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([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.00 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:01 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 1/9] benchtests: Make hypot input random Date: Mon, 25 Oct 2021 08:57:48 -0300 Message-Id: <20211025115756.11767-2-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.5 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" Instead of inputs based on the algorithm implementation details. Abvout 85% tuples have exponents of the two arguments close together (+-1 range). Reviewed-by: H.J. Lu --- benchtests/hypot-inputs | 1015 ++++++++++++++++++++++++++++++++++++++- 1 file changed, 1003 insertions(+), 12 deletions(-) diff --git a/benchtests/hypot-inputs b/benchtests/hypot-inputs index e987e5dd1b..d81b1074fc 100644 --- a/benchtests/hypot-inputs +++ b/benchtests/hypot-inputs @@ -2,15 +2,1006 @@ ## args: double:double ## ret: double -## name: overflow -0x3.ffffffffffffcp-1024, 0x8p-152 -## name: higher_two500 -0x1.000002027941dp+500, 0x1.0000000000001p+500 -## name: subnormal -0x0.fffffffffffffp-1022, 0x0.fffffffffffffp-1022 -## name: less_two500 -0x1.fffffffffffffp-501, 0x1.fffffffffffffp-501 - -## name: default -3.0 , 4.0 -5.0 , 4.0 +# Random inputs with absolute value in [DBL_MIN, DBL_MAX]: +# ~85% tuples have exponents of the two arguments close together (+-1). +## name: workload-random +0x1.8024bd901cb38p+728, 0x1.8bac8e454d756p+728 +0x1.8bc032ca6bf0cp-216, 0x1.57b49b40dd4e9p-216 +-0x1.1656a91d4b847p-121, -0x1.0d51e5c39b39fp-121 +0x1.79a9f378abecap+399, 0x1.59bacb3d9f56ep+400 +-0x1.49925edb5064ap+843, -0x1.0592668551351p+842 +0x1.d21c9897128a6p-259, -0x1.51bc0a21de1f3p-258 +0x1.84cc5fd7258a1p+1014, -0x1.b58fdaf45caabp+1015 +0x1.1845f813ed3c1p-832, -0x1.d9a5543225b02p+482 +-0x1.3b08c8b06cdb2p+671, -0x1.29a190173f45fp+898 +-0x1.30cd15e304027p-894, -0x1.47cd824035adap-895 +0x1.46ffcb6755169p-246, 0x1.af6583dfdc71cp-246 +0x1.a2bce0621cbf2p-341, -0x1.b198bc9dfcf99p-342 +-0x1.cc993b94e931fp-1003, 0x1.33137c3233bcdp-57 +0x1.00d963a5aa5e5p-678, -0x1.afa61d932704dp-677 +-0x1.e3eb8a41dd9dbp-111, 0x1.24020ee1501a4p-110 +0x1.b9127c183259fp-87, -0x1.389f7aa3fd9dfp-86 +0x1.f8bc32769e759p-395, -0x1.7571a676e4dc2p+558 +-0x1.29a2a5e6f4a9ap+391, -0x1.52df4c9cd59dap+825 +-0x1.9022515eddea6p+15, -0x1.15054bc1613b8p+15 +0x1.191d44da604a5p+571, -0x1.2c476cbaeb92bp+571 +-0x1.4e9ed60b9276dp-542, -0x1.d1e9d01666a2ep+332 +0x1.f9bf6b717a9fcp+414, -0x1.19a08f5c7f872p+413 +0x1.b9dbc74c2e58fp-440, 0x1.e256d7b07c9b1p-441 +-0x1.8343d5c51f3a9p+859, -0x1.8ef0822b27ed1p+858 +-0x1.5e5b1762e5881p-404, 0x1.f5ff3a8167c04p-17 +0x1.1e904c9fc00d1p+959, 0x1.f6c31b0ccd1a9p+959 +-0x1.7fa4a8addb08bp+51, 0x1.90ed72f6b62c7p+52 +-0x1.bebb659c9bf9ap-417, 0x1.f1b77cddf8b2p-418 +-0x1.18ca40cc0d631p-554, 0x1.094d5bdc0d8edp-553 +-0x1.86ef591ab9b4ap+97, -0x1.4fe38e9e8193ap+97 +0x1.497fe0f1adcf3p+539, -0x1.c915e57cb9b95p+539 +-0x1.51def02fadfc1p-353, 0x1.b5c73210ff633p-354 +0x1.76ee4619eea7ap-213, 0x1.19fb248fb716cp-212 +0x1.4f8710825ddfap+843, 0x1.92e59ffe2df8p+843 +0x1.4873d80d03b26p+466, -0x1.85106ab75f90bp+465 +0x1.be319cdcb009ep+375, 0x1.08a6a81ef2d9fp-329 +0x1.06b9d28caa8a5p-124, -0x1.3071acc060651p-123 +-0x1.3d79f01be7dd4p-185, 0x1.9941fd987b53bp-200 +0x1.81348ce04f796p+175, 0x1.9913616b7ac13p+364 +0x1.0400c1053592p-523, -0x1.9f06e5c55c9fdp-524 +-0x1.f385835592bd6p+765, 0x1.2bfe786e01baap+766 +-0x1.4e102576a532ep+127, -0x1.951064c55d753p+126 +0x1.f3b3b96c637bfp+1002, 0x1.acc8fb4ab3c03p+1002 +0x1.de70180439fd8p-305, -0x1.a3f5933bd6ddep-305 +0x1.624127676d658p+1021, 0x1.133532870c5fep+987 +0x1.8247781ae75cfp-800, 0x1.bdddca24918d3p+865 +0x1.df60bbe47f5fep+316, -0x1.af5566e4385cdp+317 +0x1.fdb99289abbefp+446, 0x1.92c0f6be73211p+447 +0x1.bd6d2922353fcp-217, 0x1.4ddb7ae754a0ep-218 +0x1.c93b3f4e2ad8ep-646, -0x1.163f8646522b1p-646 +0x1.eb0b9d891fb22p+869, -0x1.a33509a6b9a85p-1007 +0x1.e849ab3ba76eep+350, 0x1.854c3fa52be96p+349 +-0x1.79f461843cb01p-122, 0x1.cd9b7909e0b2ep-122 +-0x1.576cd94755dfdp-826, -0x1.55d92da71d0d3p+398 +-0x1.9f326bb0da946p-865, -0x1.30231f24c10a2p-866 +0x1.9edf2eb37345dp+649, -0x1.68730a67b8b1bp+894 +0x1.aaa281c695e92p-43, 0x1.552cfc4892308p-44 +-0x1.881523fe06536p-28, 0x1.b21dd9e68977fp-28 +0x1.9b8e04ce1082bp-1013, -0x1.3d88ff952dc8p+187 +0x1.25fcf7fb2042ep-88, 0x1.d891c908b63fdp-88 +-0x1.095f66e821d8ep+160, 0x1.6d167e58d508bp-348 +-0x1.b93e87d5d0732p-518, 0x1.a1b08ae6d6209p-518 +0x1.cb980048582ffp-33, 0x1.87690eee26093p-33 +-0x1.85a25395c0745p+47, -0x1.214356f11d372p+46 +0x1.1a250673b249bp-1003, 0x1.853d8ecd2a755p-1003 +-0x1.89c143fff6eedp+89, 0x1.442526199c9f1p+548 +-0x1.da1c9926d985ap+885, -0x1.ad2f4b558cdb6p+885 +0x1.1c14ac0cec4c5p-665, 0x1.e2f9f7375e0cdp-664 +-0x1.0adadf7373ecfp+171, -0x1.20a2259016981p+171 +-0x1.337ea5027d6b1p-815, -0x1.202d0ca9342c6p+282 +0x1.a06a3e15e2684p+868, -0x1.9a7cb96d9d9c5p+868 +-0x1.002593a8c8843p+906, -0x1.4b8fc2bf430bep+907 +-0x1.946494ed49de7p-735, -0x1.f71162d36e03p-734 +-0x1.5cfab8646afb3p+868, 0x1.3b992ec69854cp+868 +-0x1.7d14c02839714p-484, 0x1.60f90c2d2aea3p-484 +0x1.83f2da9b983b5p+879, 0x1.a75fc0194deaep+879 +-0x1.52b28fe37233cp+321, -0x1.20ed8e0502901p+322 +0x1.ed44975a158a2p-537, -0x1.96b1fe5961ed4p-538 +-0x1.4ba6192dc933p+904, -0x1.c623798113725p-938 +-0x1.08ab8804ac5fbp-671, 0x1.613f93ad71d3ap-670 +-0x1.9edffa1f5a5b3p-811, 0x1.2939b210547cfp-811 +-0x1.9a2a4f5dbdfe6p-834, -0x1.9be9e3073e1a8p-835 +0x1.56a75cdf994a4p-1001, 0x1.c1abfca4d9f42p-1002 +0x1.f43ead1a15eacp+411, -0x1.d1ea9ef760d5p+411 +-0x1.5863273c460f9p+231, 0x1.608c3a4807098p+230 +-0x1.bf30a283037c8p-909, 0x1.2436cd00fd6a2p-910 +0x1.f97e3c82211f8p+481, -0x1.5e7976a14b005p+481 +0x1.7f0f38bb5503cp-390, 0x1.91d219bfbc4afp-391 +-0x1.78d10bc7fcb47p+976, 0x1.ce9f045fd7d4cp+560 +-0x1.6aff320b3a1a7p-108, 0x1.a4428ad4cc771p-108 +-0x1.3e5b8ddd1238dp-375, 0x1.d80fe7ffe5797p-375 +0x1.afb1d0bda1cbp+919, -0x1.70a40d0be5e12p+920 +-0x1.ce8a59af08f91p+103, 0x1.1e18e493f73ffp+102 +0x1.15bc19053e22cp+212, 0x1.7f4cf69e62e6ap+211 +0x1.5f14dd2a1cd05p+263, -0x1.3da3a5f6243d6p+262 +-0x1.4d0c73ea6829ap+572, -0x1.1940a47e7e21bp+572 +0x1.a5ead40188ce8p+336, 0x1.56873ddb1ae07p+336 +0x1.bd556997b9ecp-947, -0x1.cac7794b81417p-947 +-0x1.ba400aa0a0bfp-157, 0x1.b79f2d0e3cb5cp-156 +-0x1.2911d0c0b277ap-553, 0x1.85131b2e44ccap-554 +0x1.aec0c715443fap-601, -0x1.87737dcca7b8fp-600 +0x1.bab66adf8cb66p+76, 0x1.c4c326a5e02d3p+76 +0x1.f64aa9aa0437bp+666, -0x1.01ec10acce32p+667 +0x1.7ea35f4b8ccaap+820, -0x1.3e510e57b3392p-204 +0x1.219713de605e5p+293, 0x1.151094109000dp+294 +-0x1.9f4154e8b859dp-957, -0x1.436cb6a2c2db1p-957 +-0x1.b991c22a55255p-134, 0x1.24b4fd64ee1c2p-134 +0x1.8f9b0e9f74c1ep-508, -0x1.8e59b754c9db4p-509 +-0x1.c69dbef24bc5bp+43, 0x1.b16c2dd3477f3p+859 +-0x1.804bb5656da86p+90, 0x1.be38831f240f3p+769 +0x1.45602c1c35f33p-50, -0x1.66e953da5fb9fp-49 +0x1.79813a5f2f8c8p-860, -0x1.9a928f2bcf226p-860 +-0x1.5b44cbda3a0fap-569, -0x1.bb6e3da1c65e6p-569 +0x1.8bbf33f78a383p+580, 0x1.5fe60267fcaddp+579 +0x1.515dd9d766b01p-692, -0x1.a9317792776fep-692 +-0x1.47a87cea13ed6p-114, 0x1.1fd7a379e73bdp-114 +0x1.738e0f16f00e6p+304, 0x1.e88d3cae21f6dp+303 +-0x1.89a94598bbd16p-329, -0x1.342bf9ccfb32ap-330 +0x1.216f17692fc21p+351, -0x1.97e78a8e5599dp+351 +-0x1.126f60772faa7p+673, -0x1.fe51239e34c05p+672 +-0x1.4eaf460c8916dp-231, 0x1.9d1e7ba881ec1p-232 +-0x1.00f7377f7c985p-502, -0x1.fe3e13dd7a7f8p-501 +0x1.95c2fe253df5dp+471, -0x1.676b490b2aaabp+471 +-0x1.f0ce1f3855555p-192, 0x1.5a7cb5c9ba871p-192 +-0x1.4949f12847ba1p-56, 0x1.bb382974be2fbp-55 +0x1.b5ac1d0c099eap+870, 0x1.b33fc2d1ec03fp+871 +-0x1.af46b91ec7c73p+766, -0x1.c3e746e835358p+765 +-0x1.cf325ac0ef2f4p-304, 0x1.2f9f616a24dd8p-303 +-0x1.2d50f90552cf1p+600, -0x1.dbab102cb4786p+600 +-0x1.faef367638d74p+784, 0x1.3d59c4ae7cfafp-1020 +0x1.d931ac8f9c04ep-118, -0x1.1bb6dd27518ecp-119 +0x1.25e026ade10a9p+991, 0x1.dd281046c75b7p+990 +-0x1.fb430593bb6bdp-423, -0x1.cc61fd84652f5p-422 +-0x1.2ab99548e65dap+929, 0x1.43eef8662c0c4p-431 +-0x1.bbee54029d727p+29, 0x1.6b9aa5a83c422p+30 +-0x1.158d951590196p-168, 0x1.20dda2e7831c3p-168 +0x1.a8482c699f9f8p-800, 0x1.9435c6999e83p-799 +-0x1.6ec59b349e5e3p-744, -0x1.eeef33f115713p-744 +-0x1.fdab8c8570253p-30, 0x1.8682f5c3069b4p-31 +0x1.0124962b43a28p+726, -0x1.9d097ac1cb8ep-258 +-0x1.20aa08ce23494p-881, 0x1.e8997f55d7122p-1011 +-0x1.08c546512f156p-140, -0x1.113c0583f497p-141 +0x1.92b13efbe80fdp-785, 0x1.4fe02b51495afp-784 +-0x1.74e8040a4d71p-390, 0x1.c0c53c66a7198p-369 +-0x1.1486c8ea365b2p+1009, -0x1.9665b3f70a2ccp+1008 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0x1.cc651706b9b5cp+281 +0x1.dc883891640b9p-848, -0x1.799dc68c3f71ep-849 From patchwork Mon Oct 25 11:57:49 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46601 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 AF76A3858433 for ; Mon, 25 Oct 2021 11:59:54 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org AF76A3858433 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163194; bh=KY3PJYwfI+DnLd44cXeXoVxmMOk6aMGIxGUvzz9dYSk=; h=To:Subject:Date:In-Reply-To:References:List-Id:List-Unsubscribe: List-Archive:List-Post:List-Help:List-Subscribe:From:Reply-To: From; b=sJvkp+c6sEkzMvN0NnxpbeG+IOwW+uGwqPgxD6kfRyt86G8E77X9XGJ14EU3sLHpr 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([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.02 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:03 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 2/9] benchtests: Add hypotf Date: Mon, 25 Oct 2021 08:57:49 -0300 Message-Id: <20211025115756.11767-3-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.4 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" Based on random input arguments. About 85% tuples have exponents of the two arguments close together (+-1 range). Reviewed-by: H.J. Lu --- benchtests/Makefile | 2 +- benchtests/hypotf-inputs | 1007 ++++++++++++++++++++++++++++++++++++++ 2 files changed, 1008 insertions(+), 1 deletion(-) create mode 100644 benchtests/hypotf-inputs diff --git a/benchtests/Makefile