From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: from mail-pj1-x102a.google.com (mail-pj1-x102a.google.com [IPv6:2607:f8b0:4864:20::102a]) by sourceware.org (Postfix) with ESMTPS id D7850385AE54 for ; Tue, 12 Jul 2022 18:44:01 +0000 (GMT) DMARC-Filter: OpenDMARC Filter v1.4.1 sourceware.org D7850385AE54 Received: by mail-pj1-x102a.google.com with SMTP id y14-20020a17090a644e00b001ef775f7118so12649567pjm.2 for ; Tue, 12 Jul 2022 11:44:01 -0700 (PDT) X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20210112; h=x-gm-message-state:mime-version:references:in-reply-to:from:date :message-id:subject:to:cc; bh=Pl95cwhDHh/K+OpLMFKhbmmAFn2a2PDaUIaERZ+6ZfY=; b=g8Ep0KuyVHMtcIzFeOnQfKNXlcVXGGx+sQ0nUdU1DZ4C5xPLeUlmCWqY7Hc6dYrUVi 1ETHLrxFAP5fa1kyzct0FvBUoKFuVQ/366g75E6x0CF733x5bfk914So3UYBD2lcPIRA 22I0HWC9/AwZv+GWx+VqG7eGUTxPWqwGyEJx2K9chNNZjWEUpSVMY5BcUsJcHRZSRcLw 2h3rh0E7oEG/1yKARPoWIxLVCHMBbsp+iRmvz/s7msbyF+B30eNdEdvb3gMykwgBXQ8q 6zfzbS9jOH9ktzfSzC6zRR6Mg5EouDqHlCf8L57OJAWaLh6r/mdHYZxudBOcdD1auGgI AehQ== X-Gm-Message-State: AJIora8o1bL9ap8KRiH2roHM74KhJUTqjwPu67DoF19OGhcuZSJgQ5fR COXhMe4+6eIG0r6ZHHC3tBIwWzygnDI6QAC8eFU= X-Google-Smtp-Source: AGRyM1uEUeYPwZLMyBqTr2b/GY9j1Jyg9fy1FOhhOiJ9hDSD8QxnIwQKgY6GgOPSWtOghFx+yp0EfHS/BtR2U2DiwsE= X-Received: by 2002:a17:90b:1e0e:b0:1ef:97f9:dfb5 with SMTP id pg14-20020a17090b1e0e00b001ef97f9dfb5mr5919528pjb.217.1657651440535; Tue, 12 Jul 2022 11:44:00 -0700 (PDT) MIME-Version: 1.0 References: <20220711220730.1968923-1-goldstein.w.n@gmail.com> <20220711223841.2041611-1-goldstein.w.n@gmail.com> In-Reply-To: From: "H.J. Lu" Date: Tue, 12 Jul 2022 11:43:24 -0700 Message-ID: Subject: Re: [PATCH v2] x86: Remove __mmask intrinsics in strstr-avx512.c To: Noah Goldstein Cc: Sunil Pandey , GNU C Library , "Carlos O'Donell" Content-Type: text/plain; charset="UTF-8" X-Spam-Status: No, score=-3024.7 required=5.0 tests=BAYES_00, DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, DKIM_VALID_EF, FREEMAIL_FROM, GIT_PATCH_0, RCVD_IN_DNSWL_NONE, SPF_HELO_NONE, SPF_PASS, TXREP, T_SCC_BODY_TEXT_LINE autolearn=ham autolearn_force=no version=3.4.6 X-Spam-Checker-Version: SpamAssassin 3.4.6 (2021-04-09) 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-List-Received-Date: Tue, 12 Jul 2022 18:44:05 -0000 On Tue, Jul 12, 2022 at 11:41 AM Noah Goldstein wrote: > > On Tue, Jul 12, 2022 at 10:11 AM Noah Goldstein wrote: > > > > On Tue, Jul 12, 2022 at 8:56 AM H.J. Lu wrote: > > > > > > On Mon, Jul 11, 2022 at 7:38 PM Noah Goldstein wrote: > > > > > > > > On Mon, Jul 11, 2022 at 7:26 PM H.J. Lu wrote: > > > > > > > > > > On Mon, Jul 11, 2022 at 4:33 PM Sunil Pandey wrote: > > > > > > > > > > > > On Mon, Jul 11, 2022 at 3:52 PM Noah Goldstein wrote: > > > > > > > > > > > > > > On