 0x3FEC0451601987A2 /* A01 = +8.755270840595026360376e-01 */ - .quad 0xBFD5671CD4B898DC /* A02 = -3.344184949259110251063e-01 */ - .quad 0x3FA6BB9594603B67 /* A03 = +4.439990459660841243261e-02 */ - .quad 0x3FCFD8ADB9ED944C /* A00 = +2.488000066615846384011e-01 */ - .quad 0x3FE978C073F6809A /* A01 = +7.959902062321078108909e-01 */ - .quad 0xBFD2DF7E00BCD5A9 /* A02 = -2.948908812716931060471e-01 */ - .quad 0x3FA3614033D490B2 /* A03 = +3.785133965200894456959e-02 */ - .quad 0x3FD4846A12AFE5A0 /* A00 = +3.205819303981005674586e-01 */ - .quad 0x3FE63A1147D40472 /* A01 = +6.945883181471244061100e-01 */ - .quad 0xBFCFA2268AD34450 /* A02 = -2.471359422548027318101e-01 */ - .quad 0x3F9F150201D9FFE0 /* A03 = +3.035357605267552383310e-02 */ - .quad 0x3FD9018641F82BEB /* A00 = +3.907180446846598154131e-01 */ - .quad 0x3FE33B7C220FFBDC /* A01 = +6.010113396913498995389e-01 */ - .quad 0xBFCA4E4187E29C86 /* A02 = -2.055131829740483584423e-01 */ - .quad 0x3F98C30CED19F8F4 /* A03 = +2.418155858185229434287e-02 */ - .quad 0x3FDD4B8255BEB078 /* A00 = +4.577337109901757905561e-01 */ - .quad 0x3FE0858B19D3A49B /* A01 = +5.163016800335243905451e-01 */ - .quad 0xBFC5BC929EACE564 /* A02 = -1.698172831327539045176e-01 */ - .quad 0x3F93A083CE57DE2B /* A03 = +1.916700312537337677621e-02 */ - .quad 0x3FE0A8E5E039295C /* A00 = +5.206174258576470315063e-01 */ - .quad 0x3FDC35E1234583FE /* A01 = +4.407885403107342225937e-01 */ - .quad 0xBFC1DE034E31AEB9 /* A02 = -1.395877963835710222629e-01 */ - .quad 0x3F8EFDEBB3471BDC /* A03 = +1.513275280821162888101e-02 */ - .quad 0x3FE2851B603CB2A5 /* A00 = +5.787484054213406503564e-01 */ - .quad 0x3FD7F4A44ABBB286 /* A01 = +3.743067483726821853551e-01 */ - .quad 0xBFBD3EEB67087DE7 /* A02 = -1.142413260026767657385e-01 */ - .quad 0x3F8864F38329E8BD /* A03 = +1.191129917173260922836e-02 */ - .quad 0x3FE437DBE3C34AC1 /* A00 = +6.318187187665317283702e-01 */ - .quad 0x3FD43F6F789441B5 /* A01 = +3.163717916040938438194e-01 */ - .quad 0xBFB7D92E7901B9A4 /* A02 = -9.315767721429907277653e-02 */ - .quad 0x3F8327ED342308E1 /* A03 = +9.353497651663324544136e-03 */ - .quad 0x3FE5C0977766D55C /* A00 = +6.797597248138731451661e-01 */ - .quad 0x3FD10B42A764D8F9 /* A01 = +2.663122782427219115142e-01 */ - .quad 0xBFB3633351D3D70F /* A02 = -7.573242900602060456716e-02 */ - .quad 0x3F7E079E30FF899C /* A03 = +7.331483779099558922843e-03 */ - .quad 0x3FE7202CE08A88C4 /* A00 = +7.226776490754436288455e-01 */ - .quad 0x3FCC973EB5662B01 /* A01 = +2.233656297433626314319e-01 */ - .quad 0xBFAF70A455F9920B /* A02 = -6.140626477716545211782e-02 */ - .quad 0x3F77812411CE99B6 /* A03 = +5.738392731393584730859e-03 */ - .quad 0x3FE85879424095B1 /* A00 = +7.608000082006382003286e-01 */ - .quad 0x3FC7E73BD1674D84 /* A01 = +1.867441914060742336190e-01 */ - .quad 0xBFA96F84E4BF333B /* A02 = -4.967894832916504993525e-02 */ - .quad 0x3F72606DDCA6E117 /* A03 = +4.486493251924870105662e-03 */ - .quad 0x3FE96BFE4957F4DD /* A00 = +7.944327766887472330737e-01 */ - .quad 0x3FC3ED4780D25478 /* A01 = +1.556786898624158421711e-01 */ - .quad 0xBFA489C5F9A56B58 /* A02 = -4.011362717093075458408e-02 */ - .quad 0x3F6CB5DC17E9AD2A /* A03 = +3.504686231556104931972e-03 */ - .quad 0x3FEA5D9CB2F41234 /* A00 = +8.239272589858672724006e-01 */ - .quad 0x3FC091A758374DCF /* A01 = +1.294449978582705440555e-01 */ - .quad 0xBFA08E436D4B5CE0 /* A02 = -3.233538350257858517978e-02 */ - .quad 0x3F666997AD53E6B7 /* A03 = +2.735897297154145629133e-03 */ - .quad 0x3FEB3060342CB850 /* A00 = +8.496552485501158713532e-01 */ - .quad 0x3FBB7D30BBC7DC1B /* A01 = +1.073790033768634993860e-01 */ - .quad 0xBF9AA6BA3443D9E3 /* A02 = -2.602663940430173170060e-02 */ - .quad 0x3F617CA764B7850B /* A03 = +2.134634914668814050648e-03 */ - .quad 0x3FEBE759A6A0C7B8 /* A00 = +8.719909910635044170135e-01 */ - .quad 0x3FB6C10DE6A703FF /* A01 = +8.888327485239243264115e-02 */ - .quad 0xBF956C566D8BE1F6 /* A02 = -2.092108768099084498138e-02 */ - .quad 0x3F5B46D1A4A59CF8 /* A03 = +1.664833764687232917079e-03 */ - .quad 0x3FEC858494887A04 /* A00 = +8.912985707318630268503e-01 */ - .quad 0x3FB2CC31F543394D /* A01 = +7.342827070099140762682e-02 */ - .quad 0xBF9133477FF69137 /* A02 = -1.679717749142747504343e-02 */ - .quad 0x3F5544482FBB4DA5 /* A03 = +1.298017973501022466823e-03 */ - .quad 0x3FED0DB59D0E32E9 /* A00 = +9.079235141267335551518e-01 */ - .quad 0x3FAF006BAFFC6EF4 /* A01 = +6.055008433597022787787e-02 */ - .quad 0xBF8B97146FA2B97A /* A02 = -1.347175565419144252499e-02 */ - .quad 0x3F5093B01F4CDC69 /* A03 = +1.011774057770665211434e-03 */ - .quad 0x3FEDB487C3EC457C /* A00 = +9.282873942012623835751e-01 */ - .quad 0x3FA7390C09D0BD1D /* A01 = +4.535710925881118044112e-02 */ - .quad 0xBF83D9F7C3181106 /* A02 = -9.693084374710735778846e-03 */ - .quad 0x3F46E34A0A3C0E64 /* A03 = +6.984817050299072134500e-04 */ - .quad 0x3FEE5FFCB4E6EB00 /* A00 = +9.492171796076434020506e-01 */ - .quad 0x3F9F4913ED00AADF /* A01 = +3.055220731782070861526e-02 */ - .quad 0xBF79670BD0E59B5C /* A02 = -6.201788097633133961528e-03 */ - .quad 0x3F3BC998EBCAF96D /* A03 = +4.240034429975534616304e-04 */ - .quad 0x3FEEDBA41E9542FE /* A00 = +9.643116566968215064293e-01 */ - .quad 0x3F94F5DD18D9C24D /* A01 = +2.046914543319848858727e-02 */ - .quad 0xBF7034896AA122B9 /* A02 = -3.956352980886528904192e-03 */ - .quad 0x3F30DCCB47810B39 /* A03 = +2.573009765038273091199e-04 */ - .quad 0x3FEF33F2882520ED /* A00 = +9.750912341196716903724e-01 */ - .quad 0x3F8BF37F2CF553FF /* A01 = +1.364802699996836392315e-02 */ - .quad 0xBF649F6F05A69619 /* A02 = -2.517430152880317534986e-03 */ - .quad 0x3F247623C950AAC9 /* A03 = +1.561087307505231250044e-04 */ - .quad 0x3FEF727757751741 /* A00 = +9.827229221489021115943e-01 */ - .quad 0x3F828E67912C4400 /* A01 = +9.060677640748693306705e-03 */ - .quad 0xBF5A2F51A806CC2C /* A02 = -1.598195784123355826789e-03 */ - .quad 0x3F18D35D7687E613 /* A03 = +9.470231965016282719549e-05 */ - .quad 0x3FEF9E6325C5942A /* A00 = +9.880843866091073568469e-01 */ - .quad 0x3F788AB117618F76 /* A01 = +5.991641772286606867914e-03 */ - .quad 0xBF5096EAB0B1EA89 /* A02 = -1.012543859160305046233e-03 */ - .quad 0x3F0E1E50EC4435AB /* A03 = +5.744633156910412119652e-05 */ - .quad 0x3FEFBD0784049369 /* A00 = +9.918248728250605994461e-01 */ - .quad 0x3F702BBD8294035F /* A01 = +3.947963975634432264028e-03 */ - .quad 0xBF44FB55E0F00593 /* A02 = -6.403130845457509273330e-04 */ - .quad 0x3F0244DCD723230A /* A03 = +3.484534217219031730379e-05 */ - .quad 0x3FEFD245E2366A43 /* A00 = +9.944180887426415926811e-01 */ - .quad 0x3F653D82EC088433 /* A01 = +2.592807490387838333795e-03 */ - .quad 0xBF3A7DF75E013CB8 /* A02 = -4.042366908878036561859e-04 */ - .quad 0x3EF6298E69F991CD /* A03 = +2.113564425911141559972e-05 */ - .quad 0x3FEFE0EAA508BC69 /* A00 = +9.962056372950317539861e-01 */ - .quad 0x3F5BD0771AF3FDDA /* A01 = +1.697651208644282514598e-03 */ - .quad 0xBF30B2E1254DE571 /* A02 = -2.548026725928887099328e-04 */ - .quad 0x3EEAE28B70EC0256 /* A03 = +1.281973848454955042307e-05 */ - .quad 0x3FEFEAF5303D7F96 /* A00 = +9.974313680831865536192e-01 */ - .quad 0x3F5229111365657E /* A01 = +1.108423877289460134782e-03 */ - .quad 0xBF250572D04DFE66 /* A02 = -1.603796628408704519168e-04 */ - .quad 0x3EE04E89BB57C981 /* A03 = +7.775682983689149966743e-06 */ - .quad 0x3FEFF1CF52F1CF44 /* A00 = +9.982678051005469122003e-01 */ - .quad 0x3F47A71316147CEB /* A01 = +7.218211359577819110842e-04 */ - .quad 0xBF1A6D7604055719 /* A02 = -1.008132248946049582547e-04 */ - .quad 0x3ED3C8047586A85C /* A03 = +4.716233739913014633626e-06 */ - .quad 0x3FEFF6770369EF69 /* A00 = +9.988360468555416149528e-01 */ - .quad 0x3F3EBB261180FBF0 /* A01 = +4.689186039321105101130e-04 */ - .quad 0xBF1097754FE19D7F /* A02 = -6.329206004950480057066e-05 */ - .quad 0x3EC7FEFF83BCA0A7 /* A03 = +2.860556404988488738366e-06 */ - .quad 0x3FEFF99D42371AC4 /* A00 = +9.992204945818561334647e-01 */ - .quad 0x3F33EB2AEC271F59 /* A01 = +3.039340773764907474054e-04 */ - .quad 0xBF04CF18E0FC0D79 /* A02 = -3.968996690952969588805e-05 */ - .quad 0x3EBD1BDBD6019BE9 /* A03 = +1.735021065507727833886e-06 */ - .quad 0x3FEFFBBCA32B0D91 /* A00 = +9.994795977476532700123e-01 */ - .quad 0x3F29C41E1615110A /* A01 = +1.965796209707565346710e-04 */ - .quad 0xBEFA11F93D9DCB5A /* A02 = -2.486248909101414873235e-05 */ - .quad 0x3EB1A7CA4546F7A7 /* A03 = +1.052345642723709228769e-06 */ - .quad 0x3FEFFD298B8E8DE2 /* A00 = +9.996535993308806045121e-01 */ - .quad 0x3F20A1C42D523C5B /* A01 = +1.268913244172078754520e-04 */ - .quad 0xBEF0507A364AFAE4 /* A02 = -1.555859070622834605755e-05 */ - .quad 0x3EA56ACA17E7CDF4 /* A03 = +6.382806956848098872313e-07 */ - .quad 0x3FEFFE1DC82BA5A3 /* A00 = +9.997700604991915929176e-01 */ - .quad 0x3F156E73B90F1769 /* A01 = +8.175450626798714452801e-05 */ - .quad 0xBEE4663579D0A09F /* A02 = -9.727122057226747625365e-06 */ - .quad 0x3E99FAF6FEC5D4C1 /* A03 = +3.871371052824002996020e-07 */ - .quad 0x3FEFFEF8D0BB5E81 /* A00 = +9.998745037837154514548e-01 */ - .quad 0x3F06686DA18D39C3 /* A01 = +4.273972098777251447726e-05 */ - .quad 0xBED46BC298073E90 /* A02 = -4.868731025855742842491e-06 */ - .quad 0x3E88E42286B9D0FD /* A03 = +1.854535328530838170114e-07 */ - .quad 0x3FEFFF8DBC68DDC7 /* A00 = +9.999455146670975791423e-01 */ - .quad 0x3EF26B2953A80AF0 /* A01 = +1.756534514108903368909e-05 */ - .quad 0xBEBFC4472D580F83 /* A02 = -1.893443529411295465239e-06 */ - .quad 0x3E72505B4553D19F /* A03 = +6.822456673547912277047e-08 */ - .quad 0x3FEFFFCED1276609 /* A00 = +9.999765477215883935358e-01 */ - .quad 0x3EDE1A94C7CC58F5 /* A01 = +7.177313020153979672606e-06 */ - .quad 0xBEA8A2C988744E57 /* A02 = -7.342066660497443762363e-07 */ - .quad 0x3E5AF30036BBBAF4 /* A03 = +2.509841882843541084885e-08 */ - .quad 0x3FEFFFEAFE70FCFC /* A00 = +9.999899835164849370983e-01 */ - .quad 0x3EC879175E3549F5 /* A01 = +2.917410471128503564412e-06 */ - .quad 0xBE930E36677D1813 /* A02 = -2.839493400307523115929e-07 */ - .quad 0x3E43D4005B42D48F /* A03 = +9.233192745401904898013e-09 */ - .quad 0x3ff0000000000000 - .quad 0x0000000000000000 - .quad 0x0000000000000000 - .quad 0x0000000000000000 - .align 16 - .long 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ - .align 16 - .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ - .align 16 - .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ - .align 16 - .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ - .align 16 - .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ - .align 16 - .long 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ - .align 16 - .type __svml_stanh_data_internal,@object - .size __svml_stanh_data_internal,.-__svml_stanh_data_internal + movups (%rsi, %rax), %xmm2 + movups (%rdi, %rax), %xmm7 + + movaps %xmm2, %xmm3 + + unpckhpd %xmm7, %xmm2 + movlhps %xmm7, %xmm3 + + addpd %xmm13, %xmm2 + + mulpd %xmm5, %xmm6 + addpd %xmm4, %xmm6 + + mulpd %xmm2, %xmm0 + addpd %xmm3, %xmm0 + + cvtpd2ps %xmm0, %xmm2 + cvtpd2ps %xmm6, %xmm0 + + movlhps %xmm2, %xmm0 + andnps %xmm12, %xmm1 + orps %xmm1, %xmm0 + + movmskps %xmm8, %edx + testl %edx, %edx + + /* Go to special inputs processing branch. */ + jne L(SPECIAL_VALUES_BRANCH) + + /* No stack restoration on the fastpath. */ + ret + +L(SPECIAL_VALUES_BRANCH): + subq $48, %rsp + + movups %xmm0, (%rsp) + movups %xmm12, 16(%rsp) + + movq %r12, 32(%rsp) + movq %r13, 40(%rsp) + + /* edx has 1s where there was a special value that needs to be handled + by a tanhf call. */ + movl %edx, %r13d +L(SPECIAL_VALUES_LOOP): + /* use r12 as index for special value that is saved across calls to + tanhf. We technically don't need a callee save register here as offset + to rsp is always [0, 12] so we can restore rsp by realigning to 64. + Essentially the tradeoff is 1 extra save/restore vs 2 extra instructions + in the loop. */ + xorl %r12d, %r12d + bsfl %r13d, %r12d + + /* Scalar math fucntion call to process special input. */ + movss 16(%rsp, %r12, 4), %xmm0 + call tanhf@PLT + /* No good way to avoid the store-forwarding fault this will cause on + return. `lfence` avoids the SF fault but at greater cost as it + serialized stack/callee save restoration. */ + movss %xmm0, (%rsp, %r12, 4) + + leal -1(%r13), %eax + andl %eax, %r13d + jnz L(SPECIAL_VALUES_LOOP) + + /* All results have been written to 16(%rsp). */ + movups (%rsp), %xmm0 + movq 32(%rsp), %r12 + movq 40(%rsp), %r13 + addq $48, %rsp + ret +END(_ZGVbN4v_tanhf_sse4) diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S index 3745db5aa4..90c3ea4cc6 100644 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S +++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanhf8_core_avx2.S @@ -70,775 +70,171 @@ * */ -/* Offsets for data table __svml_stanh_data_internal - */ -#define _dbP 0 -#define _sSignMask 4288 -#define _sAbsMask 4320 -#define _iExpMantMask 4352 -#define _iExpMask 4384 -#define _iMinIdxOfsMask 4416 -#define _iMaxIdxMask 4448 - #include +#include "svml_s_tanhf_rodata.S" .text .section .text.avx2,"ax",@progbits ENTRY(_ZGVdN8v_tanhf_avx2) - pushq %rbp - cfi_def_cfa_offset(16) - movq %rsp, %rbp - cfi_def_cfa(6, 16) - cfi_offset(6, -16) - andq $-32, %rsp - pushq %r12 - subq $120, %rsp - lea _dbP+16+__svml_stanh_data_internal(%rip), %r10 - vmovaps %ymm0, %ymm12 - -/* Here huge arguments, INF and NaNs are filtered out to callout. */ - vpand _iExpMantMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm14 + /* Here huge arguments, INF and NaNs are filtered out to callout. */ + vpand TANHF_DATA(_iExpMantMask)(%rip), %ymm0, %ymm4 + vpsubd TANHF_DATA(_iMinIdxOfsMask)(%rip), %ymm4, %ymm2 -/* - * small table specific variables * - * Constant loading - */ - vmovups _iMaxIdxMask+__svml_stanh_data_internal(%rip), %ymm8 - vpsubd _iMinIdxOfsMask+__svml_stanh_data_internal(%rip), %ymm14, %ymm9 - -/* if VMIN, VMAX is defined for I type */ - vxorps %ymm15, %ymm15, %ymm15 - vpcmpgtd %ymm15, %ymm9, %ymm0 - vpand %ymm0, %ymm9, %ymm7 - vpcmpgtd %ymm8, %ymm9, %ymm6 - vblendvps %ymm6, %ymm8, %ymm7, %ymm3 - vpsrld $14, %ymm3, %ymm1 - vpcmpgtd _iExpMask+__svml_stanh_data_internal(%rip), %ymm14, %ymm13 - vmovmskps %ymm13, %r11d - vandps _sAbsMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm10 - vandps _sSignMask+__svml_stanh_data_internal(%rip), %ymm12, %ymm11 - vextractf128 $1, %ymm1, %xmm2 - vmovd %xmm1, %r9d - vmovd %xmm2, %ecx - vpextrd $1, %xmm2, %edx - vpextrd $1, %xmm1, %r8d - movslq %r9d, %r9 - movslq %edx, %rdx - movslq %r8d, %r8 - vpextrd $2, %xmm1, %edi - movslq %ecx, %rcx - /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -8; DW_OP_plus) */ - .