b/benchtests/Makefile index 4fcd73131a..ad4bbf2912 100644 --- a/benchtests/Makefile +++ b/benchtests/Makefile @@ -26,7 +26,7 @@ bench-math := acos acosh asin asinh atan atanh cos cosh exp exp2 log log2 \ fmaxf powf trunc truncf roundeven roundevenf expf exp2f logf \ log2f sincosf sinf cosf isnan isinf isfinite hypot logb logbf \ exp10f ilogb ilogbf cbrt erf erfc exp10 expm1 j0 j1 lgamma \ - log10 log1p tgamma y0 y1 atan2 + log10 log1p tgamma y0 y1 atan2 hypotf ifneq (,$(filter yes,$(float96-fcts))) bench-math += cbrtl diff --git a/benchtests/hypotf-inputs b/benchtests/hypotf-inputs new file mode 100644 index 0000000000..7fd309a1df --- /dev/null +++ b/benchtests/hypotf-inputs @@ -0,0 +1,1007 @@ +## includes: math.h +## args: float:float +## ret: float + +# Random inputs with absolute value in [FLT_MIN, FTL_MAX]: +# ~85% tuples have exponents of the two arguments close together (+-1). +## name: workload-random +0x1.b37faep-59, -0x1.443f1ep-85 +-0x1.b00438p+31, -0x1.3ee7b6p+31 +-0x1.48dfa2p-37, -0x1.7ac1d2p-37 +-0x1.83f736p+107, -0x1.88b26cp+109 +0x1.83ed54p+91, 0x1.55d334p+93 +-0x1.47ebeap-111, -0x1.dc808p-109 +-0x1.1b0d96p-31, -0x1.dfc498p-33 +0x1.e1bbd8p+71, 0x1.16f5aap+69 +-0x1.e384dap+53, -0x1.42407ap+51 +0x1.e94eccp+3, 0x1.ec1a74p+5 +0x1.98b656p-87, 0x1.ff4ebep-87 +0x1.d0bfcap-125, 0x1.758378p-128 +-0x1.47e2d2p+109, -0x1.837feap+109 +-0x1.fe575p-67, -0x1.d41e62p-65 +-0x1.d9f5a8p+53, -0x1.98ef0ap+55 +0x1.254ebp+127, -0x1.dbe9fp-129 +0x1.20d48cp+69, 0x1.e6f02cp+67 +0x1.8ed386p-87, 0x1.7e75cap-89 +0x1.f2692ep+41, 0x1.6cdc8p+41 +0x1.8040e8p+61, 0x1.d20d7ep+63 +-0x1.4a1e16p-111, -0x1.b67c92p-113 +0x1.3c858ap+51, 0x1.097ddap+53 +0x1.5e8616p+49, 0x1.dd3cp+5 +0x1.0204p+41, 0x1.5eed7cp+41 +-0x1.e5b88p-43, -0x1.119f38p-65 +0x1.b77c7ep+81, 0x1.f2c3bep+79 +-0x1.c4f224p-127, -0x1.935828p-127 +0x1.4c357cp-125, 0x1.b48d6ep-125 +0x1.7af80ap+17, 0x1.3cabd8p+15 +0x1.e2ffbap-13, 0x1.da2e0cp+127 +-0x1.42ff0cp+101, -0x1.187314p+99 +-0x1.a9f91p+49, -0x1.bc7a8p+51 +0x1.40d9ccp-15, 0x1.1698f6p-13 +0x1.441928p+119, 0x1.53437cp+121 +0x1.4c83c6p+113, 0x1.d93ed8p+111 +-0x1.26c22ep-93, -0x1.7df728p-91 +-0x1.1d37cap+45, -0x1.655034p+47 +0x1.0e87cap+33, 0x1.17b8dep+33 +-0x1.45d096p-39, -0x1.ecc78cp-41 +-0x1.a0eb34p+25, -0x1.fe9774p+23 +-0x1.f61bc8p+53, -0x1.f04d26p+53 +0x1.648eb8p+119, 0x1.77724cp+119 +0x1.96f20ap+25, 0x1.f242aep+25 +0x1.a70ee2p-25, 0x1.90f996p-25 +-0x1.07f2fp+23, -0x1.4c2526p+25 +0x1.90f74ep+97, 0x1.8d3d32p+95 +0x1.8095e2p-73, -0x1.77349p-119 +0x1.685484p+25, 0x1.92976ep+27 +-0x1.33fb5ap+91, -0x1.a80c78p+93 +0x1.750e36p+105, 0x1.ae37a6p+65 +-0x1.29f6d4p+103, -0x1.0cae78p+101 +0x1.37aa9p-33, 0x1.ed4146p-31 +0x1.69cab6p-75, -0x1.7c0708p+63 +0x1.3011f6p+99, 0x1.576df4p+99 +-0x1.8d5fcep+97, -0x1.0bde36p+97 +-0x1.9fe7c2p-15, -0x1.f953f4p-15 +0x1.49812p-73, 0x1.4b3fdcp-75 +-0x1.7fce3ap-31, -0x1.cc3362p-29 +0x1.74aa9cp+103, 0x1.c64796p+25 +-0x1.1fc96p-73, -0x1.5a2206p-73 +-0x1.625c56p+55, -0x1.f270fcp+53 +0x1.4af82ep+85, 0x1.f5e83cp+87 +0x1.db2792p-9, 0x1.6f8a84p-9 +0x1.de4236p+11, 0x1.30a826p+9 +0x1.8175dap+41, 0x1.7ce866p+39 +-0x1.904ac2p+15, -0x1.d8b98ep+15 +0x1.16b22ep+39, 0x1.3449a6p+37 +0x1.e7537cp-29, 0x1.305d1cp-29 +-0x1.9e4b6cp-83, -0x1.a0891ap-83 +0x1.d1ba72p+59, 0x1.14827ap+59 +0x1.e23392p-57, 0x1.02a852p-55 +0x1.508884p+43, 0x1.f24b8p+45 +-0x1.28083p-13, -0x1.2f259cp-13 +0x1.2ec386p-21, 0x1.a15d1p-21 +0x1.34c062p-3, 0x1.2d27fap-1 +-0x1.ce9968p+85, -0x1.1aff0cp+83 +-0x1.357972p-125, -0x1.a7f24cp-107 +-0x1.80b35ep-43, -0x1.295f72p-43 +0x1.7a92e2p-23, 0x1.4945dap-21 +0x1.49df6p-71, 0x1.3efabcp-71 +-0x1.fd4cd8p-15, -0x1.b177a8p-13 +-0x1.39dda6p-113, -0x1.30fe8ap-19 +-0x1.921016p-111, -0x1.78a92ap-111 +-0x1.589e9p+95, -0x1.43996cp+93 +0x1.8dc652p+31, -0x1.0b2a7ep+3 +0x1.0c1c5ap+45, 0x1.307ddp+43 +0x1.15b21cp+17, 0x1.c2bb9p+17 +0x1.f1727ap-89, 0x1.ba819cp-87 +0x1.673e3ep-7, 0x1.73e1f4p-85 +-0x1.76ebdcp-25, -0x1.b32b56p-23 +0x1.4c275ep+9, 0x1.9e3d5ap+9 +0x1.130b58p-121, 0x1.9f1d6p-123 +-0x1.f1ef42p+35, -0x1.74723ap+37 +0x1.62ed8ap+43, 0x1.c3f4dep+43 +0x1.1243e2p+29, 0x1.99ab58p+31 +0x1.832e6ep-55, 0x1.8417bp-57 +-0x1.e8ae9p-129, -0x1.5e7d68p-125 +-0x1.208b3ap-3, -0x1.2a9884p-1 +0x1.0edap-113, 0x1.694e1ep-111 +-0x1.8d43f2p-27, -0x1.c1c9bap-29 +-0x1.cad948p-113, -0x1.6f1abap+45 +-0x1.d789e4p+37, -0x1.48e888p+39 +-0x1.0b26e2p+33, -0x1.30c6d2p+33 +-0x1.d035fcp-51, -0x1.fd8658p-49 +0x1.af7e32p+63, 0x1.3f978ap+61 +0x1.cd9384p+17, 0x1.7681b8p+17 +0x1.64b27p-11, 0x1.5439cep-13 +0x1.efbd4ap-67, 0x1.1090e2p-43 +0x1.a11278p+41, 0x1.38298cp+43 +-0x1.58d1dcp-39, -0x1.242702p-65 +0x1.17512p+115, -0x1.8ae69ep-61 +0x1.e3974p-95, 0x1.03bc34p-97 +-0x1.f9033p+33, -0x1.245142p+33 +0x1.c533dap+123, -0x1.016dfp-49 +-0x1.7842fap-61, -0x1.526a46p-63 +0x1.2cb57p-37, 0x1.246898p-39 +0x1.b908cp-59, 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-0x1.e70806p-39 +-0x1.496ae6p+89, -0x1.6ecd24p+91 +0x1.c092a4p-27, 0x1.e7d0d8p-29 +0x1.0b83fp-95, 0x1.488ab6p-95 +-0x1.1fc906p-121, -0x1.3a29dp-1 +0x1.27a47cp-45, 0x1.aec276p-45 +0x1.2fb352p+97, 0x1.7095f2p+97 +0x1.e6fd2ap+121, 0x1.0e6b1cp+123 +-0x1.f5f54ep+83, 0x1.0e43fp+123 +-0x1.0895e6p+89, -0x1.3891fp+87 +-0x1.c02328p-31, -0x1.10c3d2p-31 From patchwork Mon Oct 25 11:57:50 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46600 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 561B4385841B for ; Mon, 25 Oct 2021 11:59:06 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org 561B4385841B DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163146; 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([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.03 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:04 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 3/9] math: Simplify hypotf implementation Date: Mon, 25 Oct 2021 08:57:50 -0300 Message-Id: <20211025115756.11767-4-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-11.7 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_ASCII_DIVIDERS, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" Use isnan()/isinf() instead of GET_FLOAT_WORD and integer operations. There is also no need to check for 0.0. The file Copyright is also changed to use GPL, the implementation was completely changed by 7c10fd3515f to use double precision instead of scaling and this change removes all the GET_FLOAT_WORD usage. Checked on x86_64-linux-gnu. --- sysdeps/ieee754/flt-32/e_hypotf.c | 57 +++++++++++++------------------ 1 file changed, 23 insertions(+), 34 deletions(-) diff --git a/sysdeps/ieee754/flt-32/e_hypotf.c b/sysdeps/ieee754/flt-32/e_hypotf.c index e770947dc1..6495a91cd4 100644 --- a/sysdeps/ieee754/flt-32/e_hypotf.c +++ b/sysdeps/ieee754/flt-32/e_hypotf.c @@ -1,46 +1,35 @@ -/* e_hypotf.c -- float version of e_hypot.c. - */ +/* Euclidean distance function. Float/Binary32 version. + Copyright (C) 2012-2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ + 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 float -__ieee754_hypotf(float x, float y) +__ieee754_hypotf (float x, float y) { - double d_x, d_y; - int32_t ha, hb; - - GET_FLOAT_WORD(ha,x); - ha &= 0x7fffffff; - GET_FLOAT_WORD(hb,y); - hb &= 0x7fffffff; - if (ha == 0x7f800000 && !issignaling (y)) - return fabsf(x); - else if (hb == 0x7f800000 && !issignaling (x)) - return fabsf(y); - else if (ha > 0x7f800000 || hb > 0x7f800000) - return fabsf(x) * fabsf(y); - else if (ha == 0) - return fabsf(y); - else if (hb == 0) - return fabsf(x); - - d_x = (double) x; - d_y = (double) y; + if ((isinf (x) || isinf (y)) + && !issignaling (x) && !issignaling (y)) + return INFINITY; + if (isnan (x) || isnan (y)) + return x + y; - return (float) sqrt(d_x * d_x + d_y * d_y); + return sqrt ((double) x * (double) x + (double) y * (double) y); } #ifndef __ieee754_hypotf libm_alias_finite (__ieee754_hypotf, __hypotf) From patchwork Mon Oct 25 11:57:51 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46603 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 21045385843A for ; Mon, 25 Oct 2021 12:01:25 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org 21045385843A DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163285; bh=5fGQQ+Ta0gFqWDX1ZRDw/rPi7OBm9chu6DsogCf46oE=; h=To:Subject:Date:In-Reply-To:References:List-Id:List-Unsubscribe: List-Archive:List-Post:List-Help:List-Subscribe:From:Reply-To: From; b=R/yCFILeBch+oRGOrvvzYJNjkKZ864gB81d+UQRG2blis/J8H2h+iKPDDb8LW9Gwe JD4ekC4gCuIKxH7Ks67n5WZNcxBZyrA8DMsJ7AalLakd4VoG+nXSmq0sOciJ7YIa+K 4jWekWutadOa1//aHhBR1J5VuoMTqWrdyx0nxTPs= X-Original-To: libc-alpha@sourceware.org Delivered-To: libc-alpha@sourceware.org Received: from mail-ua1-x92f.google.com (mail-ua1-x92f.google.com [IPv6:2607:f8b0:4864:20::92f]) by sourceware.org (Postfix) with ESMTPS id 61E38385841F for ; Mon, 25 Oct 2021 11:58:08 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org 61E38385841F Received: by mail-ua1-x92f.google.com with SMTP id e2so21451316uax.7 for ; Mon, 25 Oct 2021 04:58:08 -0700 (PDT) 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:in-reply-to :references:mime-version:content-transfer-encoding; bh=5fGQQ+Ta0gFqWDX1ZRDw/rPi7OBm9chu6DsogCf46oE=; b=d3dtYAwjINWKlZFpOilTrT0tUwn3jUfcKPm0ibo9ldYzn3noIJrtJP8ZO2AbEskO9Y 5AG6b50r2iiy/L5mNbdgY9F99wRBv6hTmnM/OumLlTosLSmYjJy8NK1mquzJ7ptjo/YR SNPATz4HYjqMW0ixoIAhpy8HfFlGupd8v6O7zfGE9gCGhajpfwtImxMlTClWZgjUQ8Dc Ji5vvvcVH/IU1t8uOORHSJ3vP+13+W5usg/NGjAATanOEOBhPIDYZUpz9sasa9Gdj2ta qYOrmYQPXMAgWfAgxyAV8USDu55bOZyfKrwERSbKiccQSBZgNC0v4YjKtfca++QFO8Rm PZdQ== X-Gm-Message-State: AOAM531dye5Gi4cctFEhipRwuROma2jGYxCSvn4Fk23SSycOpgV7VsFA S0BKi/QRjOjzFtG1W41B33UOJS+bGm/qHw== X-Google-Smtp-Source: ABdhPJwrJaWIL6cieaF8kRQH6NqkDUK/v14oduiaQ7NFnNEcunBgO8Nh1yssVp3n5R/Kxd7ohhmJ+g== X-Received: by 2002:ab0:4927:: with SMTP id z36mr7822775uac.83.1635163087744; Mon, 25 Oct 2021 04:58:07 -0700 (PDT) Received: from birita.. ([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.06 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:07 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 4/9] math: Use an improved