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[209.132.180.131]) by mx.google.com with ESMTPS id g31si1961187pgm.141.2019.03.29.06.41.32 for (version=TLS1_2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Fri, 29 Mar 2019 06:41:33 -0700 (PDT) Received-SPF: pass (google.com: domain of libc-alpha-return-101017-patch=linaro.org@sourceware.org designates 209.132.180.131 as permitted sender) client-ip=209.132.180.131; Authentication-Results: mx.google.com; dkim=pass header.i=@sourceware.org header.s=default header.b=hHrUzHhv; dkim=pass header.i=@linaro.org header.s=google header.b=ejMWvB2g; spf=pass (google.com: domain of libc-alpha-return-101017-patch=linaro.org@sourceware.org designates 209.132.180.131 as permitted sender) smtp.mailfrom="libc-alpha-return-101017-patch=linaro.org@sourceware.org"; dmarc=pass (p=NONE sp=NONE dis=NONE) header.from=linaro.org DomainKey-Signature: a=rsa-sha1; c=nofws; d=sourceware.org; h=list-id :list-unsubscribe:list-subscribe:list-archive:list-post :list-help:sender:from:to:subject:date:message-id:in-reply-to :references; q=dns; s=default; b=lEg3Mrg7nNO04uet/eH1fULJa6JieRh FDa+ULEgmkAvQm7kk0iLt/PtxDSjwtQE47z0PbQy4V6Tk04d50ZNhbxeZPdIB6Z5 PhXqR8gtGkFFAwKrRsoFtxZN4ERPL3SatpC+Z5Std/MblUg22SbIL6N9uzMS+D09 oa6vxFYrSeaw= DKIM-Signature: v=1; a=rsa-sha1; c=relaxed; d=sourceware.org; h=list-id :list-unsubscribe:list-subscribe:list-archive:list-post :list-help:sender:from:to:subject:date:message-id:in-reply-to :references; s=default; bh=TjhKPgshZQjArnXKxRQNM5Iai1A=; b=hHrUz HhvYvJscg40AiZpcovEShDmsqzoVHwXcl3XuObnTwu0/pUXXzomgOfH22Flt7vWW rOcnYZxEHnPBd1mH2/72wz+JzZt6ITxgZOns3HKgJorI408PvdnXvGXyGtPhttkx tiY3LFtHy3/4yDb0SqkGN6I3cxyf9+cOtmyuqI= Received: (qmail 123521 invoked by alias); 29 Mar 2019 13:36:37 -0000 Mailing-List: contact libc-alpha-help@sourceware.org; run by ezmlm Precedence: bulk List-Id: List-Unsubscribe: List-Subscribe: List-Archive: List-Post: List-Help: , Sender: libc-alpha-owner@sourceware.org Delivered-To: mailing list libc-alpha@sourceware.org Received: (qmail 121308 invoked by uid 89); 29 Mar 2019 13:36:14 -0000 Authentication-Results: sourceware.org; auth=none X-Spam-SWARE-Status: No, score=-24.7 required=5.0 tests=AWL, BAYES_00, GIT_PATCH_0, GIT_PATCH_1, GIT_PATCH_2, GIT_PATCH_3, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_PASS autolearn=ham version=3.3.1 spammy= X-HELO: mail-vk1-f193.google.com DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=linaro.org; s=google; h=from:to:subject:date:message-id:in-reply-to:references; bh=9rJxf3/tZo4wh8l9T/lwT4LS1EH4AVs9yKluKbKcVrI=; b=ejMWvB2gfBUeaZqq5XbzRm42Uo0khrkDbkpUGJbdjH2HoJsudwsWpGZrRqzpgke1aU L77yeYgO7ARlV0h121SSDMls4cXkJ4kdaptx+4YV+C4Bm3sfz7MRNrH3ZDEmRVEYdFkU SFJSzoLAM/2jr/mNC6IRNw4udPvgIDTf+mveFAeJw3DXh5fEO8RJb91oTEN23l5h/EJv DAZPktknkUOL/SQhsBM4rhHoji+6e1At8qo+HyhnwSG03jmoMOIdc168HwHAM3p3XYFk w1UZllsjDpxGmDz5ogbdYSYQjWA6qBoLZfqMQ+60JoWHRmarVzFaJ4TiQNafk3h4ks+H JgvQ== Return-Path: From: Adhemerval Zanella To: libc-alpha@sourceware.org Subject: [PATCH 24/28] powerpc: hypot refactor and optimization Date: Fri, 29 Mar 2019 10:35:25 -0300 Message-Id: <20190329133529.22523-25-adhemerval.zanella@linaro.org> In-Reply-To: <20190329133529.22523-1-adhemerval.zanella@linaro.org> References: <20190329133529.22523-1-adhemerval.zanella@linaro.org> The powerpc hypot is slight optimized by: - Commit 8df4e219e43, both isnan and isinf are always inlined and thus the check TEST_INF_NAN does not make sense anymore. The generic check for POWER7 should be faster on all powerpc configuration. - Two reduntant checks (for y == 0 and y > two60factor && (x / y) > two60) are removed. Both changes leads to unrequired ifunc especialization for power7 and thus they are removed. Finally The code is also cleanup a bit by inlining the constants floating points. The performance changes