Mon, Jul 11, 2022 at 3:38 PM Noah Goldstein wrote: > > > > > > > > > > > > > > > > Using standard operators generates and the same code and __mmask > > > > > > > > instrinsics are not available before GCC7. > > > > > > > > > > > > > > > > Removed: > > > > > > > > _cvtmask64_u64 > > > > > > > > _kshiftri_mask64 > > > > > > > > _kand_mask64 > > > > > > > > --- > > > > > > > > sysdeps/x86_64/multiarch/strstr-avx512.c | 16 ++++++++++------ > > > > > > > > 1 file changed, 10 insertions(+), 6 deletions(-) > > > > > > > > > > > > > > > > diff --git a/sysdeps/x86_64/multiarch/strstr-avx512.c b/sysdeps/x86_64/multiarch/strstr-avx512.c > > > > > > > > index 2ab9e96db8..e44c1a05dc 100644 > > > > > > > > --- a/sysdeps/x86_64/multiarch/strstr-avx512.c > > > > > > > > +++ b/sysdeps/x86_64/multiarch/strstr-avx512.c > > > > > > > > @@ -26,6 +26,10 @@ > > > > > > > > #define ZMM_SIZE_IN_BYTES 64 > > > > > > > > #define PAGESIZE 4096 > > > > > > > > > > > > > > > > +#define cvtmask64_u64(...) (uint64_t) (__VA_ARGS__) > > > > > > > > +#define kshiftri_mask64(x, y) ((x) >> (y)) > > > > > > > > +#define kand_mask64(x, y) ((x) & (y)) > > > > > > > > + > > > > > > > > /* > > > > > > > > Returns the index of the first edge within the needle, returns 0 if no edge > > > > > > > > is found. Example: 'ab' is the first edge in 'aaaaaaaaaabaarddg' > > > > > > > > @@ -133,15 +137,15 @@ __strstr_avx512 (const char *haystack, const char *ned) > > > > > > > > __m512i hay0 = _mm512_maskz_loadu_epi8 (loadmask, haystack + hay_index); > > > > > > > > /* Search for NULL and compare only till null char */ > > > > > > > > uint64_t nullmask > > > > > > > > - = _cvtmask64_u64 (_mm512_mask_testn_epi8_mask (loadmask, hay0, hay0)); > > > > > > > > + = cvtmask64_u64 (_mm512_mask_testn_epi8_mask (loadmask, hay0, hay0)); > > > > > > > > uint64_t cmpmask = nullmask ^ (nullmask - ONE_64BIT); > > > > > > > > - cmpmask = cmpmask & _cvtmask64_u64 (loadmask); > > > > > > > > + cmpmask = cmpmask & cvtmask64_u64 (loadmask); > > > > > > > > /* Search for the 2 charaters of needle */ > > > > > > > > __mmask64 k0 = _mm512_cmpeq_epi8_mask (hay0, ned0); > > > > > > > > __mmask64 k1 = _mm512_cmpeq_epi8_mask (hay0, ned1); > > > > > > > > - k1 = _kshiftri_mask64 (k1, 1); > > > > > > > > + k1 = kshiftri_mask64 (k1, 1); > > > > > > > > /* k2 masks tell us if both chars from needle match */ > > > > > > > > - uint64_t k2 = _cvtmask64_u64 (_kand_mask64 (k0, k1)) & cmpmask; > > > > > > > > + uint64_t k2 = cvtmask64_u64 (kand_mask64 (k0, k1)) & cmpmask; > > > > > > > > /* For every match, search for the entire needle for a full match */ > > > > > > > > while (k2) > > > > > > > > { > > > > > > > > @@ -178,13 +182,13 @@ __strstr_avx512 (const char *haystack, const char *ned) > > > > > > > > hay0 = _mm512_loadu_si512 (haystack + hay_index); > > > > > > > > hay1 = _mm512_load_si512 (haystack + hay_index > > > > > > > > + 1); // Always 64 byte aligned > > > > > > > > - nullmask = _cvtmask64_u64 (_mm512_testn_epi8_mask (hay1, hay1)); > > > > > > > > + nullmask = cvtmask64_u64 (_mm512_testn_epi8_mask (hay1, hay1)); > > > > > > > > /* Compare only till null char */ > > > > > > > > cmpmask = nullmask ^ (nullmask - ONE_64BIT); > > > > > > > > k0 = _mm512_cmpeq_epi8_mask (hay0, ned0); > > > > > > > > k1 = _mm512_cmpeq_epi8_mask (hay1, ned1); > > > > > > > > /* k2 masks tell us if both chars from needle match */ > > > > > > > > - k2 = _cvtmask64_u64 (_kand_mask64 (k0, k1)) & cmpmask; > > > > > > > > + k2 = cvtmask64_u64 (kand_mask64 (k0, k1)) & cmpmask; > > > > > > > > /* For every match, compare full strings for potential match */ > > > > > > > > while (k2) > > > > > > > > { > > > > > > > > -- > > > > > > > > 2.34.1 > > > > > > > > > > > > > > > Sunil, > > > > > > > Does this work (v2 didn't get chained because I changed commit msg). > > > > > > > > > > > > Yes, v2 works. > > > > > > > > > > > > > > > > Any performance differences? > > > > > > > > It should generate the same code. It's just using standard operators instead > > > > of intrinsics. > > > > > > Has it been verified? > > > > You are right there are some diffs. > > > > Took a look at the ASM and think the new is probably fine, but will > > run a quick benchmark. > > Did 5 runs. Think the new one is fine and maybe even gets slightly better > codegen: Please update the commit log to remove "the same code". Thanks. > N = 5 runs. > Geometric Mean of All Results (New / Old): 0.958 > Results For: __strstr_avx512 > len_haystack,align_haystack ,align_needle ,fail ,len_needle ,New / Old > 8 ,1 ,3 ,0 ,1 ,0.834 > 8 ,0 ,9 ,1 ,1 ,1.07 > 9 ,1 ,3 ,0 ,1 ,1.031 > 9 ,0 ,9 ,1 ,1 ,0.943 > 8 ,4081 ,9 ,1 ,1 ,0.96 > 16 ,1 ,3 ,0 ,2 ,0.824 > 16 ,0 ,9 ,1 ,2 ,1.018 > 17 ,1 ,3 ,0 ,2 ,0.979 > 17 ,0 ,9 ,1 ,2 ,1.019 > 16 ,4081 ,9 ,1 ,2 ,1.015 > 24 ,1 ,3 ,0 ,3 ,0.979 > 24 ,0 ,9 ,1 ,3 ,0.972 > 25 ,1 ,3 ,0 ,3 ,0.99 > 25 ,0 ,9 ,1 ,3 ,0.998 > 24 ,4081 ,9 ,1 ,3 ,1.031 > 32 ,1 ,3 ,0 ,4 ,1.004 > 32 ,0 ,9 ,1 ,4 ,0.934 > 33 ,1 ,3 ,0 ,4 ,1.015 > 33 ,0 ,9 ,1 ,4 ,0.98 > 32 ,4081 ,9 ,1 ,4 ,1.019 > 40 ,1 ,3 ,0 ,5 ,1.016 > 40 ,0 ,9 ,1 ,5 ,1.017 > 41 ,1 ,3 ,0 ,5 ,1.059 > 41 ,0 ,9 ,1 ,5 ,1.011 > 40 ,4081 ,9 ,1 ,5 ,0.989 > 48 ,1 ,3 ,0 ,6 ,0.985 > 48 ,0 ,9 ,1 ,6 ,1.016 > 49 ,1 ,3 ,0 ,6 ,0.979 > 49 ,0 ,9 ,1 ,6 ,1.041 > 48 ,4081 ,9 ,1 ,6 ,0.975 > 56 ,1 ,3 ,0 ,7 ,1.017 > 56 ,0 ,9 ,1 ,7 ,1.004 > 57 ,1 ,3 ,0 ,7 ,1.049 > 57 ,0 ,9 ,1 ,7 ,0.985 > 56 ,4081 ,9 ,1 ,7 ,0.949 > 64 ,1 ,3 ,0 ,8 ,1.152 > 64 ,0 ,9 ,1 ,8 ,1.583 > 65 ,1 ,3 ,0 ,8 ,1.076 > 65 ,0 ,9 ,1 ,8 ,1.013 > 