algorithm for hypot (dbl-64) Date: Mon, 25 Oct 2021 08:57:51 -0300 Message-Id: <20211025115756.11767-5-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.2 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_ASCII_DIVIDERS, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" This implementation is based on the 'An Improved Algorithm for hypot(a,b)' by Carlos F. Borges [1] using the MyHypot3 with the following changes: - Handle qNaN and sNaN. - Tune the 'widely varying operands' to avoid spurious underflow due the multiplication and fix the return value for upwards rounding mode. - Handle required underflow exception for denormal results. The main advantage of the new algorithm is its precision: with a random 1e9 input pairs in the range of [DBL_MIN, DBL_MAX], glibc current implementation shows around 0.34% results with an error of 1 ulp (3424869 results) while the new implementation only shows 0.002% of total (18851). The performance result are also only slight worse than current implementation. On x86_64 (Ryzen 5900X) with gcc 10.3.1: Before: "hypot": { "workload-random": { "duration": 3.73205e+09, "iterations": 1.1e+08, "reciprocal-throughput": 23.3032, "latency": 44.5523, "max-throughput": 4.29127e+07, "min-throughput": 2.24455e+07 } } After: "hypot": { "workload-random": { "duration": 3.74903e+09, "iterations": 1.04e+08, "reciprocal-throughput": 22.3537, "latency": 49.743, "max-throughput": 4.47353e+07, "min-throughput": 2.01033e+07 } } Co-Authored-By: Paul Zimmermann Checked on x86_64-linux-gnu and aarch64-linux-gnu. [1] https://arxiv.org/pdf/1904.09481.pdf --- sysdeps/ieee754/dbl-64/e_hypot.c | 225 ++++++++++++------------------- 1 file changed, 86 insertions(+), 139 deletions(-) diff --git a/sysdeps/ieee754/dbl-64/e_hypot.c b/sysdeps/ieee754/dbl-64/e_hypot.c index 9ec4c1ced0..231fb0d70f 100644 --- a/sysdeps/ieee754/dbl-64/e_hypot.c +++ b/sysdeps/ieee754/dbl-64/e_hypot.c @@ -1,164 +1,111 @@ -/* @(#)e_hypot.c 5.1 93/09/24 */ -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ +/* Euclidean distance function. Double/Binary64 version. + Copyright (C) 2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. -/* __ieee754_hypot(x,y) - * - * Method : - * If (assume round-to-nearest) z=x*x+y*y - * has error less than sqrt(2)/2 ulp, than - * sqrt(z) has error less than 1 ulp (exercise). - * - * So, compute sqrt(x*x+y*y) with some care as - * follows to get the error below 1 ulp: - * - * Assume x>y>0; - * (if possible, set rounding to round-to-nearest) - * 1. if x > 2y use - * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y - * where x1 = x with lower 32 bits cleared, x2 = x-x1; else - * 2. if x <= 2y use - * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) - * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, - * y1= y with lower 32 bits chopped, y2 = y-y1. - * - * NOTE: scaling may be necessary if some argument is too - * large or too tiny - * - * Special cases: - * hypot(x,y) is INF if x or y is +INF or -INF; else - * hypot(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypot(x,y) returns sqrt(x^2+y^2) with error less - * than 1 ulps (units in the last place) - */ + 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 + . */ + +/* This implementation is based on 'An Improved Algorithm for hypot(a,b)' by + Carlos F. Borges [1] using the MyHypot3 with the following changes: + + - Handle qNaN and sNaN. + - Tune the 'widely varying operands' to avoid spurious underflow + due the multiplication and fix the return value for upwards + rounding mode. + - Handle required underflow exception for subnormal results. + + [1] https://arxiv.org/pdf/1904.09481.pdf */ #include #include #include +#include #include +#include + +/* sqrt (DBL_EPSILON / 2.0) */ +#define SQRT_EPS_DIV_2 0x1.6a09e667f3bcdp-27 +/* DBL_MIN / (sqrt (DBL_EPSILON / 2.0)) */ +#define DBL_MIN_THRESHOLD 0x1.6a09e667f3bcdp-996 +/* eps (double) * sqrt (DBL_MIN)) */ +#define SCALE 0x1p-563 +/* 1 / eps (sqrt (DBL_MIN) */ +#define INV_SCALE 0x1p+563 +/* sqrt (DBL_MAX) */ +#define SQRT_DBL_MAX 0x1.6a09e667f3bccp+511 +/* sqrt (DBL_MIN) */ +#define SQRT_DBL_MIN 0x1p-511 double __ieee754_hypot (double x, double y) { - double a, b, t1, t2, y1, y2, w; - int32_t j, k, ha, hb; + if ((isinf (x) || isinf (y)) + && !issignaling (x) && !issignaling (y)) + return INFINITY; + if (isnan (x) || isnan (y)) + return x + y; - GET_HIGH_WORD (ha, x); - ha &= 0x7fffffff; - GET_HIGH_WORD (hb, y); - hb &= 0x7fffffff; - if (hb > ha) - { - a = y; b = x; j = ha; ha = hb; hb = j; - } - else + double ax = fabs (x); + double ay = fabs (y); + if (ay > ax) { - a = x; b = y; + double tmp = ax; + ax = ay; + ay = tmp; } - SET_HIGH_WORD (a, ha); /* a <- |a| */ - SET_HIGH_WORD (b, hb); /* b <- |b| */ - if ((ha - hb) > 0x3c00000) - { - return a + b; - } /* x/y > 2**60 */ - k = 0; - if (__glibc_unlikely (ha > 0x5f300000)) /* a>2**500 */ - { - if (ha >= 0x7ff00000) /* Inf or NaN */ - { - uint32_t low; - w = a + b; /* for sNaN */ - if (issignaling (a) || issignaling (b)) - return w; - GET_LOW_WORD (low, a); - if (((ha & 0xfffff) | low) == 0) - w = a; - GET_LOW_WORD (low, b); - if (((hb ^ 0x7ff00000) | low) == 0) - w = b; - return w; - } - /* scale a and b by 2**-600 */ - ha -= 0x25800000; hb -= 0x25800000; k += 600; - SET_HIGH_WORD (a, ha); - SET_HIGH_WORD (b, hb); - } - if (__builtin_expect (hb < 0x23d00000, 0)) /* b < 2**-450 */ + + /* Widely varying operands. The DBL_MIN_THRESHOLD check is used to avoid + a spurious underflow from the multiplication. */ + if (ax >= DBL_MIN_THRESHOLD && ay <= ax * SQRT_EPS_DIV_2) + return (ay == 0.0) ? ax : math_narrow_eval (ax + DBL_TRUE_MIN); + + double scale = SCALE; + if (ax > SQRT_DBL_MAX) { - if (hb <= 0x000fffff) /* subnormal b or 0 */ - { - uint32_t low; - GET_LOW_WORD (low, b); - if ((hb | low) == 0) - return a; - t1 = 0; - SET_HIGH_WORD (t1, 0x7fd00000); /* t1=2^1022 */ - b *= t1; - a *= t1; - k -= 1022; - GET_HIGH_WORD (ha, a); - GET_HIGH_WORD (hb, b); - if (hb > ha) - { - t1 = a; - a = b; - b = t1; - j = ha; - ha = hb; - hb = j; - } - } - else /* scale a and b by 2^600 */ - { - ha += 0x25800000; /* a *= 2^600 */ - hb += 0x25800000; /* b *= 2^600 */ - k -= 600; - SET_HIGH_WORD (a, ha); - SET_HIGH_WORD (b, hb); - } + ax *= scale; + ay *= scale; + scale = INV_SCALE; } - /* medium size a and b */ - w = a - b; - if (w > b) + else if (ay < SQRT_DBL_MIN) { - t1 = 0; - SET_HIGH_WORD (t1, ha); - t2 = a - t1; - w = sqrt (t1 * t1 - (b * (-b) - t2 * (a + t1))); + ax /= scale; + ay /= scale; } else + scale = 1.0; + + double h = sqrt (ax * ax + ay * ay); + + double t1, t2; + if (h == 0.0) + return h; + else if (h <= 2.0 * ay) { - a = a + a; - y1 = 0; - SET_HIGH_WORD (y1, hb); - y2 = b - y1; - t1 = 0; - SET_HIGH_WORD (t1, ha + 0x00100000); - t2 = a - t1; - w = sqrt (t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b))); + double delta = h - ay; + t1 = ax * (2.0 * delta - ax); + t2 = (delta - 2.0 * (ax - ay)) * delta; } - if (k != 0) + else { - uint32_t high; - t1 = 1.0; - GET_HIGH_WORD (high, t1); - SET_HIGH_WORD (t1, high + (k << 20)); - w *= t1; - math_check_force_underflow_nonneg (w); - return w; + double delta = h - ax; + t1 = 2.0 * delta * (ax - 2 * ay); + t2 = (4.0 * delta - ay) * ay + delta * delta; } - else - return w; + h -= (t1 + t2) / (2.0 * h); + h = math_narrow_eval (h * scale); + math_check_force_underflow_nonneg (h); + return h; } #ifndef __ieee754_hypot libm_alias_finite (__ieee754_hypot, __hypot) From patchwork Mon Oct 25 11:57:52 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46604 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 7BE5B385843C for ; Mon, 25 Oct 2021 12:02:07 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org 7BE5B385843C DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163327; bh=qMaM/yEcjFMGytPEZ6fLezjYarbULGSiYiE6vk1h7kI=; h=To:Subject:Date:In-Reply-To:References:List-Id:List-Unsubscribe: List-Archive:List-Post:List-Help:List-Subscribe:From:Reply-To: From; b=I2PY+tf6Yr4Ail8eZKqXPowxD83OJuA5kMrtydHzUoLI/HrkbjuhhjXB0Rw0SU2UF QjF4TdwZ6DPfEAYkHJM0WEruKXn0KuPsySE8StDtRRlvQYWsugc7gNtEys24SQ746z kCw78FcPSphl9PbvROHI6oO+O7y3Kotd5MaucHiU= X-Original-To: libc-alpha@sourceware.org Delivered-To: libc-alpha@sourceware.org Received: from mail-ua1-x92e.google.com (mail-ua1-x92e.google.com [IPv6:2607:f8b0:4864:20::92e]) by sourceware.org (Postfix) with ESMTPS id AA6523858413 for ; Mon, 25 Oct 2021 11:58:09 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org AA6523858413 Received: by mail-ua1-x92e.google.com with SMTP id f24so2331853uav.12 for ; Mon, 25 Oct 2021 04:58:09 -0700 (PDT) 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:in-reply-to :references:mime-version:content-transfer-encoding; bh=qMaM/yEcjFMGytPEZ6fLezjYarbULGSiYiE6vk1h7kI=; b=W64CI04Fhit344fuLO2kUernlEiztr6pYfe6YXQMRbEUsK+NjTNZrk+PRFXGFT6YmY MboUc198Yb7ycpqJP39g/IrfTvMO3MB+Kaq1YiDbY5PqLORmosBN2N1Z3i5W4meWsdTp sculUKm5OxJYRjw/j7F2JEdxdBva+OgkkzsnRB33QzxtHD+l2gUN2VFKqF8Tdvd0CmsS BCguO4/tzBLGQd5xlmBNXTlwYpWCXXHZDISnXQu29baBq0vmKId8byQDKzZICat3fOen zMNx1y0y7d6EOSQEwP6UK94nIVWyS352dza51wX5a2X789MWYTRnEkKc2zenAuaAnd1M 5O8g== X-Gm-Message-State: AOAM5320Fg/JiXgYRBGcCEO6CRpLtPEPyiZ+5qBiHTL5cY8fQVq4vxMw D0jGPjmDPvq0r0sPn8zeRPNYLNO6ej0Bdg== X-Google-Smtp-Source: ABdhPJzyAaOby59HC0c83EBx1JQr8SssA1n6xpksrU53QT+Ry6xjFd2fXX7LExWOu1KXR28YAnFUjg== X-Received: by 2002:a9f:21b7:: with SMTP id 52mr14054932uac.9.1635163088938; Mon, 25 Oct 2021 04:58:08 -0700 (PDT) Received: from birita.. ([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.07 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:08 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 5/9] math: Use an improved algorithm for hypotl (ldbl-96) Date: Mon, 25 Oct 2021 08:57:52 -0300 Message-Id: <20211025115756.11767-6-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.2 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_ASCII_DIVIDERS, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" This implementation is based on 'An Improved Algorithm for hypot(a,b)' by