using the hypot benchtests are: - POWER9 without patch: "hypot": { "overflow": { "duration": 4.98585e+09, "iterations": 4.84932e+08, "max": 46.551, "min": 10.229, "mean": 10.2815 }, "higher_two500": { "duration": 5.00192e+09, "iterations": 4.24843e+08, "max": 33.319, "min": 11.606, "mean": 11.7736 }, "subnormal": { "duration": 5.0075e+09, "iterations": 4.06792e+08, "max": 22.178, "min": 12.15, "mean": 12.3097 }, "less_two500": { "duration": 5.00685e+09, "iterations": 4.08772e+08, "max": 22.784, "min": 12.052, "mean": 12.2485 }, "default": { "duration": 5.06002e+09, "iterations": 4.09894e+08, "max": 20.648, "min": 11.874, "mean": 12.3447 } } - POWER9 with patch: "hypot": { "overflow": { "duration": 4.91848e+09, "iterations": 7.28039e+08, "max": 47.958, "min": 6.436, "mean": 6.75579 }, "higher_two500": { "duration": 4.9359e+09, "iterations": 6.63376e+08, "max": 20.783, "min": 7.321, "mean": 7.44057 }, "subnormal": { "duration": 4.9479e+09, "iterations": 6.19772e+08, "max": 18.856, "min": 7.817, "mean": 7.98341 }, "less_two500": { "duration": 4.94275e+09, "iterations": 6.3889e+08, "max": 17.452, "min": 7.597, "mean": 7.73647 }, "default": { "duration": 5.03645e+09, "iterations": 5.70718e+08, "max": 18.904, "min": 8.55, "mean": 8.82476 } } - POWER7 without patch "hypot": { "overflow": { "duration": 4.86637e+09, "iterations": 6.43196e+08, "max": 53.958, "min": 7.328, "mean": 7.56592 }, "higher_two500": { "duration": 4.99842e+09, "iterations": 3.11012e+08, "max": 78.227, "min": 15.696, "mean": 16.0715 }, "subnormal": { "duration": 4.99841e+09, "iterations": 3.08935e+08, "max": 51.392, "min": 15.983, "mean": 16.1795 }, "less_two500": { "duration": 5.00108e+09, "iterations": 2.99464e+08, "max": 73.247, "min": 16.416, "mean": 16.7001 }, "default": { "duration": 5.04645e+09, "iterations": 3.52608e+08, "max": 70.073, "min": 13.38, "mean": 14.3118 } } - POWER7 with patch "hypot": { "overflow": { "duration": 4.80785e+09, "iterations": 8.00001e+08, "max": 66.262, "min": 5.888, "mean": 6.00981 }, "higher_two500": { "duration": 4.9859e+09, "iterations": 3.39449e+08, "max": 5148.44, "min": 14.539, "mean": 14.6882 }, "subnormal": { "duration": 4.9905e+09, "iterations": 3.28874e+08, "max": 64.905, "min": 14.971, "mean": 15.1745 }, "less_two500": { "duration": 4.99494e+09, "iterations": 3.19755e+08, "max": 103.696, "min": 14.972, "mean": 15.6211 }, "default": { "duration": 5.03951e+09, "iterations": 4.02502e+08, "max": 61.008, "min": 12.368, "mean": 12.5205 } } Checked on powerpc-linux-gnu (built without --with-cpu, with --with-cpu=power4 and with --with-cpu=power5+ and --disable-multi-arch), powerpc64-linux-gnu (built without --with-cp and with --with-cpu=power5+ and --disable-multi-arch). * sysdeps/powerpc/fpu/e_hypot.c (two60, two500, two600, two1022, twoM500, twoM600, two60factor, pdnum): Remove. (TEST_INFO_NAN): Remove macro. (__ieee754_hypot): Replace static variables with inline definition, remove ununsed branches. * sysdeps/powerpc/powerpc64/fpu/multiarch/Makefile (libm-sysdep_routines): Remove e_hypot-* objects. (CFLAGS-e_hypot-power7.c, CFLAGS-e_hypotf-power7.c): Remove rule. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-power7.c: Remove file. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-ppc64.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-power7.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-ppc64.