64 ,4081 ,9 ,1 ,8 ,1.038 > 96 ,1 ,3 ,0 ,9 ,1.007 > 96 ,0 ,9 ,1 ,9 ,1.001 > 97 ,1 ,3 ,0 ,9 ,0.973 > 97 ,0 ,9 ,1 ,9 ,1.021 > 96 ,4081 ,9 ,1 ,9 ,1.026 > 128 ,1 ,3 ,0 ,10 ,1.012 > 128 ,0 ,9 ,1 ,10 ,1.006 > 129 ,1 ,3 ,0 ,10 ,0.959 > 129 ,0 ,9 ,1 ,10 ,1.041 > 128 ,4081 ,9 ,1 ,10 ,0.956 > 160 ,1 ,3 ,0 ,11 ,0.967 > 160 ,0 ,9 ,1 ,11 ,1.008 > 161 ,1 ,3 ,0 ,11 ,0.97 > 161 ,0 ,9 ,1 ,11 ,0.982 > 160 ,4081 ,9 ,1 ,11 ,0.999 > 192 ,1 ,3 ,0 ,12 ,1.057 > 192 ,0 ,9 ,1 ,12 ,0.973 > 193 ,1 ,3 ,0 ,12 ,0.956 > 193 ,0 ,9 ,1 ,12 ,0.982 > 192 ,4081 ,9 ,1 ,12 ,0.955 > 224 ,1 ,3 ,0 ,13 ,0.979 > 224 ,0 ,9 ,1 ,13 ,0.995 > 225 ,1 ,3 ,0 ,13 ,0.966 > 225 ,0 ,9 ,1 ,13 ,0.973 > 224 ,4081 ,9 ,1 ,13 ,1.011 > 256 ,1 ,3 ,0 ,14 ,0.981 > 256 ,0 ,9 ,1 ,14 ,1.019 > 257 ,1 ,3 ,0 ,14 ,0.905 > 257 ,0 ,9 ,1 ,14 ,0.99 > 256 ,4081 ,9 ,1 ,14 ,0.994 > 288 ,1 ,3 ,0 ,15 ,0.963 > 288 ,0 ,9 ,1 ,15 ,0.981 > 289 ,1 ,3 ,0 ,15 ,0.97 > 289 ,0 ,9 ,1 ,15 ,0.855 > 288 ,4081 ,9 ,1 ,15 ,0.935 > 320 ,1 ,3 ,0 ,16 ,0.962 > 320 ,0 ,9 ,1 ,16 ,0.978 > 321 ,1 ,3 ,0 ,16 ,0.952 > 321 ,0 ,9 ,1 ,16 ,0.949 > 320 ,4081 ,9 ,1 ,16 ,0.983 > 256 ,1 ,11 ,0 ,4 ,0.967 > 256 ,14 ,5 ,1 ,4 ,0.997 > 257 ,1 ,11 ,0 ,5 ,1.008 > 257 ,14 ,5 ,1 ,5 ,0.97 > 257 ,1 ,11 ,0 ,4 ,1.001 > 257 ,14 ,5 ,1 ,4 ,0.985 > 257 ,4081 ,5 ,1 ,4 ,1.0 > 256 ,1 ,11 ,0 ,8 ,0.958 > 256 ,14 ,5 ,1 ,8 ,0.967 > 257 ,1 ,11 ,0 ,9 ,0.991 > 257 ,14 ,5 ,1 ,9 ,0.91 > 257 ,1 ,11 ,0 ,8 ,0.974 > 257 ,14 ,5 ,1 ,8 ,0.999 > 257 ,4081 ,5 ,1 ,8 ,0.958 > 256 ,1 ,11 ,0 ,16 ,0.957 > 256 ,14 ,5 ,1 ,16 ,1.009 > 257 ,1 ,11 ,0 ,17 ,0.983 > 257 ,14 ,5 ,1 ,17 ,0.94 > 257 ,1 ,11 ,0 ,16 ,0.956 > 257 ,14 ,5 ,1 ,16 ,0.99 > 257 ,4081 ,5 ,1 ,16 ,1.008 > 256 ,1 ,11 ,0 ,32 ,0.982 > 256 ,14 ,5 ,1 ,32 ,0.977 > 257 ,1 ,11 ,0 ,33 ,0.942 > 257 ,14 ,5 ,1 ,33 ,0.912 > 257 ,1 ,11 ,0 ,32 ,1.024 > 257 ,14 ,5 ,1 ,32 ,0.974 > 257 ,4081 ,5 ,1 ,32 ,0.953 > 256 ,1 ,11 ,0 ,64 ,0.955 > 256 ,14 ,5 ,1 ,64 ,0.938 > 257 ,1 ,11 ,0 ,65 ,0.916 > 257 ,14 ,5 ,1 ,65 ,0.942 > 257 ,1 ,11 ,0 ,64 ,0.94 > 257 ,14 ,5 ,1 ,64 ,0.952 > 257 ,4081 ,5 ,1 ,64 ,0.989 > 256 ,1 ,11 ,0 ,128 ,0.87 > 256 ,14 ,5 ,1 ,128 ,1.044 > 257 ,1 ,11 ,0 ,129 ,0.933 > 257 ,14 ,5 ,1 ,129 ,0.972 > 257 ,1 ,11 ,0 ,128 ,0.919 > 257 ,14 ,5 ,1 ,128 ,0.911 > 257 ,4081 ,5 ,1 ,128 ,0.958 > 256 ,1 ,11 ,0 ,256 ,1.069 > 256 ,14 ,5 ,1 ,256 ,0.984 > 257 ,1 ,11 ,0 ,257 ,1.067 > 257 ,14 ,5 ,1 ,257 ,0.969 > 257 ,1 ,11 ,0 ,256 ,1.081 > 257 ,14 ,5 ,1 ,256 ,0.936 > 257 ,4081 ,5 ,1 ,256 ,0.975 > 512 ,1 ,11 ,0 ,4 ,0.984 > 512 ,14 ,5 ,1 ,4 ,0.955 > 513 ,1 ,11 ,0 ,5 ,0.976 > 513 ,14 ,5 ,1 ,5 ,1.221 > 513 ,1 ,11 ,0 ,4 ,0.983 > 513 ,14 ,5 ,1 ,4 ,0.989 > 513 ,4081 ,5 ,1 ,4 ,0.962 > 512 ,1 ,11 ,0 ,8 ,0.949 > 512 ,14 ,5 ,1 ,8 ,0.957 > 513 ,1 ,11 ,0 ,9 ,0.959 > 513 ,14 ,5 ,1 ,9 ,0.972 > 513 ,1 ,11 ,0 ,8 ,0.977 > 513 ,14 ,5 ,1 ,8 ,0.951 > 513 ,4081 ,5 ,1 ,8 ,0.957 > 512 ,1 ,11 ,0 ,16 ,0.975 > 512 ,14 ,5 ,1 ,16 ,0.953 > 513 ,1 ,11 ,0 ,17 ,0.898 > 513 ,14 ,5 ,1 ,17 ,0.97 > 513 ,1 ,11 ,0 ,16 ,0.941 > 513 ,14 ,5 ,1 ,16 ,0.948 > 513 ,4081 ,5 ,1 ,16 ,0.948 > 512 ,1 ,11 ,0 ,32 ,0.917 > 512 ,14 ,5 ,1 ,32 ,0.963 > 513 ,1 ,11 ,0 ,33 ,0.937 > 513 ,14 ,5 ,1 ,33 ,0.969 > 513 ,1 ,11 ,0 ,32 ,0.995 > 513 ,14 ,5 ,1 ,32 ,1.001 > 513 ,4081 ,5 ,1 ,32 ,0.942 > 512 ,1 ,11 ,0 ,64 ,0.943 > 512 ,14 ,5 ,1 ,64 ,0.972 > 513 ,1 ,11 ,0 ,65 ,0.979 > 513 ,14 ,5 ,1 ,65 ,1.008 > 513 ,1 ,11 ,0 ,64 ,0.938 > 513 ,14 ,5 ,1 ,64 ,0.98 > 513 ,4081 ,5 ,1 ,64 ,0.988 > 512 ,1 ,11 ,0 ,128 ,0.91 > 512 ,14 ,5 ,1 ,128 ,0.964 > 513 ,1 ,11 ,0 ,129 ,0.918 > 513 ,14 ,5 ,1 ,129 ,0.958 > 513 ,1 ,11 ,0 ,128 ,0.931 > 513 ,14 ,5 ,1 ,128 ,0.957 > 513 ,4081 ,5 ,1 ,128 ,0.956 > 512 ,1 ,11 ,0 ,256 ,0.835 > 512 ,14 ,5 ,1 ,256 ,0.955 > 513 ,1 ,11 ,0 ,257 ,0.842 > 513 ,14 ,5 ,1 ,257 ,0.959 > 513 ,1 ,11 ,0 ,256 ,0.832 > 513 ,14 ,5 ,1 ,256 ,0.879 > 513 ,4081 ,5 ,1 ,256 ,0.95 > 1024 ,1 ,11 ,0 ,4 ,0.929 > 1024 ,14 ,5 ,1 ,4 ,0.965 > 1025 ,1 ,11 ,0 ,5 ,0.969 > 1025 ,14 ,5 ,1 ,5 ,0.951 > 1025 ,1 ,11 ,0 ,4 ,0.943 > 1025 ,14 ,5 ,1 ,4 ,0.973 > 1025 ,4081 ,5 ,1 ,4 ,0.982 > 1024 ,1 ,11 ,0 ,8 ,0.881 > 1024 ,14 ,5 ,1 ,8 ,0.924 > 1025 ,1 ,11 ,0 ,9 ,0.971 > 1025 ,14 ,5 ,1 ,9 ,0.948 > 1025 ,1 ,11 ,0 ,8 ,0.968 > 1025 ,14 ,5 ,1 ,8 ,0.967 > 1025 ,4081 ,5 ,1 ,8 ,0.965 > 1024 ,1 ,11 ,0 ,16 ,0.959 > 1024 ,14 ,5 ,1 ,16 ,0.957 > 1025 ,1 ,11 ,0 ,17 ,0.984 > 1025 ,14 ,5 ,1 ,17 ,0.964 > 1025 ,1 ,11 ,0 ,16 ,0.971 > 1025 ,14 ,5 ,1 ,16 ,0.977 > 1025 ,4081 ,5 ,1 ,16 ,0.97 > 1024 ,1 ,11 ,0 ,32 ,0.946 > 1024 ,14 ,5 ,1 ,32 ,0.967 > 1025 ,1 ,11 ,0 ,33 ,0.922 > 1025 ,14 ,5 ,1 ,33 ,0.843 > 1025 ,1 ,11 ,0 ,32 ,0.954 > 1025 ,14 ,5 ,1 ,32 ,0.98 > 1025 ,4081 ,5 ,1 ,32 ,0.97 > 1024 ,1 ,11 ,0 ,64 ,0.941 > 1024 ,14 ,5 ,1 ,64 ,0.958 > 1025 ,1 ,11 ,0 ,65 ,0.931 > 1025 ,14 ,5 ,1 ,65 ,0.866 > 1025 ,1 ,11 ,0 ,64 ,0.944 > 1025 ,14 ,5 ,1 ,64 ,0.915 > 1025 ,4081 ,5 ,1 ,64 ,0.956 > 1024 ,1 ,11 ,0 ,128 ,0.827 > 1024 ,14 ,5 ,1 ,128 ,0.938 > 1025 ,1 ,11 ,0 ,129 ,0.921 > 1025 ,14 ,5 ,1 ,129 ,0.95 > 1025 ,1 ,11 ,0 ,128 ,0.912 > 1025 ,14 ,5 ,1 ,128 ,1.005 > 1025 ,4081 ,5 ,1 ,128 ,0.965 > 1024 ,1 ,11 ,0 ,256 ,0.835 > 1024 ,14 ,5 ,1 ,256 ,0.967 > 1025 ,1 ,11 ,0 ,257 ,0.85 > 1025 ,14 ,5 ,1 ,257 ,0.96 > 1025 ,1 ,11 ,0 ,256 ,0.83 > 1025 ,14 ,5 ,1 ,256 ,0.948 > 1025 ,4081 ,5 ,1 ,256 ,0.946 > 2048 ,1 ,11 ,0 ,4 ,0.933 > 2048 ,14 ,5 ,1 ,4 ,0.913 > 2049 ,1 ,11 ,0 ,5 ,0.962 > 2049 ,14 ,5 ,1 ,5 ,0.961 > 2049 ,1 ,11 ,0 ,4 ,0.866 > 2049 ,14 ,5 ,1 ,4 ,1.05 > 2049 ,4081 ,5 ,1 ,4 ,0.995 > 2048 ,1 ,11 ,0 ,8 ,0.929 > 2048 ,14 ,5 ,1 ,8 ,0.976 > 2049 ,1 ,11 ,0 ,9 ,0.899 > 2049 ,14 ,5 ,1 ,9 ,0.995 > 2049 ,1 ,11 ,0 ,8 ,0.965 > 2049 ,14 ,5 ,1 ,8 ,1.03 > 2049 ,4081 ,5 ,1 ,8 ,0.958 > 2048 ,1 ,11 ,0 ,16 ,0.858 > 2048 ,14 ,5 ,1 ,16 ,0.963 > 2049 ,1 ,11 ,0 ,17 ,0.97 > 2049 ,14 ,5 ,1 ,17 ,0.875 > 2049 ,1 ,11 ,0 ,16 ,0.862 > 2049 ,14 ,5 ,1 ,16 ,0.97 > 2049 ,4081 ,5 ,1 ,16 ,0.937 > 2048 ,1 ,11 ,0 ,32 ,0.919 > 2048 ,14 ,5 ,1 ,32 ,0.875 > 2049 ,1 ,11 ,0 ,33 ,0.955 > 2049 ,14 ,5 ,1 ,33 ,0.96 > 2049 ,1 ,11 ,0 ,32 ,0.937 > 2049 ,14 ,5 ,1 ,32 ,1.028 > 2049 ,4081 ,5 ,1 ,32 ,0.94 > 2048 ,1 ,11 ,0 ,64 ,0.966 > 2048 ,14 ,5 ,1 ,64 ,0.944 > 2049 ,1 ,11 ,0 ,65 ,0.948 > 2049 ,14 ,5 ,1 ,65 ,0.947 > 2049 ,1 ,11 ,0 ,64 ,1.008 > 2049 ,14 ,5 ,1 ,64 ,0.98 > 2049 ,4081 ,5 ,1 ,64 ,0.974 > 2048 ,1 ,11 ,0 ,128 ,0.97 > 2048 ,14 ,5 ,1 ,128 ,0.947 > 2049 ,1 ,11 ,0 ,129 ,0.95 > 2049 ,14 ,5 ,1 ,129 ,0.939 > 2049 ,1 ,11 ,0 ,128 ,0.852 > 2049 ,14 ,5 ,1 ,128 ,0.742 > 2049 ,4081 ,5 ,1 ,128 ,0.674 > 2048 ,1 ,11 ,0 ,256 ,0.86 > 2048 ,14 ,5 ,1 ,256 ,0.89 > 2049 ,1 ,11 ,0 ,257 ,0.76 > 2049 ,14 ,5 ,1 ,257 ,0.886 > 2049 ,1 ,11 ,0 ,256 ,0.876 > 2049 ,14 ,5 ,1 ,256 ,0.915 > 2049 ,4081 ,5 ,1 ,256 ,0.942 > 4096 ,1 ,11 ,0 ,4 ,0.926 > 4096 ,14 ,5 ,1 ,4 ,0.927 > 4097 ,1 ,11 ,0 ,5 ,0.965 > 4097 ,14 ,5 ,1 ,5 ,0.978 > 4097 ,1 ,11 ,0 ,4 ,0.973 > 4097 ,14 ,5 ,1 ,4 ,0.997 > 4097 ,4081 ,5 ,1 ,4 ,0.982 > 4096 ,1 ,11 ,0 ,8 ,0.948 > 4096 ,14 ,5 ,1 ,8 ,0.937 > 4097 ,1 ,11 ,0 ,9 ,0.949 > 4097 ,14 ,5 ,1 ,9 ,0.964 > 4097 ,1 ,11 ,0 ,8 ,0.998 > 4097 ,14 ,5 ,1 ,8 ,0.98 > 4097 ,4081 ,5 ,1 ,8 ,0.972 > 4096 ,1 ,11 ,0 ,16 ,0.95 > 4096 ,14 ,5 ,1 ,16 ,0.954 > 4097 ,1 ,11 ,0 ,17 ,0.978 > 4097 ,14 ,5 ,1 ,17 ,0.964 > 4097 ,1 ,11 ,0 ,16 ,0.962 > 4097 ,14 ,5 ,1 ,16 ,0.952 > 4097 ,4081 ,5 ,1 ,16 ,0.944 > 4096 ,1 ,11 ,0 ,32 ,0.965 > 4096 ,14 ,5 ,1 ,32 ,0.971 > 4097 ,1 ,11 ,0 ,33 ,0.996 > 4097 ,14 ,5 ,1 ,33 ,0.976 > 4097 ,1 ,11 ,0 ,32 ,1.029 > 4097 ,14 ,5 ,1 ,32 ,1.255 > 4097 ,4081 ,5 ,1 ,32 ,0.992 > 4096 ,1 ,11 ,0 ,64 ,1.0 > 4096 ,14 ,5 ,1 ,64 ,0.98 > 4097 ,1 ,11 ,0 ,65 ,0.996 > 4097 ,14 ,5 ,1 ,65 ,0.985 > 4097 ,1 ,11 ,0 ,64 ,0.98 > 4097 ,14 ,5 ,1 ,64 ,0.966 > 4097 ,4081 ,5 ,1 ,64 ,0.955 > 4096 ,1 ,11 ,0 ,128 ,0.914 > 4096 ,14 ,5 ,1 ,128 ,0.897 > 4097 ,1 ,11 ,0 ,129 ,0.93 > 4097 ,14 ,5 ,1 ,129 ,0.98 > 4097 ,1 ,11 ,0 ,128 ,0.94 > 4097 ,14 ,5 ,1 ,128 ,0.965 > 4097 ,4081 ,5 ,1 ,128 ,0.964 > 4096 ,1 ,11 ,0 ,256 ,0.904 > 4096 ,14 ,5 ,1 ,256 ,0.981 > 4097 ,1 ,11 ,0 ,257 ,0.968 > 4097 ,14 ,5 ,1 ,257 ,0.921 > 4097 ,1 ,11 ,0 ,256 ,0.884 > 4097 ,14 ,5 ,1 ,256 ,0.925 > 4097 ,4081 ,5 ,1 ,256 ,0.94 > 8192 ,1 ,11 ,0 ,4 ,0.961 > 8192 ,14 ,5 ,1 ,4 ,0.959 > 8193 ,1 ,11 ,0 ,5 ,0.927 > 8193 ,14 ,5 ,1 ,5 ,0.961 > 8193 ,1 ,11 ,0 ,4 ,0.938 > 8193 ,14 ,5 ,1 ,4 ,0.956 > 8193 ,4081 ,5 ,1 ,4 ,0.979 > 8192 ,1 ,11 ,0 ,8 ,0.962 > 8192 ,14 ,5 ,1 ,8 ,1.139 > 8193 ,1 ,11 ,0 ,9 ,1.178 > 8193 ,14 ,5 ,1 ,9 ,0.95 > 8193 ,1 ,11 ,0 ,8 ,0.97 > 8193 ,14 ,5 ,1 ,8 ,0.935 > 8193 ,4081 ,5 ,1 ,8 ,0.999 > 8192 ,1 ,11 ,0 ,16 ,0.908 > 8192 ,14 ,5 ,1 ,16 ,0.907 > 8193 ,1 ,11 ,0 ,17 ,0.997 > 8193 ,14 ,5 ,1 ,17 ,0.838 > 8193 ,1 ,11 ,0 ,16 ,0.968 > 8193 ,14 ,5 ,1 ,16 ,0.713 > 8193 ,4081 ,5 ,1 ,16 ,0.98 > 8192 ,1 ,11 ,0 ,32 ,1.01 > 8192 ,14 ,5 ,1 ,32 ,0.949 > 8193 ,1 ,11 ,0 ,33 ,0.958 > 8193 ,14 ,5 ,1 ,33 ,0.941 > 8193 ,1 ,11 ,0 ,32 ,0.953 > 8193 ,14 ,5 ,1 ,32 ,0.929 > 8193 ,4081 ,5 ,1 ,32 ,0.97 > 8192 ,1 ,11 ,0 ,64 ,0.95 > 8192 ,14 ,5 ,1 ,64 ,0.913 > 8193 ,1 ,11 ,0 ,65 ,0.958 > 8193 ,14 ,5 ,1 ,65 ,0.934 > 8193 ,1 ,11 ,0 ,64 ,0.905 > 8193 ,14 ,5 ,1 ,64 ,0.89 > 8193 ,4081 ,5 ,1 ,64 ,0.885 > 8192 ,1 ,11 ,0 ,128 ,0.885 > 8192 ,14 ,5 ,1 ,128 ,0.934 > 8193 ,1 ,11 ,0 ,129 ,0.933 > 8193 ,14 ,5 ,1 ,129 ,0.985 > 8193 ,1 ,11 ,0 ,128 ,0.913 > 8193 ,14 ,5 ,1 ,128 ,0.931 > 8193 ,4081 ,5 ,1 ,128 ,0.967 > 8192 ,1 ,11 ,0 ,256 ,0.903 > 8192 ,14 ,5 ,1 ,256 ,0.908 > 8193 ,1 ,11 ,0 ,257 ,0.915 > 8193 ,14 ,5 ,1 ,257 ,0.969 > 8193 ,1 ,11 ,0 ,256 ,0.918 > 8193 ,14 ,5 ,1 ,256 ,0.92 > 8193 ,4081 ,5 ,1 ,256 ,0.967 > 16384 ,1 ,11 ,0 ,4 ,0.99 > 16384 ,14 ,5 ,1 ,4 ,0.961 > 16385 ,1 ,11 ,0 ,5 ,0.862 > 16385 ,14 ,5 ,1 ,5 ,0.836 > 16385 ,1 ,11 ,0 ,4 ,0.969 > 16385 ,14 ,5 ,1 ,4 ,0.97 > 16385 ,4081 ,5 ,1 ,4 ,0.973 > 16384 ,1 ,11 ,0 ,8 ,0.931 > 16384 ,14 ,5 ,1 ,8 ,0.953 > 16385 ,1 ,11 ,0 ,9 ,0.923 > 16385 ,14 ,5 ,1 ,9 ,0.821 > 16385 ,1 ,11 ,0 ,8 ,0.829 > 16385 ,14 ,5 ,1 ,8 ,0.953 > 16385 ,4081 ,5 ,1 ,8 ,0.953 > 16384 ,1 ,11 ,0 ,16 ,0.951 > 16384 ,14 ,5 ,1 ,16 ,0.932 > 16385 ,1 ,11 ,0 ,17 ,0.954 > 16385 ,14 ,5 ,1 ,17 ,0.981 > 16385 ,1 ,11 ,0 ,16 ,0.955 > 16385 ,14 ,5 ,1 ,16 ,0.982 > 16385 ,4081 ,5 ,1 ,16 ,0.951 > 16384 ,1 ,11 ,0 ,32 ,0.995 > 16384 ,14 ,5 ,1 ,32 ,0.982 > 16385 ,1 ,11 ,0 ,33 ,0.967 > 16385 ,14 ,5 ,1 ,33 ,0.945 > 16385 ,1 ,11 ,0 ,32 ,0.953 > 16385 ,14 ,5 ,1 ,32 ,0.942 > 16385 ,4081 ,5 ,1 ,32 ,0.967 > 16384 ,1 ,11 ,0 ,64 ,0.962 > 16384 ,14 ,5 ,1 ,64 ,0.957 > 16385 ,1 ,11 ,0 ,65 ,1.011 > 16385 ,14 ,5 ,1 ,65 ,0.931 > 16385 ,1 ,11 ,0 ,64 ,0.965 > 16385 ,14 ,5 ,1 ,64 ,0.947 > 16385 ,4081 ,5 ,1 ,64 ,0.96 > 16384 ,1 ,11 ,0 ,128 ,0.931 > 16384 ,14 ,5 ,1 ,128 ,0.935 > 16385 ,1 ,11 ,0 ,129 ,0.948 > 16385 ,14 ,5 ,1 ,129 ,0.943 > 16385 ,1 ,11 ,0 ,128 ,0.94 > 16385 ,14 ,5 ,1 ,128 ,0.841 > 16385 ,4081 ,5 ,1 ,128 ,0.97 > 16384 ,1 ,11 ,0 ,256 ,0.911 > 16384 ,14 ,5 ,1 ,256 ,0.944 > 16385 ,1 ,11 ,0 ,257 ,0.913 > 16385 ,14 ,5 ,1 ,257 ,0.925 > 16385 ,1 ,11 ,0 ,256 ,0.846 > 16385 ,14 ,5 ,1 ,256 ,0.966 > 16385 ,4081 ,5 ,1 ,256 ,1.037 > 32768 ,1 ,11 ,0 ,4 ,0.984 > 32768 ,14 ,5 ,1 ,4 ,1.015 > 32769 ,1 ,11 ,0 ,5 ,0.972 > 32769 ,14 ,5 ,1 ,5 ,0.958 > 32769 ,1 ,11 ,0 ,4 ,0.955 > 32769 ,14 ,5 ,1 ,4 ,0.95 > 32769 ,4081 ,5 ,1 ,4 ,1.041 > 32768 ,1 ,11 ,0 ,8 ,0.934 > 32768 ,14 ,5 ,1 ,8 ,1.067 > 32769 ,1 ,11 ,0 ,9 ,1.003 > 32769 ,14 ,5 ,1 ,9 ,1.089 > 32769 ,1 ,11 ,0 ,8 ,1.0 > 32769 ,14 ,5 ,1 ,8 ,1.068 > 32769 ,4081 ,5 ,1 ,8 ,0.986 > 32768 ,1 ,11 ,0 ,16 ,0.994 > 32768 ,14 ,5 ,1 ,16 ,0.994 > 32769 ,1 ,11 ,0 ,17 ,1.008 > 32769 ,14 ,5 ,1 ,17 ,0.95 > 32769 ,1 ,11 ,0 ,16 ,0.953 > 32769 ,14 ,5 ,1 ,16 ,0.954 > 32769 ,4081 ,5 ,1 ,16 ,0.956 > 32768 ,1 ,11 ,0 ,32 ,1.037 > 32768 ,14 ,5 ,1 ,32 ,0.751 > 32769 ,1 ,11 ,0 ,33 ,0.769 > 32769 ,14 ,5 ,1 ,33 ,0.906 > 32769 ,1 ,11 ,0 ,32 ,0.867 > 32769 ,14 ,5 ,1 ,32 ,0.919 > 32769 ,4081 ,5 ,1 ,32 ,1.145 > 32768 ,1 ,11 ,0 ,64 ,0.909 > 32768 ,14 ,5 ,1 ,64 ,0.947 > 32769 ,1 ,11 ,0 ,65 ,0.896 > 32769 ,14 ,5 ,1 ,65 ,0.964 > 32769 ,1 ,11 ,0 ,64 ,0.996 > 32769 ,14 ,5 ,1 ,64 ,0.905 > 32769 ,4081 ,5 ,1 ,64 ,0.996 > 32768 ,1 ,11 ,0 ,128 ,0.856 > 32768 ,14 ,5 ,1 ,128 ,1.061 > 32769 ,1 ,11 ,0 ,129 ,1.027 > 32769 ,14 ,5 ,1 ,129 ,0.886 > 32769 ,1 ,11 ,0 ,128 ,0.957 > 32769 ,14 ,5 ,1 ,128 ,0.97 > 32769 ,4081 ,5 ,1 ,128 ,1.097 > 32768 ,1 ,11 ,0 ,256 ,0.914 > 32768 ,14 ,5 ,1 ,256 ,0.994 > 32769 ,1 ,11 ,0 ,257 ,0.865 > 32769 ,14 ,5 ,1 ,257 ,0.889 > 32769 ,1 ,11 ,0 ,256 ,0.951 > 32769 ,14 ,5 ,1 ,256 ,0.938 > 32769 ,4081 ,5 ,1 ,256 ,0.972 > 65536 ,1 ,11 ,0 ,4 ,1.02 > 65536 ,14 ,5 ,1 ,4 ,0.962 > 65537 ,1 ,11 ,0 ,5 ,1.006 > 65537 ,14 ,5 ,1 ,5 ,0.959 > 65537 ,1 ,11 ,0 ,4 ,0.949 > 65537 ,14 ,5 ,1 ,4 ,0.945 > 65537 ,4081 ,5 ,1 ,4 ,0.976 > 65536 ,1 ,11 ,0 ,8 ,1.007 > 65536 ,14 ,5 ,1 ,8 ,0.997 > 65537 ,1 ,11 ,0 ,9 ,1.008 > 65537 ,14 ,5 ,1 ,9 ,0.971 > 65537 ,1 ,11 ,0 ,8 ,0.893 > 65537 ,14 ,5 ,1 ,8 ,0.929 > 65537 ,4081 ,5 ,1 ,8 ,0.956 > 65536 ,1 ,11 ,0 ,16 ,0.921 > 65536 ,14 ,5 ,1 ,16 ,0.909 > 65537 ,1 ,11 ,0 ,17 ,0.986 > 65537 ,14 ,5 ,1 ,17 ,0.962 > 65537 ,1 ,11 ,0 ,16 ,0.93 > 65537 ,14 ,5 ,1 ,16 ,0.947 > 65537 ,4081 ,5 ,1 ,16 ,0.885 > 65536 ,1 ,11 ,0 ,32 ,1.001 > 65536 ,14 ,5 ,1 ,32 ,0.93 > 65537 ,1 ,11 ,0 ,33 ,0.87 > 65537 ,14 ,5 ,1 ,33 ,1.038 > 65537 ,1 ,11 ,0 ,32 ,0.934 > 65537 ,14 ,5 ,1 ,32 ,1.094 > 65537 ,4081 ,5 ,1 ,32 ,0.997 > 65536 ,1 ,11 ,0 ,64 ,0.975 > 65536 ,14 ,5 ,1 ,64 ,0.964 > 65537 ,1 ,11 ,0 ,65 ,1.027 > 65537 ,14 ,5 ,1 ,65 ,0.942 > 65537 ,1 ,11 ,0 ,64 ,0.996 > 65537 ,14 ,5 ,1 ,64 ,0.938 > 65537 ,4081 ,5 ,1 ,64 ,0.913 > 65536 ,1 ,11 ,0 ,128 ,0.967 > 65536 ,14 ,5 ,1 ,128 ,0.991 > 65537 ,1 ,11 ,0 ,129 ,0.949 > 65537 ,14 ,5 ,1 ,129 ,0.948 > 65537 ,1 ,11 ,0 ,128 ,1.019 > 65537 ,14 ,5 ,1 ,128 ,1.028 > 65537 ,4081 ,5 ,1 ,128 ,0.978 > 65536 ,1 ,11 ,0 ,256 ,0.956 > 65536 ,14 ,5 ,1 ,256 ,0.932 > 65537 ,1 ,11 ,0 ,257 ,0.982 > 65537 ,14 ,5 ,1 ,257 ,0.972 > 65537 ,1 ,11 ,0 ,256 ,0.933 > 65537 ,14 ,5 ,1 ,256 ,0.947 > 65537 ,4081 ,5 ,1 ,256 ,0.939 > 65536 ,0 ,0 ,1 ,64 ,0.974 > 65536 ,0 ,0 ,1 ,256 ,0.948 > 65536 ,0 ,0 ,1 ,1024 ,0.917 > > > > > > > > > > > > > > > > > > > > > > -- > > > > > H.J. > > > > > > > > > > > > -- > > > H.J. -- H.J.