Carlos F. Borges [1] using the MyHypot3 with the following changes: - Handle qNaN and sNaN. - Tune the 'widely varying operands' to avoid spurious underflow due the multiplication and fix the return value for upwards rounding mode. - Handle required underflow exception for subnormal results. The main advantage of the new algorithm is its precision. With a random 1e8 input pairs in the range of [LDBL_MIN, LDBL_MAX], glibc current implementation shows around 0.02% results with an error of 1 ulp (23158 results) while the new implementation only shows 0.0001% of total (111). [1] https://arxiv.org/pdf/1904.09481.pdf --- sysdeps/ieee754/ldbl-96/e_hypotl.c | 227 ++++++++++++----------------- 1 file changed, 97 insertions(+), 130 deletions(-) diff --git a/sysdeps/ieee754/ldbl-96/e_hypotl.c b/sysdeps/ieee754/ldbl-96/e_hypotl.c index 44e72353c0..85dcbc894b 100644 --- a/sysdeps/ieee754/ldbl-96/e_hypotl.c +++ b/sysdeps/ieee754/ldbl-96/e_hypotl.c @@ -1,142 +1,109 @@ -/* e_hypotl.c -- long double version of e_hypot.c. - */ +/* Euclidean distance function. Long Double/Binary96 version. + Copyright (C) 2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ + 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. -/* __ieee754_hypotl(x,y) - * - * Method : - * If (assume round-to-nearest) z=x*x+y*y - * has error less than sqrt(2)/2 ulp, than - * sqrt(z) has error less than 1 ulp (exercise). - * - * So, compute sqrt(x*x+y*y) with some care as - * follows to get the error below 1 ulp: - * - * Assume x>y>0; - * (if possible, set rounding to round-to-nearest) - * 1. if x > 2y use - * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y - * where x1 = x with lower 32 bits cleared, x2 = x-x1; else - * 2. if x <= 2y use - * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) - * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, - * y1= y with lower 32 bits chopped, y2 = y-y1. - * - * NOTE: scaling may be necessary if some argument is too - * large or too tiny - * - * Special cases: - * hypot(x,y) is INF if x or y is +INF or -INF; else - * hypot(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypot(x,y) returns sqrt(x^2+y^2) with error less - * than 1 ulps (units in the last place) - */ + 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 + . */ + +/* This implementation is based on 'An Improved Algorithm for hypot(a,b)' by + Carlos F. Borges [1] using the MyHypot3 with the following changes: + + - Handle qNaN and sNaN. + - Tune the 'widely varying operands' to avoid spurious underflow + due the multiplication and fix the return value for upwards + rounding mode. + - Handle required underflow exception for subnormal results. + + [1] https://arxiv.org/pdf/1904.09481.pdf */ #include #include #include #include -long double __ieee754_hypotl(long double x, long double y) +/* sqrt (LDBL_EPSILON / 2.0) */ +#define SQRT_EPS_DIV_2 0x8p-35L +/* DBL_MIN / (sqrt (LDBL_EPSILON / 2.0)) */ +#define LDBL_MIN_THRESHOLD 0x8p-16353L +/* eps (long double) * sqrt (LDBL_MIN) */ +#define SCALE 0x8p-8257L +/* 1 / eps (sqrt (LDBL_MIN) */ +#define INV_SCALE 0x8p+8251L +/* sqrt (LDBL_MAX) */ +#define SQRT_LDBL_MAX 0xb.504f333f9de6484p+8188L +/* sqrt (LDBL_MIN) */ +#define SQRT_LDBL_MIN 0x8p-8194L + +long double +__ieee754_hypotl (long double x, long double y) { - long double a,b,t1,t2,y1,y2,w; - uint32_t j,k,ea,eb; + if ((isinf (x) || isinf (y)) + && !issignaling (x) && !issignaling (y)) + return INFINITY; + if (isnan (x) || isnan (y)) + return x + y; + + long double ax = fabsl (x); + long double ay = fabsl (y); + if (ay > ax) + { + long double tmp = ax; + ax = ay; + ay = tmp; + } + + /* Widely varying operands. The LDBL_MIN_THRESHOLD check is used to avoid + a spurious underflow from the multiplication. */ + if (ax >= LDBL_MIN_THRESHOLD && ay <= ax * SQRT_EPS_DIV_2) + return (ay == 0.0) ? ax : ax + LDBL_TRUE_MIN; + + long double scale = SCALE; + if (ax > SQRT_LDBL_MAX) + { + ax *= scale; + ay *= scale; + scale = INV_SCALE; + } + else if (ay < SQRT_LDBL_MIN) + { + ax /= scale; + ay /= scale; + } + else + scale = 1.0L; + + long double h = sqrtl (ax * ax + ay * ay); - GET_LDOUBLE_EXP(ea,x); - ea &= 0x7fff; - GET_LDOUBLE_EXP(eb,y); - eb &= 0x7fff; - if(eb > ea) {a=y;b=x;j=ea; ea=eb;eb=j;} else {a=x;b=y;} - SET_LDOUBLE_EXP(a,ea); /* a <- |a| */ - SET_LDOUBLE_EXP(b,eb); /* b <- |b| */ - if((ea-eb)>0x46) {return a+b;} /* x/y > 2**70 */ - k=0; - if(__builtin_expect(ea > 0x5f3f,0)) { /* a>2**8000 */ - if(ea == 0x7fff) { /* Inf or NaN */ - uint32_t exp __attribute__ ((unused)); - uint32_t high,low; - w = a+b; /* for sNaN */ - if (issignaling (a) || issignaling (b)) - return w; - GET_LDOUBLE_WORDS(exp,high,low,a); - if(((high&0x7fffffff)|low)==0) w = a; - GET_LDOUBLE_WORDS(exp,high,low,b); - if(((eb^0x7fff)|(high&0x7fffffff)|low)==0) w = b; - return w; - } - /* scale a and b by 2**-9600 */ - ea -= 0x2580; eb -= 0x2580; k += 9600; - SET_LDOUBLE_EXP(a,ea); - SET_LDOUBLE_EXP(b,eb); - } - if(__builtin_expect(eb < 0x20bf, 0)) { /* b < 2**-8000 */ - if(eb == 0) { /* subnormal b or 0 */ - uint32_t exp __attribute__ ((unused)); - uint32_t high,low; - GET_LDOUBLE_WORDS(exp,high,low,b); - if((high|low)==0) return a; - SET_LDOUBLE_WORDS(t1, 0x7ffd, 0x80000000, 0); /* t1=2^16382 */ - b *= t1; - a *= t1; - k -= 16382; - GET_LDOUBLE_EXP (ea, a); - GET_LDOUBLE_EXP (eb, b); - if (eb > ea) - { - t1 = a; - a = b; - b = t1; - j = ea; - ea = eb; - eb = j; - } - } else { /* scale a and b by 2^9600 */ - ea += 0x2580; /* a *= 2^9600 */ - eb += 0x2580; /* b *= 2^9600 */ - k -= 9600; - SET_LDOUBLE_EXP(a,ea); - SET_LDOUBLE_EXP(b,eb); - } - } - /* medium size a and b */ - w = a-b; - if (w>b) { - uint32_t high; - GET_LDOUBLE_MSW(high,a); - SET_LDOUBLE_WORDS(t1,ea,high,0); - t2 = a-t1; - w = sqrtl(t1*t1-(b*(-b)-t2*(a+t1))); - } else { - uint32_t high; - GET_LDOUBLE_MSW(high,b); - a = a+a; - SET_LDOUBLE_WORDS(y1,eb,high,0); - y2 = b - y1; - GET_LDOUBLE_MSW(high,a); - SET_LDOUBLE_WORDS(t1,ea+1,high,0); - t2 = a - t1; - w = sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b))); - } - if(k!=0) { - uint32_t exp; - t1 = 1.0; - GET_LDOUBLE_EXP(exp,t1); - SET_LDOUBLE_EXP(t1,exp+k); - w *= t1; - math_check_force_underflow_nonneg (w); - return w; - } else return w; + long double t1; + long double t2; + if (h == 0.0L) + return h; + if (h <= 2.0L * ay) + { + long double delta = h - ay; + t1 = ax * (2.0L * delta - ax); + t2 = (delta - 2.0L * (ax - ay)) * delta; + } + else + { + long double delta = h - ax; + t1 = 2.0L * delta * (ax - 2.0L * ay); + t2 = (4.0L * delta - ay) * ay + delta * delta; + } + h -= (t1 + t2) / (2.0L * h); + h *= scale; + math_check_force_underflow_nonneg (h); + return h; } libm_alias_finite (__ieee754_hypotl, __hypotl) From patchwork Mon Oct 25 11:57:53 2021 Content-Type: text/plain; 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([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.09 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:09 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 6/9] math: Use an improved algorithm for hypotl (ldbl-128) Date: Mon, 25 Oct 2021 08:57:53 -0300 Message-Id: <20211025115756.11767-7-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.3 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_ASCII_DIVIDERS, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" This implementation is based on 'An Improved Algorithm for hypot(a,b)' by Carlos F. Borges [1] using the MyHypot3 with the following changes: - Handle qNaN and sNaN. - Tune the 'widely varying operands' to avoid spurious underflow due the multiplication and fix the return value for upwards rounding mode. - Handle required underflow exception for subnormal results. The main advantage of the new algorithm is its precision. With a random 1e9 input pairs in the range of [LDBL_MIN, LDBL_MAX], glibc current implementation shows around 0.05% results with an error of 1 ulp (453266 results) while the new implementation only shows 0.0001% of total (1280). Checked on aarch64-linux-gnu and x86_64-linux-gnu. [1] https://arxiv.org/pdf/1904.09481.pdf --- sysdeps/ieee754/ldbl-128/e_hypotl.c | 222 ++++++++++++---------------- 1 file changed, 95 insertions(+), 127 deletions(-) diff --git a/sysdeps/ieee754/ldbl-128/e_hypotl.c b/sysdeps/ieee754/ldbl-128/e_hypotl.c index cd4fdbc4a6..a27eab0470 100644 --- a/sysdeps/ieee754/ldbl-128/e_hypotl.c +++ b/sysdeps/ieee754/ldbl-128/e_hypotl.c @@ -1,141 +1,109 @@ -/* e_hypotl.c -- long double version of e_hypot.c. - */ +/* Euclidean distance function. Long Double/Binary128 version. + Copyright (C) 2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ + 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. -/* __ieee754_hypotl(x,y) - * - * Method : - * If (assume round-to-nearest) z=x*x+y*y - * has error less than sqrtl(2)/2 ulp, than - * sqrtl(z) has error less than 1 ulp (exercise). - * - * So, compute sqrtl(x*x+y*y) with some care as - * follows to get the error below 1 ulp: - * - * Assume x>y>0; - * (if possible, set rounding to round-to-nearest) - * 1. if x > 2y use - * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y - * where x1 = x with lower 64 bits cleared, x2 = x-x1; else - * 2. if x <= 2y use - * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) - * where t1 = 2x with lower 64 bits cleared, t2 = 2x-t1, - * y1= y with lower 64 bits chopped, y2 = y-y1. - * - * NOTE: scaling may be necessary if some argument is too - * large or too tiny - * - * Special cases: - * hypotl(x,y) is INF if x or y is +INF or -INF; else - * hypotl(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypotl(x,y) returns sqrtl(x^2+y^2) with error less - * than 1 ulps (units in the last place) - */ + 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 + . */ + +/* This implementation is based on 'An Improved Algorithm for hypot(a,b)' by + Carlos F. Borges [1] using the MyHypot3 with the following changes: + + - Handle qNaN and sNaN. + - Tune the 'widely varying operands' to avoid spurious underflow + due the multiplication and fix the return value