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf.c: Likewise. --- sysdeps/powerpc/fpu/e_hypot.c | 96 +++++-------------- .../powerpc/powerpc64/fpu/multiarch/Makefile | 5 +- .../powerpc64/fpu/multiarch/e_hypot-power7.c | 19 ---- .../powerpc64/fpu/multiarch/e_hypot-ppc64.c | 26 ----- .../powerpc/powerpc64/fpu/multiarch/e_hypot.c | 33 ------- .../powerpc64/fpu/multiarch/e_hypotf-power7.c | 19 ---- .../powerpc64/fpu/multiarch/e_hypotf-ppc64.c | 26 ----- .../powerpc64/fpu/multiarch/e_hypotf.c | 33 ------- 8 files changed, 23 insertions(+), 234 deletions(-) delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-power7.c delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-ppc64.c delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot.c delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-power7.c delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-ppc64.c delete mode 100644 sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf.c -- 2.17.1 Reviewed-by: Gabriel F. T. Gomes diff --git a/sysdeps/powerpc/fpu/e_hypot.c b/sysdeps/powerpc/fpu/e_hypot.c index 039e5be430..adbc7d28f6 100644 --- a/sysdeps/powerpc/fpu/e_hypot.c +++ b/sysdeps/powerpc/fpu/e_hypot.c @@ -22,15 +22,6 @@ #include #include -static const double two60 = 1.152921504606847e+18; -static const double two500 = 3.2733906078961419e+150; -static const double two600 = 4.149515568880993e+180; -static const double two1022 = 4.49423283715579e+307; -static const double twoM500 = 3.054936363499605e-151; -static const double twoM600 = 2.4099198651028841e-181; -static const double two60factor = 1.5592502418239997e+290; -static const double pdnum = 2.225073858507201e-308; - /* __ieee754_hypot(x,y) * * This a FP only version without any FP->INT conversion. @@ -39,95 +30,52 @@ static const double pdnum = 2.225073858507201e-308; * is needed. */ -#ifdef _ARCH_PWR7 -/* POWER7 isinf and isnan optimization are fast. */ -# define TEST_INF_NAN(x, y) \ - if ((isinf(x) || isinf(y)) \ - && !issignaling (x) && !issignaling (y)) \ - return INFINITY; \ - if (isnan(x) || isnan(y)) \ - return x + y; -# else -/* For POWER6 and below isinf/isnan triggers LHS and PLT calls are - * costly (especially for POWER6). */ -# define GET_TW0_HIGH_WORD(d1,d2,i1,i2) \ - do { \ - ieee_double_shape_type gh_u1; \ - ieee_double_shape_type gh_u2; \ - gh_u1.value = (d1); \ - gh_u2.value = (d2); \ - (i1) = gh_u1.parts.msw & 0x7fffffff; \ - (i2) = gh_u2.parts.msw & 0x7fffffff; \ - } while (0) - -# define TEST_INF_NAN(x, y) \ - do { \ - uint32_t hx, hy; \ - GET_TW0_HIGH_WORD(x, y, hx, hy); \ - if (hy > hx) { \ - uint32_t ht = hx; hx = hy; hy = ht; \ - } \ - if (hx >= 0x7ff00000) { \ - if ((hx == 0x7ff00000 || hy == 0x7ff00000) \ - && !issignaling (x) && !issignaling (y)) \ - return INFINITY; \ - return x + y; \ - } \ - } while (0) - -#endif - - double __ieee754_hypot (double x, double y) { + if ((isinf(x) || isinf(y)) + && !issignaling (x) && !issignaling (y)) + return INFINITY; + if (isnan(x) || isnan(y)) + return x + y; + x = fabs (x); y = fabs (y); - TEST_INF_NAN (x, y); - if (y > x) { double t = x; x = y; y = t; } - if (y == 0.0) - return x; + /* if y is higher enough, y * 2^60 might overflow. The tests if y >= 1.7976931348623157e+308/2^60 (two60factor) and uses the appropriate check to avoid the overflow exception generation. */ - if (y > two60factor) - { - if ((x / y) > two60) - return x + y; - } - else - { - if (x > (y * two60)) - return x + y; - } - if (x > two500) + if (y <= 0x1.fffffffffffffp+963 && x > (y * 0x1p+60)) + return x + y; + + if (x > 0x1p+500) { - x *= twoM600; - y *= twoM600; - return sqrt (x * x + y * y) / twoM600; + x *= 0x1p-600; + y *= 0x1p-600; + return sqrt (x * x + y * y) / 0x1p-600; } - if (y < twoM500) + if (y < 0x1p-500) { - if (y <= pdnum) + if (y <= 0x0.fffffffffffffp-1022) { - x *= two1022; - y *= two1022; - double ret = sqrt (x * x + y * y) / two1022; + x *= 0x1p+1022; + y *= 0x1p+1022; + double ret = sqrt (x * x + y * y) / 0x1p+1022; math_check_force_underflow_nonneg (ret); return ret; } else { - x *= two600; - y *= two600; - return sqrt (x * x + y * y) / two600; + x *= 0x1p+600; + y *= 0x1p+600; + return sqrt (x * x + y * y) / 0x1p+600; } } return sqrt (x * x + y * y); diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/Makefile