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22 - vpextrd $3, %xmm2, %r12d - vpextrd $3, %xmm1, %esi - vpextrd $2, %xmm2, %eax - movslq %edi, %rdi - movslq %r12d, %r12 - movslq %esi, %rsi - movslq %eax, %rax - vmovupd -16(%r9,%r10), %xmm5 - vmovupd -16(%rdx,%r10), %xmm14 - vmovupd -16(%rcx,%r10), %xmm13 - vmovupd (%r9,%r10), %xmm1 - vmovupd (%r8,%r10), %xmm2 - vmovupd -16(%r8,%r10), %xmm4 - vinsertf128 $1, -16(%rdi,%r10), %ymm5, %ymm15 - vinsertf128 $1, -16(%r12,%r10), %ymm14, %ymm3 - vinsertf128 $1, -16(%rax,%r10), %ymm13, %ymm6 - vinsertf128 $1, (%rdi,%r10), %ymm1, %ymm5 - vinsertf128 $1, (%rsi,%r10), %ymm2, %ymm14 - vunpcklpd %ymm3, %ymm6, %ymm8 - vunpckhpd %ymm3, %ymm6, %ymm6 - vunpcklpd %ymm14, %ymm5, %ymm3 - vunpckhpd %ymm14, %ymm5, %ymm2 - vmovupd (%rcx,%r10), %xmm13 - vcvtps2pd %xmm10, %ymm5 - vextractf128 $1, %ymm10, %xmm10 - vfmadd213pd %ymm3, %ymm5, %ymm2 - vinsertf128 $1, -16(%rsi,%r10), %ymm4, %ymm0 - vmovupd (%rdx,%r10), %xmm4 - vunpcklpd %ymm0, %ymm15, %ymm9 - vunpckhpd %ymm0, %ymm15, %ymm7 - vfmadd213pd %ymm7, %ymm5, %ymm2 - vfmadd213pd %ymm9, %ymm5, %ymm2 - vinsertf128 $1, (%r12,%r10), %ymm4, %ymm0 - vcvtps2pd %xmm10, %ymm4 - vinsertf128 $1, (%rax,%r10), %ymm13, %ymm15 - vunpcklpd %ymm0, %ymm15, %ymm1 - vunpckhpd %ymm0, %ymm15, %ymm0 - vfmadd213pd %ymm1, %ymm4, %ymm0 - vcvtpd2ps %ymm2, %xmm1 - vfmadd213pd %ymm6, %ymm4, %ymm0 - vfmadd213pd %ymm8, %ymm4, %ymm0 - vcvtpd2ps %ymm0, %xmm0 - vinsertf128 $1, %xmm0, %ymm1, %ymm2 - vorps %ymm11, %ymm2, %ymm0 - testl %r11d, %r11d - -/* Go to special inputs processing branch */ - jne L(SPECIAL_VALUES_BRANCH) - # LOE rbx r13 r14 r15 r11d ymm0 ymm12 - -/* Restore registers - * and exit the function - */ + /* Selection of arguments between [0, 0x04280000] into ymm2. */ + vpxor %ymm3, %ymm3, %ymm3 + vpmaxsd %ymm3, %ymm2, %ymm2 + vpminsd TANHF_DATA(_iMaxIdxMask)(%rip), %ymm2, %ymm2 -L(EXIT): - addq $120, %rsp - cfi_restore(12) - popq %r12 - movq %rbp, %rsp - popq %rbp - cfi_def_cfa(7, 8) - cfi_restore(6) - ret - cfi_def_cfa(6, 16) - cfi_offset(6, -16) - /* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -32; DW_OP_and; DW_OP_const4s: -8; DW_OP_plus) */ - .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22 - -/* Branch to process - * special inputs - */ + vpsrld $14, %ymm2, %ymm1 -L(SPECIAL_VALUES_BRANCH): - vmovups %ymm12, 32(%rsp) - vmovups %ymm0, 64(%rsp) - # LOE rbx r13 r14 r15 r11d ymm0 - - xorl %r12d, %r12d - # LOE rbx r13 r14 r15 r11d r12d - - vzeroupper - 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 %r11d, %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 - */ + /* Store special cases in ymm15. */ + vpcmpgtd TANHF_DATA(_iExpMask)(%rip), %ymm4, %ymm15 -L(RANGEMASK_CHECK): - btl %r12d, %r13d -/* Call scalar math function */ - jc L(SCALAR_MATH_CALL) - # LOE rbx r15 r12d r13d + /* Store base of lookup table in rax. */ + leaq TANHF_DATA(_lookupTable)(%rip), %rax -/* Special inputs - * processing loop - */ + /* We are splitting xmm1 into 8 GPRs. This may be faster to do with + store/load as we can take advantage of store-forwarding. */ + vmovq %xmm1, %r8 + /* We have eliminated all negative values for ymm1 so no need to sign + extend. */ + movl %r8d, %r9d + shrq $32, %r8 -L(SPECIAL_VALUES_LOOP): - incl %r12d - cmpl $8, %r12d - -/* Check bits in range mask */ - jl L(RANGEMASK_CHECK) - # LOE rbx r15 r12d r13d - - 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: 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 r13 r14 r15 ymm0 - -/* Scalar math fucntion call - * to process special input - */ + /* Instead of using cross-lane permutes on ymm vectors, use vpinsertf128 + with memory operand. This helps alleviate bottleneck on p5. */ + vmovdqu 16(%r9, %rax), %xmm5 -L(SCALAR_MATH_CALL): - movl %r12d, %r14d - movss 32(%rsp,%r14,4), %xmm0 - call tanhf@PLT - # LOE rbx r14 r15 r12d r13d xmm0 + vpextrq $1, %xmm1, %rsi + movl %esi, %edi + shrq $32, %rsi - movss %xmm0, 64(%rsp,%r14,4) + vinsertf128 $1, 16(%rdi, %rax), %ymm5, %ymm5 -/* Process special inputs in loop */ - jmp L(SPECIAL_VALUES_LOOP) - # LOE rbx r15 r12d r13d -END(_ZGVdN8v_tanhf_avx2) + vextracti128 $1, %ymm1, %xmm2 + vmovq %xmm2, %rdx + movl %edx, %ecx + shrq $32, %rdx + + vmovdqu (%rcx, %rax), %xmm6 + + vpextrq $1, %xmm2, %r10 + movl %r10d, %r11d + shrq $32, %r10 + + vinsertf128 $1, (%r11, %rax), %ymm6, %ymm6 + + vmovupd 16(%r8, %rax), %xmm1 + vinsertf128 $1, 16(%rsi, %rax), %ymm1, %ymm1 + vmovupd (%rdx, %rax), %xmm3 + vinsertf128 $1, (%r10, %rax), %ymm3, %ymm3 + + vunpcklpd %ymm3, %ymm6, %ymm7 + vunpckhpd %ymm3, %ymm6, %ymm6 + + vunpcklpd %ymm1, %ymm5, %ymm3 + vunpckhpd %ymm1, %ymm5, %ymm1 + + vmovaps TANHF_DATA(_sAbsMask)(%rip), %ymm11 + vandps %ymm11, %ymm0, %ymm4 - .section .rodata, "a" - .align 32 - -#ifdef __svml_stanh_data_internal_typedef -typedef unsigned int VUINT32; -typedef struct -{ - __declspec(align(32)) VUINT32 _dbP[(134*4)][2]; - __declspec(align(32)) VUINT32 _sSignMask[8][1]; - __declspec(align(32)) VUINT32 _sAbsMask[8][1]; - __declspec(align(32)) VUINT32 _iExpMantMask[8][1]; - __declspec(align(32)) VUINT32 _iExpMask[8][1]; - __declspec(align(32)) VUINT32 _iMinIdxOfsMask[8][1]; - __declspec(align(32)) VUINT32 _iMaxIdxMask[8][1]; -} __svml_stanh_data_internal; -#endif -__svml_stanh_data_internal: - /* Pol_000: err=7.93e-09, x in [0.0000000; 0.0312500]. */ - .quad 0x0000000000000000 /* A00 = +0.000000000000000000000e-01 */ - .quad 0x3FF00000022C70EB /* A01 = +1.000000008097283510367e+00 */ - .quad 0xBED00E878CFFA194 /* A02 = -3.828228912518614443549e-06 */ - .quad 0xBFD551766D0607A9 /* A03 = -3.330970825846813476723e-01 */ - .quad 0xBE53D60CE3E4C297 /* A00 = -1.847383956330407336230e-08 */ - .quad 0x3FF000024177CF5C /* A01 = +1.000002151235967140508e+00 */ - .quad 0xBF1758BC94A51A25 /* A02 = -8.906031613262943753568e-05 */ - .quad 0xBFD53EAE67E0D4F0 /* A03 = -3.319507612644221339337e-01 */ - .quad 0xBE5A9E47EF32D6FE /* A00 = -2.479020984039698285657e-08 */ - .quad 0x3FF00002DA983057 /* A01 = +1.000002721676556793895e+00 */ - .quad 0xBF1BD953509E94AA /* A02 = -1.062352277175377670507e-04 */ - .quad 0xBFD53BDB562EEDD5 /* A03 = -3.317783681520414806876e-01 */ - .quad 0xBE6191BBE496D294 /* A00 = -3.272532162914017685901e-08 */ - .quad 0x3FF0000390492017 /* A01 = +1.000003398528866105366e+00 */ - .quad 0xBF20727E814A57CE /* A02 = -1.254825043772153972919e-04 */ - .quad 0xBFD538DE060A6F22 /* A03 = -3.315959033004550748913e-01 */ - .quad 0xBE66DAFA2A893A25 /* A00 = -4.257146219278012568149e-08 */ - .quad 0x3FF0000465E08CD1 /* A01 = +1.000004194219219266770e+00 */ - .quad 0xBF2341C765EF91B6 /* A02 = -1.469188600530365522261e-04 */ - .quad 0xBFD535B6841FAF9E /* A03 = -3.314033785124993469751e-01 */ - .quad 0xBE6D5794E361E964 /* A00 = -5.465394929765249413434e-08 */ - .quad 0x3FF000055EE2A0CB /* A01 = +1.000005121846742950353e+00 */ - .quad 0xBF265E6C77E66C8B /* A02 = -1.706607253709506650304e-04 */ - .quad 0xBFD53264DDCCEDA6 /* A03 = -3.312008062382240103361e-01 */ - .quad 0xBE729C844D374A6E /* A00 = -6.933284462462096107184e-08 */ - .quad 0x3FF000067F019093 /* A01 = +1.000006195180536350264e+00 */ - .quad 0xBF29CC5348D6DCE5 /* A02 = -1.968242326435338705130e-04 */ - .quad 0xBFD52EE92121ED35 /* A03 = -3.309881995734998416658e-01 */ - .quad 0xBE775AEA17EAA872 /* A00 = -8.700465590574974405858e-08 */ - .quad 0x3FF00007CA1D66B8 /* A01 = +1.000007428656699559610e+00 */ - .quad 0xBF2D8F5EB98A2637 /* A02 = -2.255252009216044881395e-04 */ - .quad 0xBFD52B435CDF9128 /* A03 = -3.307655722585587376727e-01 */ - .quad 0xBE7D04DA28C343F0 /* A00 = -1.081040272327705484794e-07 */ - .quad 0x3FF000094443CCF5 /* A01 = +1.000008837375216730337e+00 */ - .quad 0xBF30D5B76C947AE5 /* A02 = -2.568791210978817814332e-04 */ - .quad 0xBFD52773A0776FAD /* A03 = -3.305329386764651045105e-01 */ - .quad 0xBE81DD77A12C51C7 /* A00 = -1.331054169875768625701e-07 */ - .quad 0x3FF0000AF1AFD2DA /* A01 = +1.000010437096696680470e+00 */ - .quad 0xBF331230624C1680 /* A02 = -2.910011410651516805537e-04 */ - .quad 0xBFD52379FC0B61DF /* A03 = -3.302903138515186909352e-01 */ - .quad 0xBE85D04EEEB3C435 /* A00 = -1.625247628488202841012e-07 */ - .quad 0x3FF0000CD6C9B1F2 /* A01 = +1.000012244238970726684e+00 */ - .quad 0xBF357F0742FADDD4 /* A02 = -3.280060509313874068243e-04 */ - .quad 0xBFD51F56806D0E81 /* A03 = -3.300377134475880880338e-01 */ - .quad 0xBE8A6E289B59681B /* A00 = -1.969211333326924655065e-07 */ - .quad 0x3FF0000EF8268F72 /* A01 = +1.000014275873550406715e+00 */ - .quad 0xBF381E277A1B747A /* A02 = -3.680082682942575423093e-04 */ - .quad 0xBFD51B093F1D6FD4 /* A03 = -3.297751537663746734808e-01 */ - .quad 0xBE8FCBC40EE9ABD5 /* A00 = -2.368983653301529373887e-07 */ - .quad 0x3FF000115A883B6C /* A01 = +1.000016549721943981410e+00 */ - .quad 0xBF3AF17AC974B3D9 /* A02 = -4.111218235774406434303e-04 */ - .quad 0xBFD516924A4C549C /* A03 = -3.295026517456081105450e-01 */ - .quad 0xBE92FFBC60A3F956 /* A00 = -2.831066871072026054144e-07 */ - .quad 0x3FF0001402DCED8A /* A01 = +1.000019084151832604590e+00 */ - .quad 0xBF3DFAE9390C4801 /* A02 = -4.574603454311488280083e-04 */ - .quad 0xBFD511F1B4D7DC3A /* A03 = -3.292202249571719585575e-01 */ - .quad 0xBE9690A22F96D5AD /* A00 = -3.362443262393081632612e-07 */ - .quad 0x3FF00016F63EFF5D /* A01 = +1.000021898173108825247e+00 */ - .quad 0xBF409E2C839605BB /* A02 = -5.071370461992499986334e-04 */ - .quad 0xBFD50D27924BEE00 /* A03 = -3.289278916051614487515e-01 */ - .quad 0xBE9AA56C65E72A73 /* A00 = -3.970591019557469835586e-07 */ - .quad 0x3FF0001A39F4A43E /* A01 = +1.000025011433776978009e+00 */ - .quad 0xBF425BD74C3D6667 /* A02 = -5.602647074553602319844e-04 */ - .quad 0xBFD50833F6E1ABA2 /* A03 = -3.286256705238718156536e-01 */ - .quad 0xBE9F4BD4FF1A83B0 /* A00 = -4.663500013744687071912e-07 */ - .quad 0x3FF0001DD36F9EC2 /* A01 = +1.000028444215715683896e+00 */ - .quad 0xBF44376634149405 /* A02 = -6.169556656102642569831e-04 */ - .quad 0xBFD50316F77EDEE5 /* A03 = -3.283135811757190158922e-01 */ - .quad 0xBEA3B625387BB079 /* A00 = -5.874486399249461304297e-07 */ - .quad 0x3FF00023E14CFBA9 /* A01 = +1.000034217911642153709e+00 */ - .quad 0xBF47392F923218D2 /* A02 = -7.087213783883111826306e-04 */ - .quad 0xBFD4FB1FACDEB938 /* A03 = -3.278273761924483942209e-01 */ - .quad 0xBEAA6E24F543500A /* A00 = -7.876828740601738750574e-07 */ - .quad 0x3FF0002D5C6E8412 /* A01 = +1.000043259679163742959e+00 */ - .quad 0xBF4BAF02BD7FDD70 /* A02 = -8.448375110664940040861e-04 */ - .quad 0xBFD4EFEE6527A7DE /* A03 = -3.271442401734229177279e-01 */ - .quad 0xBEB16E3EBE2157D0 /* A00 = -1.038947396133402500647e-06 */ - .quad 0x3FF00038990FEE2F /* A01 = +1.000053975962952312884e+00 */ - .quad 0xBF50569481C574CB /* A02 = -9.972048056490652716971e-04 */ - .quad 0xBFD4E419278DA2B4 /* A03 = -3.264220129263251113372e-01 */ - .quad 0xBEB6A7B6723165D4 /* A00 = -1.350350836279403750524e-06 */ - .quad 0x3FF00045CAB4158E /* A01 = +1.000066558657042303793e+00 */ - .quad 0xBF531D7C9C849108 /* A02 = -1.166698160951775212202e-03 */ - .quad 0xBFD4D7A0BB33B152 /* A03 = -3.256608799117844954552e-01 */ - .quad 0xBEBD0EE2A8654AFD /* A00 = -1.732000471561702711532e-06 */ - .quad 0x3FF00055276F18D6 /* A01 = +1.000081209219890521211e+00 */ - .quad 0xBF562FDBA3FB6C6C /* A02 = -1.354183666925102939860e-03 */ - .quad 0xBFD4CA85F1B93DB2 /* A03 = -3.248610363561638125773e-01 */ - .quad 0xBEC269D4036A207E /* A00 = -2.195047297096822741730e-06 */ - .quad 0x3FF00066E7DA6E4E /* A01 = +1.000098138500919997540e+00 */ - .quad 0xBF5991499FC36B3A /* A02 = -1.560518167983372759405e-03 */ - .quad 0xBFD4BCC9A72283D6 /* A03 = -3.240226871658341556426e-01 */ - .quad 0xBEC7154B6C09CFE1 /* A00 = -2.751729738565190291276e-06 */ - .quad 0x3FF0007B47086B80 /* A01 = +1.000117566559055148900e+00 */ - .quad 0xBF5D455433B4F8F4 /* A02 = -1.786548832412968197680e-03 */ - .quad 0xBFD4AE6CC1BFE145 /* A03 = -3.231460468373550942722e-01 */ - .quad 0xBECCA68CC64A0F8A /* A00 = -3.415415948561670285790e-06 */ - .quad 0x3FF00092827742F7 /* A01 = +1.000139722473418535387e+00 */ - .quad 0xBF60A7BF15A527AF /* A02 = -2.033112728132522705610e-03 */ - .quad 0xBFD49F703214084C /* A03 = -3.222313393636155876010e-01 */ - .quad 0xBED19E68676B241B /* A00 = -4.200644630977303616698e-06 */ - .quad 0x3FF000ACDA037B26 /* A01 = +1.000164844146362863597e+00 */ - .quad 0xBF62D99F836A02F8 /* A02 = -2.301036405072284102280e-03 */ - .quad 0xBFD48FD4F2B91B28 /* A03 = -3.212787981359945810311e-01 */ - .quad 0xBED57CF4B0C7AA54 /* A00 = -5.123164339408145209103e-06 */ - .quad 0x3FF000CA8FD9E1A1 /* A01 = +1.000193178099017865534e+00 */ - .quad 0xBF653A014548E686 /* A02 = -2.591135484433962181405e-03 */ - .quad 0xBFD47F9C0844B38F /* A03 = -3.202886658426046806447e-01 */ - .quad 0xBEDA012B1B1A41E2 /* A00 = -6.199971197454598722328e-06 */ - .quad 0x3FF000EBE868FDF4 /* A01 = +1.000224979259539459520e+00 */ - .quad 0xBF67CA9427E0A544 /* A02 = -2.904214255086275467410e-03 */ - .quad 0xBFD46EC6812ADB37 /* A03 = -3.192611943626845749655e-01 */ - .quad 0xBEDF3EAC5BF12194 /* A00 = -7.449344990702664567927e-06 */ - .quad 0x3FF001112A520784 /* A01 = +1.000260510744255704196e+00 */ - .quad 0xBF6A8D01ABDA4DC4 /* A02 = -3.241065277345108255891e-03 */ - .quad 0xBFD45D55759FFA4A /* A03 = -3.181966446572103146551e-01 */ - .quad 0xBEE2A541BC274267 /* A00 = -8.890883582164319970972e-06 */ - .quad 0x3FF0013A9E5961F2 /* A01 = +1.000300043631906721231e+00 */ - .quad 0xBF6D82ECD080C540 /* A02 = -3.602468994380686462264e-03 */ - .quad 0xBFD44B4A0779C0AD /* A03 = -3.170952866557950611259e-01 */ - .quad 0xBEE61D97609A27F4 /* A00 = -1.054553560499505625520e-05 */ - .quad 0x3FF001688F56A3AF /* A01 = +1.000343856731187974773e+00 */ - .quad 0xBF7056F8EFB683EC /* A02 = -3.989193351487490407647e-03 */ - .quad 0xBFD438A5620F0F74 /* A03 = -3.159573991399533543500e-01 */ - .quad 0xBEEA145429EDD370 /* A00 = -1.243563138839952927732e-05 */ - .quad 0x3FF0019B4A242A67 /* A01 = +1.000392236341804297339e+00 */ - .quad 0xBF7207D31CA78D9B /* A02 = -4.401993423445739288258e-03 */ - .quad 0xBFD42568BA16E7CD /* A03 = -3.147832696228050619602e-01 */ - .quad 0xBEEE96370D52680F /* A00 = -1.458491207477835326165e-05 */ - .quad 0x3FF001D31D8E4115 /* A01 = +1.000445476009251821736e+00 */ - .quad 0xBF73D4CC11EDC094 /* A02 = -4.841611050196221316400e-03 */ - .quad 0xBFD411954D8664E7 /* A03 = -3.135731942252974469021e-01 */ - .quad 0xBEF338C046215EF8 /* A00 = -1.833122622260562810219e-05 */ - .quad 0x3FF00230C32C2EC1 /* A01 = +1.000534784691737621998e+00 */ - .quad 0xBF76BD019BCC5DAF /* A02 = -5.551344188254799492943e-03 */ - .quad 0xBFD3F2C7156DC21E /* A03 = -3.116929730668135389848e-01 */ - .quad 0xBEF9B15EAE411EAE /* A00 = -2.450261207822986676092e-05 */ - .quad 0x3FF002C2DF057A4D /* A01 = +1.000674124886830940184e+00 */ - .quad 0xBF7B08CCD9AC1E30 /* A02 = -6.600189396301511801646e-03 */ - .quad 0xBFD3C7A7A114FED8 /* A03 = -3.090609620157755976777e-01 */ - .quad 0xBF00E36483C373B3 /* A00 = -3.221178528332122595812e-05 */ - .quad 0x3FF0036F419480D7 /* A01 = +1.000838524028997644777e+00 */ - .quad 0xBF7FD255D1777007 /* A02 = -7.768950679260206403087e-03 */ - .quad 0xBFD39A453911D6CE /* A03 = -3.062909180947429588215e-01 */ - .quad 0xBF05DFA04DD12059 /* A00 = -4.172046622180685472624e-05 */ - .quad 0x3FF00438B2A03D8D /* A01 = +1.001030633695197069599e+00 */ - .quad 0xBF828F8DBB4A9D10 /* A02 = -9.062869337255224921890e-03 */ - .quad 0xBFD36AAB704697D9 /* A03 = -3.033856007044711255993e-01 */ - .quad 0xBF0BF3E0C647DEFB /* A00 = -5.331544597092331081714e-05 */ - .quad 0x3FF005221063D36D /* A01 = +1.001253189109060359741e+00 */ - .quad 0xBF857A2CB3C96102 /* A02 = -1.048693584122917590862e-02 */ - .quad 0xBFD338E65BBB4FEC /* A03 = -3.003478904549854444639e-01 */ - .quad 0xBF11A506ED7C9D31 /* A00 = -6.730894835681591541979e-05 */ - .quad 0x3FF0062E4D0EA92A /* A01 = +1.001508999829250345925e+00 */ - .quad 0xBF88AB82C2761AF3 /* A02 = -1.204588085125866091241e-02 */ - .quad 0xBFD305028D6BD206 /* A03 = -2.971807843271395688234e-01 */ - .quad 0xBF1607C0922D9BF1 /* A00 = -8.403885708006799337092e-05 */ - .quad 0x3FF007606C341961 /* A01 = +1.001800940198869449560e+00 */ - .quad 0xBF8C25E6DA487BCF /* A02 = -1.374416688582682892494e-02 */ - .quad 0xBFD2CF0D0EE8F7B5 /* A03 = -2.938873906713255768075e-01 */ - .quad 0xBF1B3A8480A0A16D /* A00 = -1.038688061788578038307e-04 */ - .quad 0x3FF008BB802D02D6 /* A01 = +1.002131939589323561535e+00 */ - .quad 0xBF8FEB8AE99FD100 /* A02 = -1.558598065819483124983e-02 */ - .quad 0xBFD297135BD0911B /* A03 = -2.904709240558688843059e-01 */ - .quad 0xBF20ABB9BDB75C65 /* A00 = -1.271881327357976163798e-04 */ - .quad 0x3FF00A42A76D8CD1 /* A01 = +1.002504972472525901495e+00 */ - .quad 0xBF91FF3D752BB9E6 /* A02 = -1.757522609380570560722e-02 */ - .quad 0xBFD25D235C1F88B4 /* A03 = -2.869346999779154305799e-01 */ - .quad 0xBF243D3254425461 /* A00 = -1.544116913733432829448e-04 */ - .quad 0x3FF00BF909D1795E /* A01 = +1.002923048355647051011e+00 */ - .quad 0xBF94304E04D44942 /* A02 = -1.971551804042204897316e-02 */ - .quad 0xBFD2214B5E61CFA6 /* A03 = -2.832821294498394371075e-01 */ - .quad 0xBF286070011B61CE /* A00 = -1.859795307186510085994e-04 */ - .quad 0x3FF00DE1D5E1627E /* A01 = +1.003389201612804537689e+00 */ - .quad 0xBF9689D5F4163F59 /* A02 = -2.201017668045266231780e-02 */ - .quad 0xBFD1E39A11C3B42C /* A03 = -2.795167134743816728104e-01 */ - .quad 0xBF2D250B366A79E8 /* A00 = -2.223564326486314902259e-04 */ - .quad 0x3FF010003E134001 /* A01 = +1.003906481248123094829e+00 */ - .quad 0xBF990C9FF91F6F81 /* A02 = -2.446222265267250853271e-02 */ - .quad 0xBFD1A41E80084CDC /* A03 = -2.756420374218586655246e-01 */ - .quad 0xBF314DB5DDC2A30E /* A00 = -2.640313157465248123865e-04 */ - .quad 0x3FF012577608921B /* A01 = +1.004477940624503018441e+00 */ - .quad 0xBF9BB9626875B0C9 /* A02 = -2.707437288829409385849e-02 */ - .quad 0xBFD162E80768A9D0 /* A03 = -2.716617653228725615122e-01 */ - .quad 0xBF346A6133808864 /* A00 = -3.115165050094957730625e-04 */ - .quad 0x3FF014EAAFCC88A3 /* A01 = +1.005106627192198898157e+00 */ - .quad 0xBF9E90BEF9BF7419 /* A02 = -2.984903716411588595059e-02 */ - .quad 0xBFD12006545F7FAD /* A03 = -2.675796340899932457269e-01 */ - .quad 0xBF37F180DC3848EA /* A00 = -3.653468704395550778821e-04 */ - .quad 0x3FF017BD19147861 /* A01 = +1.005795572250939295955e+00 */ - .quad 0xBFA0C9A14C702E07 /* A02 = -3.278831537326359207851e-02 */ - .quad 0xBFD0DB895B650092 /* A03 = -2.633994476818851682154e-01 */ - .quad 0xBF3BEC6AAC6D7635 /* A00 = -4.260788377246944457107e-04 */ - .quad 0x3FF01AD1D884E719 /* A01 = +1.006547780778822565040e+00 */ - .quad 0xBFA260B2A1B1434A /* A02 = -3.589399551186163439542e-02 */ - .quad 0xBFD09581529E93D6 /* A03 = -2.591250712233067465817e-01 */ - .quad 0xBF4164E26167882B /* A00 = -5.308251737086202562063e-04 */ - .quad 0x3FF01FEF14B62B81 /* A01 = +1.007796364693348545316e+00 */ - .quad 0xBFA4EB014538AA42 /* A02 = -4.085544557559163403315e-02 */ - .quad 0xBFD029D36FEAF41F /* A03 = -2.525528519580024222613e-01 */ - .quad 0xBF46F6FFF4E53DC8 /* A00 = -7.008313930700277652464e-04 */ - .quad 0x3FF027CBB51CBBA0 /* A01 = +1.009715754956893363214e+00 */ - .quad 0xBFA89DEC9FEC112E /* A02 = -4.807986690687680864098e-02 */ - .quad 0xBFCF2A99464D0DB4 /* A03 = -2.434875100390009317053e-01 */ - .quad 0xBF4DCC9C4F66A4D9 /* A00 = -9.094012482836712945103e-04 */ - .quad 0x3FF030E7CFCCD583 /* A01 = +1.011939822882909068014e+00 */ - .quad 0xBFACAA3B95814081 /* A02 = -5.598627281199331645611e-02 */ - .quad 0xBFCDF78F156BE7CF /* A03 = -2.341173987004467604844e-01 */ - .quad 0xBF5308ED74E5C7A6 /* A00 = -1.161796466103906435435e-03 */ - .quad 0x3FF03B5986412ECB /* A01 = +1.014489674026594512313e+00 */ - .quad 0xBFB087EBA88DCC3F /* A02 = -6.457398285947223148806e-02 */ - .quad 0xBFCCBB9BD134862F /* A03 = -2.244753619680052991736e-01 */ - .quad 0xBF57FA23C00DF4B5 /* A00 = -1.463446533505758208674e-03 */ - .quad 0x3FF0473558A1BCC0 /* A01 = +1.017384859292903342975e+00 */ - .quad 0xBFB2E702BC6360EF /* A02 = -7.383744334527241048871e-02 */ - .quad 0xBFCB77D546379288 /* A03 = -2.145945160729250122955e-01 */ - .quad 0xBF5DD12971557F71 /* A00 = -1.819887610814388068450e-03 */ - .quad 0x3FF0548DDF5000A8 /* A01 = +1.020643112482540360020e+00 */ - .quad 0xBFB571B63DA186E1 /* A02 = -8.376635555898871710045e-02 */ - .quad 0xBFCA2D5202605148 /* A03 = -2.045080672838912594358e-01 */ - .quad 0xBF6252B1AD5D4F17 /* A00 = -2.236697221556737096709e-03 */ - .quad 0x3FF063738A910BF7 /* A01 = +1.024280110622155737232e+00 */ - .quad 0xBFB8270C8E6B601B /* A02 = -9.434584118878357184013e-02 */ - .quad 0xBFC8DD27D950A07E /* A03 = -1.942491351230763441116e-01 */ - .quad 0xBF66470C91730CFC /* A00 = -2.719425723258004842786e-03 */ - .quad 0x3FF073F468FCF331 /* A01 = +1.028309259519300633556e+00 */ - .quad 0xBFBB05C2952191E4 /* A02 = -1.055566419686964629854e-01 */ - .quad 0xBFC7886A770DE2BD /* A03 = -1.838505822486435070662e-01 */ - .quad 0xBF6AD114AC8E98EC /* A00 = -3.273525599485007861467e-03 */ - .quad 0x3FF0861BF53E5226 /* A01 = +1.032741506559554434119e+00 */ - .quad 0xBFBE0C4F9B461507 /* A02 = -1.173753503881763554650e-01 */ - .quad 0xBFC6302A037CDE3A /* A03 = -1.733448521642786954722e-01 */ - .quad 0xBF6FFBDE2A6C2AF8 /* A00 = -3.904279630096648551207e-03 */ - .quad 0x3FF099F2EB8E7DA3 /* A01 = +1.037585182326304034106e+00 */ - .quad 0xBFC09C74D192DDF0 /* A02 = -1.297746680554463516444e-01 */ - .quad 0xBFC4D571D8E3079F /* A03 = -1.627638157861470424859e-01 */ - .quad 0xBF72E8FDC0B952AA /* A00 = -4.616728994353872309042e-03 */ - .quad 0x3FF0AF7F273C9533 /* A01 = +1.042845872181101141152e+00 */ - .quad 0xBFC244C512736F10 /* A02 = -1.427236881344176033792e-01 */ - .quad 0xBFC379474F58B902 /* A03 = -1.521386277613104298645e-01 */ - .quad 0xBF762EABAF17395B /* A00 = -5.415602341101023557701e-03 */ - .quad 0x3FF0C6C3886F63FB /* A01 = +1.048526318502125631582e+00 */ - .quad 0xBFC3FDF9918EA12A /* A02 = -1.561881981590514389957e-01 */ - .quad 0xBFC21CA89ECAB895 /* A03 = -1.414995932913753196036e-01 */ - .quad 0xBF79D387CE5B2BAE /* A00 = -6.305246822828998107258e-03 */ - .quad 0x3FF0DFBFE2346376 /* A01 = +1.054626353847394337748e+00 */ - .quad 0xBFC5C6DA43602620 /* A02 = -1.701309994680721970894e-01 */ - .quad 0xBFC0C08BD8DB6631 /* A03 = -1.308760460731704100557e-01 */ - .quad 0xBF7DDBA8E8DA9060 /* A00 = -7.289562037531366334164e-03 */ - .quad 0x3FF0FA70F0D1B464 /* A01 = +1.061142864894713433443e+00 */ - .quad 0xBFC79E18D92BAA7C /* A02 = -1.845122394946264732241e-01 */ - .quad 0xBFBECBBBF74C2669 /* A03 = -1.202962378266875381749e-01 */ - .quad 0xBF81254E76EA25DA /* A00 = -8.371937755572145950511e-03 */ - .quad 0x3FF116D05835EBD0 /* A01 = +1.068069786618014660462e+00 */ - .quad 0xBFC982539E2ED224 /* A02 = -1.992897531869327609755e-01 */ - .quad 