for upwards + rounding mode. + - Handle required underflow exception for subnormal results. + + [1] https://arxiv.org/pdf/1904.09481.pdf */ #include #include #include #include +/* sqrt (LDBL_EPSILON / 2.0) */ +#define SQRT_EPS_DIV_2 L(0x1.6a09e667f3bcc908b2fb1366ea95p-57) +/* DBL_MIN / (sqrt (LDBL_EPSILON / 2.0)) */ +#define LDBL_MIN_THRESHOLD L(0x1.6a09e667f3bcc908b2fb1366ea96p-16326) +/* eps (long double) *(sqrt (LDBL_MIN) */ +#define SCALE L(0x1p-8303) +/* 1 / eps (sqrt (LDBL_MIN) */ +#define INV_SCALE L(0x1p+8303) +/* sqrt (LDBL_MAX) */ +#define SQRT_LDBL_MAX L(0x1.6a09e667f3bcc908b2fb1366ea95p+8191) +/* sqrt (LDBL_MIN) */ +#define SQRT_LDBL_MIN L(0x1p-8191) + _Float128 __ieee754_hypotl(_Float128 x, _Float128 y) { - _Float128 a,b,t1,t2,y1,y2,w; - int64_t j,k,ha,hb; + if ((isinf (x) || isinf (y)) + && !issignaling (x) && !issignaling (y)) + return INFINITY; + if (isnan (x) || isnan (y)) + return x + y; + + _Float128 ax = fabsl (x); + _Float128 ay = fabsl (y); + if (ay > ax) + { + _Float128 tmp = ax; + ax = ay; + ay = tmp; + } + + /* Widely varying operands. The DBL_MIN_THRESHOLD check is used to avoid + an spurious underflow from the multiplication. */ + if (ax >= LDBL_MIN_THRESHOLD && ay <= ax * SQRT_EPS_DIV_2) + return (ay == 0.0) ? ax : ax + LDBL_TRUE_MIN; + + _Float128 scale = SCALE; + if (ax > SQRT_LDBL_MAX) + { + ax *= scale; + ay *= scale; + scale = INV_SCALE; + } + else if (ay < SQRT_LDBL_MIN) + { + ax /= scale; + ay /= scale; + } + else + scale = 1.0; + + _Float128 h = sqrtl (ax * ax + ay * ay); - GET_LDOUBLE_MSW64(ha,x); - ha &= 0x7fffffffffffffffLL; - GET_LDOUBLE_MSW64(hb,y); - hb &= 0x7fffffffffffffffLL; - if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} - SET_LDOUBLE_MSW64(a,ha); /* a <- |a| */ - SET_LDOUBLE_MSW64(b,hb); /* b <- |b| */ - if((ha-hb)>0x78000000000000LL) {return a+b;} /* x/y > 2**120 */ - k=0; - if(ha > 0x5f3f000000000000LL) { /* a>2**8000 */ - if(ha >= 0x7fff000000000000LL) { /* Inf or NaN */ - uint64_t low; - w = a+b; /* for sNaN */ - if (issignaling (a) || issignaling (b)) - return w; - GET_LDOUBLE_LSW64(low,a); - if(((ha&0xffffffffffffLL)|low)==0) w = a; - GET_LDOUBLE_LSW64(low,b); - if(((hb^0x7fff000000000000LL)|low)==0) w = b; - return w; - } - /* scale a and b by 2**-9600 */ - ha -= 0x2580000000000000LL; - hb -= 0x2580000000000000LL; k += 9600; - SET_LDOUBLE_MSW64(a,ha); - SET_LDOUBLE_MSW64(b,hb); - } - if(hb < 0x20bf000000000000LL) { /* b < 2**-8000 */ - if(hb <= 0x0000ffffffffffffLL) { /* subnormal b or 0 */ - uint64_t low; - GET_LDOUBLE_LSW64(low,b); - if((hb|low)==0) return a; - t1=0; - SET_LDOUBLE_MSW64(t1,0x7ffd000000000000LL); /* t1=2^16382 */ - b *= t1; - a *= t1; - k -= 16382; - GET_LDOUBLE_MSW64 (ha, a); - GET_LDOUBLE_MSW64 (hb, b); - if (hb > ha) - { - t1 = a; - a = b; - b = t1; - j = ha; - ha = hb; - hb = j; - } - } else { /* scale a and b by 2^9600 */ - ha += 0x2580000000000000LL; /* a *= 2^9600 */ - hb += 0x2580000000000000LL; /* b *= 2^9600 */ - k -= 9600; - SET_LDOUBLE_MSW64(a,ha); - SET_LDOUBLE_MSW64(b,hb); - } - } - /* medium size a and b */ - w = a-b; - if (w>b) { - t1 = 0; - SET_LDOUBLE_MSW64(t1,ha); - t2 = a-t1; - w = sqrtl(t1*t1-(b*(-b)-t2*(a+t1))); - } else { - a = a+a; - y1 = 0; - SET_LDOUBLE_MSW64(y1,hb); - y2 = b - y1; - t1 = 0; - SET_LDOUBLE_MSW64(t1,ha+0x0001000000000000LL); - t2 = a - t1; - w = sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b))); - } - if(k!=0) { - uint64_t high; - t1 = 1; - GET_LDOUBLE_MSW64(high,t1); - SET_LDOUBLE_MSW64(t1,high+(k<<48)); - w *= t1; - math_check_force_underflow_nonneg (w); - return w; - } else return w; + _Float128 t1; + _Float128 t2; + if (h == 0.0) + return h; + if (h <= 2.0 * ay) + { + _Float128 delta = h - ay; + t1 = ax * (2.0 * delta - ax); + t2 = (delta - 2.0 * (ax - ay)) * delta; + } + else + { + _Float128 delta = h - ax; + t1 = 2.0 * delta * (ax - 2 * ay); + t2 = (4.0 * delta - ay) * ay + delta * delta; + } + h -= (t1 + t2) / (2.0 * h); + h *= scale; + math_check_force_underflow_nonneg (h); + return h; } libm_alias_finite (__ieee754_hypotl, __hypotl) From patchwork Mon Oct 25 11:57:54 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46607 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 4360E385843C for ; 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([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.10 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:11 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 7/9] math: Remove powerpc e_hypot Date: Mon, 25 Oct 2021 08:57:54 -0300 Message-Id: <20211025115756.11767-8-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.8 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TVD_SUBJ_WIPE_DEBT, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" The powerpc64 does show a big difference (which is mitigated slightly by the last path): power9 master: "hypot": { "workload-random": { "duration": 5.35798e+08, "iterations": 4e+07, "reciprocal-throughput": 13.0581, "latency": 13.7318, "max-throughput": 7.6581e+07, "min-throughput": 7.28235e+07 } } power9 patched: "hypot": { "workload-random": { "duration": 5.40787e+08, "iterations": 2.6e+07, "reciprocal-throughput": 18.5395, "latency": 23.0595, "max-throughput": 5.39388e+07, "min-throughput": 4.33661e+07 } } power8 master: "hypot": { "workload-random": { "duration": 5.27133e+08, "iterations": 3.2e+07, "reciprocal-throughput": 15.8765, "latency": 17.0693, "max-throughput": 6.29863e+07, "min-throughput": 5.85846e+07 } } power8 patched: "hypot": { "workload-random": { "duration": 5.32203e+08, "iterations": 2.2e+07, "reciprocal-throughput": 22.6077, "latency": 25.7745, "max-throughput": 4.42328e+07, "min-throughput": 3.87981e+07 } } Checked on powerpc64-linux-gnu (power8) and powerpc64le-linux-gnu (power9). --- sysdeps/powerpc/fpu/e_hypot.c | 87 ------------------- sysdeps/powerpc/fpu/e_hypotf.c | 78 ----------------- .../powerpc32/power4/fpu/multiarch/Makefile | 5 +- .../power4/fpu/multiarch/e_hypot-power7.c | 23 ----- .../power4/fpu/multiarch/e_hypot-ppc32.c | 23 ----- .../powerpc32/power4/fpu/multiarch/e_hypot.c | 33 ------- .../power4/fpu/multiarch/e_hypotf-power7.c | 23 ----- .../power4/fpu/multiarch/e_hypotf-ppc32.c | 23 ----- .../powerpc32/power4/fpu/multiarch/e_hypotf.c | 33 ------- 9 files changed, 1 insertion(+), 327 deletions(-) delete mode 100644 sysdeps/powerpc/fpu/e_hypot.c delete mode 100644 sysdeps/powerpc/fpu/e_hypotf.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-power7.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-ppc32.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-power7.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-ppc32.c delete mode 100644 sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf.c diff --git a/sysdeps/powerpc/fpu/e_hypot.c b/sysdeps/powerpc/fpu/e_hypot.c deleted file mode 100644 index f96c589bbd..0000000000 --- a/sysdeps/powerpc/fpu/e_hypot.c +++ /dev/null @@ -1,87 +0,0 @@ -/* Pythagorean addition using doubles - Copyright (C) 2011-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Library General Public License as - published by the Free Software Foundation; either version 2 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 - Library General Public License for more details. - - You should have received a copy of the GNU Library General Public - License along with the GNU C Library; see the file COPYING.LIB. If - not, see . */ - -#include -#include -#include -#include -#include - -/* __ieee754_hypot(x,y) - * - * This a FP only version without any FP->INT conversion. - * It is similar to default C version, making appropriates - * overflow and underflows checks as well scaling when it - * is needed. - */ - -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); - - 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 <= 0x1.fffffffffffffp+963 && x > (y * 0x1p+60)) - return x + y; - - if (x > 0x1p+500) - { - x *= 0x1p-600; - y *= 0x1p-600; - return sqrt (x * x + y * y) / 0x1p-600; - } - if (y < 0x1p-500) - { - if (y <= 0x0.fffffffffffffp-1022) - { - 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 *= 0x1p+600; - y *= 0x1p+600; - return sqrt (x * x + y * y) / 0x1p+600; - } - } - return sqrt (x * x + y * y); -} -#ifndef __ieee754_hypot -libm_alias_finite (__ieee754_hypot, __hypot) -#endif diff --git a/sysdeps/powerpc/fpu/e_hypotf.c b/sysdeps/powerpc/fpu/e_hypotf.c deleted file mode 100644 index fa201dda51..0000000000 --- a/sysdeps/powerpc/fpu/e_hypotf.c +++ /dev/null @@ -1,78 +0,0 @@ -/* Pythagorean addition using floats - Copyright (C) 2011-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Library General Public License as - published by the Free Software Foundation; either version 2 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 - Library General Public License for more details. - - You should have received a copy of the GNU Library General Public - License along with the GNU C Library; see the file COPYING.LIB. If - not, see . */ - -#include -#include -#include -#include - -/* __ieee754_hypotf(x,y) - - This a FP only version without any FP->INT conversion. - It is similar to default C version, making appropriates - overflow and underflows checks as using double precision - instead of scaling. */ - -#ifdef _ARCH_PWR7 -/* POWER7 isinf and isnan optimizations are fast. */ -# define TEST_INF_NAN(x, y) \ - if ((isinff(x) || isinff(y)) \ - && !issignaling (x) && !issignaling (y)) \ - return INFINITY; \ - if (isnanf(x) || isnanf(y)) \ - return x + y; -# else -/* For POWER6 and below isinf/isnan triggers LHS and PLT calls are - * costly (especially for POWER6). */ -# define GET_TWO_FLOAT_WORD(f1,f2,i1,i2) \ - do { \ - ieee_float_shape_type gf_u1; \ - ieee_float_shape_type gf_u2; \ - gf_u1.value = (f1); \ - gf_u2.value = (f2); \ - (i1) = gf_u1.word & 0x7fffffff; \ - (i2) = gf_u2.word & 0x7fffffff; \ - } while (0) - -# define TEST_INF_NAN(x, y) \ - do { \ - uint32_t hx, hy; \ - GET_TWO_FLOAT_WORD(x, y, hx, hy); \ - if (hy > hx) { \ - uint32_t ht = hx; hx = hy; hy = ht; \ - } \ - if (hx >= 0x7f800000) { \ - if ((hx == 0x7f800000 || hy == 0x7f800000) \ - && !issignaling (x) && !issignaling (y)) \ - return INFINITY; \ - return x + y; \ - } \ - } while (0) -#endif - - -float -__ieee754_hypotf (float x, float y) -{ - TEST_INF_NAN (x, y); - - return sqrt ((double) x * x + (double) y * y); -} -#ifndef __ieee754_hypotf -libm_alias_finite (__ieee754_hypotf, __hypotf) -#endif diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/Makefile b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/Makefile index 60f2c95532..1de0f9b350 100644 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/Makefile +++ b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/Makefile @@ -15,8 +15,7 @@ libm-sysdep_routines += s_llrintf-power6 s_llrintf-ppc32 s_llrint-power6 \ s_lrint-ppc32 s_modf-power5+ s_modf-ppc32 \ s_modff-power5+ s_modff-ppc32 s_logbl-power7 \ s_logbl-ppc32 s_logb-power7 s_logb-ppc32 \ - s_logbf-power7 s_logbf-ppc32 e_hypot-power7 \ - e_hypot-ppc32 e_hypotf-power7 e_hypotf-ppc32 + s_logbf-power7 s_logbf-ppc32 CFLAGS-s_llrintf-power6.c += -mcpu=power6 CFLAGS-s_llrintf-ppc32.c += -mcpu=power4 @@ -35,8 +34,6 @@ CFLAGS-s_modff-power5+.c = -mcpu=power5+ CFLAGS-s_logbl-power7.c = -mcpu=power7 CFLAGS-s_logb-power7.c = -mcpu=power7 CFLAGS-s_logbf-power7.c = -mcpu=power7 -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/powerpc32/power4/fpu/multiarch/e_hypot-power7.