b/sysdeps/powerpc/powerpc64/fpu/multiarch/Makefile index 118865a1a9..534d5a7133 100644 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/Makefile +++ b/sysdeps/powerpc/powerpc64/fpu/multiarch/Makefile @@ -8,8 +8,7 @@ sysdep_calls := s_modf-power5+ s_modf-ppc64 \ sysdep_routines += $(sysdep_calls) libm-sysdep_routines += s_logb-power7 s_logbf-power7 \ s_logbl-power7 s_logb-ppc64 s_logbf-ppc64 \ - s_logbl-ppc64 e_hypot-ppc64 \ - e_hypot-power7 e_hypotf-ppc64 e_hypotf-power7 \ + s_logbl-ppc64 \ $(sysdep_calls:s_%=m_%) CFLAGS-s_logbf-power7.c = -mcpu=power7 @@ -17,8 +16,6 @@ CFLAGS-s_logbl-power7.c = -mcpu=power7 CFLAGS-s_logb-power7.c = -mcpu=power7 CFLAGS-s_modf-power5+.c = -mcpu=power5+ CFLAGS-s_modff-power5+.c = -mcpu=power5+ -CFLAGS-e_hypot-power7.c = -mcpu=power7 -CFLAGS-e_hypotf-power7.c = -mcpu=power7 # These files quiet sNaNs in a way that is optimized away without # -fsignaling-nans. diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-power7.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-power7.c deleted file mode 100644 index 69818d8438..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-power7.c +++ /dev/null @@ -1,19 +0,0 @@ -/* __ieee_hypot() POWER7 version. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-ppc64.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-ppc64.c deleted file mode 100644 index da1e80f0d6..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot-ppc64.c +++ /dev/null @@ -1,26 +0,0 @@ -/* __ieee_hypot() PowerPC64 version. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#undef strong_alias -#define strong_alias(a, b) - -#define __ieee754_hypot __ieee754_hypot_ppc64 - -#include diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot.c deleted file mode 100644 index 3bd04e9517..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypot.c +++ /dev/null @@ -1,33 +0,0 @@ -/* Multiple versions of ieee754_hypot. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include -#include -#include "init-arch.h" - -extern __typeof (__ieee754_hypot) __ieee754_hypot_ppc64 attribute_hidden; -extern __typeof (__ieee754_hypot) __ieee754_hypot_power7 attribute_hidden; - -libc_ifunc (__ieee754_hypot, - (hwcap & PPC_FEATURE_ARCH_2_06) - ? __ieee754_hypot_power7 - : __ieee754_hypot_ppc64); - -strong_alias (__ieee754_hypot, __hypot_finite) diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-power7.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-power7.c deleted file mode 100644 index 223947a617..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-power7.c +++ /dev/null @@ -1,19 +0,0 @@ -/* __ieee_hypotf() POWER7 version. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-ppc64.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-ppc64.c deleted file mode 100644 index 6d5d54bb79..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf-ppc64.c +++ /dev/null @@ -1,26 +0,0 @@ -/* __ieee_hypot() PowerPC64 version. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#undef strong_alias -#define strong_alias(a, b) - -#define __ieee754_hypotf __ieee754_hypotf_ppc64 - -#include diff --git a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf.c b/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf.c deleted file mode 100644 index 02c0ab497f..0000000000 --- a/sysdeps/powerpc/powerpc64/fpu/multiarch/e_hypotf.c +++ /dev/null @@ -1,33 +0,0 @@ -/* Multiple versions of ieee754_hypot. - Copyright (C) 2013-2019 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include -#include -#include "init-arch.h" - -extern __typeof (__ieee754_hypotf) __ieee754_hypotf_ppc64 attribute_hidden; -extern __typeof (__ieee754_hypotf) __ieee754_hypotf_power7 attribute_hidden; - -libc_ifunc (__ieee754_hypotf, - (hwcap & PPC_FEATURE_ARCH_2_06) - ? __ieee754_hypotf_power7 - : __ieee754_hypotf_ppc64); - -strong_alias (__ieee754_hypotf, __hypotf_finite)