0xBFBC1B043C350159 /* A03 = -1.097872397413132278254e-01 */ - .quad 0xBF8391ACBA863403 /* A00 = -9.555196230190082448686e-03 */ - .quad 0x3FF134D4AA477FE2 /* A01 = +1.075398125794884141015e+00 */ - .quad 0xBFCB7218609FEAFB /* A02 = -2.144194099235717521079e-01 */ - .quad 0xBFB970A16CB88329 /* A03 = -9.937485603633135211599e-02 */ - .quad 0xBF87935088E48E8B /* A00 = -1.151144902957603431692e-02 */ - .quad 0x3FF1649892AD7DD3 /* A01 = +1.087059567413110938716e+00 */ - .quad 0xBFCE6971DDE75409 /* A02 = -2.375929196847723912089e-01 */ - .quad 0xBFB58291E88CB251 /* A03 = -8.402358939628952472223e-02 */ - .quad 0xBF8DB3A62C325325 /* A00 = -1.450280973794233242702e-02 */ - .quad 0x3FF1A9C900C6DEEA /* A01 = +1.103951457056548068891e+00 */ - .quad 0xBFD13DBC65B0E08E /* A02 = -2.693930619311765140012e-01 */ - .quad 0xBFB06696F62696D1 /* A03 = -6.406539449252625362252e-02 */ - .quad 0xBF92583699F2E27A /* A00 = -1.791463198307716858659e-02 */ - .quad 0x3FF1F451B85AA9F0 /* A01 = +1.122148246892376022288e+00 */ - .quad 0xBFD34FD5F8288180 /* A02 = -3.017477916164565954205e-01 */ - .quad 0xBFA6FB692825B683 /* A03 = -4.488686194495718900788e-02 */ - .quad 0xBF9641C26E673D6F /* A00 = -2.173522757385398448959e-02 */ - .quad 0x3FF24364DA5E2B07 /* A01 = +1.141453602790251542487e+00 */ - .quad 0xBFD564A5A5EF5890 /* A02 = -3.342680092295120530821e-01 */ - .quad 0xBF9B43712011A982 /* A03 = -2.662445791467283467968e-02 */ - .quad 0xBF9A901038EC2F39 /* A00 = -2.594018313816024226548e-02 */ - .quad 0x3FF2961356DFFEBA /* A01 = +1.161639537196534011088e+00 */ - .quad 0xBFD775EBB17198C7 /* A02 = -3.665723069046972759644e-01 */ - .quad 0xBF833B1A926CD462 /* A03 = -9.390075295963199591975e-03 */ - .quad 0xBF9F396A6A461B91 /* A00 = -3.049246095317987084727e-02 */ - .quad 0x3FF2EB53BAEF534B /* A01 = +1.182452898229899629357e+00 */ - .quad 0xBFD97DABF8AD8BBD /* A02 = -3.982953957076310058660e-01 */ - .quad 0x3F7B8F6A3E0F8837 /* A03 = +6.728568086119371925713e-03 */ - .quad 0xBFA21878590F8BAA /* A00 = -3.534294211546946951064e-02 */ - .quad 0x3FF34209790236E1 /* A01 = +1.203622315111197105253e+00 */ - .quad 0xBFDB764C0E71BECB /* A02 = -4.290952817018306997277e-01 */ - .quad 0x3F962FE0C03F84C0 /* A03 = +2.166701482190513949888e-02 */ - .quad 0xBFA4B36B9AD27ECC /* A00 = -4.043136849327097492868e-02 */ - .quad 0x3FF3990C5B12FC16 /* A01 = +1.224865298994477935679e+00 */ - .quad 0xBFDD5AABB0D01390 /* A02 = -4.586590983092770912322e-01 */ - .quad 0x3FA21DAF5CA162DB /* A03 = +3.538272863142363083844e-02 */ - .quad 0xBFA7645E4D7BF28B /* A00 = -4.568762489177399105378e-02 */ - .quad 0x3FF3EF2FD51C0D9F /* A01 = +1.245895225962932562069e+00 */ - .quad 0xBFDF26377E1B686E /* A02 = -4.867075664057044503963e-01 */ - .quad 0x3FA8803E756EE812 /* A03 = +4.785342391501513914509e-02 */ - .quad 0xBFAA210925C64413 /* A00 = -5.103329263796054643398e-02 */ - .quad 0x3FF44349F897D8E7 /* A01 = +1.266427966181760345066e+00 */ - .quad 0xBFE06A7B02C6D8E2 /* A02 = -5.129981092675530707226e-01 */ - .quad 0x3FAE3F194734F5D0 /* A03 = +5.907515520309980505687e-02 */ - .quad 0xBFACDE48F8A19BBB /* A00 = -5.638340029764018351832e-02 */ - .quad 0x3FF49439D5466582 /* A01 = +1.286187966447272845727e+00 */ - .quad 0xBFE131C7C1063DDC /* A02 = -5.373266954429101183166e-01 */ - .quad 0x3FB1ADEEC36AD805 /* A03 = +6.906025191241844940482e-02 */ - .quad 0xBFAF905D8F585680 /* A00 = -6.164829611604449866036e-02 */ - .quad 0x3FF4E0ED1FD27F99 /* A01 = +1.304913639360142818546e+00 */ - .quad 0xBFE1E7A859DC1D3D /* A02 = -5.595285182070380836095e-01 */ - .quad 0x3FB3ED018E4642A1 /* A03 = +7.783517573831001679086e-02 */ - .quad 0xBFB11595104160BA /* A00 = -6.673556944713512906198e-02 */ - .quad 0x3FF528650340490B /* A01 = +1.322361958217302513319e+00 */ - .quad 0xBFE28B14B40BC974 /* A02 = -5.794776455425521000109e-01 */ - .quad 0x3FB5DF49F5BAF6D7 /* A03 = +8.543836831355676453281e-02 */ - .quad 0xBFB2513A97344BA4 /* A00 = -7.155195418844911836587e-02 */ - .quad 0x3FF569BA0DB5EE14 /* A01 = +1.338312200124055273420e+00 */ - .quad 0xBFE31B53A8B67B20 /* A02 = -5.970857901737396389308e-01 */ - .quad 0x3FB787F297BB0544 /* A03 = +9.191814617499455275507e-02 */ - .quad 0xBFB37512E848FAFA /* A00 = -7.600515528700305112331e-02 */ - .quad 0x3FF5A41F33B403C8 /* A01 = +1.352568819013173495591e+00 */ - .quad 0xBFE397F6EA9A58A5 /* A02 = -6.123003561103997904880e-01 */ - .quad 0x3FB8EAA9FF25CA06 /* A03 = +9.733068923177520814782e-02 */ - .quad 0xBFB47B3E603AFC5D /* A00 = -8.000554894805263217439e-02 */ - .quad 0x3FF5D6E3EDE40487 /* A01 = +1.364963464031718975988e+00 */ - .quad 0xBFE400D5BCA6D631 /* A02 = -6.251019177058819709103e-01 */ - .quad 0x3FBA0B830ED567FE /* A03 = +1.017381583418739132707e-01 */ - .quad 0xBFB5BBFE8AC90496 /* A00 = -8.489981544791400103200e-02 */ - .quad 0x3FF612BA70107E95 /* A01 = +1.379572332145390989311e+00 */ - .quad 0xBFE477EAF1FA7693 /* A02 = -6.396383978023599814478e-01 */ - .quad 0x3FBB4784B7C08A95 /* A03 = +1.065600346196709652391e-01 */ - .quad 0xBFB6D5D940743939 /* A00 = -8.920057128509463473254e-02 */ - .quad 0x3FF644A8748F70CE /* A01 = +1.391762214006166953340e+00 */ - .quad 0xBFE4D646AB07EA37 /* A02 = -6.511567440459832267763e-01 */ - .quad 0x3FBC354F4E1D5292 /* A03 = +1.101884427747086558913e-01 */ - .quad 0xBFB7223D19E4F3D1 /* A00 = -9.036619074045339206069e-02 */ - .quad 0x3FF6518FEB42B7FA /* A01 = +1.394912642466350494175e+00 */ - .quad 0xBFE4ED86CB87498C /* A02 = -6.539949393430091184598e-01 */ - .quad 0x3FBC6D29F28CCA9B /* A03 = +1.110407082713131127205e-01 */ - .quad 0xBFB6878652FF6312 /* A00 = -8.800544287022329936754e-02 */ - .quad 0x3FF63948C302D040 /* A01 = +1.388985406648330922508e+00 */ - .quad 0xBFE4C4E2E7904E17 /* A02 = -6.490339777687407218920e-01 */ - .quad 0x3FBC127356CA1ABE /* A03 = +1.096565329445224612481e-01 */ - .quad 0xBFB4F5D18B0C91D6 /* A00 = -8.187589306596207427980e-02 */ - .quad 0x3FF5FD27EB7DD0B8 /* A01 = +1.374305648697413673176e+00 */ - .quad 0xBFE464E01A2B2FC6 /* A02 = -6.373138915164353601739e-01 */ - .quad 0x3FBB460547674A30 /* A03 = +1.065371798825160976065e-01 */ - .quad 0xBFB26642FA16A685 /* A00 = -7.187288861919156890412e-02 */ - .quad 0x3FF59F9BEDE1C95A /* A01 = +1.351467065073470141812e+00 */ - .quad 0xBFE3D67920C8FBEA /* A02 = -6.199308052381387046381e-01 */ - .quad 0x3FBA24F6A8D3CBC1 /* A03 = +1.021265184570401413078e-01 */ - .quad 0xBFADB5294794F097 /* A00 = -5.802277563859197656582e-02 */ - .quad 0x3FF523EA7B9CF453 /* A01 = +1.321268542159732772845e+00 */ - .quad 0xBFE322A8B55E35DB /* A02 = -5.979808370918208160205e-01 */ - .quad 0x3FB8C8673B1B3E37 /* A03 = +9.680791085269722928697e-02 */ - .quad 0xBFA4B7D661965C6A /* A00 = -4.046506825687219699450e-02 */ - .quad 0x3FF48DE3E2CE3122 /* A01 = +1.284641157110919085227e+00 */ - .quad 0xBFE251FED1A7F445 /* A02 = -5.725092024655472622285e-01 */ - .quad 0x3FB745699FCABDB9 /* A03 = +9.090290213747821701507e-02 */ - .quad 0xBF93E60456E4EE1D /* A00 = -1.943213253365004902773e-02 */ - .quad 0x3FF3E1A14E628A59 /* A01 = +1.242585474196536532432e+00 */ - .quad 0xBFE16C5AB660E876 /* A02 = -5.444768488007543094653e-01 */ - .quad 0x3FB5AD33AA8C188F /* A03 = +8.467410005332197397987e-02 */ - .quad 0x3F738C17C47C7961 /* A00 = +4.772274820224659853951e-03 */ - .quad 0x3FF3234DDE3BD146 /* A01 = +1.196119182682268355933e+00 */ - .quad 0xBFE078C0D77A9D3B /* A02 = -5.147403915952176722826e-01 */ - .quad 0x3FB40D74B3E276B8 /* A03 = +7.833032027925923568290e-02 */ - .quad 0x3FA0474BECC689C7 /* A00 = +3.179394975019849550746e-02 */ - .quad 0x3FF256FB4FA7D18A /* A01 = +1.146235762743432307076e+00 */ - .quad 0xBFDEFA8E3FB285E2 /* A02 = -4.840427038235174395098e-01 */ - .quad 0x3FB270C007493D59 /* A03 = +7.203293016322244446403e-02 */ - .quad 0x3FAF5BD51E479BDC /* A00 = +6.124750132203590768931e-02 */ - .quad 0x3FF18081D0B53BC5 /* A01 = +1.093873801484492647162e+00 */ - .quad 0xBFDCFE2439BD0C03 /* A02 = -4.530115665294831006626e-01 */ - .quad 0x3FB0DEFE5A45AFDD /* A03 = +6.590261176978580437424e-02 */ - .quad 0x3FB7BD5D2806EA26 /* A00 = +9.273321368429118805032e-02 */ - .quad 0x3FF0A369E35B4440 /* A01 = +1.039895904647224256223e+00 */ - .quad 0xBFDB04BC5C9951E7 /* A02 = -4.221640495573226181669e-01 */ - .quad 0x3FAEBBBAA9D6DEEF /* A03 = +6.002600978120919278380e-02 */ - .quad 0x3FC01BE411098DBC /* A00 = +1.258511622610124502941e-01 */ - .quad 0x3FEF85BDABC031C1 /* A01 = +9.850757936961188621083e-01 */ - .quad 0xBFD91521375097C2 /* A02 = -3.919146576102968682065e-01 */ - .quad 0x3FABE26F0086D982 /* A03 = +5.446192628317005068883e-02 */ - .quad 0x3FC481D7FF5776B9 /* A00 = +1.602125164781023347604e-01 */ - .quad 0x3FEDC3506C1E7218 /* A01 = +9.300920592973538347792e-01 */ - .quad 0xBFD7349A88DA7D4F /* A02 = -3.625856720409119104964e-01 */ - .quad 0x3FA936E2DFF8E2AE /* A03 = +4.924687370334389358018e-02 */ - .quad 0x3FC90471F96FA27A /* A00 = +1.954481571149420671141e-01 */ - .quad 0x3FEC0451601987A2 /* A01 = +8.755270840595026360376e-01 */ - .quad 0xBFD5671CD4B898DC /* A02 = -3.344184949259110251063e-01 */ - .quad 0x3FA6BB9594603B67 /* A03 = +4.439990459660841243261e-02 */ - .quad 0x3FCFD8ADB9ED944C /* A00 = +2.488000066615846384011e-01 */ - .quad 0x3FE978C073F6809A /* A01 = +7.959902062321078108909e-01 */ - .quad 0xBFD2DF7E00BCD5A9 /* A02 = -2.948908812716931060471e-01 */ - .quad 0x3FA3614033D490B2 /* A03 = +3.785133965200894456959e-02 */ - .quad 0x3FD4846A12AFE5A0 /* A00 = +3.205819303981005674586e-01 */ - .quad 0x3FE63A1147D40472 /* A01 = +6.945883181471244061100e-01 */ - .quad 0xBFCFA2268AD34450 /* A02 = -2.471359422548027318101e-01 */ - .quad 0x3F9F150201D9FFE0 /* A03 = +3.035357605267552383310e-02 */ - .quad 0x3FD9018641F82BEB /* A00 = +3.907180446846598154131e-01 */ - .quad 0x3FE33B7C220FFBDC /* A01 = +6.010113396913498995389e-01 */ - .quad 0xBFCA4E4187E29C86 /* A02 = -2.055131829740483584423e-01 */ - .quad 0x3F98C30CED19F8F4 /* A03 = +2.418155858185229434287e-02 */ - .quad 0x3FDD4B8255BEB078 /* A00 = +4.577337109901757905561e-01 */ - .quad 0x3FE0858B19D3A49B /* A01 = +5.163016800335243905451e-01 */ - .quad 0xBFC5BC929EACE564 /* A02 = -1.698172831327539045176e-01 */ - .quad 0x3F93A083CE57DE2B /* A03 = +1.916700312537337677621e-02 */ - .quad 0x3FE0A8E5E039295C /* A00 = +5.206174258576470315063e-01 */ - .quad 0x3FDC35E1234583FE /* A01 = +4.407885403107342225937e-01 */ - .quad 0xBFC1DE034E31AEB9 /* A02 = -1.395877963835710222629e-01 */ - .quad 0x3F8EFDEBB3471BDC /* A03 = +1.513275280821162888101e-02 */ - .quad 0x3FE2851B603CB2A5 /* A00 = +5.787484054213406503564e-01 */ - .quad 0x3FD7F4A44ABBB286 /* A01 = +3.743067483726821853551e-01 */ - .quad 0xBFBD3EEB67087DE7 /* A02 = -1.142413260026767657385e-01 */ - .quad 0x3F8864F38329E8BD /* A03 = +1.191129917173260922836e-02 */ - .quad 0x3FE437DBE3C34AC1 /* A00 = +6.318187187665317283702e-01 */ - .quad 0x3FD43F6F789441B5 /* A01 = +3.163717916040938438194e-01 */ - .quad 0xBFB7D92E7901B9A4 /* A02 = -9.315767721429907277653e-02 */ - .quad 0x3F8327ED342308E1 /* A03 = +9.353497651663324544136e-03 */ - .quad 0x3FE5C0977766D55C /* A00 = +6.797597248138731451661e-01 */ - .quad 0x3FD10B42A764D8F9 /* A01 = +2.663122782427219115142e-01 */ - .quad 0xBFB3633351D3D70F /* A02 = -7.573242900602060456716e-02 */ - .quad 0x3F7E079E30FF899C /* A03 = +7.331483779099558922843e-03 */ - .quad 0x3FE7202CE08A88C4 /* A00 = +7.226776490754436288455e-01 */ - .quad 0x3FCC973EB5662B01 /* A01 = +2.233656297433626314319e-01 */ - .quad 0xBFAF70A455F9920B /* A02 = -6.140626477716545211782e-02 */ - .quad 0x3F77812411CE99B6 /* A03 = +5.738392731393584730859e-03 */ - .quad 0x3FE85879424095B1 /* A00 = +7.608000082006382003286e-01 */ - .quad 0x3FC7E73BD1674D84 /* A01 = +1.867441914060742336190e-01 */ - .quad 0xBFA96F84E4BF333B /* A02 = -4.967894832916504993525e-02 */ - .quad 0x3F72606DDCA6E117 /* A03 = +4.486493251924870105662e-03 */ - .quad 0x3FE96BFE4957F4DD /* A00 = +7.944327766887472330737e-01 */ - .quad 0x3FC3ED4780D25478 /* A01 = +1.556786898624158421711e-01 */ - .quad 0xBFA489C5F9A56B58 /* A02 = -4.011362717093075458408e-02 */ - .quad 0x3F6CB5DC17E9AD2A /* A03 = +3.504686231556104931972e-03 */ - .quad 0x3FEA5D9CB2F41234 /* A00 = +8.239272589858672724006e-01 */ - .quad 0x3FC091A758374DCF /* A01 = +1.294449978582705440555e-01 */ - .quad 0xBFA08E436D4B5CE0 /* A02 = -3.233538350257858517978e-02 */ - .quad 0x3F666997AD53E6B7 /* A03 = +2.735897297154145629133e-03 */ - .quad 0x3FEB3060342CB850 /* A00 = +8.496552485501158713532e-01 */ - .quad 0x3FBB7D30BBC7DC1B /* A01 = +1.073790033768634993860e-01 */ - .quad 0xBF9AA6BA3443D9E3 /* A02 = -2.602663940430173170060e-02 */ - .quad 0x3F617CA764B7850B /* A03 = +2.134634914668814050648e-03 */ - .quad 0x3FEBE759A6A0C7B8 /* A00 = +8.719909910635044170135e-01 */ - .quad 0x3FB6C10DE6A703FF /* A01 = +8.888327485239243264115e-02 */ - .quad 0xBF956C566D8BE1F6 /* A02 = -2.092108768099084498138e-02 */ - .quad 0x3F5B46D1A4A59CF8 /* A03 = +1.664833764687232917079e-03 */ - .quad 0x3FEC858494887A04 /* A00 = +8.912985707318630268503e-01 */ - .quad 0x3FB2CC31F543394D /* A01 = +7.342827070099140762682e-02 */ - .quad 0xBF9133477FF69137 /* A02 = -1.679717749142747504343e-02 */ - .quad 0x3F5544482FBB4DA5 /* A03 = +1.298017973501022466823e-03 */ - .quad 0x3FED0DB59D0E32E9 /* A00 = +9.079235141267335551518e-01 */ - .quad 0x3FAF006BAFFC6EF4 /* A01 = +6.055008433597022787787e-02 */ - .quad 0xBF8B97146FA2B97A /* A02 = -1.347175565419144252499e-02 */ - .quad 0x3F5093B01F4CDC69 /* A03 = +1.011774057770665211434e-03 */ - .quad 0x3FEDB487C3EC457C /* A00 = +9.282873942012623835751e-01 */ - .quad 0x3FA7390C09D0BD1D /* A01 = +4.535710925881118044112e-02 */ - .quad 0xBF83D9F7C3181106 /* A02 = -9.693084374710735778846e-03 */ - .quad 0x3F46E34A0A3C0E64 /* A03 = +6.984817050299072134500e-04 */ - .quad 0x3FEE5FFCB4E6EB00 /* A00 = +9.492171796076434020506e-01 */ - .quad 0x3F9F4913ED00AADF /* A01 = +3.055220731782070861526e-02 */ - .quad 0xBF79670BD0E59B5C /* A02 = -6.201788097633133961528e-03 */ - .quad 0x3F3BC998EBCAF96D /* A03 = +4.240034429975534616304e-04 */ - .quad 0x3FEEDBA41E9542FE /* A00 = +9.643116566968215064293e-01 */ - .quad 0x3F94F5DD18D9C24D /* A01 = +2.046914543319848858727e-02 */ - .quad 0xBF7034896AA122B9 /* A02 = -3.956352980886528904192e-03 */ - .quad 0x3F30DCCB47810B39 /* A03 = +2.573009765038273091199e-04 */ - .quad 0x3FEF33F2882520ED /* A00 = +9.750912341196716903724e-01 */ - .quad 0x3F8BF37F2CF553FF /* A01 = +1.364802699996836392315e-02 */ - .quad 0xBF649F6F05A69619 /* A02 = -2.517430152880317534986e-03 */ - .quad 0x3F247623C950AAC9 /* A03 = +1.561087307505231250044e-04 */ - .quad 0x3FEF727757751741 /* A00 = +9.827229221489021115943e-01 */ - .quad 0x3F828E67912C4400 /* A01 = +9.060677640748693306705e-03 */ - .quad 0xBF5A2F51A806CC2C /* A02 = -1.598195784123355826789e-03 */ - .quad 0x3F18D35D7687E613 /* A03 = +9.470231965016282719549e-05 */ - .quad 0x3FEF9E6325C5942A /* A00 = +9.880843866091073568469e-01 */ - .quad 0x3F788AB117618F76 /* A01 = +5.991641772286606867914e-03 */ - .quad 0xBF5096EAB0B1EA89 /* A02 = -1.012543859160305046233e-03 */ - .quad 0x3F0E1E50EC4435AB /* A03 = +5.744633156910412119652e-05 */ - .quad 0x3FEFBD0784049369 /* A00 = +9.918248728250605994461e-01 */ - .quad 0x3F702BBD8294035F /* A01 = +3.947963975634432264028e-03 */ - .quad 0xBF44FB55E0F00593 /* A02 = -6.403130845457509273330e-04 */ - .quad 0x3F0244DCD723230A /* A03 = +3.484534217219031730379e-05 */ - .quad 0x3FEFD245E2366A43 /* A00 = +9.944180887426415926811e-01 */ - .quad 0x3F653D82EC088433 /* A01 = +2.592807490387838333795e-03 */ - .quad 0xBF3A7DF75E013CB8 /* A02 = -4.042366908878036561859e-04 */ - .quad 0x3EF6298E69F991CD /* A03 = +2.113564425911141559972e-05 */ - .quad 0x3FEFE0EAA508BC69 /* A00 = +9.962056372950317539861e-01 */ - .quad 0x3F5BD0771AF3FDDA /* A01 = +1.697651208644282514598e-03 */ - .quad 0xBF30B2E1254DE571 /* A02 = -2.548026725928887099328e-04 */ - .quad 0x3EEAE28B70EC0256 /* A03 = +1.281973848454955042307e-05 */ - .quad 0x3FEFEAF5303D7F96 /* A00 = +9.974313680831865536192e-01 */ - .quad 0x3F5229111365657E /* A01 = +1.108423877289460134782e-03 */ - .quad 0xBF250572D04DFE66 /* A02 = -1.603796628408704519168e-04 */ - .quad 0x3EE04E89BB57C981 /* A03 = +7.775682983689149966743e-06 */ - .quad 0x3FEFF1CF52F1CF44 /* A00 = +9.982678051005469122003e-01 */ - .quad 0x3F47A71316147CEB /* A01 = +7.218211359577819110842e-04 */ - .quad 0xBF1A6D7604055719 /* A02 = -1.008132248946049582547e-04 */ - .quad 0x3ED3C8047586A85C /* A03 = +4.716233739913014633626e-06 */ - .quad 0x3FEFF6770369EF69 /* A00 = +9.988360468555416149528e-01 */ - .quad 0x3F3EBB261180FBF0 /* A01 = +4.689186039321105101130e-04 */ - .quad 0xBF1097754FE19D7F /* A02 = -6.329206004950480057066e-05 */ - .quad 0x3EC7FEFF83BCA0A7 /* A03 = +2.860556404988488738366e-06 */ - .quad 0x3FEFF99D42371AC4 /* A00 = +9.992204945818561334647e-01 */ - .quad 0x3F33EB2AEC271F59 /* A01 = +3.039340773764907474054e-04 */ - .quad 0xBF04CF18E0FC0D79 /* A02 = -3.968996690952969588805e-05 */ - .quad 0x3EBD1BDBD6019BE9 /* A03 = +1.735021065507727833886e-06 */ - .quad 0x3FEFFBBCA32B0D91 /* A00 = +9.994795977476532700123e-01 */ - .quad 0x3F29C41E1615110A /* A01 = +1.965796209707565346710e-04 */ - .quad 0xBEFA11F93D9DCB5A /* A02 = -2.486248909101414873235e-05 */ - .quad 0x3EB1A7CA4546F7A7 /* A03 = +1.052345642723709228769e-06 */ - .quad 0x3FEFFD298B8E8DE2 /* A00 = +9.996535993308806045121e-01 */ - .quad 0x3F20A1C42D523C5B /* A01 = +1.268913244172078754520e-04 */ - .quad 0xBEF0507A364AFAE4 /* A02 = -1.555859070622834605755e-05 */ - .quad 0x3EA56ACA17E7CDF4 /* A03 = +6.382806956848098872313e-07 */ - .quad 0x3FEFFE1DC82BA5A3 /* A00 = +9.997700604991915929176e-01 */ - .quad 0x3F156E73B90F1769 /* A01 = +8.175450626798714452801e-05 */ - .quad 0xBEE4663579D0A09F /* A02 = -9.727122057226747625365e-06 */ - .quad 0x3E99FAF6FEC5D4C1 /* A03 = +3.871371052824002996020e-07 */ - .quad 0x3FEFFEF8D0BB5E81 /* A00 = +9.998745037837154514548e-01 */ - .quad 0x3F06686DA18D39C3 /* A01 = +4.273972098777251447726e-05 */ - .quad 0xBED46BC298073E90 /* A02 = -4.868731025855742842491e-06 */ - .quad 0x3E88E42286B9D0FD /* A03 = +1.854535328530838170114e-07 */ - .quad 0x3FEFFF8DBC68DDC7 /* A00 = +9.999455146670975791423e-01 */ - .quad 0x3EF26B2953A80AF0 /* A01 = +1.756534514108903368909e-05 */ - .quad 0xBEBFC4472D580F83 /* A02 = -1.893443529411295465239e-06 */ - .quad 0x3E72505B4553D19F /* A03 = +6.822456673547912277047e-08 */ - .quad 0x3FEFFFCED1276609 /* A00 = +9.999765477215883935358e-01 */ - .quad 0x3EDE1A94C7CC58F5 /* A01 = +7.177313020153979672606e-06 */ - .quad 0xBEA8A2C988744E57 /* A02 = -7.342066660497443762363e-07 */ - .quad 0x3E5AF30036BBBAF4 /* A03 = +2.509841882843541084885e-08 */ - .quad 0x3FEFFFEAFE70FCFC /* A00 = +9.999899835164849370983e-01 */ - .quad 0x3EC879175E3549F5 /* A01 = +2.917410471128503564412e-06 */ - .quad 0xBE930E36677D1813 /* A02 = -2.839493400307523115929e-07 */ - .quad 0x3E43D4005B42D48F /* A03 = +9.233192745401904898013e-09 */ - .quad 0x3ff0000000000000 - .quad 0x0000000000000000 - .quad 0x0000000000000000 - .quad 0x0000000000000000 - .align 32 - .long 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000, 0x80000000 /* _sSignMask */ - .align 32 - .long 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff /* _sAbsMask */ - .align 32 - .long 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000, 0x7ff80000 /* _iExpMantMask */ - .align 32 - .long 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000, 0x7f000000 /* _iExpMask */ - .align 32 - .long 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000, 0x3cf80000 /* _iMinIdxOfsMask */ - .align 32 - .long 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000, 0x04280000 /* _iMaxIdxMask */ - .align 32 - .type __svml_stanh_data_internal,@object - .size __svml_stanh_data_internal,.-__svml_stanh_data_internal + vcvtps2pd %xmm4, %ymm5 + + vextractf128 $1, %ymm4, %xmm4 + vcvtps2pd %xmm4, %ymm4 + + vmovdqu 16(%rcx, %rax), %xmm2 + vinsertf128 $1, 16(%r11, %rax), %ymm2, %ymm2 + + vfmadd213pd %ymm3, %ymm5, %ymm1 + + vmovupd 16(%rdx, %rax), %xmm3 + vinsertf128 $1, 16(%r10, %rax), %ymm3, %ymm3 + + vunpcklpd %ymm3, %ymm2, %ymm10 + vunpckhpd %ymm3, %ymm2, %ymm2 + + vfmadd213pd %ymm10, %ymm4, %ymm2 + vfmadd213pd %ymm6, %ymm4, %ymm2 + vfmadd213pd %ymm7, %ymm4, %ymm2 + vcvtpd2ps %ymm2, %xmm2 + + vmovdqu (%r9, %rax), %xmm7 + vinsertf128 $1, (%rdi, %rax), %ymm7, %ymm7 + + vmovupd (%r8, %rax), %xmm3 + vinsertf128 $1, (%rsi, %rax), %ymm3, %ymm3 + + vunpckhpd %ymm3, %ymm7, %ymm4 + vunpcklpd %ymm3, %ymm7, %ymm7 + + vfmadd213pd %ymm4, %ymm5, %ymm1 + vfmadd213pd %ymm7, %ymm5, %ymm1 + + + vcvtpd2ps %ymm1, %xmm1 + vinsertf128 $1, %xmm2, %ymm1, %ymm1 + + vmovmskps %ymm15, %edx + vandnps %ymm0, %ymm11, %ymm2 + testl %edx, %edx + /* Go to special inputs processing branch. */ + jne L(SPECIAL_VALUES_BRANCH) + /* Wait until after branch of write over ymm0. */ + vorps %ymm2, %ymm1, %ymm0 + /* No stack restoration on the fastpath. */ + ret + + +L(SPECIAL_VALUES_BRANCH): + pushq %rbp + /* Need to callee save registers to preserve state across tanhf calls. + */ + pushq %r12 + pushq %r13 + movq %rsp, %rbp + + /* Align stack and make room for 2x ymm vectors. */ + andq $-32, %rsp + addq $-64, %rsp + + /* Save all already computed inputs. */ + vorps %ymm2, %ymm1, %ymm1 + vmovups %ymm1, (%rsp) + /* Save origional input (ymm0 unchanged up to this point). */ + vmovups %ymm0, 32(%rsp) + + vzeroupper + + /* edx has 1s where there was a special value that needs to be handled + by a tanhf call. */ + movl %edx, %r13d +L(SPECIAL_VALUES_LOOP): + /* use r12 as index for special value that is saved across calls to + tanhf. We technically don't need a callee save register here as offset + to rsp is always [0, 28] so we can restore rsp by realigning to 64. + Essentially the tradeoff is 1 extra save/restore vs 2 extra instructions + in the loop. */ + xorl %r12d, %r12d + tzcntl %r13d, %r12d + + /* Scalar math fucntion call to process special input. */ + movss 32(%rsp, %r12, 4), %xmm0 + call tanhf@PLT + /* No good way to avoid the store-forwarding fault this will cause on + return. `lfence` avoids the SF fault but at greater cost as it + serialized stack/callee save restoration. */ + movss %xmm0, (%rsp, %r12, 4) + + blsr %r13d, %r13d + jnz L(SPECIAL_VALUES_LOOP) + + /* All results have been written to 32(%rsp). */ + vmovups (%rsp), %ymm0 + movq %rbp, %rsp + popq %r13 + popq %r12 + popq %rbp + ret +END(_ZGVdN8v_tanhf_avx2)