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-power7.c deleted file mode 100644 index 382b4a0b27..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-power7.c +++ /dev/null @@ -1,23 +0,0 @@ -/* __ieee_hypot() POWER7 version. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#define __ieee754_hypot __ieee754_hypot_power7 - -#include diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-ppc32.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-ppc32.c deleted file mode 100644 index abb14d5469..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot-ppc32.c +++ /dev/null @@ -1,23 +0,0 @@ -/* __ieee_hypot() PowerPC32 version. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#define __ieee754_hypot __ieee754_hypot_ppc32 - -#include diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot.c deleted file mode 100644 index a16efa350c..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypot.c +++ /dev/null @@ -1,33 +0,0 @@ -/* Multiple versions of ieee754_hypot. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include -#include -#include "init-arch.h" - -extern __typeof (__ieee754_hypot) __ieee754_hypot_ppc32 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_ppc32); - -libm_alias_finite (__ieee754_hypot, __hypot) diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-power7.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-power7.c deleted file mode 100644 index f8a26ff22f..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-power7.c +++ /dev/null @@ -1,23 +0,0 @@ -/* __ieee754_hypot POWER7 version. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#define __ieee754_hypotf __ieee754_hypotf_power7 - -#include diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-ppc32.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-ppc32.c deleted file mode 100644 index b13f8c9db2..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf-ppc32.c +++ /dev/null @@ -1,23 +0,0 @@ -/* __ieee_hypot() PowerPC32 version. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include - -#define __ieee754_hypotf __ieee754_hypotf_ppc32 - -#include diff --git a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf.c b/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf.c deleted file mode 100644 index 1e72605db8..0000000000 --- a/sysdeps/powerpc/powerpc32/power4/fpu/multiarch/e_hypotf.c +++ /dev/null @@ -1,33 +0,0 @@ -/* Multiple versions of ieee754_hypotf. - Copyright (C) 2013-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include -#include -#include "init-arch.h" - -extern __typeof (__ieee754_hypotf) __ieee754_hypotf_ppc32 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_ppc32); - -libm_alias_finite (__ieee754_hypotf, __hypotf) From patchwork Mon Oct 25 11:57:55 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46606 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 75C84385843A for ; Mon, 25 Oct 2021 12:03:42 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org 75C84385843A DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163422; bh=p0z6MDKLLtB00RumcS33yBSkZRVF9GiD0pKRseg1XX0=; h=To:Subject:Date:In-Reply-To:References:List-Id:List-Unsubscribe: List-Archive:List-Post:List-Help:List-Subscribe:From:Reply-To: From; b=WyvxkiEa2Tsc4u7iWJjw4RYsWEx5SPnC3rKwWuHxwHgVC+MaWIyVXC0X6Z4V1DSbX gwMLARHUszaE/pCMMrSSOjfkx1Y0B/I7cRdxqpqhFvIEAavHZMUBr2cGaAOZZWAQY2 an7A8+u/UVzz+dHMWHGx8yL8eYd5h7pMASZ+sNFM= X-Original-To: libc-alpha@sourceware.org Delivered-To: libc-alpha@sourceware.org Received: from mail-ua1-x931.google.com (mail-ua1-x931.google.com [IPv6:2607:f8b0:4864:20::931]) by sourceware.org (Postfix) with ESMTPS id DB63E3858425 for ; Mon, 25 Oct 2021 11:58:12 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org DB63E3858425 Received: by mail-ua1-x931.google.com with SMTP id q13so21524023uaq.2 for ; Mon, 25 Oct 2021 04:58:12 -0700 (PDT) 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:in-reply-to :references:mime-version:content-transfer-encoding; bh=p0z6MDKLLtB00RumcS33yBSkZRVF9GiD0pKRseg1XX0=; b=NG116azoQ2J+G1HWOnXcSMowA+09Ofu7HIYLkFbV7R2iVyTOrqIznAKa54UsULhtNE u6bPDTjqzEjYEGh8qtxSFYnmOYVL5IK6he5x58xXk7YzlCnv2ULWm5VTb6/sdc7t5q70 hCPp2CQtu6OGCs54OqB19/TI5uleqNIG3uHPb5UfIya0miiPV9DNOBsNJ+ThHmsvVi3S ifIaJZBKsuOwpp/7N6Gv3Fz2MTl01SzBDVR5tp4nCXf1ph2cwnPgbRxw34e6otl79QYW xpo1Dguq8Zk4JGfYHmOFH8Dka7Jt0xgsoLHOn0mrV1XTQ+kiJEGdiW+Cxi1w+miFdEpJ IlCg== X-Gm-Message-State: AOAM531DLS511U0KZYpM75sznW5CjllONYCbnOkuMrvPXLrlCEHWMlGY NvCb0supEy+eXDGhatjJ3TriDp6gOSA= X-Google-Smtp-Source: ABdhPJzNLzoDtrazJbPYp4vkaUl3m6c1YtSkE4JJc2fvsAhNBrI7ekf+LDTmVG2V16MTv5b++c+I0Q== X-Received: by 2002:ab0:45b1:: with SMTP id u46mr13900114uau.103.1635163092320; Mon, 25 Oct 2021 04:58:12 -0700 (PDT) Received: from birita.. ([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.11 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:12 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 8/9] i386: Move hypot implementation to C Date: Mon, 25 Oct 2021 08:57:55 -0300 Message-Id: <20211025115756.11767-9-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.7 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, KAM_SHORT, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" The generic hypotf is slight slower, mostly due the tricks the assembly does to optimize the isinf/isnan/issignaling. The generic hypot is way slower, since the optimized implementation uses the i386 default excessive precision to issue the operation directly. A similar implementation is provided instead of using the generic implementation: Checked on i686-linux-gnu. --- sysdeps/i386/fpu/e_hypot.S | 75 ------------------------------------- sysdeps/i386/fpu/e_hypot.c | 44 ++++++++++++++++++++++ sysdeps/i386/fpu/e_hypotf.S | 64 ------------------------------- 3 files changed, 44 insertions(+), 139 deletions(-) delete mode 100644 sysdeps/i386/fpu/e_hypot.S create mode 100644 sysdeps/i386/fpu/e_hypot.c delete mode 100644 sysdeps/i386/fpu/e_hypotf.S diff --git a/sysdeps/i386/fpu/e_hypot.S b/sysdeps/i386/fpu/e_hypot.S deleted file mode 100644 index f2c956b77a..0000000000 --- a/sysdeps/i386/fpu/e_hypot.S +++ /dev/null @@ -1,75 +0,0 @@ -/* Compute the hypothenuse of X and Y. - Copyright (C) 1998-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include - -DEFINE_DBL_MIN - -#ifdef PIC -# define MO(op) op##@GOTOFF(%edx) -#else -# define MO(op) op -#endif - - .text -ENTRY(__ieee754_hypot) -#ifdef PIC - LOAD_PIC_REG (dx) -#endif - fldl 4(%esp) // x - fxam - fnstsw - fldl 12(%esp) // y : x - movb %ah, %ch - fxam - fnstsw - movb %ah, %al - orb %ch, %ah - sahf - jc 1f - fmul %st(0) // y * y : x - fxch // x : y * y - fmul %st(0) // x * x : y * y - faddp // x * x + y * y - fsqrt - DBL_NARROW_EVAL_UFLOW_NONNEG -2: ret - - // We have to test whether any of the parameters is Inf. - // In this case the result is infinity. -1: andb $0x45, %al - cmpb $5, %al - je 3f // jump if y is Inf - andb $0x45, %ch - cmpb $5, %ch - jne 4f // jump if x is not Inf - fxch -3: fstp %st(1) - fabs - jmp 2b - -4: testb $1, %al - jnz 5f // y is NaN - fxch -5: fstp %st(1) - jmp 2b - -END(__ieee754_hypot) -libm_alias_finite (__ieee754_hypot, __hypot) diff --git a/sysdeps/i386/fpu/e_hypot.c b/sysdeps/i386/fpu/e_hypot.c new file mode 100644 index 0000000000..d3473f2a6a --- /dev/null +++ b/sysdeps/i386/fpu/e_hypot.c @@ -0,0 +1,44 @@ +/* Euclidean distance function. Double/Binary64 i386 version. + Copyright (C) 2021 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include +#include +#include +#include +#include +#include + +/* The i386 allows to use the default excess of precision to optimize the + hypot implementation, since internal multiplication and sqrt is carried + with 80-bit FP type. */ +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; + + long double lx = x; + long double ly = y; + double r = math_narrow_eval (sqrtl (lx * lx + ly * ly)); + math_check_force_underflow_nonneg (r); + return r; +} +libm_alias_finite (__ieee754_hypot, __hypot) diff --git a/sysdeps/i386/fpu/e_hypotf.S b/sysdeps/i386/fpu/e_hypotf.S deleted file mode 100644 index cec5d15403..0000000000 --- a/sysdeps/i386/fpu/e_hypotf.S +++ /dev/null @@ -1,64 +0,0 @@ -/* Compute the hypothenuse of X and Y. - Copyright (C) 1998-2021 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - . */ - -#include -#include -#include - - .text -ENTRY(__ieee754_hypotf) - flds 4(%esp) // x - fxam - fnstsw - flds 8(%esp) // y : x - movb %ah, %ch - fxam - fnstsw - movb %ah, %al - orb %ch, %ah - sahf - jc 1f - fmul %st(0) // y * y : x - fxch // x : y * y - fmul %st(0) // x * x : y * y - faddp // x * x + y * y - fsqrt - FLT_NARROW_EVAL -2: ret - - // We have to test whether any of the parameters is Inf. - // In this case the result is infinity. -1: andb $0x45, %al - cmpb $5, %al - je 3f // jump if y is Inf - andb $0x45, %ch - cmpb $5, %ch - jne 4f // jump if x is not Inf - fxch -3: fstp %st(1) - fabs - jmp 2b - -4: testb $1, %al - jnz 5f // y is NaN - fxch -5: fstp %st(1) - jmp 2b - -END(__ieee754_hypotf) -libm_alias_finite (__ieee754_hypotf, __hypotf) From patchwork Mon Oct 25 11:57:56 2021 Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit X-Patchwork-Submitter: Adhemerval Zanella Netto X-Patchwork-Id: 46608 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 BAF41385841B for ; Mon, 25 Oct 2021 12:05:06 +0000 (GMT) DKIM-Filter: OpenDKIM Filter v2.11.0 sourceware.org BAF41385841B DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=sourceware.org; s=default; t=1635163506; bh=+qrr1Km4gMLFA91LPpPSxemnkkSu67SH4IB677i7z7U=; h=To:Subject:Date:In-Reply-To:References:List-Id:List-Unsubscribe: List-Archive:List-Post:List-Help:List-Subscribe:From:Reply-To: From; b=uT89Bj/FcvRbgcOHlUKEjryya0YN6dJSeqUMm6p6GeOj3LvhWTznc2gNe3DxvwLcu iGrVCg73oubwYXCsQFn+qR7MuPc2ysozHyRLaJa502xmkJtuK1piunHJ1WGxmtZQOy ncT3HWke7Y5QriILpIWpV2iAcpjx8nC0lc3KZGbU= X-Original-To: libc-alpha@sourceware.org Delivered-To: libc-alpha@sourceware.org Received: from mail-ua1-x931.google.com (mail-ua1-x931.google.com [IPv6:2607:f8b0:4864:20::931]) by sourceware.org (Postfix) with ESMTPS id 5CEEA385841F for ; Mon, 25 Oct 2021 11:58:14 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org 5CEEA385841F Received: by mail-ua1-x931.google.com with SMTP id p23so8694192uaa.6 for ; Mon, 25 Oct 2021 04:58:14 -0700 (PDT) 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:in-reply-to :references:mime-version:content-transfer-encoding; bh=+qrr1Km4gMLFA91LPpPSxemnkkSu67SH4IB677i7z7U=; b=t0A93QbC0xqrpC/se/V4AOytS3fOQUYT/fQsgHxulOsdnhqwOUYsFp7xxJO7ZM+74x BvRqFdqLPOL44cdOP7aXQLqmDST58ETZ1KrfUmHE8GkgeC1gWGaS/VWRaofsa08piDir vLQlyxNng4j8C6K8KJni1aJ9Qo+uEo7GJk25JO9kLtWMCI54OZ/a9HoQSFhTd+zPv+Yq tCSVed87nFXo6uiDC+fzHnjtyp/5z9ngEakx5YSvCGik9Yxdzi6RorSX15uhFed/o57c xiaGD7rJV+Q7sgeVeNI8SFqxbUnPyZSnM4joNoHPksLRiQDRp3fqoGGQQGCuzjO7WdZD gpJA== X-Gm-Message-State: AOAM531/aVPknQTd0jCjoZgd42MKhpRd68EAU7BV5CAg+tr585xUqI5D YShFTHCJ/JjLF+Fs5DtvIW5QjtrDvgbh+w== X-Google-Smtp-Source: ABdhPJz9U+yAgLpGjmWEDG+GFyFvqL1cuHGEVlCT865X0LyYGw/rogJZJZB9yiI+uoj5V0IkJlFclQ== X-Received: by 2002:ab0:48ea:: with SMTP id y39mr14129649uac.34.1635163093493; Mon, 25 Oct 2021 04:58:13 -0700 (PDT) Received: from birita.. ([2804:431:c7ca:2654:4c60:ad20:95b6:1d6c]) by smtp.gmail.com with ESMTPSA id k11sm4230490vsh.3.2021.10.25.04.58.12 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 25 Oct 2021 04:58:13 -0700 (PDT) To: libc-alpha@sourceware.org Subject: [PATCH v2 9/9] math: Remove the error handling wrapper from hypot and hypotf Date: Mon, 25 Oct 2021 08:57:56 -0300 Message-Id: <20211025115756.11767-10-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.32.0 In-Reply-To: <20211025115756.11767-1-adhemerval.zanella@linaro.org> References: <20211025115756.11767-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-Spam-Status: No, score=-12.7 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, GIT_PATCH_0, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP 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: Adhemerval Zanella via Libc-alpha From: Adhemerval Zanella Netto Reply-To: Adhemerval Zanella Errors-To: libc-alpha-bounces+patchwork=sourceware.org@sourceware.org Sender: "Libc-alpha" The error handling is moved to sysdeps/ieee754 version with no SVID support. The compatibility symbol versions still use the wrapper with SVID error handling around the new code. There is no new symbol version nor compatibility code on !LIBM_SVID_COMPAT targets (e.g. riscv). Only ia64 is unchanged, since it still uses the arch specific __libm_error_region on its implementation. On x86_64 (Ryzen 5900X) with gcc 10.3.1: * master: "hypot": { "workload-random": { "duration": 3.726e+09, "iterations": 9.6e+07, "reciprocal-throughput": 26.6001, "latency": 51.0249, "max-throughput": 3.75939e+07, "min-throughput": 1.95983e+07 } } *patched: "hypot": { "workload-random": { "duration": 3.7578e+09, "iterations": 1.04e+08, "reciprocal-throughput": 22.3889, "latency": 49.8766, "max-throughput": 4.46651e+07, "min-throughput": 2.00495e+07 } } Checked on x86_64-linux-gnu, i686-linux-gnu, and aarch64-linux-gnu. --- math/Versions | 2 ++ math/w_hypot.c | 8 ++++++ math/w_hypot_compat.c | 13 +++++++--- math/w_hypotf.c | 8 ++++++ math/w_hypotf_compat.c | 6 ++--- sysdeps/i386/fpu/e_hypot.c | 14 +++++++++- sysdeps/ieee754/dbl-64/e_hypot.c | 26 ++++++++++++++++--- sysdeps/ieee754/dbl-64/w_hypot.c | 1 + sysdeps/ieee754/flt-32/e_hypotf.c | 19 +++++++++++--- sysdeps/ieee754/flt-32/w_hypotf.c | 1 + sysdeps/mach/hurd/i386/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/aarch64/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/alpha/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/arm/be/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/arm/le/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/hppa/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/i386/libm.abilist | 2 ++ .../sysv/linux/m68k/coldfire/libm.abilist | 2 ++ .../unix/sysv/linux/m68k/m680x0/libm.abilist | 2 ++ .../sysv/linux/microblaze/be/libm.abilist | 2 ++ .../sysv/linux/microblaze/le/libm.abilist | 2 ++ .../unix/sysv/linux/mips/mips32/libm.abilist | 2 ++ .../unix/sysv/linux/mips/mips64/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/nios2/libm.abilist | 2 ++ .../linux/powerpc/powerpc32/fpu/libm.abilist | 2 ++ .../powerpc/powerpc32/nofpu/libm.abilist | 2 ++ .../linux/powerpc/powerpc64/be/libm.abilist | 2 ++ .../linux/powerpc/powerpc64/le/libm.abilist | 2 ++ .../unix/sysv/linux/s390/s390-32/libm.abilist | 2 ++ .../unix/sysv/linux/s390/s390-64/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/sh/be/libm.abilist | 2 ++ sysdeps/unix/sysv/linux/sh/le/libm.abilist | 2 ++ .../sysv/linux/sparc/sparc32/libm.abilist | 2 ++ .../sysv/linux/sparc/sparc64/libm.abilist | 2 ++ .../unix/sysv/linux/x86_64/64/libm.abilist | 2 ++ .../unix/sysv/linux/x86_64/x32/libm.abilist | 2 ++ 36 files changed, 135 insertions(+), 15 deletions(-) create mode 100644 math/w_hypot.c create mode 100644 math/w_hypotf.c create mode 100644 sysdeps/ieee754/dbl-64/w_hypot.c create mode 100644 sysdeps/ieee754/flt-32/w_hypotf.c diff --git a/math/Versions b/math/Versions index a4b5405ddc..fef7a08c3b 100644 --- a/math/Versions +++ b/math/Versions @@ -628,5 +628,7 @@ libm { fminimum_numf64x; fminimum_numf128; fminimum_magf64x; fminimum_magf128; fminimum_mag_numf64x; fminimum_mag_numf128; + # No SVID compatible error handling. + hypotf; hypot; } } diff --git a/math/w_hypot.c b/math/w_hypot.c new file mode 100644 index 0000000000..66f723a896 --- /dev/null +++ b/math/w_hypot.c @@ -0,0 +1,8 @@ +#include +#undef __USE_WRAPPER_TEMPLATE +#define __USE_WRAPPER_TEMPLATE 1 +#undef declare_mgen_alias +#define declare_mgen_alias(a, b) +#include +versioned_symbol (libm, __hypot, hypot, GLIBC_2_35); +libm_alias_float_other (__hypot, hypot) diff --git a/math/w_hypot_compat.c b/math/w_hypot_compat.c index f07039cc51..ec983a4ab8 100644 --- a/math/w_hypot_compat.c +++ b/math/w_hypot_compat.c @@ -20,9 +20,9 @@ #include -#if LIBM_SVID_COMPAT +#if LIBM_SVID_COMPAT && SHLIB_COMPAT (libm, GLIBC_2_0, GLIBC_2_35) double -__hypot (double x, double y) +__hypot_compat (double x, double y) { double z = __ieee754_hypot(x,y); if(__builtin_expect(!isfinite(z), 0) @@ -31,5 +31,12 @@ __hypot (double x, double y) return z; } -libm_alias_double (__hypot, hypot) +compat_symbol (libm, __hypot_compat, hypot, GLIBC_2_0); +# ifdef NO_LONG_DOUBLE +weak_alias (__hypot_compat, hypotl) +# endif +# ifdef LONG_DOUBLE_COMPAT +LONG_DOUBLE_COMPAT_CHOOSE_libm_hypotl ( + compat_symbol (libm, __hypot_compat, hypotl, FIRST_VERSION_libm_hypotl), ); +# endif #endif diff --git a/math/w_hypotf.c b/math/w_hypotf.c new file mode 100644 index 0000000000..b15a9b06d0 --- /dev/null +++ b/math/w_hypotf.c @@ -0,0 +1,8 @@ +#include +#undef __USE_WRAPPER_TEMPLATE +#define __USE_WRAPPER_TEMPLATE 1 +#undef declare_mgen_alias +#define declare_mgen_alias(a, b) +#include +versioned_symbol (libm, __hypotf, hypotf, GLIBC_2_35); +libm_alias_float_other (__hypotf, hypotf) diff --git a/math/w_hypotf_compat.c b/math/w_hypotf_compat.c index 05898d3420..2bde4553b0 100644 --- a/math/w_hypotf_compat.c +++ b/math/w_hypotf_compat.c @@ -22,9 +22,9 @@ #include -#if LIBM_SVID_COMPAT +#if LIBM_SVID_COMPAT && SHLIB_COMPAT (libm, GLIBC_2_0, GLIBC_2_35) float -__hypotf(float x, float y) +__hypotf_compat (float x, float y) { float z = __ieee754_hypotf(x,y); if(__builtin_expect(!isfinite(z), 0) @@ -34,5 +34,5 @@ __hypotf(float x, float y) return z; } -libm_alias_float (__hypot, hypot) +compat_symbol (libm, __hypotf_compat, hypotf, GLIBC_2_0); #endif diff --git a/sysdeps/i386/fpu/e_hypot.c b/sysdeps/i386/fpu/e_hypot.c index d3473f2a6a..c704f325a9 100644 --- a/sysdeps/i386/fpu/e_hypot.c +++ b/sysdeps/i386/fpu/e_hypot.c @@ -20,14 +20,17 @@ #include #include #include +#include #include +#include #include +#include /* The i386 allows to use the default excess of precision to optimize the hypot implementation, since internal multiplication and sqrt is carried with 80-bit FP type. */ double -__ieee754_hypot (double x, double y) +__hypot (double x, double y) { if ((isinf (x) || isinf (y)) && !issignaling (x) && !issignaling (y)) @@ -39,6 +42,15 @@ __ieee754_hypot (double x, double y) long double ly = y; double r = math_narrow_eval (sqrtl (lx * lx + ly * ly)); math_check_force_underflow_nonneg (r); + if (isinf (r)) + __set_errno (ERANGE); return r; } +strong_alias (__hypot, __ieee754_hypot) +#if LIBM_SVID_COMPAT +versioned_symbol (libm, __hypot, hypot, GLIBC_2_35); libm_alias_finite (__ieee754_hypot, __hypot) +libm_alias_double_other (__hypot, hypot) +#else +libm_alias_double (__hypot, hypot) +#endif diff --git a/sysdeps/ieee754/dbl-64/e_hypot.c b/sysdeps/ieee754/dbl-64/e_hypot.c index 231fb0d70f..d20bc3e365 100644 --- a/sysdeps/ieee754/dbl-64/e_hypot.c +++ b/sysdeps/ieee754/dbl-64/e_hypot.c @@ -32,7 +32,18 @@ #include #include #include +#include #include +#include +#include + +static inline double +handle_errno (double r) +{ + if (isinf (r)) + __set_errno (ERANGE); + return r; +} /* sqrt (DBL_EPSILON / 2.0) */ #define SQRT_EPS_DIV_2 0x1.6a09e667f3bcdp-27 @@ -48,7 +59,7 @@ #define SQRT_DBL_MIN 0x1p-511 double -__ieee754_hypot (double x, double y) +__hypot (double x, double y) { if ((isinf (x) || isinf (y)) && !issignaling (x) && !issignaling (y)) @@ -68,7 +79,9 @@ __ieee754_hypot (double x, double y) /* Widely varying operands. The DBL_MIN_THRESHOLD check is used to avoid a spurious underflow from the multiplication. */ if (ax >= DBL_MIN_THRESHOLD && ay <= ax * SQRT_EPS_DIV_2) - return (ay == 0.0) ? ax : math_narrow_eval (ax + DBL_TRUE_MIN); + return (ay == 0.0) + ? ax + : handle_errno (math_narrow_eval (ax + DBL_TRUE_MIN)); double scale = SCALE; if (ax > SQRT_DBL_MAX) @@ -105,8 +118,13 @@ __ieee754_hypot (double x, double y) h -= (t1 + t2) / (2.0 * h); h = math_narrow_eval (h * scale); math_check_force_underflow_nonneg (h); - return h; + return handle_errno (h); } -#ifndef __ieee754_hypot +strong_alias (__hypot, __ieee754_hypot) libm_alias_finite (__ieee754_hypot, __hypot) +#if LIBM_SVID_COMPAT +versioned_symbol (libm, __hypot, hypot, GLIBC_2_35); +libm_alias_double_other (__hypot, hypot) +#else +libm_alias_double (__hypot, hypot) #endif diff --git a/sysdeps/ieee754/dbl-64/w_hypot.c b/sysdeps/ieee754/dbl-64/w_hypot.c new file mode 100644 index 0000000000..1cc8931700 --- /dev/null +++ b/sysdeps/ieee754/dbl-64/w_hypot.c @@ -0,0 +1 @@ +/* Not needed. */ diff --git a/sysdeps/ieee754/flt-32/e_hypotf.c b/sysdeps/ieee754/flt-32/e_hypotf.c index 6495a91cd4..d73eecca8c 100644 --- a/sysdeps/ieee754/flt-32/e_hypotf.c +++ b/sysdeps/ieee754/flt-32/e_hypotf.c @@ -19,9 +19,12 @@ #include #include #include +#include +#include +#include float -__ieee754_hypotf (float x, float y) +__hypotf (float x, float y) { if ((isinf (x) || isinf (y)) && !issignaling (x) && !issignaling (y)) @@ -29,8 +32,16 @@ __ieee754_hypotf (float x, float y) if (isnan (x) || isnan (y)) return x + y; - return sqrt ((double) x * (double) x + (double) y * (double) y); + float r = sqrt ((double) x * (double) x + (double) y * (double) y); + if (!isfinite (r)) + __set_errno (ERANGE); + return r; } -#ifndef __ieee754_hypotf -libm_alias_finite (__ieee754_hypotf, __hypotf) +strong_alias (__hypotf, __ieee754_hypotf) +#if LIBM_SVID_COMPAT +versioned_symbol (libm, __hypotf, hypotf, GLIBC_2_35); +libm_alias_float_other (__hypot, hypot) +#else +libm_alias_float (__hypot, hypot) #endif +libm_alias_finite (__ieee754_hypotf, __hypotf) diff --git a/sysdeps/ieee754/flt-32/w_hypotf.c b/sysdeps/ieee754/flt-32/w_hypotf.c new file mode 100644 index 0000000000..1cc8931700 --- /dev/null +++ b/sysdeps/ieee754/flt-32/w_hypotf.c @@ -0,0 +1 @@ +/* Not needed. */ diff --git a/sysdeps/mach/hurd/i386/libm.abilist b/sysdeps/mach/hurd/i386/libm.abilist index abf91bd142..8f40ddb150 100644 --- a/sysdeps/mach/hurd/i386/libm.abilist +++ b/sysdeps/mach/hurd/i386/libm.abilist @@ -1179,3 +1179,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist index 1cef7d3db7..c2e3c6453e 100644 --- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist +++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist @@ -1144,3 +1144,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist index 59d51021fa..4f85b6180f 100644 --- a/sysdeps/unix/sysv/linux/alpha/libm.abilist +++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist @@ -1201,6 +1201,8 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/arm/be/libm.abilist b/sysdeps/unix/sysv/linux/arm/be/libm.abilist index 44666ad7cd..36190add84 100644 --- a/sysdeps/unix/sysv/linux/arm/be/libm.abilist +++ b/sysdeps/unix/sysv/linux/arm/be/libm.abilist @@ -531,6 +531,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 _LIB_VERSION D 0x4 GLIBC_2.4 __clog10 F GLIBC_2.4 __clog10f F diff --git a/sysdeps/unix/sysv/linux/arm/le/libm.abilist b/sysdeps/unix/sysv/linux/arm/le/libm.abilist index 44666ad7cd..36190add84 100644 --- a/sysdeps/unix/sysv/linux/arm/le/libm.abilist +++ b/sysdeps/unix/sysv/linux/arm/le/libm.abilist @@ -531,6 +531,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 _LIB_VERSION D 0x4 GLIBC_2.4 __clog10 F GLIBC_2.4 __clog10f F diff --git a/sysdeps/unix/sysv/linux/hppa/libm.abilist b/sysdeps/unix/sysv/linux/hppa/libm.abilist index 35d316a720..b5dd4e851f 100644 --- a/sysdeps/unix/sysv/linux/hppa/libm.abilist +++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist @@ -842,4 +842,6 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 exp2l F diff --git a/sysdeps/unix/sysv/linux/i386/libm.abilist b/sysdeps/unix/sysv/linux/i386/libm.abilist index ef99b3e104..5d89aaa08e 100644 --- a/sysdeps/unix/sysv/linux/i386/libm.abilist +++ b/sysdeps/unix/sysv/linux/i386/libm.abilist @@ -1186,3 +1186,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist index 44666ad7cd..36190add84 100644 --- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist +++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist @@ -531,6 +531,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 _LIB_VERSION D 0x4 GLIBC_2.4 __clog10 F GLIBC_2.4 __clog10f F diff --git a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist index 58316c96ae..e7cd739a54 100644 --- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist +++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist @@ -882,3 +882,5 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist index b5e5da0272..274ecff630 100644 --- a/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist +++ b/sysdeps/unix/sysv/linux/microblaze/be/libm.abilist @@ -843,3 +843,5 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist index b5e5da0272..274ecff630 100644 --- a/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist +++ b/sysdeps/unix/sysv/linux/microblaze/le/libm.abilist @@ -843,3 +843,5 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist index 4113d3170d..08b902118d 100644 --- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist +++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist @@ -842,4 +842,6 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 exp2l F diff --git a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist index 18fe9cc57a..09bb3bd75b 100644 --- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist +++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist @@ -1144,3 +1144,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/nios2/libm.abilist b/sysdeps/unix/sysv/linux/nios2/libm.abilist index 3a2b34ecc2..11abbb5668 100644 --- a/sysdeps/unix/sysv/linux/nios2/libm.abilist +++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist @@ -843,3 +843,5 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist index 740cc8f55b..1688809c36 100644 --- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist @@ -888,6 +888,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist index 16fb30566b..e880cebd78 100644 --- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist @@ -887,6 +887,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist index ad4b98c09a..033385dfc1 100644 --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/be/libm.abilist @@ -881,6 +881,8 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist index 955765051c..7923d428bc 100644 --- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/le/libm.abilist @@ -1316,3 +1316,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist index 1f5bd7754d..9a84163089 100644 --- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist +++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist @@ -1145,6 +1145,8 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist index 0b18481f39..174bde4fa0 100644 --- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist +++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist @@ -1145,6 +1145,8 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/sh/be/libm.abilist b/sysdeps/unix/sysv/linux/sh/be/libm.abilist index f525a9e77e..1e1324d667 100644 --- a/sysdeps/unix/sysv/linux/sh/be/libm.abilist +++ b/sysdeps/unix/sysv/linux/sh/be/libm.abilist @@ -842,4 +842,6 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 exp2l F diff --git a/sysdeps/unix/sysv/linux/sh/le/libm.abilist b/sysdeps/unix/sysv/linux/sh/le/libm.abilist index f525a9e77e..1e1324d667 100644 --- a/sysdeps/unix/sysv/linux/sh/le/libm.abilist +++ b/sysdeps/unix/sysv/linux/sh/le/libm.abilist @@ -842,4 +842,6 @@ GLIBC_2.35 fminimumf64 F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 exp2l F diff --git a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist index 727d1ce707..217e6eff7f 100644 --- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist +++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist @@ -1152,6 +1152,8 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F GLIBC_2.4 __clog10l F GLIBC_2.4 __finitel F GLIBC_2.4 __fpclassifyl F diff --git a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist index 0f57574523..6b53b0c59f 100644 --- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist +++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist @@ -1144,3 +1144,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist index 574789e061..dbefbc3a1a 100644 --- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist +++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist @@ -1177,3 +1177,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F diff --git a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist index 1dc89b304d..8001d0f219 100644 --- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist +++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist @@ -1177,3 +1177,5 @@ GLIBC_2.35 fminimumf64x F GLIBC_2.35 fminimuml F GLIBC_2.35 fsqrt F GLIBC_2.35 fsqrtl F +GLIBC_2.35 hypot F +GLIBC_2.35 hypotf F